id	sid	tid	token	lemma	pos
m-917	1	1	ijo	ijo	PROPN
m-917	1	2	international	international	PROPN
m-917	1	3	journal	journal	PROPN
m-917	1	4	of	of	ADP
m-917	1	5	mathematics	mathematics	PROPN
m-917	1	6	(	(	PUNCT
m-917	1	7	issn	issn	PROPN
m-917	1	8	:	:	PUNCT
m-917	1	9	2992	2992	NUM
m-917	1	10	-	-	SYM
m-917	1	11	4421	4421	NUM
m-917	1	12	)	)	PUNCT
m-917	1	13	osuagwu	osuagwu	ADV
m-917	1	14	,	,	PUNCT
m-917	1	15	chidimma	chidimma	PROPN
m-917	1	16	udo	udo	PROPN
m-917	1	17	.	.	PROPN
m-917	1	18	*	*	PROPN
m-917	2	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	2	2	volume	volume	NOUN
m-917	2	3	07	07	NUM
m-917	2	4	||	||	NOUN
m-917	2	5	issue	issue	NOUN
m-917	2	6	08	08	NUM
m-917	2	7	||	||	NOUN
m-917	2	8	august	august	PROPN
m-917	2	9	,	,	PUNCT
m-917	2	10	2024	2024	NUM
m-917	2	11	||	||	NOUN
m-917	2	12	performance	performance	NOUN
m-917	2	13	evaluation	evaluation	NOUN
m-917	2	14	of	of	ADP
m-917	2	15	canonical	canonical	ADJ
m-917	2	16	correlation	correlation	NOUN
m-917	2	17	analysis	analysis	NOUN
m-917	2	18	and	and	CCONJ
m-917	2	19	redundancy	redundancy	NOUN
m-917	2	20	analysisusing	analysisuse	VERB
m-917	2	21	gaussian	gaussian	NOUN
m-917	2	22	,	,	PUNCT
m-917	2	23	gamma	gamma	NOUN
m-917	2	24	,	,	PUNCT
m-917	2	25	exponential	exponential	NOUN
m-917	2	26	and	and	CCONJ
m-917	2	27	beta	beta	NOUN
m-917	2	28	distributed	distribute	VERB
m-917	2	29	data	datum	NOUN
m-917	2	30	performance	performance	NOUN
m-917	2	31	evaluation	evaluation	NOUN
m-917	2	32	of	of	ADP
m-917	2	33	canonical	canonical	ADJ
m-917	2	34	correlation	correlation	NOUN
m-917	2	35	analysis	analysis	NOUN
m-917	2	36	and	and	CCONJ
m-917	2	37	redundancy	redundancy	NOUN
m-917	2	38	analysisusing	analysisuse	VERB
m-917	2	39	gaussian	gaussian	NOUN
m-917	2	40	,	,	PUNCT
m-917	2	41	gamma	gamma	NOUN
m-917	2	42	,	,	PUNCT
m-917	2	43	exponential	exponential	NOUN
m-917	2	44	and	and	CCONJ
m-917	2	45	beta	beta	NOUN
m-917	2	46	distributed	distribute	VERB
m-917	2	47	data	datum	NOUN
m-917	2	48	osuagwu	osuagwu	ADV
m-917	2	49	,	,	PUNCT
m-917	2	50	chidimma	chidimma	PROPN
m-917	2	51	udo	udo	PROPN
m-917	2	52	department	department	PROPN
m-917	2	53	of	of	ADP
m-917	2	54	statistics	statistic	NOUN
m-917	2	55	,	,	PUNCT
m-917	2	56	federal	federal	ADJ
m-917	2	57	university	university	NOUN
m-917	2	58	of	of	ADP
m-917	2	59	technology	technology	PROPN
m-917	2	60	,	,	PUNCT
m-917	2	61	owerri	owerri	PROPN
m-917	2	62	,	,	PUNCT
m-917	2	63	imo	imo	PROPN
m-917	2	64	state	state	PROPN
m-917	2	65	nigeria	nigeria	PROPN
m-917	2	66	okenwe	okenwe	PROPN
m-917	2	67	idochi	idochi	PROPN
m-917	2	68	department	department	PROPN
m-917	2	69	of	of	ADP
m-917	2	70	statistics	statistic	NOUN
m-917	2	71	,	,	PUNCT
m-917	2	72	school	school	NOUN
m-917	2	73	of	of	ADP
m-917	2	74	applied	apply	VERB
m-917	2	75	sciences	science	NOUN
m-917	2	76	,	,	PUNCT
m-917	2	77	ken	ken	PROPN
m-917	2	78	saro	saro	NOUN
m-917	2	79	wiwa	wiwa	NOUN
m-917	2	80	polytechnic	polytechnic	ADJ
m-917	2	81	pmb	pmb	PROPN
m-917	2	82	20	20	NUM
m-917	2	83	,	,	PUNCT
m-917	2	84	bori	bori	NOUN
m-917	2	85	,	,	PUNCT
m-917	2	86	rivers	river	NOUN
m-917	2	87	state	state	PROPN
m-917	2	88	nigeria	nigeria	PROPN
m-917	2	89	abstract	abstract	ADV
m-917	2	90	this	this	DET
m-917	2	91	study	study	NOUN
m-917	2	92	was	be	AUX
m-917	2	93	embarked	embark	VERB
m-917	2	94	to	to	PART
m-917	2	95	examine	examine	VERB
m-917	2	96	the	the	DET
m-917	2	97	performance	performance	NOUN
m-917	2	98	evaluation	evaluation	NOUN
m-917	2	99	of	of	ADP
m-917	2	100	canonical	canonical	ADJ
m-917	2	101	correlation	correlation	NOUN
m-917	2	102	and	and	CCONJ
m-917	2	103	redundancy	redundancy	NOUN
m-917	2	104	analysis	analysis	NOUN
m-917	2	105	with	with	ADP
m-917	2	106	some	some	DET
m-917	2	107	continuous	continuous	ADJ
m-917	2	108	distributed	distributed	ADJ
m-917	2	109	data	datum	NOUN
m-917	2	110	(	(	PUNCT
m-917	2	111	gaussian	gaussian	NOUN
m-917	2	112	,	,	PUNCT
m-917	2	113	gamma	gamma	NOUN
m-917	2	114	,	,	PUNCT
m-917	2	115	exponential	exponential	NOUN
m-917	2	116	and	and	CCONJ
m-917	2	117	beta	beta	NOUN
m-917	2	118	)	)	PUNCT
m-917	2	119	.	.	PUNCT
m-917	3	1	the	the	DET
m-917	3	2	objectives	objective	NOUN
m-917	3	3	of	of	ADP
m-917	3	4	the	the	DET
m-917	3	5	study	study	NOUN
m-917	3	6	were	be	AUX
m-917	3	7	to	to	PART
m-917	3	8	:	:	PUNCT
m-917	3	9	obtain	obtain	VERB
m-917	3	10	the	the	DET
m-917	3	11	relative	relative	ADJ
m-917	3	12	efficiency	efficiency	NOUN
m-917	3	13	of	of	ADP
m-917	3	14	cca	cca	NOUN
m-917	3	15	and	and	CCONJ
m-917	3	16	rda	rda	NOUN
m-917	3	17	techniques	technique	NOUN
m-917	3	18	for	for	ADP
m-917	3	19	four	four	NUM
m-917	3	20	continuous	continuous	ADJ
m-917	3	21	distributed	distribute	VERB
m-917	3	22	simulated	simulate	VERB
m-917	3	23	data	datum	NOUN
m-917	3	24	;	;	PUNCT
m-917	3	25	and	and	CCONJ
m-917	3	26	determine	determine	VERB
m-917	3	27	the	the	DET
m-917	3	28	model	model	NOUN
m-917	3	29	performance	performance	NOUN
m-917	3	30	adequacy	adequacy	NOUN
m-917	3	31	of	of	ADP
m-917	3	32	cca	cca	NOUN
m-917	3	33	and	and	CCONJ
m-917	3	34	rda	rda	NOUN
m-917	3	35	techniques	technique	NOUN
m-917	3	36	.	.	PUNCT
m-917	4	1	three	three	NUM
m-917	4	2	variates	variate	NOUN
m-917	4	3	of	of	ADP
m-917	4	4	the	the	DET
m-917	4	5	response	response	NOUN
m-917	4	6	variable	variable	NOUN
m-917	4	7	(	(	PUNCT
m-917	4	8	y1	y1	PROPN
m-917	4	9	,	,	PUNCT
m-917	4	10	y2	y2	PROPN
m-917	4	11	,	,	PUNCT
m-917	4	12	y3	y3	PROPN
m-917	4	13	)	)	PUNCT
m-917	4	14	and	and	CCONJ
m-917	4	15	three	three	NUM
m-917	4	16	variates	variate	NOUN
m-917	4	17	of	of	ADP
m-917	4	18	independent	independent	ADJ
m-917	4	19	variables	variable	NOUN
m-917	4	20	(	(	PUNCT
m-917	4	21	x1	x1	PROPN
m-917	4	22	,	,	PUNCT
m-917	4	23	x2	x2	PROPN
m-917	4	24	,	,	PUNCT
m-917	4	25	x3	x3	ADJ
m-917	4	26	)	)	PUNCT
m-917	4	27	were	be	AUX
m-917	4	28	used	use	VERB
m-917	4	29	for	for	ADP
m-917	4	30	the	the	DET
m-917	4	31	simulation	simulation	NOUN
m-917	4	32	.	.	PUNCT
m-917	5	1	the	the	DET
m-917	5	2	means	mean	NOUN
m-917	5	3	used	use	VERB
m-917	5	4	for	for	ADP
m-917	5	5	response	response	NOUN
m-917	5	6	and	and	CCONJ
m-917	5	7	independent	independent	ADJ
m-917	5	8	variables	variable	NOUN
m-917	5	9	for	for	ADP
m-917	5	10	the	the	DET
m-917	5	11	gaussian	gaussian	ADJ
m-917	5	12	distribution	distribution	NOUN
m-917	5	13	were	be	AUX
m-917	5	14	80	80	NUM
m-917	5	15	,	,	PUNCT
m-917	5	16	85	85	NUM
m-917	5	17	and	and	CCONJ
m-917	5	18	90	90	NUM
m-917	5	19	,	,	PUNCT
m-917	5	20	whereas	whereas	SCONJ
m-917	5	21	their	their	PRON
m-917	5	22	standard	standard	ADJ
m-917	5	23	deviations	deviation	NOUN
m-917	5	24	were	be	AUX
m-917	5	25	10	10	NUM
m-917	5	26	,	,	PUNCT
m-917	5	27	12	12	NUM
m-917	5	28	and	and	CCONJ
m-917	5	29	15	15	NUM
m-917	5	30	.	.	PUNCT
m-917	6	1	the	the	DET
m-917	6	2	alpha	alpha	ADJ
m-917	6	3	values	value	NOUN
m-917	6	4	used	use	VERB
m-917	6	5	for	for	ADP
m-917	6	6	response	response	NOUN
m-917	6	7	and	and	CCONJ
m-917	6	8	independent	independent	ADJ
m-917	6	9	variables	variable	NOUN
m-917	6	10	for	for	ADP
m-917	6	11	the	the	DET
m-917	6	12	gamma	gamma	NOUN
m-917	6	13	distribution	distribution	NOUN
m-917	6	14	were	be	AUX
m-917	6	15	80	80	NUM
m-917	6	16	,	,	PUNCT
m-917	6	17	85	85	NUM
m-917	6	18	and	and	CCONJ
m-917	6	19	90	90	NUM
m-917	6	20	whereas	whereas	SCONJ
m-917	6	21	their	their	PRON
m-917	6	22	theta	theta	NOUN
m-917	6	23	values	value	NOUN
m-917	6	24	were	be	AUX
m-917	6	25	40	40	NUM
m-917	6	26	,	,	PUNCT
m-917	6	27	43	43	NUM
m-917	6	28	and	and	CCONJ
m-917	6	29	45	45	NUM
m-917	6	30	.	.	PUNCT
m-917	7	1	the	the	DET
m-917	7	2	rates	rate	NOUN
m-917	7	3	parameters	parameter	NOUN
m-917	7	4	used	use	VERB
m-917	7	5	for	for	ADP
m-917	7	6	response	response	NOUN
m-917	7	7	and	and	CCONJ
m-917	7	8	independent	independent	ADJ
m-917	7	9	variables	variable	NOUN
m-917	7	10	for	for	ADP
m-917	7	11	the	the	DET
m-917	7	12	exponential	exponential	ADJ
m-917	7	13	distribution	distribution	NOUN
m-917	7	14	were	be	AUX
m-917	7	15	0.5	0.5	NUM
m-917	7	16	.	.	PUNCT
m-917	7	17	0.7	0.7	NUM
m-917	7	18	and	and	CCONJ
m-917	7	19	0.9	0.9	NUM
m-917	7	20	;	;	PUNCT
m-917	7	21	whereas	whereas	SCONJ
m-917	7	22	the	the	DET
m-917	7	23	shape	shape	NOUN
m-917	7	24	parameters	parameter	NOUN
m-917	7	25	used	use	VERB
m-917	7	26	for	for	ADP
m-917	7	27	the	the	DET
m-917	7	28	beta	beta	ADJ
m-917	7	29	distribution	distribution	NOUN
m-917	7	30	were	be	AUX
m-917	7	31	taking	take	VERB
m-917	7	32	from	from	ADP
m-917	7	33	2	2	NUM
m-917	7	34	to	to	ADP
m-917	7	35	5	5	NUM
m-917	7	36	values	value	NOUN
m-917	7	37	.	.	PUNCT
m-917	8	1	the	the	DET
m-917	8	2	adequacy	adequacy	NOUN
m-917	8	3	of	of	ADP
m-917	8	4	the	the	DET
m-917	8	5	cca	cca	NOUN
m-917	8	6	and	and	CCONJ
m-917	8	7	rda	rda	NOUN
m-917	8	8	was	be	AUX
m-917	8	9	evaluated	evaluate	VERB
m-917	8	10	with	with	ADP
m-917	8	11	wilcoxon	wilcoxon	PROPN
m-917	8	12	rank	rank	PROPN
m-917	8	13	sum	sum	PROPN
m-917	8	14	test	test	NOUN
m-917	8	15	;	;	PUNCT
m-917	8	16	and	and	CCONJ
m-917	8	17	the	the	DET
m-917	8	18	study	study	NOUN
m-917	8	19	concluded	conclude	VERB
m-917	8	20	thatrda	thatrda	PROPN
m-917	8	21	was	be	AUX
m-917	8	22	more	more	ADV
m-917	8	23	efficient	efficient	ADJ
m-917	8	24	than	than	ADP
m-917	8	25	that	that	PRON
m-917	8	26	of	of	ADP
m-917	8	27	cca	cca	PROPN
m-917	8	28	for	for	ADP
m-917	8	29	the	the	DET
m-917	8	30	beta	beta	NOUN
m-917	8	31	distributed	distribute	VERB
m-917	8	32	data	datum	NOUN
m-917	8	33	,	,	PUNCT
m-917	8	34	while	while	SCONJ
m-917	8	35	for	for	ADP
m-917	8	36	gaussian	gaussian	NOUN
m-917	8	37	,	,	PUNCT
m-917	8	38	gamma	gamma	NOUN
m-917	8	39	and	and	CCONJ
m-917	8	40	exponential	exponential	ADJ
m-917	8	41	distributed	distribute	VERB
m-917	8	42	data	datum	NOUN
m-917	8	43	,	,	PUNCT
m-917	8	44	the	the	DET
m-917	8	45	relative	relative	ADJ
m-917	8	46	efficiency	efficiency	NOUN
m-917	8	47	of	of	ADP
m-917	8	48	the	the	DET
m-917	8	49	cca	cca	NOUN
m-917	8	50	and	and	CCONJ
m-917	8	51	rda	rda	NOUN
m-917	8	52	was	be	AUX
m-917	8	53	the	the	DET
m-917	8	54	same	same	ADJ
m-917	8	55	.	.	PUNCT
m-917	9	1	the	the	DET
m-917	9	2	study	study	NOUN
m-917	9	3	also	also	ADV
m-917	9	4	concluded	conclude	VERB
m-917	9	5	that	that	SCONJ
m-917	9	6	the	the	DET
m-917	9	7	xvariates	xvariate	NOUN
m-917	9	8	of	of	ADP
m-917	9	9	the	the	DET
m-917	9	10	cca	cca	NOUN
m-917	9	11	and	and	CCONJ
m-917	9	12	rda	rda	NOUN
m-917	9	13	did	do	AUX
m-917	9	14	not	not	PART
m-917	9	15	differ	differ	VERB
m-917	9	16	.	.	PUNCT
m-917	10	1	keywords	keyword	NOUN
m-917	10	2	:	:	PUNCT
m-917	10	3	canonical	canonical	ADJ
m-917	10	4	correlation	correlation	NOUN
m-917	10	5	analysis	analysis	NOUN
m-917	10	6	,	,	PUNCT
m-917	10	7	redundancy	redundancy	NOUN
m-917	10	8	analysis	analysis	NOUN
m-917	10	9	,	,	PUNCT
m-917	10	10	gaussian	gaussian	NOUN
m-917	10	11	,	,	PUNCT
m-917	10	12	gamma	gamma	NOUN
m-917	10	13	,	,	PUNCT
m-917	10	14	exponential	exponential	NOUN
m-917	10	15	,	,	PUNCT
m-917	10	16	beta	beta	NOUN
m-917	10	17	,	,	PUNCT
m-917	10	18	performance	performance	NOUN
m-917	10	19	evaluation	evaluation	NOUN
m-917	10	20	,	,	PUNCT
m-917	10	21	simulated	simulate	VERB
m-917	10	22	data	datum	NOUN
m-917	10	23	.	.	PUNCT
m-917	11	1	1	1	NUM
m-917	11	2	introduction	introduction	NOUN
m-917	11	3	canonical	canonical	ADJ
m-917	11	4	correlation	correlation	NOUN
m-917	11	5	analysis	analysis	NOUN
m-917	11	6	(	(	PUNCT
m-917	11	7	cca	cca	NOUN
m-917	11	8	)	)	PUNCT
m-917	11	9	and	and	CCONJ
m-917	11	10	redundancy	redundancy	NOUN
m-917	11	11	analysis	analysis	NOUN
m-917	11	12	(	(	PUNCT
m-917	11	13	rda	rda	NOUN
m-917	11	14	)	)	PUNCT
m-917	11	15	are	be	AUX
m-917	11	16	multivariate	multivariate	ADJ
m-917	11	17	statistical	statistical	ADJ
m-917	11	18	techniques	technique	NOUN
m-917	11	19	used	use	VERB
m-917	11	20	to	to	PART
m-917	11	21	analyze	analyze	VERB
m-917	11	22	the	the	DET
m-917	11	23	relationships	relationship	NOUN
m-917	11	24	between	between	ADP
m-917	11	25	two	two	NUM
m-917	11	26	or	or	CCONJ
m-917	11	27	more	more	ADJ
m-917	11	28	sets	set	NOUN
m-917	11	29	of	of	ADP
m-917	11	30	variables.cca	variables.cca	X
m-917	11	31	is	be	AUX
m-917	11	32	a	a	DET
m-917	11	33	method	method	NOUN
m-917	11	34	for	for	ADP
m-917	11	35	analyzing	analyze	VERB
m-917	11	36	the	the	DET
m-917	11	37	relationships	relationship	NOUN
m-917	11	38	between	between	ADP
m-917	11	39	two	two	NUM
m-917	11	40	sets	set	NOUN
m-917	11	41	of	of	ADP
m-917	11	42	variables	variable	NOUN
m-917	11	43	,	,	PUNCT
m-917	11	44	x	x	PUNCT
m-917	11	45	and	and	CCONJ
m-917	11	46	y	y	PROPN
m-917	11	47	,	,	PUNCT
m-917	11	48	by	by	ADP
m-917	11	49	finding	find	VERB
m-917	11	50	the	the	DET
m-917	11	51	linear	linear	ADJ
m-917	11	52	combinations	combination	NOUN
m-917	11	53	of	of	ADP
m-917	11	54	variables	variable	NOUN
m-917	11	55	that	that	PRON
m-917	11	56	maximize	maximize	VERB
m-917	11	57	the	the	DET
m-917	11	58	correlation	correlation	NOUN
m-917	11	59	between	between	ADP
m-917	11	60	the	the	DET
m-917	11	61	two	two	NUM
m-917	11	62	sets	set	NOUN
m-917	11	63	,	,	PUNCT
m-917	11	64	which	which	PRON
m-917	11	65	was	be	AUX
m-917	11	66	developed	develop	VERB
m-917	11	67	by	by	ADP
m-917	11	68	hotelling	hotelle	VERB
m-917	11	69	in	in	ADP
m-917	11	70	1936	1936	NUM
m-917	11	71	(	(	PUNCT
m-917	11	72	górecki	górecki	PROPN
m-917	11	73	et	et	PROPN
m-917	11	74	al	al	PROPN
m-917	11	75	,	,	PUNCT
m-917	11	76	2020	2020	NUM
m-917	11	77	)	)	PUNCT
m-917	11	78	.	.	PUNCT
m-917	12	1	canonical	canonical	ADJ
m-917	12	2	correlation	correlation	NOUN
m-917	12	3	analysis	analysis	NOUN
m-917	12	4	(	(	PUNCT
m-917	12	5	cca	cca	NOUN
m-917	12	6	)	)	PUNCT
m-917	12	7	involves	involve	VERB
m-917	12	8	finding	find	VERB
m-917	12	9	a	a	DET
m-917	12	10	linear	linear	ADJ
m-917	12	11	transformation	transformation	NOUN
m-917	12	12	that	that	PRON
m-917	12	13	converts	convert	VERB
m-917	12	14	the	the	DET
m-917	12	15	original	original	ADJ
m-917	12	16	variables	variable	NOUN
m-917	12	17	from	from	ADP
m-917	12	18	ijo	ijo	PROPN
m-917	12	19	journals	journal	NOUN
m-917	12	20	volume	volume	NOUN
m-917	12	21	07	07	NUM
m-917	13	1	|	|	NOUN
m-917	13	2	issue	issue	NOUN
m-917	13	3	08	08	NUM
m-917	14	1	|	|	CCONJ
m-917	14	2	august	august	PROPN
m-917	14	3	2024	2024	NUM
m-917	14	4	|	|	ADV
m-917	14	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	14	6	1	1	NUM
m-917	14	7	ijo	ijo	PROPN
m-917	14	8	international	international	ADJ
m-917	14	9	journal	journal	PROPN
m-917	14	10	of	of	ADP
m-917	14	11	mathematics	mathematics	PROPN
m-917	14	12	(	(	PUNCT
m-917	14	13	issn	issn	PROPN
m-917	14	14	:	:	PUNCT
m-917	14	15	2992	2992	NUM
m-917	14	16	-	-	SYM
m-917	14	17	4421	4421	NUM
m-917	14	18	)	)	PUNCT
m-917	14	19	osuagwu	osuagwu	ADV
m-917	14	20	,	,	PUNCT
m-917	14	21	chidimma	chidimma	PROPN
m-917	14	22	udo	udo	PROPN
m-917	14	23	.	.	PROPN
m-917	14	24	*	*	PROPN
m-917	15	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	15	2	volume	volume	NOUN
m-917	15	3	07	07	NUM
m-917	15	4	||	||	NOUN
m-917	15	5	issue	issue	NOUN
m-917	15	6	08	08	NUM
m-917	15	7	||	||	NOUN
m-917	15	8	august	august	PROPN
m-917	15	9	,	,	PUNCT
m-917	15	10	2024	2024	NUM
m-917	15	11	||	||	NOUN
m-917	15	12	performance	performance	NOUN
m-917	15	13	evaluation	evaluation	NOUN
m-917	15	14	of	of	ADP
m-917	15	15	canonical	canonical	ADJ
m-917	15	16	correlation	correlation	NOUN
m-917	15	17	analysis	analysis	NOUN
m-917	15	18	and	and	CCONJ
m-917	15	19	redundancy	redundancy	NOUN
m-917	15	20	analysisusing	analysisuse	VERB
m-917	15	21	gaussian	gaussian	NOUN
m-917	15	22	,	,	PUNCT
m-917	15	23	gamma	gamma	NOUN
m-917	15	24	,	,	PUNCT
m-917	15	25	exponential	exponential	NOUN
m-917	15	26	and	and	CCONJ
m-917	15	27	beta	beta	NOUN
m-917	15	28	distributed	distribute	VERB
m-917	15	29	data	datum	NOUN
m-917	15	30	two	two	NUM
m-917	15	31	sets	set	NOUN
m-917	15	32	into	into	ADP
m-917	15	33	new	new	ADJ
m-917	15	34	sets	set	NOUN
m-917	15	35	of	of	ADP
m-917	15	36	variables	variable	NOUN
m-917	15	37	(	(	PUNCT
m-917	15	38	wang	wang	PROPN
m-917	15	39	et	et	PROPN
m-917	15	40	al	al	PROPN
m-917	15	41	.	.	PROPN
m-917	15	42	,	,	PUNCT
m-917	15	43	2022	2022	NUM
m-917	15	44	)	)	PUNCT
m-917	15	45	.	.	PUNCT
m-917	16	1	these	these	DET
m-917	16	2	new	new	ADJ
m-917	16	3	variables	variable	NOUN
m-917	16	4	have	have	VERB
m-917	16	5	the	the	DET
m-917	16	6	property	property	NOUN
m-917	16	7	of	of	ADP
m-917	16	8	being	be	AUX
m-917	16	9	uncorrelated	uncorrelate	VERB
m-917	16	10	within	within	ADP
m-917	16	11	each	each	DET
m-917	16	12	set	set	NOUN
m-917	16	13	,	,	PUNCT
m-917	16	14	but	but	CCONJ
m-917	16	15	maximally	maximally	ADV
m-917	16	16	correlated	correlate	VERB
m-917	16	17	between	between	ADP
m-917	16	18	sets	set	NOUN
m-917	16	19	.	.	PUNCT
m-917	17	1	the	the	DET
m-917	17	2	resulting	result	VERB
m-917	17	3	pairs	pair	NOUN
m-917	17	4	of	of	ADP
m-917	17	5	new	new	ADJ
m-917	17	6	variables	variable	NOUN
m-917	17	7	are	be	AUX
m-917	17	8	called	call	VERB
m-917	17	9	canonical	canonical	ADJ
m-917	17	10	variates	variate	NOUN
m-917	17	11	,	,	PUNCT
m-917	17	12	and	and	CCONJ
m-917	17	13	the	the	DET
m-917	17	14	correlation	correlation	NOUN
m-917	17	15	coefficients	coefficient	VERB
m-917	17	16	between	between	ADP
m-917	17	17	these	these	DET
m-917	17	18	pairs	pair	NOUN
m-917	17	19	are	be	AUX
m-917	17	20	known	know	VERB
m-917	17	21	as	as	ADP
m-917	17	22	canonical	canonical	ADJ
m-917	17	23	correlations	correlation	NOUN
m-917	17	24	.	.	PUNCT
m-917	18	1	by	by	ADP
m-917	18	2	identifying	identify	VERB
m-917	18	3	these	these	DET
m-917	18	4	canonical	canonical	ADJ
m-917	18	5	variates	variate	NOUN
m-917	18	6	and	and	CCONJ
m-917	18	7	correlations	correlation	NOUN
m-917	18	8	,	,	PUNCT
m-917	18	9	cca	cca	PROPN
m-917	18	10	reveals	reveal	VERB
m-917	18	11	the	the	DET
m-917	18	12	underlying	underlie	VERB
m-917	18	13	relationships	relationship	NOUN
m-917	18	14	between	between	ADP
m-917	18	15	the	the	DET
m-917	18	16	two	two	NUM
m-917	18	17	sets	set	NOUN
m-917	18	18	of	of	ADP
m-917	18	19	variables	variable	NOUN
m-917	18	20	(	(	PUNCT
m-917	18	21	li	li	PROPN
m-917	18	22	et	et	PROPN
m-917	18	23	al	al	PROPN
m-917	18	24	.	.	PROPN
m-917	18	25	,	,	PUNCT
m-917	18	26	2020	2020	NUM
m-917	18	27	)	)	PUNCT
m-917	18	28	.	.	PUNCT
m-917	19	1	rda	rda	NOUN
m-917	19	2	is	be	AUX
m-917	19	3	a	a	DET
m-917	19	4	statistical	statistical	ADJ
m-917	19	5	method	method	NOUN
m-917	19	6	that	that	PRON
m-917	19	7	summarizes	summarize	VERB
m-917	19	8	the	the	DET
m-917	19	9	linear	linear	ADJ
m-917	19	10	relationships	relationship	NOUN
m-917	19	11	between	between	ADP
m-917	19	12	two	two	NUM
m-917	19	13	sets	set	NOUN
m-917	19	14	of	of	ADP
m-917	19	15	variables	variable	NOUN
m-917	19	16	,	,	PUNCT
m-917	19	17	one	one	NUM
m-917	19	18	set	set	NOUN
m-917	19	19	being	be	AUX
m-917	19	20	the	the	DET
m-917	19	21	explanatory	explanatory	ADJ
m-917	19	22	variables	variable	NOUN
m-917	19	23	and	and	CCONJ
m-917	19	24	the	the	DET
m-917	19	25	other	other	ADJ
m-917	19	26	being	be	AUX
m-917	19	27	the	the	DET
m-917	19	28	response	response	NOUN
m-917	19	29	variables	variable	NOUN
m-917	19	30	(	(	PUNCT
m-917	19	31	ramette	ramette	NOUN
m-917	19	32	,	,	PUNCT
m-917	19	33	2017	2017	NUM
m-917	19	34	)	)	PUNCT
m-917	19	35	.	.	PUNCT
m-917	20	1	it	it	PRON
m-917	20	2	's	be	AUX
m-917	20	3	an	an	DET
m-917	20	4	extension	extension	NOUN
m-917	20	5	of	of	ADP
m-917	20	6	multiple	multiple	ADJ
m-917	20	7	linear	linear	ADJ
m-917	20	8	regression	regression	NOUN
m-917	20	9	;	;	PUNCT
m-917	20	10	allowing	allow	VERB
m-917	20	11	for	for	ADP
m-917	20	12	multiple	multiple	ADJ
m-917	20	13	response	response	NOUN
m-917	20	14	variables	variable	NOUN
m-917	20	15	to	to	PART
m-917	20	16	be	be	AUX
m-917	20	17	regressed	regress	VERB
m-917	20	18	on	on	ADP
m-917	20	19	multiple	multiple	ADJ
m-917	20	20	explanatory	explanatory	ADJ
m-917	20	21	variables	variable	NOUN
m-917	20	22	.	.	PUNCT
m-917	21	1	rda	rda	NOUN
m-917	21	2	produces	produce	VERB
m-917	21	3	an	an	DET
m-917	21	4	ordination	ordination	NOUN
m-917	21	5	that	that	PRON
m-917	21	6	summarizes	summarize	VERB
m-917	21	7	the	the	DET
m-917	21	8	main	main	ADJ
m-917	21	9	patterns	pattern	NOUN
m-917	21	10	of	of	ADP
m-917	21	11	variation	variation	NOUN
m-917	21	12	in	in	ADP
m-917	21	13	the	the	DET
m-917	21	14	response	response	NOUN
m-917	21	15	matrix	matrix	NOUN
m-917	21	16	,	,	PUNCT
m-917	21	17	which	which	PRON
m-917	21	18	can	can	AUX
m-917	21	19	be	be	AUX
m-917	21	20	explained	explain	VERB
m-917	21	21	by	by	ADP
m-917	21	22	a	a	DET
m-917	21	23	matrix	matrix	NOUN
m-917	21	24	of	of	ADP
m-917	21	25	explanatory	explanatory	ADJ
m-917	21	26	variables	variable	NOUN
m-917	21	27	(	(	PUNCT
m-917	21	28	hui&warton	hui&warton	PROPN
m-917	21	29	,	,	PUNCT
m-917	21	30	2022	2022	NUM
m-917	21	31	)	)	PUNCT
m-917	21	32	.	.	PUNCT
m-917	22	1	the	the	DET
m-917	22	2	results	result	NOUN
m-917	22	3	of	of	ADP
m-917	22	4	rda	rda	NOUN
m-917	22	5	include	include	VERB
m-917	22	6	the	the	DET
m-917	22	7	total	total	ADJ
m-917	22	8	variance	variance	NOUN
m-917	22	9	of	of	ADP
m-917	22	10	the	the	DET
m-917	22	11	data	datum	NOUN
m-917	22	12	set	set	VERB
m-917	22	13	,	,	PUNCT
m-917	22	14	partitioned	partition	VERB
m-917	22	15	into	into	ADP
m-917	22	16	constrained	constrain	VERB
m-917	22	17	and	and	CCONJ
m-917	22	18	unconstrained	unconstrained	ADJ
m-917	22	19	variances	variance	NOUN
m-917	22	20	,	,	PUNCT
m-917	22	21	which	which	PRON
m-917	22	22	shows	show	VERB
m-917	22	23	how	how	SCONJ
m-917	22	24	much	much	ADJ
m-917	22	25	variation	variation	NOUN
m-917	22	26	in	in	ADP
m-917	22	27	the	the	DET
m-917	22	28	response	response	NOUN
m-917	22	29	variables	variable	NOUN
m-917	22	30	was	be	AUX
m-917	22	31	redundant	redundant	ADJ
m-917	22	32	with	with	ADP
m-917	22	33	the	the	DET
m-917	22	34	variation	variation	NOUN
m-917	22	35	in	in	ADP
m-917	22	36	the	the	DET
m-917	22	37	explanatory	explanatory	ADJ
m-917	22	38	variables	variable	NOUN
m-917	22	39	(	(	PUNCT
m-917	22	40	székely	székely	ADV
m-917	22	41	et	et	PROPN
m-917	22	42	al	al	PROPN
m-917	22	43	.	.	PROPN
m-917	22	44	,	,	PUNCT
m-917	22	45	2020	2020	NUM
m-917	22	46	)	)	PUNCT
m-917	22	47	.	.	PUNCT
m-917	23	1	rda	rda	NOUN
m-917	23	2	also	also	ADV
m-917	23	3	produces	produce	VERB
m-917	23	4	scores	score	NOUN
m-917	23	5	for	for	ADP
m-917	23	6	objects	object	NOUN
m-917	23	7	,	,	PUNCT
m-917	23	8	response	response	NOUN
m-917	23	9	variables	variable	NOUN
m-917	23	10	,	,	PUNCT
m-917	23	11	and	and	CCONJ
m-917	23	12	explanatory	explanatory	ADJ
m-917	23	13	variables	variable	NOUN
m-917	23	14	,	,	PUNCT
m-917	23	15	which	which	PRON
m-917	23	16	can	can	AUX
m-917	23	17	be	be	AUX
m-917	23	18	used	use	VERB
m-917	23	19	to	to	PART
m-917	23	20	ordinate	ordinate	VERB
m-917	23	21	points	point	NOUN
m-917	23	22	and	and	CCONJ
m-917	23	23	vectors	vector	NOUN
m-917	23	24	.	.	PUNCT
m-917	24	1	rda	rda	NOUN
m-917	24	2	is	be	AUX
m-917	24	3	often	often	ADV
m-917	24	4	used	use	VERB
m-917	24	5	in	in	ADP
m-917	24	6	ecological	ecological	ADJ
m-917	24	7	studies	study	NOUN
m-917	24	8	to	to	PART
m-917	24	9	relate	relate	VERB
m-917	24	10	environmental	environmental	ADJ
m-917	24	11	variables	variable	NOUN
m-917	24	12	to	to	ADP
m-917	24	13	species	specie	NOUN
m-917	24	14	composition	composition	NOUN
m-917	24	15	.	.	PUNCT
m-917	25	1	for	for	ADP
m-917	25	2	example	example	NOUN
m-917	25	3	,	,	PUNCT
m-917	25	4	ramette	ramette	NOUN
m-917	25	5	(	(	PUNCT
m-917	25	6	2007	2007	NUM
m-917	25	7	)	)	PUNCT
m-917	25	8	used	use	VERB
m-917	25	9	rda	rda	NOUN
m-917	25	10	to	to	PART
m-917	25	11	analyze	analyze	VERB
m-917	25	12	the	the	DET
m-917	25	13	relationships	relationship	NOUN
m-917	25	14	between	between	ADP
m-917	25	15	microbial	microbial	ADJ
m-917	25	16	community	community	NOUN
m-917	25	17	composition	composition	NOUN
m-917	25	18	and	and	CCONJ
m-917	25	19	environmental	environmental	ADJ
m-917	25	20	variables	variable	NOUN
m-917	25	21	in	in	ADP
m-917	25	22	coastal	coastal	ADJ
m-917	25	23	sands	sand	NOUN
m-917	25	24	this	this	DET
m-917	25	25	study	study	NOUN
m-917	25	26	therefore	therefore	ADV
m-917	25	27	was	be	AUX
m-917	25	28	aimed	aim	VERB
m-917	25	29	to	to	PART
m-917	25	30	:	:	PUNCT
m-917	25	31	ascertain	ascertain	VERB
m-917	25	32	the	the	DET
m-917	25	33	relative	relative	ADJ
m-917	25	34	efficiency	efficiency	NOUN
m-917	25	35	of	of	ADP
m-917	25	36	cca	cca	NOUN
m-917	25	37	and	and	CCONJ
m-917	25	38	rda	rda	NOUN
m-917	25	39	techniques	technique	NOUN
m-917	25	40	for	for	ADP
m-917	25	41	four	four	NUM
m-917	25	42	continuous	continuous	ADJ
m-917	25	43	distributed	distribute	VERB
m-917	25	44	simulated	simulate	VERB
m-917	25	45	data	datum	NOUN
m-917	25	46	;	;	PUNCT
m-917	25	47	and	and	CCONJ
m-917	25	48	determine	determine	VERB
m-917	25	49	the	the	DET
m-917	25	50	model	model	NOUN
m-917	25	51	performance	performance	NOUN
m-917	25	52	adequacy	adequacy	NOUN
m-917	25	53	of	of	ADP
m-917	25	54	cca	cca	NOUN
m-917	25	55	and	and	CCONJ
m-917	25	56	rda	rda	NOUN
m-917	25	57	techniques	technique	NOUN
m-917	25	58	.	.	PUNCT
m-917	26	1	2	2	NUM
m-917	26	2	review	review	NOUN
m-917	26	3	of	of	ADP
m-917	26	4	related	related	ADJ
m-917	26	5	literature	literature	NOUN
m-917	26	6	makino	makino	NOUN
m-917	26	7	(	(	PUNCT
m-917	26	8	2022	2022	NUM
m-917	26	9	)	)	PUNCT
m-917	26	10	explored	explore	VERB
m-917	26	11	the	the	DET
m-917	26	12	application	application	NOUN
m-917	26	13	of	of	ADP
m-917	26	14	rotation	rotation	NOUN
m-917	26	15	in	in	ADP
m-917	26	16	correspondence	correspondence	NOUN
m-917	26	17	analysis	analysis	NOUN
m-917	26	18	(	(	PUNCT
m-917	26	19	ca	ca	NOUN
m-917	26	20	)	)	PUNCT
m-917	26	21	from	from	ADP
m-917	26	22	a	a	DET
m-917	26	23	canonical	canonical	ADJ
m-917	26	24	correlation	correlation	NOUN
m-917	26	25	perspective	perspective	NOUN
m-917	26	26	.	.	PUNCT
m-917	27	1	ca	can	AUX
m-917	27	2	is	be	AUX
m-917	27	3	a	a	DET
m-917	27	4	statistical	statistical	ADJ
m-917	27	5	method	method	NOUN
m-917	27	6	used	use	VERB
m-917	27	7	to	to	PART
m-917	27	8	visualize	visualize	VERB
m-917	27	9	the	the	DET
m-917	27	10	relationship	relationship	NOUN
m-917	27	11	between	between	ADP
m-917	27	12	two	two	NUM
m-917	27	13	categorical	categorical	ADJ
m-917	27	14	variables	variable	NOUN
m-917	27	15	,	,	PUNCT
m-917	27	16	typically	typically	ADV
m-917	27	17	emphasizing	emphasize	VERB
m-917	27	18	graphical	graphical	ADJ
m-917	27	19	representations	representation	NOUN
m-917	27	20	.	.	PUNCT
m-917	28	1	makino	makino	PROPN
m-917	28	2	's	's	PART
m-917	28	3	study	study	NOUN
m-917	28	4	introduced	introduce	VERB
m-917	28	5	a	a	DET
m-917	28	6	ca	ca	NOUN
m-917	28	7	formulation	formulation	NOUN
m-917	28	8	based	base	VERB
m-917	28	9	on	on	ADP
m-917	28	10	canonical	canonical	ADJ
m-917	28	11	correlation	correlation	NOUN
m-917	28	12	analysis	analysis	NOUN
m-917	28	13	(	(	PUNCT
m-917	28	14	cca	cca	NOUN
m-917	28	15	)	)	PUNCT
m-917	28	16	,	,	PUNCT
m-917	28	17	where	where	SCONJ
m-917	28	18	correlations	correlation	NOUN
m-917	28	19	within	within	ADP
m-917	28	20	and	and	CCONJ
m-917	28	21	between	between	ADP
m-917	28	22	row	row	NOUN
m-917	28	23	/	/	SYM
m-917	28	24	column	column	NOUN
m-917	28	25	categories	category	NOUN
m-917	28	26	in	in	ADP
m-917	28	27	a	a	DET
m-917	28	28	reduced	reduced	ADJ
m-917	28	29	dimensional	dimensional	ADJ
m-917	28	30	space	space	NOUN
m-917	28	31	can	can	AUX
m-917	28	32	be	be	AUX
m-917	28	33	expressed	express	VERB
m-917	28	34	through	through	ADP
m-917	28	35	canonical	canonical	ADJ
m-917	28	36	variables	variable	NOUN
m-917	28	37	.	.	PUNCT
m-917	29	1	however	however	ADV
m-917	29	2	,	,	PUNCT
m-917	29	3	existing	exist	VERB
m-917	29	4	cca	cca	NOUN
m-917	29	5	-	-	PUNCT
m-917	29	6	based	base	VERB
m-917	29	7	formulations	formulation	NOUN
m-917	29	8	only	only	ADV
m-917	29	9	allowed	allow	VERB
m-917	29	10	for	for	ADP
m-917	29	11	orthogonal	orthogonal	ADJ
m-917	29	12	rotation	rotation	NOUN
m-917	29	13	.	.	PUNCT
m-917	30	1	makino	makino	PROPN
m-917	30	2	proposed	propose	VERB
m-917	30	3	an	an	DET
m-917	30	4	alternative	alternative	ADJ
m-917	30	5	cca	cca	VERB
m-917	30	6	-	-	PUNCT
m-917	30	7	based	base	VERB
m-917	30	8	formulation	formulation	NOUN
m-917	30	9	that	that	PRON
m-917	30	10	permits	permit	VERB
m-917	30	11	oblique	oblique	ADJ
m-917	30	12	rotation	rotation	NOUN
m-917	30	13	,	,	PUNCT
m-917	30	14	defining	define	VERB
m-917	30	15	the	the	DET
m-917	30	16	ca	ca	NOUN
m-917	30	17	loss	loss	NOUN
m-917	30	18	function	function	NOUN
m-917	30	19	as	as	ADP
m-917	30	20	maximizing	maximize	VERB
m-917	30	21	the	the	DET
m-917	30	22	generalized	generalized	ADJ
m-917	30	23	coefficient	coefficient	NOUN
m-917	30	24	of	of	ADP
m-917	30	25	determination	determination	NOUN
m-917	30	26	,	,	PUNCT
m-917	30	27	which	which	PRON
m-917	30	28	measures	measure	VERB
m-917	30	29	the	the	DET
m-917	30	30	proximity	proximity	NOUN
m-917	30	31	between	between	ADP
m-917	30	32	two	two	NUM
m-917	30	33	variables	variable	NOUN
m-917	30	34	.	.	PUNCT
m-917	31	1	the	the	DET
m-917	31	2	study	study	NOUN
m-917	31	3	demonstrated	demonstrate	VERB
m-917	31	4	the	the	DET
m-917	31	5	benefits	benefit	NOUN
m-917	31	6	of	of	ADP
m-917	31	7	the	the	DET
m-917	31	8	proposed	propose	VERB
m-917	31	9	formulation	formulation	NOUN
m-917	31	10	through	through	ADP
m-917	31	11	simulation	simulation	NOUN
m-917	31	12	studies	study	NOUN
m-917	31	13	and	and	CCONJ
m-917	31	14	real	real	ADJ
m-917	31	15	data	datum	NOUN
m-917	31	16	examples	example	NOUN
m-917	31	17	.	.	PUNCT
m-917	32	1	ijo	ijo	PROPN
m-917	32	2	journals	journal	NOUN
m-917	32	3	volume	volume	NOUN
m-917	32	4	07	07	NUM
m-917	32	5	|	|	NOUN
m-917	32	6	issue	issue	NOUN
m-917	32	7	08	08	NUM
m-917	33	1	|	|	CCONJ
m-917	33	2	august	august	PROPN
m-917	33	3	2024	2024	NUM
m-917	33	4	|	|	ADV
m-917	33	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	33	6	2	2	NUM
m-917	33	7	ijo	ijo	PROPN
m-917	33	8	international	international	ADJ
m-917	33	9	journal	journal	PROPN
m-917	33	10	of	of	ADP
m-917	33	11	mathematics	mathematics	PROPN
m-917	33	12	(	(	PUNCT
m-917	33	13	issn	issn	PROPN
m-917	33	14	:	:	PUNCT
m-917	33	15	2992	2992	NUM
m-917	33	16	-	-	SYM
m-917	33	17	4421	4421	NUM
m-917	33	18	)	)	PUNCT
m-917	33	19	osuagwu	osuagwu	ADV
m-917	33	20	,	,	PUNCT
m-917	33	21	chidimma	chidimma	PROPN
m-917	33	22	udo	udo	PROPN
m-917	33	23	.	.	PROPN
m-917	33	24	*	*	PROPN
m-917	34	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	34	2	volume	volume	NOUN
m-917	34	3	07	07	NUM
m-917	34	4	||	||	NOUN
m-917	34	5	issue	issue	NOUN
m-917	34	6	08	08	NUM
m-917	34	7	||	||	NOUN
m-917	34	8	august	august	PROPN
m-917	34	9	,	,	PUNCT
m-917	34	10	2024	2024	NUM
m-917	34	11	||	||	NOUN
m-917	34	12	performance	performance	NOUN
m-917	34	13	evaluation	evaluation	NOUN
m-917	34	14	of	of	ADP
m-917	34	15	canonical	canonical	ADJ
m-917	34	16	correlation	correlation	NOUN
m-917	34	17	analysis	analysis	NOUN
m-917	34	18	and	and	CCONJ
m-917	34	19	redundancy	redundancy	NOUN
m-917	34	20	analysisusing	analysisuse	VERB
m-917	34	21	gaussian	gaussian	NOUN
m-917	34	22	,	,	PUNCT
m-917	34	23	gamma	gamma	NOUN
m-917	34	24	,	,	PUNCT
m-917	34	25	exponential	exponential	NOUN
m-917	34	26	and	and	CCONJ
m-917	34	27	beta	beta	NOUN
m-917	34	28	distributed	distribute	VERB
m-917	34	29	data	datum	NOUN
m-917	34	30	nayir	nayir	NOUN
m-917	34	31	and	and	CCONJ
m-917	34	32	saridas	sarida	NOUN
m-917	34	33	(	(	PUNCT
m-917	34	34	2022	2022	NUM
m-917	34	35	)	)	PUNCT
m-917	34	36	investigated	investigate	VERB
m-917	34	37	the	the	DET
m-917	34	38	relationship	relationship	NOUN
m-917	34	39	between	between	ADP
m-917	34	40	culturally	culturally	ADV
m-917	34	41	responsive	responsive	ADJ
m-917	34	42	teacher	teacher	NOUN
m-917	34	43	roles	role	NOUN
m-917	34	44	and	and	CCONJ
m-917	34	45	innovative	innovative	ADJ
m-917	34	46	work	work	NOUN
m-917	34	47	behavior	behavior	NOUN
m-917	34	48	using	use	VERB
m-917	34	49	canonical	canonical	ADJ
m-917	34	50	correlation	correlation	NOUN
m-917	34	51	analysis	analysis	NOUN
m-917	34	52	.	.	PUNCT
m-917	35	1	the	the	DET
m-917	35	2	study	study	NOUN
m-917	35	3	aimed	aim	VERB
m-917	35	4	to	to	PART
m-917	35	5	identify	identify	VERB
m-917	35	6	the	the	DET
m-917	35	7	relationship	relationship	NOUN
m-917	35	8	between	between	ADP
m-917	35	9	these	these	DET
m-917	35	10	two	two	NUM
m-917	35	11	constructs	construct	NOUN
m-917	35	12	based	base	VERB
m-917	35	13	on	on	ADP
m-917	35	14	teachers	teacher	NOUN
m-917	35	15	'	'	PART
m-917	35	16	views	view	NOUN
m-917	35	17	.	.	PUNCT
m-917	36	1	the	the	DET
m-917	36	2	results	result	NOUN
m-917	36	3	showed	show	VERB
m-917	36	4	that	that	SCONJ
m-917	36	5	the	the	DET
m-917	36	6	first	first	ADJ
m-917	36	7	canonical	canonical	ADJ
m-917	36	8	function	function	NOUN
m-917	36	9	,	,	PUNCT
m-917	36	10	which	which	PRON
m-917	36	11	maximized	maximize	VERB
m-917	36	12	the	the	DET
m-917	36	13	relationship	relationship	NOUN
m-917	36	14	between	between	ADP
m-917	36	15	the	the	DET
m-917	36	16	two	two	NUM
m-917	36	17	datasets	dataset	NOUN
m-917	36	18	,	,	PUNCT
m-917	36	19	shared	share	VERB
m-917	36	20	approximately	approximately	ADV
m-917	36	21	77	77	NUM
m-917	36	22	%	%	NOUN
m-917	36	23	variance	variance	NOUN
m-917	36	24	.	.	PUNCT
m-917	37	1	furthermore	furthermore	ADV
m-917	37	2	,	,	PUNCT
m-917	37	3	the	the	DET
m-917	37	4	analysis	analysis	NOUN
m-917	37	5	revealed	reveal	VERB
m-917	37	6	a	a	DET
m-917	37	7	positive	positive	ADJ
m-917	37	8	relationship	relationship	NOUN
m-917	37	9	between	between	ADP
m-917	37	10	the	the	DET
m-917	37	11	culturally	culturally	ADV
m-917	37	12	regulating	regulate	VERB
m-917	37	13	teacher	teacher	NOUN
m-917	37	14	(	(	PUNCT
m-917	37	15	crt	crt	ADJ
m-917	37	16	)	)	PUNCT
m-917	37	17	and	and	CCONJ
m-917	37	18	culturally	culturally	ADV
m-917	37	19	mediating	mediate	VERB
m-917	37	20	teacher	teacher	NOUN
m-917	37	21	(	(	PUNCT
m-917	37	22	cmt	cmt	PROPN
m-917	37	23	)	)	PUNCT
m-917	37	24	variables	variable	NOUN
m-917	37	25	in	in	ADP
m-917	37	26	the	the	DET
m-917	37	27	culturally	culturally	ADV
m-917	37	28	responsive	responsive	ADJ
m-917	37	29	teacher	teacher	NOUN
m-917	37	30	roles	role	NOUN
m-917	37	31	dataset	dataset	VERB
m-917	37	32	and	and	CCONJ
m-917	37	33	the	the	DET
m-917	37	34	gii	gii	NOUN
m-917	37	35	and	and	CCONJ
m-917	37	36	fsi	fsi	PROPN
m-917	37	37	variables	variable	NOUN
m-917	37	38	in	in	ADP
m-917	37	39	the	the	DET
m-917	37	40	innovative	innovative	ADJ
m-917	37	41	work	work	NOUN
m-917	37	42	behavior	behavior	NOUN
m-917	37	43	dataset	dataset	VERB
m-917	37	44	.	.	PUNCT
m-917	38	1	mckeague	mckeague	NOUN
m-917	38	2	and	and	CCONJ
m-917	38	3	zhang	zhang	PROPN
m-917	38	4	(	(	PUNCT
m-917	38	5	2021	2021	NUM
m-917	38	6	)	)	PUNCT
m-917	38	7	investigated	investigate	VERB
m-917	38	8	significance	significance	NOUN
m-917	38	9	testing	testing	NOUN
m-917	38	10	for	for	ADP
m-917	38	11	canonical	canonical	ADJ
m-917	38	12	correlation	correlation	NOUN
m-917	38	13	analysis	analysis	NOUN
m-917	38	14	in	in	ADP
m-917	38	15	high	high	ADJ
m-917	38	16	-	-	PUNCT
m-917	38	17	dimensional	dimensional	ADJ
m-917	38	18	settings	setting	NOUN
m-917	38	19	.	.	PUNCT
m-917	39	1	they	they	PRON
m-917	39	2	addressed	address	VERB
m-917	39	3	the	the	DET
m-917	39	4	challenge	challenge	NOUN
m-917	39	5	of	of	ADP
m-917	39	6	testing	testing	NOUN
m-917	39	7	for	for	ADP
m-917	39	8	linear	linear	ADJ
m-917	39	9	relationships	relationship	NOUN
m-917	39	10	between	between	ADP
m-917	39	11	large	large	ADJ
m-917	39	12	sets	set	NOUN
m-917	39	13	of	of	ADP
m-917	39	14	random	random	ADJ
m-917	39	15	variables	variable	NOUN
m-917	39	16	using	use	VERB
m-917	39	17	post	post	ADJ
m-917	39	18	-	-	ADJ
m-917	39	19	selection	selection	NOUN
m-917	39	20	inference	inference	NOUN
m-917	39	21	techniques	technique	NOUN
m-917	39	22	.	.	PUNCT
m-917	40	1	the	the	DET
m-917	40	2	authors	author	NOUN
m-917	40	3	developed	develop	VERB
m-917	40	4	a	a	DET
m-917	40	5	stabilized	stabilize	VERB
m-917	40	6	one	one	NUM
m-917	40	7	-	-	PUNCT
m-917	40	8	step	step	NOUN
m-917	40	9	estimator	estimator	NOUN
m-917	40	10	for	for	ADP
m-917	40	11	the	the	DET
m-917	40	12	euclidean	euclidean	ADJ
m-917	40	13	norm	norm	NOUN
m-917	40	14	of	of	ADP
m-917	40	15	canonical	canonical	ADJ
m-917	40	16	correlations	correlation	NOUN
m-917	40	17	,	,	PUNCT
m-917	40	18	which	which	PRON
m-917	40	19	was	be	AUX
m-917	40	20	shown	show	VERB
m-917	40	21	to	to	PART
m-917	40	22	be	be	AUX
m-917	40	23	consistent	consistent	ADJ
m-917	40	24	and	and	CCONJ
m-917	40	25	asymptotically	asymptotically	ADV
m-917	40	26	normal	normal	ADJ
m-917	40	27	under	under	ADP
m-917	40	28	certain	certain	ADJ
m-917	40	29	conditions	condition	NOUN
m-917	40	30	.	.	PUNCT
m-917	41	1	they	they	PRON
m-917	41	2	also	also	ADV
m-917	41	3	proposed	propose	VERB
m-917	41	4	a	a	DET
m-917	41	5	greedy	greedy	ADJ
m-917	41	6	search	search	NOUN
m-917	41	7	algorithm	algorithm	NOUN
m-917	41	8	for	for	ADP
m-917	41	9	computing	compute	VERB
m-917	41	10	the	the	DET
m-917	41	11	estimator	estimator	NOUN
m-917	41	12	,	,	PUNCT
m-917	41	13	leading	lead	VERB
m-917	41	14	to	to	ADP
m-917	41	15	a	a	DET
m-917	41	16	computationally	computationally	ADV
m-917	41	17	tractable	tractable	ADJ
m-917	41	18	omnibus	omnibus	NOUN
m-917	41	19	test	test	NOUN
m-917	41	20	for	for	ADP
m-917	41	21	the	the	DET
m-917	41	22	global	global	ADJ
m-917	41	23	null	null	ADJ
m-917	41	24	hypothesis	hypothesis	NOUN
m-917	41	25	.	.	PUNCT
m-917	42	1	additionally	additionally	ADV
m-917	42	2	,	,	PUNCT
m-917	42	3	they	they	PRON
m-917	42	4	constructed	construct	VERB
m-917	42	5	a	a	DET
m-917	42	6	confidence	confidence	NOUN
m-917	42	7	interval	interval	NOUN
m-917	42	8	that	that	PRON
m-917	42	9	accounted	account	VERB
m-917	42	10	for	for	ADP
m-917	42	11	variable	variable	ADJ
m-917	42	12	selection	selection	NOUN
m-917	42	13	.	.	PUNCT
m-917	43	1	garcía	garcía	ADJ
m-917	43	2	-	-	PUNCT
m-917	43	3	valdés	valdés	NOUN
m-917	43	4	et	et	PROPN
m-917	43	5	al	al	PROPN
m-917	43	6	.	.	PROPN
m-917	43	7	(	(	PUNCT
m-917	43	8	2020	2020	NUM
m-917	43	9	)	)	PUNCT
m-917	43	10	conducted	conduct	VERB
m-917	43	11	a	a	DET
m-917	43	12	study	study	NOUN
m-917	43	13	using	use	VERB
m-917	43	14	redundancy	redundancy	NOUN
m-917	43	15	analysis	analysis	NOUN
m-917	43	16	(	(	PUNCT
m-917	43	17	rda	rda	NOUN
m-917	43	18	)	)	PUNCT
m-917	43	19	to	to	PART
m-917	43	20	examine	examine	VERB
m-917	43	21	the	the	DET
m-917	43	22	impacts	impact	NOUN
m-917	43	23	of	of	ADP
m-917	43	24	climate	climate	NOUN
m-917	43	25	change	change	NOUN
m-917	43	26	on	on	ADP
m-917	43	27	species	specie	NOUN
m-917	43	28	distribution	distribution	NOUN
m-917	43	29	in	in	ADP
m-917	43	30	a	a	DET
m-917	43	31	mediterranean	mediterranean	PROPN
m-917	43	32	ecosystem	ecosystem	NOUN
m-917	43	33	,	,	PUNCT
m-917	43	34	incorporating	incorporate	VERB
m-917	43	35	155	155	NUM
m-917	43	36	plant	plant	NOUN
m-917	43	37	species	specie	NOUN
m-917	43	38	and	and	CCONJ
m-917	43	39	15	15	NUM
m-917	43	40	environmental	environmental	ADJ
m-917	43	41	variables	variable	NOUN
m-917	43	42	.	.	PUNCT
m-917	44	1	the	the	DET
m-917	44	2	analysis	analysis	NOUN
m-917	44	3	revealed	reveal	VERB
m-917	44	4	that	that	SCONJ
m-917	44	5	climate	climate	NOUN
m-917	44	6	variables	variable	NOUN
m-917	44	7	,	,	PUNCT
m-917	44	8	including	include	VERB
m-917	44	9	temperature	temperature	NOUN
m-917	44	10	,	,	PUNCT
m-917	44	11	precipitation	precipitation	NOUN
m-917	44	12	,	,	PUNCT
m-917	44	13	and	and	CCONJ
m-917	44	14	drought	drought	NOUN
m-917	44	15	,	,	PUNCT
m-917	44	16	explained	explain	VERB
m-917	44	17	a	a	DET
m-917	44	18	significant	significant	ADJ
m-917	44	19	portion	portion	NOUN
m-917	44	20	of	of	ADP
m-917	44	21	the	the	DET
m-917	44	22	variation	variation	NOUN
m-917	44	23	in	in	ADP
m-917	44	24	species	specie	NOUN
m-917	44	25	distribution	distribution	NOUN
m-917	44	26	,	,	PUNCT
m-917	44	27	accounting	account	VERB
m-917	44	28	for	for	ADP
m-917	44	29	24.5	24.5	NUM
m-917	44	30	%	%	NOUN
m-917	44	31	of	of	ADP
m-917	44	32	the	the	DET
m-917	44	33	variation	variation	NOUN
m-917	44	34	.	.	PUNCT
m-917	45	1	additionally	additionally	ADV
m-917	45	2	,	,	PUNCT
m-917	45	3	soil	soil	NOUN
m-917	45	4	and	and	CCONJ
m-917	45	5	topographic	topographic	ADJ
m-917	45	6	variables	variable	NOUN
m-917	45	7	played	play	VERB
m-917	45	8	important	important	ADJ
m-917	45	9	roles	role	NOUN
m-917	45	10	,	,	PUNCT
m-917	45	11	explaining	explain	VERB
m-917	45	12	20.1	20.1	NUM
m-917	45	13	%	%	NOUN
m-917	45	14	and	and	CCONJ
m-917	45	15	15.4	15.4	NUM
m-917	45	16	%	%	NOUN
m-917	45	17	of	of	ADP
m-917	45	18	the	the	DET
m-917	45	19	variation	variation	NOUN
m-917	45	20	,	,	PUNCT
m-917	45	21	respectively	respectively	ADV
m-917	45	22	.	.	PUNCT
m-917	46	1	the	the	DET
m-917	46	2	study	study	NOUN
m-917	46	3	's	's	PART
m-917	46	4	findings	finding	NOUN
m-917	46	5	suggested	suggest	VERB
m-917	46	6	that	that	SCONJ
m-917	46	7	climate	climate	NOUN
m-917	46	8	change	change	NOUN
m-917	46	9	led	lead	VERB
m-917	46	10	to	to	ADP
m-917	46	11	shifts	shift	NOUN
m-917	46	12	in	in	ADP
m-917	46	13	species	specie	NOUN
m-917	46	14	distribution	distribution	NOUN
m-917	46	15	,	,	PUNCT
m-917	46	16	resulting	result	VERB
m-917	46	17	in	in	ADP
m-917	46	18	some	some	DET
m-917	46	19	species	specie	NOUN
m-917	46	20	expanding	expand	VERB
m-917	46	21	their	their	PRON
m-917	46	22	ranges	range	NOUN
m-917	46	23	while	while	SCONJ
m-917	46	24	others	other	NOUN
m-917	46	25	contract	contract	VERB
m-917	46	26	.	.	PUNCT
m-917	47	1	the	the	DET
m-917	47	2	rda	rda	NOUN
m-917	47	3	framework	framework	NOUN
m-917	47	4	provided	provide	VERB
m-917	47	5	a	a	DET
m-917	47	6	powerful	powerful	ADJ
m-917	47	7	tool	tool	NOUN
m-917	47	8	for	for	ADP
m-917	47	9	understanding	understand	VERB
m-917	47	10	the	the	DET
m-917	47	11	complex	complex	ADJ
m-917	47	12	relationships	relationship	NOUN
m-917	47	13	between	between	ADP
m-917	47	14	climate	climate	NOUN
m-917	47	15	change	change	NOUN
m-917	47	16	and	and	CCONJ
m-917	47	17	species	specie	NOUN
m-917	47	18	distribution	distribution	NOUN
m-917	47	19	,	,	PUNCT
m-917	47	20	with	with	ADP
m-917	47	21	important	important	ADJ
m-917	47	22	implications	implication	NOUN
m-917	47	23	for	for	ADP
m-917	47	24	conservation	conservation	NOUN
m-917	47	25	and	and	CCONJ
m-917	47	26	management	management	NOUN
m-917	47	27	efforts	effort	NOUN
m-917	47	28	in	in	ADP
m-917	47	29	the	the	DET
m-917	47	30	face	face	NOUN
m-917	47	31	of	of	ADP
m-917	47	32	climate	climate	NOUN
m-917	47	33	change	change	NOUN
m-917	47	34	.	.	PUNCT
m-917	48	1	3	3	NUM
m-917	48	2	materials	material	NOUN
m-917	48	3	and	and	CCONJ
m-917	48	4	methods	method	NOUN
m-917	48	5	3.1	3.1	NUM
m-917	48	6	canonical	canonical	ADJ
m-917	48	7	variates	variate	NOUN
m-917	48	8	and	and	CCONJ
m-917	48	9	canonical	canonical	ADJ
m-917	48	10	correlations	correlation	NOUN
m-917	48	11	the	the	DET
m-917	48	12	canonical	canonical	ADJ
m-917	48	13	correlations	correlation	NOUN
m-917	48	14	measure	measure	VERB
m-917	48	15	the	the	DET
m-917	48	16	strength	strength	NOUN
m-917	48	17	of	of	ADP
m-917	48	18	association	association	NOUN
m-917	48	19	between	between	ADP
m-917	48	20	the	the	DET
m-917	48	21	two	two	NUM
m-917	48	22	sets	set	NOUN
m-917	48	23	of	of	ADP
m-917	48	24	variables	variable	NOUN
m-917	48	25	(	(	PUNCT
m-917	48	26	wang	wang	PROPN
m-917	48	27	&	&	CCONJ
m-917	48	28	liu	liu	PROPN
m-917	48	29	,	,	PUNCT
m-917	48	30	2022).the	2022).the	DET
m-917	48	31	first	first	ADJ
m-917	48	32	group	group	NOUN
m-917	48	33	of	of	ADP
m-917	48	34	p	p	PROPN
m-917	48	35	variables	variable	NOUN
m-917	48	36	is	be	AUX
m-917	48	37	represented	represent	VERB
m-917	48	38	by	by	ADP
m-917	48	39	the	the	DET
m-917	48	40	(	(	PUNCT
m-917	48	41	p	p	X
m-917	48	42			PROPN
m-917	48	43	1	1	NUM
m-917	48	44	)	)	PUNCT
m-917	48	45	random	random	ADJ
m-917	48	46	vector	vector	NOUN
m-917	48	47	x(1	x(1	PROPN
m-917	48	48	)	)	PUNCT
m-917	48	49	,	,	PUNCT
m-917	48	50	while	while	SCONJ
m-917	48	51	the	the	DET
m-917	48	52	second	second	ADJ
m-917	48	53	group	group	NOUN
m-917	48	54	of	of	ADP
m-917	48	55	q	q	PROPN
m-917	48	56	variables	variable	NOUN
m-917	48	57	is	be	AUX
m-917	48	58	represented	represent	VERB
m-917	48	59	by	by	ADP
m-917	48	60	the	the	DET
m-917	48	61	(	(	PUNCT
m-917	48	62	q	q	NOUN
m-917	48	63			PROPN
m-917	48	64	1	1	NUM
m-917	48	65	)	)	PUNCT
m-917	48	66	random	random	ADJ
m-917	48	67	vector	vector	NOUN
m-917	48	68	x(2	x(2	PROPN
m-917	48	69	)	)	PUNCT
m-917	48	70	.	.	PUNCT
m-917	49	1	it	it	PRON
m-917	49	2	will	will	AUX
m-917	49	3	be	be	AUX
m-917	49	4	assumed	assume	VERB
m-917	49	5	,	,	PUNCT
m-917	49	6	in	in	ADP
m-917	49	7	the	the	DET
m-917	49	8	theoretical	theoretical	ADJ
m-917	49	9	development	development	NOUN
m-917	49	10	,	,	PUNCT
m-917	49	11	that	that	SCONJ
m-917	49	12	x(1	x(1	PROPN
m-917	49	13	)	)	PUNCT
m-917	49	14	represents	represent	VERB
m-917	49	15	the	the	DET
m-917	49	16	smaller	small	ADJ
m-917	49	17	set	set	NOUN
m-917	49	18	,	,	PUNCT
m-917	49	19	so	so	SCONJ
m-917	49	20	that	that	SCONJ
m-917	49	21	p	p	PROPN
m-917	49	22			NUM
m-917	49	23	q.	q.	NOUN
m-917	49	24	for	for	ADP
m-917	49	25	the	the	DET
m-917	49	26	random	random	ADJ
m-917	49	27	vectors	vector	NOUN
m-917	49	28	x(1	x(1	PROPN
m-917	49	29	)	)	PUNCT
m-917	49	30	and	and	CCONJ
m-917	49	31	x(2	x(2	PROPN
m-917	49	32	)	)	PUNCT
m-917	49	33	,	,	PUNCT
m-917	49	34	let	let	VERB
m-917	49	35	ijo	ijo	PROPN
m-917	49	36	journals	journal	NOUN
m-917	49	37	volume	volume	NOUN
m-917	49	38	07	07	NUM
m-917	50	1	|	|	NOUN
m-917	50	2	issue	issue	NOUN
m-917	50	3	08	08	NUM
m-917	51	1	|	|	CCONJ
m-917	51	2	august	august	PROPN
m-917	51	3	2024	2024	NUM
m-917	52	1	|	|	ADV
m-917	52	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	52	3	3	3	NUM
m-917	52	4	ijo	ijo	PROPN
m-917	52	5	international	international	PROPN
m-917	52	6	journal	journal	PROPN
m-917	52	7	of	of	ADP
m-917	52	8	mathematics	mathematics	PROPN
m-917	52	9	(	(	PUNCT
m-917	52	10	issn	issn	PROPN
m-917	52	11	:	:	PUNCT
m-917	52	12	2992	2992	NUM
m-917	52	13	-	-	SYM
m-917	52	14	4421	4421	NUM
m-917	52	15	)	)	PUNCT
m-917	52	16	osuagwu	osuagwu	ADV
m-917	52	17	,	,	PUNCT
m-917	52	18	chidimma	chidimma	PROPN
m-917	52	19	udo	udo	PROPN
m-917	52	20	.	.	PROPN
m-917	52	21	*	*	PROPN
m-917	53	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	53	2	volume	volume	NOUN
m-917	53	3	07	07	NUM
m-917	53	4	||	||	NOUN
m-917	53	5	issue	issue	NOUN
m-917	53	6	08	08	NUM
m-917	53	7	||	||	NOUN
m-917	53	8	august	august	PROPN
m-917	53	9	,	,	PUNCT
m-917	53	10	2024	2024	NUM
m-917	53	11	||	||	NOUN
m-917	53	12	performance	performance	NOUN
m-917	53	13	evaluation	evaluation	NOUN
m-917	53	14	of	of	ADP
m-917	53	15	canonical	canonical	ADJ
m-917	53	16	correlation	correlation	NOUN
m-917	53	17	analysis	analysis	NOUN
m-917	53	18	and	and	CCONJ
m-917	53	19	redundancy	redundancy	NOUN
m-917	53	20	analysisusing	analysisuse	VERB
m-917	53	21	gaussian	gaussian	NOUN
m-917	53	22	,	,	PUNCT
m-917	53	23	gamma	gamma	NOUN
m-917	53	24	,	,	PUNCT
m-917	53	25	exponential	exponential	NOUN
m-917	53	26	and	and	CCONJ
m-917	53	27	beta	beta	NOUN
m-917	53	28	distributed	distribute	VERB
m-917	53	29	data	datum	NOUN
m-917	53	30			X
m-917	53	31			PROPN
m-917	53	32			NUM
m-917	53	33			PROPN
m-917	53	34			PROPN
m-917	53	35			PROPN
m-917	53	36			PROPN
m-917	53	37			ADJ
m-917	53	38	2211	2211	NUM
m-917	53	39	)	)	PUNCT
m-917	54	1	2()1	2()1	PROPN
m-917	54	2	(	(	PUNCT
m-917	54	3	22	22	NUM
m-917	54	4	)	)	PUNCT
m-917	54	5	2()2()2	2()2()2	NUM
m-917	54	6	(	(	PUNCT
m-917	54	7	11	11	NUM
m-917	54	8	)	)	PUNCT
m-917	54	9	1()1()1	1()1()1	NUM
m-917	54	10	(	(	PUNCT
m-917	54	11	)	)	PUNCT
m-917	54	12	,	,	PUNCT
m-917	54	13	(	(	PUNCT
m-917	54	14	)	)	PUNCT
m-917	54	15	(	(	PUNCT
m-917	54	16	;)	;)	NOUN
m-917	54	17	(	(	PUNCT
m-917	54	18	)	)	PUNCT
m-917	54	19	(	(	PUNCT
m-917	54	20	;)	;)	NOUN
m-917	54	21	(	(	PUNCT
m-917	54	22	xx	xx	NUM
m-917	54	23	xμx	xμx	PROPN
m-917	54	24	xμx	xμx	PROPN
m-917	54	25	cov	cov	PROPN
m-917	54	26	cove	cove	PROPN
m-917	54	27	cove	cove	PROPN
m-917	54	28	(	(	PUNCT
m-917	54	29	1	1	X
m-917	54	30	)	)	PUNCT
m-917	54	31	it	it	PRON
m-917	54	32	will	will	AUX
m-917	54	33	be	be	AUX
m-917	54	34	convenient	convenient	ADJ
m-917	54	35	to	to	PART
m-917	54	36	consider	consider	VERB
m-917	54	37	x(1	x(1	PROPN
m-917	54	38	)	)	PUNCT
m-917	54	39	and	and	CCONJ
m-917	54	40	x(2	x(2	NOUN
m-917	54	41	)	)	PUNCT
m-917	54	42	jointly	jointly	ADV
m-917	54	43	,	,	PUNCT
m-917	54	44	so	so	ADV
m-917	54	45	,	,	PUNCT
m-917	54	46	the	the	DET
m-917	54	47	random	random	ADJ
m-917	54	48	vector	vector	NOUN
m-917	54	49			NOUN
m-917	54	50			PROPN
m-917	55	1			PUNCT
m-917	56	1			PUNCT
m-917	57	1			PUNCT
m-917	58	1			PUNCT
m-917	59	1			PUNCT
m-917	60	1			PUNCT
m-917	61	1			NOUN
m-917	62	1			PUNCT
m-917	63	1			NOUN
m-917	63	2			PROPN
m-917	63	3			PROPN
m-917	63	4			X
m-917	63	5			NOUN
m-917	63	6			NOUN
m-917	63	7			NOUN
m-917	63	8			NOUN
m-917	63	9			NOUN
m-917	63	10			NOUN
m-917	63	11			NOUN
m-917	63	12			NOUN
m-917	63	13			NOUN
m-917	63	14			NOUN
m-917	63	15			NOUN
m-917	63	16			NOUN
m-917	63	17			VERB
m-917	63	18			PROPN
m-917	63	19			PROPN
m-917	63	20			PROPN
m-917	63	21			NOUN
m-917	63	22			NOUN
m-917	63	23			VERB
m-917	63	24			PROPN
m-917	64	1			NOUN
m-917	64	2			NUM
m-917	64	3	)	)	PUNCT
m-917	64	4	2	2	NUM
m-917	64	5	(	(	PUNCT
m-917	64	6	)	)	PUNCT
m-917	64	7	2	2	NUM
m-917	64	8	(	(	PUNCT
m-917	64	9	2	2	NUM
m-917	64	10	)	)	SYM
m-917	64	11	2	2	NUM
m-917	64	12	(	(	PUNCT
m-917	64	13	1	1	NUM
m-917	64	14	)	)	SYM
m-917	64	15	1	1	NUM
m-917	64	16	(	(	PUNCT
m-917	64	17	)	)	PUNCT
m-917	64	18	1	1	NUM
m-917	64	19	(	(	PUNCT
m-917	64	20	2	2	NUM
m-917	64	21	)	)	SYM
m-917	64	22	1	1	NUM
m-917	64	23	(	(	PUNCT
m-917	64	24	1	1	NUM
m-917	64	25	)	)	SYM
m-917	64	26	2	2	NUM
m-917	64	27	(	(	PUNCT
m-917	64	28	)	)	PUNCT
m-917	64	29	1	1	NUM
m-917	64	30	(	(	PUNCT
m-917	64	31	)	)	PUNCT
m-917	64	32	1	1	NUM
m-917	64	33	)	)	PUNCT
m-917	64	34	(	(	PUNCT
m-917	64	35	(	(	PUNCT
m-917	64	36	q	q	NOUN
m-917	64	37	p	p	NOUN
m-917	64	38	qp	qp	NOUN
m-917	64	39	x	x	PUNCT
m-917	64	40	x	x	PUNCT
m-917	64	41	x	x	PUNCT
m-917	64	42	x	x	SYM
m-917	64	43	x	x	PUNCT
m-917	64	44	x	x	VERB
m-917	64	45			ADJ
m-917	64	46			ADJ
m-917	64	47	x	x	X
m-917	64	48	x	x	SYM
m-917	64	49	x	x	X
m-917	64	50	(	(	PUNCT
m-917	64	51	2	2	NUM
m-917	64	52	)	)	PUNCT
m-917	64	53	has	have	AUX
m-917	64	54	mean	mean	VERB
m-917	64	55	vector	vector	NOUN
m-917	64	56			PROPN
m-917	64	57			PROPN
m-917	64	58			X
m-917	64	59			NOUN
m-917	64	60			VERB
m-917	64	61			PROPN
m-917	64	62			PROPN
m-917	64	63			PROPN
m-917	64	64			NOUN
m-917	64	65			NOUN
m-917	64	66			VERB
m-917	64	67			PROPN
m-917	64	68			NUM
m-917	64	69			NUM
m-917	64	70	)	)	PUNCT
m-917	64	71	2	2	NUM
m-917	64	72	(	(	PUNCT
m-917	64	73	)	)	PUNCT
m-917	64	74	1	1	NUM
m-917	64	75	(	(	PUNCT
m-917	64	76	)	)	PUNCT
m-917	64	77	2	2	NUM
m-917	64	78	(	(	PUNCT
m-917	64	79	)	)	PUNCT
m-917	64	80	1	1	NUM
m-917	64	81	(	(	PUNCT
m-917	64	82	)	)	PUNCT
m-917	64	83	1	1	NUM
m-917	64	84	)	)	PUNCT
m-917	64	85	(	(	PUNCT
m-917	64	86	(	(	PUNCT
m-917	64	87	)	)	PUNCT
m-917	64	88	(	(	PUNCT
m-917	64	89	)	)	PUNCT
m-917	64	90	(	(	PUNCT
m-917	64	91	)	)	PUNCT
m-917	64	92	(	(	PUNCT
m-917	64	93	μ	μ	PROPN
m-917	64	94	μ	μ	PROPN
m-917	64	95	x	x	X
m-917	64	96	x	x	SYM
m-917	64	97	xμ	xμ	NOUN
m-917	64	98	e	e	X
m-917	64	99	e	e	X
m-917	64	100	e	e	X
m-917	64	101	qp	qp	PROPN
m-917	64	102	(	(	PUNCT
m-917	64	103	3	3	NUM
m-917	64	104	)	)	PUNCT
m-917	64	105	and	and	CCONJ
m-917	64	106	covariance	covariance	NOUN
m-917	64	107	matrix	matrix	NOUN
m-917	64	108	)	)	PUNCT
m-917	64	109	(	(	PUNCT
m-917	64	110	)	)	PUNCT
m-917	64	111	(	(	PUNCT
m-917	64	112	qpqp	qpqp	NOUN
m-917	64	113			PROPN
m-917	64	114	σ	σ	NOUN
m-917	64	115	=	=	SYM
m-917	64	116	e(x	e(x	NUM
m-917	64	117	–	–	PUNCT
m-917	64	118	)e(x	)e(x	NOUN
m-917	64	119	–	–	PUNCT
m-917	64	120	)	)	NOUN
m-917	64	121			PROPN
m-917	64	122			PROPN
m-917	64	123			X
m-917	64	124			NOUN
m-917	64	125			VERB
m-917	64	126			PROPN
m-917	64	127			NOUN
m-917	64	128			X
m-917	64	129			NUM
m-917	64	130	)	)	PUNCT
m-917	64	131	)	)	PUNCT
m-917	64	132	(	(	PUNCT
m-917	64	133	(	(	PUNCT
m-917	64	134	)	)	PUNCT
m-917	64	135	)	)	PUNCT
m-917	64	136	(	(	PUNCT
m-917	64	137	(	(	PUNCT
m-917	64	138	)	)	PUNCT
m-917	64	139	)	)	PUNCT
m-917	64	140	(	(	PUNCT
m-917	64	141	(	(	PUNCT
m-917	64	142	)	)	PUNCT
m-917	64	143	)	)	PUNCT
m-917	64	144	(	(	PUNCT
m-917	64	145	(	(	PUNCT
m-917	64	146	)	)	PUNCT
m-917	64	147	2()2()2()2()1()1()2()2	2()2()2()2()1()1()2()2	NUM
m-917	64	148	(	(	PUNCT
m-917	64	149	)	)	PUNCT
m-917	64	150	2()2()1()1()1()1()1()1	2()2()1()1()1()1()1()1	PROPN
m-917	64	151	(	(	PUNCT
m-917	64	152	μxμxμxμx	μxμxμxμx	PROPN
m-917	64	153	μxμxμxμx	μxμxμxμx	PROPN
m-917	64	154	ee	ee	VERB
m-917	64	155	ee	ee	ADP
m-917	64	156			PROPN
m-917	64	157			PROPN
m-917	65	1			PROPN
m-917	65	2			X
m-917	65	3			NOUN
m-917	65	4			X
m-917	65	5			VERB
m-917	65	6			PROPN
m-917	65	7			NOUN
m-917	65	8			PROPN
m-917	65	9	)	)	PUNCT
m-917	66	1	(	(	PUNCT
m-917	66	2	22	22	NUM
m-917	66	3	)	)	PUNCT
m-917	66	4	(	(	PUNCT
m-917	66	5	21	21	NUM
m-917	66	6	)	)	PUNCT
m-917	66	7	(	(	PUNCT
m-917	66	8	12	12	NUM
m-917	66	9	)	)	PUNCT
m-917	66	10	(	(	PUNCT
m-917	66	11	11	11	NUM
m-917	66	12	qqpq	qqpq	ADJ
m-917	66	13	qppp	qppp	NOUN
m-917	66	14	σς	σς	ADP
m-917	66	15	σς	σς	PROPN
m-917	66	16	(	(	PUNCT
m-917	66	17	4	4	NUM
m-917	66	18	)	)	PUNCT
m-917	66	19	3.2	3.2	NUM
m-917	66	20	matrices	matrix	NOUN
m-917	66	21	and	and	CCONJ
m-917	66	22	computational	computational	ADJ
m-917	66	23	procedures	procedure	NOUN
m-917	66	24	of	of	ADP
m-917	66	25	redundancy	redundancy	NOUN
m-917	66	26	analysis	analysis	NOUN
m-917	66	27	let	let	VERB
m-917	66	28	x	x	PRON
m-917	66	29	be	be	AUX
m-917	66	30	a	a	DET
m-917	66	31	1p	1p	NUM
m-917	66	32	vector	vector	NOUN
m-917	66	33	that	that	PRON
m-917	66	34	includes	include	VERB
m-917	66	35	p	p	NOUN
m-917	66	36	predictor	predictor	NOUN
m-917	66	37	variables	variable	NOUN
m-917	66	38	in	in	ADP
m-917	66	39	the	the	DET
m-917	66	40	first	first	ADJ
m-917	66	41	set	set	NOUN
m-917	66	42	and	and	CCONJ
m-917	66	43	y	y	PROPN
m-917	66	44	be	be	AUX
m-917	66	45	a	a	DET
m-917	66	46	1q	1q	NUM
m-917	66	47	vectorthat	vectorthat	NOUN
m-917	66	48	includes	include	VERB
m-917	66	49	q	q	ADJ
m-917	66	50	criterion	criterion	NOUN
m-917	66	51	variables	variable	NOUN
m-917	66	52	in	in	ADP
m-917	66	53	the	the	DET
m-917	66	54	second	second	ADJ
m-917	66	55	set	set	NOUN
m-917	66	56	.	.	PUNCT
m-917	67	1	according	accord	VERB
m-917	67	2	to	to	ADP
m-917	67	3	van	van	PROPN
m-917	67	4	den	den	PROPN
m-917	67	5	wollenberg	wollenberg	PROPN
m-917	67	6	in	in	ADP
m-917	67	7	1977	1977	NUM
m-917	67	8	,	,	PUNCT
m-917	67	9	all	all	DET
m-917	67	10	variables	variable	NOUN
m-917	67	11	in	in	ADP
m-917	67	12	x	x	PUNCT
m-917	67	13	and	and	CCONJ
m-917	67	14	y	y	PROPN
m-917	67	15	should	should	AUX
m-917	67	16	be	be	AUX
m-917	67	17	standardized	standardize	VERB
m-917	67	18	variableswith	variableswith	NOUN
m-917	67	19	zero	zero	NUM
m-917	67	20	mean	mean	NOUN
m-917	67	21	and	and	CCONJ
m-917	67	22	unit	unit	NOUN
m-917	67	23	variance	variance	NOUN
m-917	67	24	(	(	PUNCT
m-917	67	25	gua	gua	PROPN
m-917	67	26	et	et	PROPN
m-917	67	27	al	al	PROPN
m-917	67	28	.	.	PROPN
m-917	67	29	,	,	PUNCT
m-917	67	30	2023	2023	NUM
m-917	67	31	)	)	PUNCT
m-917	67	32	.	.	PUNCT
m-917	68	1	thus	thus	ADV
m-917	68	2	,	,	PUNCT
m-917	68	3	the	the	DET
m-917	68	4	)	)	PUNCT
m-917	68	5	(	(	PUNCT
m-917	68	6	)	)	PUNCT
m-917	68	7	(	(	PUNCT
m-917	68	8	qpqp	qpqp	VERB
m-917	68	9			PROPN
m-917	68	10	covariance	covariance	NOUN
m-917	68	11	matrix	matrix	NOUN
m-917	68	12	of	of	ADP
m-917	68	13	the	the	DET
m-917	68	14	1	1	NUM
m-917	68	15	)	)	PUNCT
m-917	68	16	(	(	PUNCT
m-917	68	17			PROPN
m-917	68	18	qp	qp	PROPN
m-917	68	19	vector	vector	NOUN
m-917	68	20	)	)	PUNCT
m-917	68	21	yx	yx	PROPN
m-917	68	22	(	(	PUNCT
m-917	68	23			NOUN
m-917	68	24	is	be	AUX
m-917	68	25	a	a	DET
m-917	68	26	correlation	correlation	NOUN
m-917	68	27	matrix	matrix	NOUN
m-917	68	28	,	,	PUNCT
m-917	68	29	denoted	denote	VERB
m-917	68	30	by	by	ADP
m-917	68	31	r	r	NOUN
m-917	68	32	,	,	PUNCT
m-917	68	33	which	which	PRON
m-917	68	34	can	can	AUX
m-917	68	35	be	be	AUX
m-917	68	36	partitioned	partition	VERB
m-917	68	37	as	as	ADP
m-917	68	38	ijo	ijo	PROPN
m-917	68	39	journals	journal	NOUN
m-917	68	40	volume	volume	NOUN
m-917	68	41	07	07	NUM
m-917	68	42	|	|	NOUN
m-917	68	43	issue	issue	NOUN
m-917	68	44	08	08	NUM
m-917	69	1	|	|	CCONJ
m-917	69	2	august	august	PROPN
m-917	69	3	2024	2024	NUM
m-917	69	4	|	|	ADV
m-917	69	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	69	6	4	4	NUM
m-917	69	7	ijo	ijo	PROPN
m-917	69	8	international	international	ADJ
m-917	69	9	journal	journal	PROPN
m-917	69	10	of	of	ADP
m-917	69	11	mathematics	mathematics	PROPN
m-917	69	12	(	(	PUNCT
m-917	69	13	issn	issn	PROPN
m-917	69	14	:	:	PUNCT
m-917	69	15	2992	2992	NUM
m-917	69	16	-	-	SYM
m-917	69	17	4421	4421	NUM
m-917	69	18	)	)	PUNCT
m-917	69	19	osuagwu	osuagwu	ADV
m-917	69	20	,	,	PUNCT
m-917	69	21	chidimma	chidimma	PROPN
m-917	69	22	udo	udo	PROPN
m-917	69	23	.	.	PROPN
m-917	69	24	*	*	PROPN
m-917	70	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	70	2	volume	volume	NOUN
m-917	70	3	07	07	NUM
m-917	70	4	||	||	NOUN
m-917	70	5	issue	issue	NOUN
m-917	70	6	08	08	NUM
m-917	70	7	||	||	NOUN
m-917	70	8	august	august	PROPN
m-917	70	9	,	,	PUNCT
m-917	70	10	2024	2024	NUM
m-917	70	11	||	||	NOUN
m-917	70	12	performance	performance	NOUN
m-917	70	13	evaluation	evaluation	NOUN
m-917	70	14	of	of	ADP
m-917	70	15	canonical	canonical	ADJ
m-917	70	16	correlation	correlation	NOUN
m-917	70	17	analysis	analysis	NOUN
m-917	70	18	and	and	CCONJ
m-917	70	19	redundancy	redundancy	NOUN
m-917	70	20	analysisusing	analysisuse	VERB
m-917	70	21	gaussian	gaussian	NOUN
m-917	70	22	,	,	PUNCT
m-917	70	23	gamma	gamma	NOUN
m-917	70	24	,	,	PUNCT
m-917	70	25	exponential	exponential	NOUN
m-917	70	26	and	and	CCONJ
m-917	70	27	beta	beta	NOUN
m-917	70	28	distributed	distribute	VERB
m-917	70	29	data	datum	NOUN
m-917	70	30	,	,	PUNCT
m-917	70	31			PROPN
m-917	70	32			PROPN
m-917	70	33			NOUN
m-917	71	1			NOUN
m-917	71	2			PROPN
m-917	71	3			PROPN
m-917	72	1			PROPN
m-917	72	2			NOUN
m-917	73	1			PROPN
m-917	74	1	yyyx	yyyx	PROPN
m-917	74	2	xyxx	xyxx	PROPN
m-917	74	3	rr	rr	PROPN
m-917	75	1	rr	rr	PROPN
m-917	75	2	r	r	NOUN
m-917	75	3	(	(	PUNCT
m-917	75	4	4	4	NUM
m-917	75	5	)	)	PUNCT
m-917	75	6	where	where	SCONJ
m-917	75	7	xxr	xxr	PROPN
m-917	75	8	is	be	AUX
m-917	75	9	the	the	DET
m-917	75	10	pp	pp	PROPN
m-917	75	11	correlation	correlation	NOUN
m-917	75	12	matrix	matrix	NOUN
m-917	75	13	of	of	ADP
m-917	75	14	x	x	PRON
m-917	75	15	,	,	PUNCT
m-917	75	16	yyr	yyr	PROPN
m-917	75	17	is	be	AUX
m-917	75	18	the	the	DET
m-917	75	19	qq	qq	PROPN
m-917	75	20	correlation	correlation	NOUN
m-917	75	21	matrix	matrix	NOUN
m-917	75	22	of	of	ADP
m-917	75	23	y	y	PROPN
m-917	75	24	,	,	PUNCT
m-917	75	25	and	and	CCONJ
m-917	75	26	xyyx	xyyx	PROPN
m-917	75	27	rr	rr	PROPN
m-917	75	28			PROPN
m-917	75	29	is	be	AUX
m-917	75	30	a	a	DET
m-917	75	31	pq	pq	ADJ
m-917	75	32	matrix	matrix	NOUN
m-917	75	33	that	that	PRON
m-917	75	34	includes	include	VERB
m-917	75	35	the	the	DET
m-917	75	36	inter	inter	ADJ
m-917	75	37	-	-	ADJ
m-917	75	38	set	set	ADJ
m-917	75	39	correlations	correlation	NOUN
m-917	75	40	between	between	ADP
m-917	75	41	x	x	PUNCT
m-917	75	42	and	and	CCONJ
m-917	75	43	y.	y.	NOUN
m-917	75	44	to	to	PART
m-917	75	45	construct	construct	VERB
m-917	75	46	p	p	NOUN
m-917	75	47	redundancy	redundancy	NOUN
m-917	75	48	variates	variate	NOUN
m-917	75	49	,	,	PUNCT
m-917	75	50	denoted	denote	VERB
m-917	75	51	by	by	ADP
m-917	75	52	)	)	PUNCT
m-917	75	53	,	,	PUNCT
m-917	75	54	,	,	PUNCT
m-917	75	55	,	,	PUNCT
m-917	75	56	2,1	2,1	NUM
m-917	75	57	(	(	PUNCT
m-917	75	58	pii	pii	X
m-917	75	59			X
m-917	75	60	with	with	ADP
m-917	75	61	p	p	NOUN
m-917	75	62	predictor	predictor	NOUN
m-917	75	63	variables	variable	NOUN
m-917	75	64	in	in	ADP
m-917	75	65	x	x	PRON
m-917	75	66	,	,	PUNCT
m-917	75	67	the	the	DET
m-917	75	68	characteristic	characteristic	ADJ
m-917	75	69	equation	equation	NOUN
m-917	75	70	is	be	AUX
m-917	75	71	evaluated	evaluate	VERB
m-917	75	72	as	as	SCONJ
m-917	75	73	shown	show	VERB
m-917	75	74	in	in	ADP
m-917	75	75	equation	equation	NOUN
m-917	75	76	(	(	PUNCT
m-917	75	77	5	5	NUM
m-917	75	78	):	):	PUNCT
m-917	75	79	,	,	PUNCT
m-917	75	80	0	0	NUM
m-917	75	81	)	)	PUNCT
m-917	75	82	(	(	PUNCT
m-917	75	83			NOUN
m-917	75	84	ixxyxxy	ixxyxxy	NOUN
m-917	75	85	i	i	PRON
m-917	75	86	wrμrr	wrμrr	VERB
m-917	75	87	(	(	PUNCT
m-917	75	88	5	5	NUM
m-917	75	89	)	)	PUNCT
m-917	75	90	where	where	SCONJ
m-917	75	91	iμ	iμ	NOUN
m-917	75	92	is	be	AUX
m-917	75	93	the	the	DET
m-917	75	94	thi	thi	PROPN
m-917	75	95	eigenvalue	eigenvalue	PROPN
m-917	75	96	and	and	CCONJ
m-917	75	97	iw	iw	PROPN
m-917	75	98	is	be	AUX
m-917	75	99	the	the	DET
m-917	75	100	thi	thi	PROPN
m-917	75	101	eigen	eigen	PROPN
m-917	75	102	-	-	PUNCT
m-917	75	103	vector	vector	NOUN
m-917	75	104	.	.	PUNCT
m-917	76	1	then	then	ADV
m-917	76	2	,	,	PUNCT
m-917	76	3	one	one	PRON
m-917	76	4	can	can	AUX
m-917	76	5	employ	employ	VERB
m-917	76	6	the	the	DET
m-917	76	7	weight	weight	NOUN
m-917	76	8	coefficients	coefficient	NOUN
m-917	76	9	that	that	PRON
m-917	76	10	are	be	AUX
m-917	76	11	the	the	DET
m-917	76	12	elements	element	NOUN
m-917	76	13	of	of	ADP
m-917	76	14	the	the	DET
m-917	76	15	scaled	scale	VERB
m-917	76	16	eigenvector	eigenvector	NOUN
m-917	76	17	iw	iw	PROPN
m-917	76	18	to	to	PART
m-917	76	19	construct	construct	VERB
m-917	76	20	,	,	PUNCT
m-917	76	21	i	i	NOUN
m-917	76	22	such	such	ADJ
m-917	76	23	that	that	SCONJ
m-917	76	24	:	:	PUNCT
m-917	76	25	(	(	PUNCT
m-917	76	26	a	a	X
m-917	76	27	)	)	PUNCT
m-917	76	28	i	i	NOUN
m-917	76	29	is	be	AUX
m-917	76	30	uncorrelated	uncorrelate	VERB
m-917	76	31	with	with	ADP
m-917	76	32	)	)	PUNCT
m-917	76	33	,	,	PUNCT
m-917	76	34	(	(	PUNCT
m-917	76	35	jij	jij	PROPN
m-917	76	36			PROPN
m-917	76	37	and	and	CCONJ
m-917	76	38	(	(	PUNCT
m-917	76	39	b	b	X
m-917	76	40	)	)	PUNCT
m-917	76	41	i	i	PROPN
m-917	76	42	has	have	VERB
m-917	76	43	unit	unit	NOUN
m-917	76	44	variance	variance	NOUN
m-917	76	45	)	)	PUNCT
m-917	76	46	.,,2,1	.,,2,1	PROPN
m-917	77	1	(	(	PUNCT
m-917	77	2	pi	pi	NOUN
m-917	77	3			NUM
m-917	77	4	3.3	3.3	NUM
m-917	77	5	continuous	continuous	ADJ
m-917	77	6	probability	probability	NOUN
m-917	77	7	distributions	distribution	VERB
m-917	77	8	four	four	NUM
m-917	77	9	probability	probability	NOUN
m-917	77	10	distributions	distribution	NOUN
m-917	77	11	known	know	VERB
m-917	77	12	as	as	ADP
m-917	77	13	the	the	DET
m-917	77	14	gaussian	gaussian	NOUN
m-917	77	15	,	,	PUNCT
m-917	77	16	gamma	gamma	NOUN
m-917	77	17	,	,	PUNCT
m-917	77	18	beta	beta	NOUN
m-917	77	19	and	and	CCONJ
m-917	77	20	exponential	exponential	NOUN
m-917	77	21	are	be	AUX
m-917	77	22	discussed	discuss	VERB
m-917	77	23	in	in	ADP
m-917	77	24	this	this	DET
m-917	77	25	study	study	NOUN
m-917	77	26	.	.	PUNCT
m-917	78	1	3.3.1	3.3.1	NUM
m-917	78	2	the	the	DET
m-917	78	3	gaussian	gaussian	ADJ
m-917	78	4	distribution	distribution	NOUN
m-917	78	5	a	a	DET
m-917	78	6	random	random	ADJ
m-917	78	7	variable	variable	NOUN
m-917	78	8	(	(	PUNCT
m-917	78	9	r.v	r.v	PROPN
m-917	78	10	.	.	PROPN
m-917	78	11	)	)	PUNCT
m-917	79	1	in	in	ADP
m-917	79	2	continuous	continuous	ADJ
m-917	79	3	form	form	NOUN
m-917	79	4	say	say	VERB
m-917	79	5	x	x	X
m-917	79	6	,	,	PUNCT
m-917	79	7	choosing	choose	VERB
m-917	79	8	the	the	DET
m-917	79	9	whole	whole	ADJ
m-917	79	10	real	real	ADJ
m-917	79	11	values	value	NOUN
m-917	79	12	in	in	ADP
m-917	79	13	intervals	interval	NOUN
m-917	79	14			PROPN
m-917	79	15			X
m-917	79	16	,	,	PUNCT
m-917	79	17	is	be	AUX
m-917	79	18	known	know	VERB
m-917	79	19	to	to	PART
m-917	79	20	be	be	AUX
m-917	79	21	a	a	DET
m-917	79	22	gaussian	gaussian	NOUN
m-917	79	23	(	(	PUNCT
m-917	79	24	also	also	ADV
m-917	79	25	known	know	VERB
m-917	79	26	as	as	ADP
m-917	79	27	normal	normal	ADJ
m-917	79	28	)	)	PUNCT
m-917	79	29	distribution	distribution	NOUN
m-917	79	30	with	with	ADP
m-917	79	31	2	2	NUM
m-917	79	32	and	and	CCONJ
m-917	79	33			PROPN
m-917	79	34	as	as	ADP
m-917	79	35	its	its	PRON
m-917	79	36	parameters	parameter	NOUN
m-917	79	37	if	if	SCONJ
m-917	79	38	the	the	DET
m-917	79	39	probability	probability	NOUN
m-917	79	40	density	density	NOUN
m-917	79	41	function	function	NOUN
m-917	79	42	(	(	PUNCT
m-917	79	43	pdf	pdf	NOUN
m-917	79	44	)	)	PUNCT
m-917	79	45	is	be	AUX
m-917	79	46	defined	define	VERB
m-917	79	47	by	by	ADP
m-917	79	48	0	0	NUM
m-917	79	49	,	,	PUNCT
m-917	79	50	,	,	PUNCT
m-917	79	51	,	,	PUNCT
m-917	79	52	2	2	NUM
m-917	79	53	2	2	NUM
m-917	79	54	1	1	NUM
m-917	79	55	0	0	NUM
m-917	79	56	2	2	NUM
m-917	79	57	1	1	NUM
m-917	79	58	)	)	PUNCT
m-917	79	59	(	(	PUNCT
m-917	79	60	2	2	NUM
m-917	79	61			NOUN
m-917	79	62			NOUN
m-917	79	63			NOUN
m-917	79	64			NUM
m-917	79	65			NUM
m-917	79	66			NOUN
m-917	80	1			PROPN
m-917	80	2			PROPN
m-917	81	1			PROPN
m-917	81	2			NOUN
m-917	82	1			PROPN
m-917	82	2			PROPN
m-917	82	3			PROPN
m-917	82	4			PROPN
m-917	82	5			NOUN
m-917	82	6			NOUN
m-917	82	7			NOUN
m-917	82	8			NOUN
m-917	82	9			NOUN
m-917	82	10	x	x	X
m-917	83	1	x	x	PUNCT
m-917	83	2	e	e	X
m-917	83	3	otherwise	otherwise	ADV
m-917	83	4	xf	xf	PROPN
m-917	83	5	(	(	PUNCT
m-917	83	6	6	6	NUM
m-917	83	7	)	)	PUNCT
m-917	83	8	where	where	SCONJ
m-917	83	9	the	the	DET
m-917	83	10	study	study	NOUN
m-917	83	11	used	use	VERB
m-917	83	12	the	the	DET
m-917	83	13	notation	notation	NOUN
m-917	83	14	)	)	PUNCT
m-917	83	15	;	;	PUNCT
m-917	83	16	(	(	PUNCT
m-917	83	17	2n	2n	NUM
m-917	83	18	to	to	PART
m-917	83	19	show	show	VERB
m-917	83	20	that	that	SCONJ
m-917	83	21	x	x	PRON
m-917	83	22	is	be	AUX
m-917	83	23	normal	normal	ADJ
m-917	83	24	with	with	ADP
m-917	83	25	mean	mean	ADJ
m-917	83	26			NOUN
m-917	83	27	and	and	CCONJ
m-917	83	28	variance	variance	NOUN
m-917	83	29	2	2	NUM
m-917	83	30	(	(	PUNCT
m-917	83	31	sumair	sumair	PROPN
m-917	83	32	,	,	PUNCT
m-917	83	33	et	et	PROPN
m-917	83	34	al	al	PROPN
m-917	83	35	.	.	PROPN
m-917	83	36	,	,	PUNCT
m-917	83	37	2021	2021	NUM
m-917	83	38	)	)	PUNCT
m-917	83	39	.	.	PUNCT
m-917	84	1	this	this	DET
m-917	84	2	pdf	pdf	NOUN
m-917	84	3	is	be	AUX
m-917	84	4	bell	bell	NOUN
m-917	84	5	-	-	PUNCT
m-917	84	6	shaped	shape	VERB
m-917	84	7	,	,	PUNCT
m-917	84	8	symmetrical	symmetrical	ADJ
m-917	84	9	,	,	PUNCT
m-917	84	10	and	and	CCONJ
m-917	84	11	centered	center	VERB
m-917	84	12	at	at	ADP
m-917	84	13	its	its	PRON
m-917	84	14	mean	mean	ADJ
m-917	84	15	value	value	NOUN
m-917	84	16			NOUN
m-917	84	17	.	.	PUNCT
m-917	85	1	the	the	DET
m-917	85	2	entire	entire	ADJ
m-917	85	3	area	area	NOUN
m-917	85	4	bounded	bound	VERB
m-917	85	5	by	by	ADP
m-917	85	6	this	this	DET
m-917	85	7	function	function	NOUN
m-917	85	8			NOUN
m-917	85	9	f	f	ADP
m-917	85	10	x	x	SYM
m-917	85	11	and	and	CCONJ
m-917	85	12	axis	axis	NOUN
m-917	85	13	-	-	PUNCT
m-917	85	14	x	x	NOUN
m-917	85	15	is	be	AUX
m-917	85	16	1	1	NUM
m-917	85	17	and	and	CCONJ
m-917	85	18	therefore	therefore	ADV
m-917	85	19	the	the	DET
m-917	85	20	area	area	NOUN
m-917	85	21	beneath	beneath	ADP
m-917	85	22	the	the	DET
m-917	85	23	curve	curve	NOUN
m-917	85	24	across	across	ADP
m-917	85	25	two	two	NUM
m-917	85	26	values	value	NOUN
m-917	85	27	of	of	ADP
m-917	85	28	x	x	SYM
m-917	85	29	,	,	PUNCT
m-917	85	30	say	say	INTJ
m-917	85	31	,	,	PUNCT
m-917	85	32	and	and	CCONJ
m-917	85	33	with	with	ADP
m-917	85	34	a	a	DET
m-917	85	35	b	b	NOUN
m-917	85	36	a	a	DET
m-917	85	37	b	b	NOUN
m-917	85	38	,	,	PUNCT
m-917	85	39	constitutes	constitute	VERB
m-917	85	40	the	the	DET
m-917	85	41	probability	probability	NOUN
m-917	85	42	that	that	SCONJ
m-917	85	43	the	the	DET
m-917	85	44	r.v	r.v	PROPN
m-917	85	45	x	x	VERB
m-917	85	46	lies	lie	VERB
m-917	85	47	across	across	ADP
m-917	85	48	and	and	CCONJ
m-917	85	49	a	a	DET
m-917	85	50	b	b	NOUN
m-917	85	51	,	,	PUNCT
m-917	85	52	which	which	PRON
m-917	85	53	we	we	PRON
m-917	85	54	write	write	VERB
m-917	85	55	as	as	ADP
m-917	85	56			PROPN
m-917	85	57	p	p	PUNCT
m-917	85	58	a	a	DET
m-917	85	59	x	x	INTJ
m-917	85	60	b	b	PROPN
m-917	85	61			PROPN
m-917	85	62	.	.	PUNCT
m-917	86	1	an	an	DET
m-917	86	2	example	example	NOUN
m-917	86	3	of	of	ADP
m-917	86	4	a	a	DET
m-917	86	5	normal	normal	ADJ
m-917	86	6	r.v	r.v	NOUN
m-917	86	7	is	be	AUX
m-917	86	8	height	height	NOUN
m-917	86	9	of	of	ADP
m-917	86	10	students	student	NOUN
m-917	86	11	at	at	ADP
m-917	86	12	a	a	DET
m-917	86	13	specified	specified	ADJ
m-917	86	14	age	age	NOUN
m-917	86	15	for	for	ADP
m-917	86	16	a	a	DET
m-917	86	17	specified	specify	VERB
m-917	86	18	sex	sex	NOUN
m-917	86	19	in	in	ADP
m-917	86	20	a	a	DET
m-917	86	21	specified	specify	VERB
m-917	86	22	racial	racial	ADJ
m-917	86	23	group	group	NOUN
m-917	86	24	even	even	ADV
m-917	86	25	though	though	SCONJ
m-917	86	26	heights	height	NOUN
m-917	86	27	must	must	AUX
m-917	86	28	be	be	AUX
m-917	86	29	positive	positive	ADJ
m-917	86	30	(	(	PUNCT
m-917	86	31	el	el	NOUN
m-917	86	32	-	-	PUNCT
m-917	86	33	morshedy	morshedy	PROPN
m-917	86	34	et	et	PROPN
m-917	86	35	al	al	PROPN
m-917	86	36	.	.	PROPN
m-917	86	37	,	,	PUNCT
m-917	86	38	2021	2021	NUM
m-917	86	39	)	)	PUNCT
m-917	86	40	.	.	PUNCT
m-917	87	1	ijo	ijo	PROPN
m-917	87	2	journals	journal	NOUN
m-917	87	3	volume	volume	NOUN
m-917	87	4	07	07	NUM
m-917	87	5	|	|	NOUN
m-917	87	6	issue	issue	NOUN
m-917	87	7	08	08	NUM
m-917	88	1	|	|	CCONJ
m-917	88	2	august	august	PROPN
m-917	88	3	2024	2024	NUM
m-917	88	4	|	|	ADV
m-917	88	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	88	6	5	5	NUM
m-917	88	7	ijo	ijo	PROPN
m-917	88	8	international	international	ADJ
m-917	88	9	journal	journal	PROPN
m-917	88	10	of	of	ADP
m-917	88	11	mathematics	mathematics	PROPN
m-917	88	12	(	(	PUNCT
m-917	88	13	issn	issn	PROPN
m-917	88	14	:	:	PUNCT
m-917	88	15	2992	2992	NUM
m-917	88	16	-	-	SYM
m-917	88	17	4421	4421	NUM
m-917	88	18	)	)	PUNCT
m-917	88	19	osuagwu	osuagwu	ADV
m-917	88	20	,	,	PUNCT
m-917	88	21	chidimma	chidimma	PROPN
m-917	88	22	udo	udo	PROPN
m-917	88	23	.	.	PROPN
m-917	88	24	*	*	PROPN
m-917	89	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	89	2	volume	volume	NOUN
m-917	89	3	07	07	NUM
m-917	89	4	||	||	NOUN
m-917	89	5	issue	issue	NOUN
m-917	89	6	08	08	NUM
m-917	89	7	||	||	NOUN
m-917	89	8	august	august	PROPN
m-917	89	9	,	,	PUNCT
m-917	89	10	2024	2024	NUM
m-917	89	11	||	||	NOUN
m-917	89	12	performance	performance	NOUN
m-917	89	13	evaluation	evaluation	NOUN
m-917	89	14	of	of	ADP
m-917	89	15	canonical	canonical	ADJ
m-917	89	16	correlation	correlation	NOUN
m-917	89	17	analysis	analysis	NOUN
m-917	89	18	and	and	CCONJ
m-917	89	19	redundancy	redundancy	NOUN
m-917	89	20	analysisusing	analysisuse	VERB
m-917	89	21	gaussian	gaussian	NOUN
m-917	89	22	,	,	PUNCT
m-917	89	23	gamma	gamma	NOUN
m-917	89	24	,	,	PUNCT
m-917	89	25	exponential	exponential	NOUN
m-917	89	26	and	and	CCONJ
m-917	89	27	beta	beta	NOUN
m-917	89	28	distributed	distribute	VERB
m-917	89	29	data	datum	NOUN
m-917	89	30	the	the	DET
m-917	89	31	pdf	pdf	NOUN
m-917	89	32	of	of	ADP
m-917	89	33	a	a	DET
m-917	89	34	standard	standard	ADJ
m-917	89	35	normal	normal	ADJ
m-917	89	36	distribution	distribution	NOUN
m-917	89	37	is	be	AUX
m-917	89	38			NOUN
m-917	89	39			PROPN
m-917	89	40			NUM
m-917	89	41			PROPN
m-917	89	42			NUM
m-917	89	43			NUM
m-917	89	44			AUX
m-917	89	45			VERB
m-917	89	46			PROPN
m-917	89	47	otherwise	otherwise	ADV
m-917	89	48	zezf	zezf	PROPN
m-917	89	49	z	z	PROPN
m-917	89	50	,	,	PUNCT
m-917	89	51	0	0	NUM
m-917	89	52	,	,	PUNCT
m-917	89	53	21	21	NUM
m-917	89	54	2	2	NUM
m-917	89	55	2	2	NUM
m-917	89	56			NOUN
m-917	89	57	(	(	PUNCT
m-917	89	58	7	7	NUM
m-917	89	59	)	)	PUNCT
m-917	89	60	the	the	DET
m-917	89	61	respective	respective	ADJ
m-917	89	62	mean	mean	NOUN
m-917	89	63	and	and	CCONJ
m-917	89	64	variance	variance	NOUN
m-917	89	65	of	of	ADP
m-917	89	66	a	a	DET
m-917	89	67	gaussian	gaussian	ADJ
m-917	89	68	distribution	distribution	NOUN
m-917	89	69	are	be	AUX
m-917	89	70	respectively	respectively	ADV
m-917	89	71	given	give	VERB
m-917	89	72	as	as	ADP
m-917	89	73	;	;	PUNCT
m-917	89	74			PROPN
m-917	89	75			PROPN
m-917	89	76	xe	xe	NOUN
m-917	89	77	(	(	PUNCT
m-917	89	78	8)	8)	NUM
m-917	89	79	and	and	CCONJ
m-917	89	80			NOUN
m-917	89	81			SYM
m-917	89	82	2xvar	2xvar	NUM
m-917	89	83	(	(	PUNCT
m-917	89	84	9	9	NUM
m-917	89	85	)	)	PUNCT
m-917	89	86	3.3.2	3.3.2	NUM
m-917	89	87	gamma	gamma	NOUN
m-917	89	88	distribution	distribution	NOUN
m-917	89	89	a	a	DET
m-917	89	90	r.v	r.v	NOUN
m-917	89	91	x	x	VERB
m-917	89	92	is	be	AUX
m-917	89	93	said	say	VERB
m-917	89	94	to	to	PART
m-917	89	95	follow	follow	VERB
m-917	89	96	a	a	DET
m-917	89	97	gamma	gamma	NOUN
m-917	89	98	r.v	r.v	PROPN
m-917	89	99	with	with	ADP
m-917	89	100	parameters	parameter	NOUN
m-917	89	101	and	and	PROPN
m-917	89	102			PROPN
m-917	89	103	,	,	PUNCT
m-917	89	104	if	if	SCONJ
m-917	89	105	its	its	PRON
m-917	89	106	pdf	pdf	NOUN
m-917	89	107	is	be	AUX
m-917	89	108	given	give	VERB
m-917	89	109	by	by	ADP
m-917	89	110	:	:	PUNCT
m-917	89	111			NOUN
m-917	89	112			PUNCT
m-917	90	1			PROPN
m-917	90	2			NUM
m-917	90	3			NUM
m-917	90	4			ADP
m-917	91	1			PRON
m-917	92	1			NUM
m-917	92	2			NUM
m-917	92	3			PROPN
m-917	92	4			PROPN
m-917	92	5	otherwise	otherwise	ADV
m-917	92	6	,	,	PUNCT
m-917	92	7	0	0	NUM
m-917	92	8	0,0,0	0,0,0	NOUN
m-917	92	9	,	,	PUNCT
m-917	92	10	)	)	PUNCT
m-917	92	11	(	(	PUNCT
m-917	92	12	1	1	NUM
m-917	92	13			X
m-917	92	14			ADJ
m-917	92	15			ADJ
m-917	92	16			NOUN
m-917	92	17	x	x	X
m-917	92	18	ex	ex	X
m-917	92	19	xf	xf	PROPN
m-917	92	20	x	x	X
m-917	92	21	(	(	PUNCT
m-917	92	22	10	10	NUM
m-917	92	23	)	)	PUNCT
m-917	92	24	where	where	SCONJ
m-917	92	25			NOUN
m-917	92	26			PROPN
m-917	92	27	is	be	AUX
m-917	92	28	the	the	DET
m-917	92	29	gamma	gamma	NOUN
m-917	92	30	function	function	NOUN
m-917	92	31	defined	define	VERB
m-917	92	32	as	as	ADP
m-917	92	33	;	;	PUNCT
m-917	92	34			PROPN
m-917	92	35			PROPN
m-917	92	36	dtt	dtt	NOUN
m-917	92	37	et	et	PROPN
m-917	92	38			X
m-917	92	39			PROPN
m-917	92	40	0	0	PROPN
m-917	92	41	1	1	NUM
m-917	92	42	(	(	PUNCT
m-917	92	43	11	11	NUM
m-917	92	44	)	)	PUNCT
m-917	92	45	the	the	DET
m-917	92	46	gamma	gamma	PROPN
m-917	92	47	probability	probability	NOUN
m-917	92	48	density	density	NOUN
m-917	92	49	function	function	NOUN
m-917	92	50	as	as	SCONJ
m-917	92	51	given	give	VERB
m-917	92	52	in	in	ADP
m-917	92	53	equation	equation	NOUN
m-917	92	54	(	(	PUNCT
m-917	92	55	10	10	NUM
m-917	92	56	)	)	PUNCT
m-917	92	57	is	be	AUX
m-917	92	58	a	a	DET
m-917	92	59	normal	normal	ADJ
m-917	92	60	or	or	CCONJ
m-917	92	61	legitimate	legitimate	ADJ
m-917	92	62	pdf	pdf	NOUN
m-917	92	63	.	.	PUNCT
m-917	93	1	the	the	DET
m-917	93	2	respective	respective	ADJ
m-917	93	3	mean	mean	NOUN
m-917	93	4	and	and	CCONJ
m-917	93	5	variance	variance	NOUN
m-917	93	6	of	of	ADP
m-917	93	7	a	a	DET
m-917	93	8	gamma	gamma	NOUN
m-917	93	9	distribution	distribution	NOUN
m-917	93	10	are	be	AUX
m-917	93	11	respectively	respectively	ADV
m-917	93	12	given	give	VERB
m-917	93	13	as	as	ADP
m-917	93	14	;	;	PUNCT
m-917	93	15	)(xe	)(xe	X
m-917	93	16	(	(	PUNCT
m-917	93	17	12	12	NUM
m-917	93	18	)	)	PUNCT
m-917	93	19	and	and	CCONJ
m-917	93	20	2	2	NUM
m-917	93	21	)	)	PUNCT
m-917	93	22	(	(	PUNCT
m-917	93	23	xvar	xvar	NOUN
m-917	93	24	(	(	PUNCT
m-917	93	25	13	13	NUM
m-917	93	26	)	)	PUNCT
m-917	93	27	to	to	PART
m-917	93	28	obtain	obtain	VERB
m-917	93	29	the	the	DET
m-917	93	30	scale	scale	NOUN
m-917	93	31	(	(	PUNCT
m-917	93	32			PROPN
m-917	93	33	)	)	PUNCT
m-917	93	34	and	and	CCONJ
m-917	93	35	shape	shape	NOUN
m-917	93	36	(	(	PUNCT
m-917	93	37			NOUN
m-917	93	38	)	)	PUNCT
m-917	93	39	parameters	parameter	NOUN
m-917	93	40	of	of	ADP
m-917	93	41	a	a	DET
m-917	93	42	gamma	gamma	NOUN
m-917	93	43	distribution	distribution	NOUN
m-917	93	44	,	,	PUNCT
m-917	93	45	we	we	PRON
m-917	93	46	have	have	VERB
m-917	93	47			NOUN
m-917	93	48	)(xe	)(xe	NOUN
m-917	93	49	(	(	PUNCT
m-917	93	50	14	14	NUM
m-917	93	51	)	)	PUNCT
m-917	93	52	22	22	NUM
m-917	93	53	)	)	PUNCT
m-917	93	54	(	(	PUNCT
m-917	93	55			VERB
m-917	93	56	xvar	xvar	PROPN
m-917	93	57	(	(	PUNCT
m-917	93	58	15	15	NUM
m-917	93	59	)	)	PUNCT
m-917	93	60	from	from	ADP
m-917	93	61	equation	equation	NOUN
m-917	93	62	(	(	PUNCT
m-917	93	63	14	14	NUM
m-917	93	64	)	)	PUNCT
m-917	93	65	,	,	PUNCT
m-917	93	66	put	put	VERB
m-917	93	67			NOUN
m-917	93	68			NOUN
m-917	93	69			NOUN
m-917	93	70			ADJ
m-917	93	71	into	into	ADP
m-917	93	72	equation	equation	NOUN
m-917	93	73	(	(	PUNCT
m-917	93	74	15	15	NUM
m-917	93	75	)	)	PUNCT
m-917	93	76	to	to	PART
m-917	93	77	obtain	obtain	VERB
m-917	93	78			PROPN
m-917	93	79	2	2	PROPN
m-917	93	80	(	(	PUNCT
m-917	93	81	16	16	NUM
m-917	93	82	)	)	PUNCT
m-917	93	83	from	from	ADP
m-917	93	84	equation	equation	NOUN
m-917	93	85	(	(	PUNCT
m-917	93	86	16	16	NUM
m-917	93	87	)	)	PUNCT
m-917	93	88	,	,	PUNCT
m-917	93	89	the	the	DET
m-917	93	90	scale	scale	NOUN
m-917	93	91	parameter	parameter	NOUN
m-917	93	92	is	be	AUX
m-917	93	93	obtained	obtain	VERB
m-917	93	94	as	as	ADP
m-917	93	95	ijo	ijo	PROPN
m-917	93	96	journals	journal	NOUN
m-917	93	97	volume	volume	NOUN
m-917	93	98	07	07	NUM
m-917	93	99	|	|	NOUN
m-917	93	100	issue	issue	NOUN
m-917	93	101	08	08	NUM
m-917	94	1	|	|	CCONJ
m-917	94	2	august	august	PROPN
m-917	94	3	2024	2024	NUM
m-917	95	1	|	|	ADV
m-917	95	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	95	3	6	6	NUM
m-917	95	4	ijo	ijo	PROPN
m-917	95	5	international	international	ADJ
m-917	95	6	journal	journal	PROPN
m-917	95	7	of	of	ADP
m-917	95	8	mathematics	mathematics	PROPN
m-917	95	9	(	(	PUNCT
m-917	95	10	issn	issn	PROPN
m-917	95	11	:	:	PUNCT
m-917	95	12	2992	2992	NUM
m-917	95	13	-	-	SYM
m-917	95	14	4421	4421	NUM
m-917	95	15	)	)	PUNCT
m-917	95	16	osuagwu	osuagwu	ADV
m-917	95	17	,	,	PUNCT
m-917	95	18	chidimma	chidimma	PROPN
m-917	95	19	udo	udo	PROPN
m-917	95	20	.	.	PROPN
m-917	95	21	*	*	PROPN
m-917	96	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	96	2	volume	volume	NOUN
m-917	96	3	07	07	NUM
m-917	96	4	||	||	NOUN
m-917	96	5	issue	issue	NOUN
m-917	96	6	08	08	NUM
m-917	96	7	||	||	NOUN
m-917	96	8	august	august	PROPN
m-917	96	9	,	,	PUNCT
m-917	96	10	2024	2024	NUM
m-917	96	11	||	||	NOUN
m-917	96	12	performance	performance	NOUN
m-917	96	13	evaluation	evaluation	NOUN
m-917	96	14	of	of	ADP
m-917	96	15	canonical	canonical	ADJ
m-917	96	16	correlation	correlation	NOUN
m-917	96	17	analysis	analysis	NOUN
m-917	96	18	and	and	CCONJ
m-917	96	19	redundancy	redundancy	NOUN
m-917	96	20	analysisusing	analysisuse	VERB
m-917	96	21	gaussian	gaussian	NOUN
m-917	96	22	,	,	PUNCT
m-917	96	23	gamma	gamma	NOUN
m-917	96	24	,	,	PUNCT
m-917	96	25	exponential	exponential	NOUN
m-917	96	26	and	and	CCONJ
m-917	96	27	beta	beta	NOUN
m-917	96	28	distributed	distribute	VERB
m-917	96	29	data	data	NOUN
m-917	96	30			NOUN
m-917	96	31			PROPN
m-917	96	32			NOUN
m-917	96	33	2	2	NUM
m-917	96	34			NOUN
m-917	96	35	(	(	PUNCT
m-917	96	36	17	17	NUM
m-917	96	37	)	)	PUNCT
m-917	96	38	substitute	substitute	NOUN
m-917	96	39	equation	equation	NOUN
m-917	96	40	(	(	PUNCT
m-917	96	41	17	17	NUM
m-917	96	42	)	)	PUNCT
m-917	96	43	into	into	ADP
m-917	96	44	equation	equation	NOUN
m-917	96	45	(	(	PUNCT
m-917	96	46	14	14	NUM
m-917	96	47	)	)	PUNCT
m-917	96	48	to	to	PART
m-917	96	49	obtain	obtain	VERB
m-917	96	50	the	the	DET
m-917	96	51	shape	shape	NOUN
m-917	96	52	parameter	parameter	NOUN
m-917	96	53	as	as	ADP
m-917	96	54	2	2	NUM
m-917	96	55	2	2	NUM
m-917	96	56			NOUN
m-917	96	57			NOUN
m-917	96	58			NOUN
m-917	96	59			NOUN
m-917	96	60	(	(	PUNCT
m-917	96	61	18	18	NUM
m-917	96	62	)	)	PUNCT
m-917	96	63	equations	equation	NOUN
m-917	96	64	(	(	PUNCT
m-917	96	65	17	17	NUM
m-917	96	66	)	)	PUNCT
m-917	96	67	and	and	CCONJ
m-917	96	68	(	(	PUNCT
m-917	96	69	18	18	NUM
m-917	96	70	)	)	PUNCT
m-917	96	71	were	be	AUX
m-917	96	72	employed	employ	VERB
m-917	96	73	in	in	ADP
m-917	96	74	the	the	DET
m-917	96	75	simulation	simulation	NOUN
m-917	96	76	of	of	ADP
m-917	96	77	data	datum	NOUN
m-917	96	78	for	for	ADP
m-917	96	79	gamma	gamma	NOUN
m-917	96	80	distribution	distribution	NOUN
m-917	96	81	in	in	ADP
m-917	96	82	this	this	DET
m-917	96	83	study	study	NOUN
m-917	96	84	.	.	PUNCT
m-917	97	1	3.2.3	3.2.3	NUM
m-917	97	2	the	the	DET
m-917	97	3	exponential	exponential	ADJ
m-917	97	4	distribution	distribution	NOUN
m-917	97	5	a	a	DET
m-917	97	6	continuous	continuous	ADJ
m-917	97	7	random	random	ADJ
m-917	97	8	variable	variable	NOUN
m-917	97	9	x	x	X
m-917	97	10	,	,	PUNCT
m-917	97	11	is	be	AUX
m-917	97	12	said	say	VERB
m-917	97	13	to	to	PART
m-917	97	14	have	have	VERB
m-917	97	15	an	an	DET
m-917	97	16	exponential	exponential	ADJ
m-917	97	17	distribution	distribution	NOUN
m-917	97	18	with	with	ADP
m-917	97	19	parameter	parameter	NOUN
m-917	97	20	0	0	NUM
m-917	97	21	if	if	SCONJ
m-917	97	22	it	it	PRON
m-917	97	23	has	have	VERB
m-917	97	24	a	a	DET
m-917	97	25	probability	probability	NOUN
m-917	97	26	density	density	NOUN
m-917	97	27	function	function	NOUN
m-917	97	28	defined	define	VERB
m-917	97	29	by	by	ADP
m-917	97	30			PROPN
m-917	97	31			NUM
m-917	97	32			NUM
m-917	97	33			ADP
m-917	97	34			NUM
m-917	97	35			NUM
m-917	97	36			PROPN
m-917	97	37	otherwise	otherwise	ADV
m-917	97	38	xe	xe	PROPN
m-917	97	39	xf	xf	PROPN
m-917	97	40	x	x	PROPN
m-917	97	41	0	0	NUM
m-917	97	42	)	)	PUNCT
m-917	97	43	(	(	PUNCT
m-917	97	44	0	0	NUM
m-917	97	45	,	,	PUNCT
m-917	97	46			NOUN
m-917	97	47	(	(	PUNCT
m-917	97	48	19	19	NUM
m-917	97	49	)	)	PUNCT
m-917	97	50	the	the	DET
m-917	97	51	respective	respective	ADJ
m-917	97	52	mean	mean	NOUN
m-917	97	53	and	and	CCONJ
m-917	97	54	variance	variance	NOUN
m-917	97	55	of	of	ADP
m-917	97	56	an	an	DET
m-917	97	57	exponential	exponential	ADJ
m-917	97	58	distribution	distribution	NOUN
m-917	97	59	are	be	AUX
m-917	97	60	respectively	respectively	ADV
m-917	97	61	given	give	VERB
m-917	97	62	as	as	ADP
m-917	97	63	;	;	PUNCT
m-917	97	64			X
m-917	97	65	1	1	NUM
m-917	97	66	)	)	PUNCT
m-917	97	67	(	(	PUNCT
m-917	97	68	xe	xe	X
m-917	97	69	(	(	PUNCT
m-917	97	70	20	20	NUM
m-917	97	71	)	)	PUNCT
m-917	97	72	and	and	CCONJ
m-917	97	73	2	2	NUM
m-917	97	74	1	1	NUM
m-917	97	75	)	)	PUNCT
m-917	97	76	(	(	PUNCT
m-917	97	77			X
m-917	97	78	xvar	xvar	NUM
m-917	97	79	(	(	PUNCT
m-917	97	80	21	21	NUM
m-917	97	81	)	)	PUNCT
m-917	97	82	to	to	PART
m-917	97	83	obtain	obtain	VERB
m-917	97	84	the	the	DET
m-917	97	85	rate	rate	NOUN
m-917	97	86	parameter	parameter	NOUN
m-917	97	87	(	(	PUNCT
m-917	97	88			X
m-917	97	89	)	)	PUNCT
m-917	97	90	of	of	ADP
m-917	97	91	an	an	DET
m-917	97	92	exponential	exponential	ADJ
m-917	97	93	distribution	distribution	NOUN
m-917	97	94	,	,	PUNCT
m-917	97	95	we	we	PRON
m-917	97	96	have	have	VERB
m-917	97	97			NOUN
m-917	97	98			ADJ
m-917	97	99			ADJ
m-917	97	100			NOUN
m-917	97	101	11	11	NUM
m-917	97	102	)	)	PUNCT
m-917	97	103	(	(	PUNCT
m-917	97	104	xe	xe	PROPN
m-917	97	105	(	(	PUNCT
m-917	97	106	22	22	NUM
m-917	97	107	)	)	PUNCT
m-917	97	108	equations(22	equations(22	NOUN
m-917	97	109	)	)	PUNCT
m-917	97	110	was	be	AUX
m-917	97	111	employed	employ	VERB
m-917	97	112	in	in	ADP
m-917	97	113	the	the	DET
m-917	97	114	simulation	simulation	NOUN
m-917	97	115	of	of	ADP
m-917	97	116	data	datum	NOUN
m-917	97	117	for	for	ADP
m-917	97	118	an	an	DET
m-917	97	119	exponential	exponential	ADJ
m-917	97	120	distribution	distribution	NOUN
m-917	97	121	in	in	ADP
m-917	97	122	this	this	DET
m-917	97	123	study	study	NOUN
m-917	97	124	.	.	PUNCT
m-917	98	1	3.2.4	3.2.4	NUM
m-917	98	2	beta	beta	ADJ
m-917	98	3	distribution	distribution	NOUN
m-917	98	4	a	a	DET
m-917	98	5	standard	standard	ADJ
m-917	98	6	beta	beta	ADJ
m-917	98	7	distribution	distribution	NOUN
m-917	98	8	is	be	AUX
m-917	98	9	a	a	DET
m-917	98	10	two	two	NUM
m-917	98	11	-	-	PUNCT
m-917	98	12	parameter	parameter	NOUN
m-917	98	13	family	family	NOUN
m-917	98	14	of	of	ADP
m-917	98	15	distribution	distribution	NOUN
m-917	98	16	for	for	ADP
m-917	98	17	a	a	DET
m-917	98	18	continuous	continuous	ADJ
m-917	98	19	random	random	ADJ
m-917	98	20	variabley	variabley	NOUN
m-917	98	21	,	,	PUNCT
m-917	98	22	defined	define	VERB
m-917	98	23	in	in	ADP
m-917	98	24	a	a	DET
m-917	98	25	finite	finite	ADJ
m-917	98	26	interval	interval	NOUN
m-917	98	27	on	on	ADP
m-917	98	28	a	a	DET
m-917	98	29	real	real	ADJ
m-917	98	30	line	line	NOUN
m-917	98	31	with	with	ADP
m-917	98	32	its	its	PRON
m-917	98	33	density	density	NOUN
m-917	98	34	function	function	NOUN
m-917	98	35	given	give	VERB
m-917	98	36	by	by	ADP
m-917	98	37	ijo	ijo	PROPN
m-917	98	38	journals	journal	NOUN
m-917	98	39	volume	volume	NOUN
m-917	98	40	07	07	NUM
m-917	98	41	|	|	NOUN
m-917	98	42	issue	issue	NOUN
m-917	98	43	08	08	NUM
m-917	99	1	|	|	CCONJ
m-917	99	2	august	august	PROPN
m-917	99	3	2024	2024	NUM
m-917	99	4	|	|	ADV
m-917	99	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	99	6	7	7	NUM
m-917	99	7	ijo	ijo	PROPN
m-917	99	8	international	international	ADJ
m-917	99	9	journal	journal	PROPN
m-917	99	10	of	of	ADP
m-917	99	11	mathematics	mathematics	PROPN
m-917	99	12	(	(	PUNCT
m-917	99	13	issn	issn	PROPN
m-917	99	14	:	:	PUNCT
m-917	99	15	2992	2992	NUM
m-917	99	16	-	-	SYM
m-917	99	17	4421	4421	NUM
m-917	99	18	)	)	PUNCT
m-917	99	19	osuagwu	osuagwu	ADV
m-917	99	20	,	,	PUNCT
m-917	99	21	chidimma	chidimma	PROPN
m-917	99	22	udo	udo	PROPN
m-917	99	23	.	.	PROPN
m-917	99	24	*	*	PROPN
m-917	100	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	100	2	volume	volume	NOUN
m-917	100	3	07	07	NUM
m-917	100	4	||	||	NOUN
m-917	100	5	issue	issue	NOUN
m-917	100	6	08	08	NUM
m-917	100	7	||	||	NOUN
m-917	100	8	august	august	PROPN
m-917	100	9	,	,	PUNCT
m-917	100	10	2024	2024	NUM
m-917	100	11	||	||	NOUN
m-917	100	12	performance	performance	NOUN
m-917	100	13	evaluation	evaluation	NOUN
m-917	100	14	of	of	ADP
m-917	100	15	canonical	canonical	ADJ
m-917	100	16	correlation	correlation	NOUN
m-917	100	17	analysis	analysis	NOUN
m-917	100	18	and	and	CCONJ
m-917	100	19	redundancy	redundancy	NOUN
m-917	100	20	analysisusing	analysisuse	VERB
m-917	100	21	gaussian	gaussian	NOUN
m-917	100	22	,	,	PUNCT
m-917	100	23	gamma	gamma	NOUN
m-917	100	24	,	,	PUNCT
m-917	100	25	exponential	exponential	NOUN
m-917	100	26	and	and	CCONJ
m-917	100	27	beta	beta	NOUN
m-917	100	28	distributed	distribute	VERB
m-917	100	29	data	data	NOUN
m-917	100	30			NOUN
m-917	100	31			NUM
m-917	100	32			NUM
m-917	100	33			NOUN
m-917	101	1			VERB
m-917	101	2			PROPN
m-917	101	3			PRON
m-917	101	4			NUM
m-917	101	5	otherwise	otherwise	ADV
m-917	101	6	,	,	PUNCT
m-917	101	7	0	0	NUM
m-917	101	8	10	10	NUM
m-917	101	9	,	,	PUNCT
m-917	101	10	)	)	PUNCT
m-917	101	11	,	,	PUNCT
m-917	101	12	(	(	PUNCT
m-917	101	13	)	)	PUNCT
m-917	101	14	1	1	NUM
m-917	101	15	(	(	PUNCT
m-917	101	16	)	)	PUNCT
m-917	101	17	(	(	PUNCT
m-917	101	18	11	11	NUM
m-917	101	19	y	y	PROPN
m-917	101	20	b	b	PROPN
m-917	101	21	yy	yy	INTJ
m-917	101	22	yf	yf	PROPN
m-917	101	23			X
m-917	101	24			X
m-917	101	25	(	(	PUNCT
m-917	101	26	23	23	NUM
m-917	101	27	)	)	PUNCT
m-917	101	28	where	where	SCONJ
m-917	101	29	,	,	PUNCT
m-917	101	30	0	0	NUM
m-917	101	31	and	and	CCONJ
m-917	101	32	(	(	PUNCT
m-917	101	33	,	,	PUNCT
m-917	101	34	)	)	PUNCT
m-917	101	35	is	be	AUX
m-917	101	36	the	the	DET
m-917	101	37	beta	beta	ADJ
m-917	101	38	function	function	NOUN
m-917	101	39	;	;	PUNCT
m-917	101	40	its	its	PRON
m-917	101	41	formula	formula	NOUN
m-917	101	42	is	be	AUX
m-917	101	43	given	give	VERB
m-917	101	44	byb	byb	PROPN
m-917	101	45			PROPN
m-917	101	46			NUM
m-917	101	47			PROPN
m-917	101	48	dtttb	dtttb	NOUN
m-917	101	49	1	1	NUM
m-917	101	50	1	1	NUM
m-917	101	51	0	0	NUM
m-917	101	52	1	1	NUM
m-917	101	53	)	)	PUNCT
m-917	101	54	1	1	NUM
m-917	101	55	(	(	PUNCT
m-917	101	56	)	)	PUNCT
m-917	101	57	,	,	PUNCT
m-917	101	58	(	(	PUNCT
m-917	101	59			NOUN
m-917	101	60			ADJ
m-917	101	61			X
m-917	101	62			PROPN
m-917	101	63	(	(	PUNCT
m-917	101	64	24	24	NUM
m-917	101	65	)	)	PUNCT
m-917	101	66	the	the	DET
m-917	101	67	mean	mean	NOUN
m-917	101	68	and	and	CCONJ
m-917	101	69	variance	variance	NOUN
m-917	101	70	of	of	ADP
m-917	101	71	y	y	PROPN
m-917	101	72	are	be	AUX
m-917	101	73			NUM
m-917	101	74			X
m-917	101	75			NOUN
m-917	101	76			ADV
m-917	101	77	)(xe	)(xe	NOUN
m-917	101	78	(	(	PUNCT
m-917	101	79	25	25	NUM
m-917	101	80	)	)	PUNCT
m-917	101	81	and	and	CCONJ
m-917	101	82	2	2	NUM
m-917	101	83	2	2	NUM
m-917	101	84	)	)	PUNCT
m-917	101	85	)	)	PUNCT
m-917	101	86	(	(	PUNCT
m-917	101	87	1	1	NUM
m-917	101	88	(	(	PUNCT
m-917	101	89	)	)	PUNCT
m-917	101	90	(	(	PUNCT
m-917	101	91			PROPN
m-917	101	92			ADJ
m-917	101	93			PROPN
m-917	101	94			ADV
m-917	101	95	xvar	xvar	PROPN
m-917	101	96	(	(	PUNCT
m-917	101	97	26	26	NUM
m-917	101	98	)	)	PUNCT
m-917	101	99	the	the	DET
m-917	101	100	scale	scale	NOUN
m-917	101	101	(	(	PUNCT
m-917	101	102			PROPN
m-917	101	103	)	)	PUNCT
m-917	101	104	and	and	CCONJ
m-917	101	105	shape	shape	NOUN
m-917	101	106	(	(	PUNCT
m-917	101	107			NOUN
m-917	101	108	)	)	PUNCT
m-917	101	109	parameters	parameter	NOUN
m-917	101	110	of	of	ADP
m-917	101	111	a	a	DET
m-917	101	112	beta	beta	ADJ
m-917	101	113	distribution	distribution	NOUN
m-917	101	114	are	be	AUX
m-917	101	115	obtained	obtain	VERB
m-917	101	116	as	as	ADP
m-917	101	117	;	;	PUNCT
m-917	101	118	2	2	NUM
m-917	101	119	22	22	NUM
m-917	101	120	)	)	PUNCT
m-917	101	121	(	(	PUNCT
m-917	101	122			PROPN
m-917	101	123			NOUN
m-917	101	124			NOUN
m-917	101	125			VERB
m-917	101	126			NUM
m-917	101	127	(	(	PUNCT
m-917	101	128	27	27	NUM
m-917	101	129	)	)	PUNCT
m-917	101	130	and	and	CCONJ
m-917	101	131	2	2	NUM
m-917	101	132	22	22	NUM
m-917	101	133	)	)	PUNCT
m-917	101	134	1	1	NUM
m-917	101	135	)	)	PUNCT
m-917	101	136	(	(	PUNCT
m-917	101	137	(	(	PUNCT
m-917	101	138			PROPN
m-917	101	139			NOUN
m-917	101	140			NOUN
m-917	101	141			PROPN
m-917	102	1			NUM
m-917	102	2	(	(	PUNCT
m-917	102	3	28	28	NUM
m-917	102	4	)	)	PUNCT
m-917	102	5	4	4	NUM
m-917	102	6	results	result	VERB
m-917	102	7	4.1	4.1	NUM
m-917	102	8	simulated	simulate	VERB
m-917	102	9	data	datum	NOUN
m-917	102	10	of	of	ADP
m-917	102	11	different	different	ADJ
m-917	102	12	sample	sample	NOUN
m-917	102	13	sizes	size	NOUN
m-917	102	14	for	for	ADP
m-917	102	15	cca	cca	NOUN
m-917	102	16	and	and	CCONJ
m-917	102	17	rda	rda	NOUN
m-917	102	18	data	datum	NOUN
m-917	102	19	were	be	AUX
m-917	102	20	simulated	simulate	VERB
m-917	102	21	on	on	ADP
m-917	102	22	r	r	NOUN
m-917	102	23	-	-	PUNCT
m-917	102	24	studio	studio	NOUN
m-917	102	25	command	command	NOUN
m-917	102	26	window	window	NOUN
m-917	102	27	,	,	PUNCT
m-917	102	28	calling	call	VERB
m-917	102	29	for	for	ADP
m-917	102	30	the	the	DET
m-917	102	31	cca	cca	NOUN
m-917	102	32	and	and	CCONJ
m-917	102	33	rda	rda	NOUN
m-917	102	34	function	function	NOUN
m-917	102	35	for	for	ADP
m-917	102	36	gaussian	gaussian	ADJ
m-917	102	37	distribution	distribution	NOUN
m-917	102	38	,	,	PUNCT
m-917	102	39	gamma	gamma	NOUN
m-917	102	40	distribution	distribution	NOUN
m-917	102	41	,	,	PUNCT
m-917	102	42	exponential	exponential	ADJ
m-917	102	43	distribution	distribution	NOUN
m-917	102	44	and	and	CCONJ
m-917	102	45	beta	beta	ADJ
m-917	102	46	distribution	distribution	NOUN
m-917	102	47	for	for	ADP
m-917	102	48	samples	sample	NOUN
m-917	102	49	of	of	ADP
m-917	102	50	sizes	size	NOUN
m-917	102	51	10	10	NUM
m-917	102	52	,	,	PUNCT
m-917	102	53	20	20	NUM
m-917	102	54	,	,	PUNCT
m-917	102	55	30	30	NUM
m-917	102	56	,	,	PUNCT
m-917	102	57	40	40	NUM
m-917	102	58	,	,	PUNCT
m-917	102	59	50	50	NUM
m-917	102	60	,	,	PUNCT
m-917	102	61	60	60	NUM
m-917	102	62	and	and	CCONJ
m-917	102	63	70	70	NUM
m-917	102	64	.	.	PUNCT
m-917	103	1	three	three	NUM
m-917	103	2	variates	variate	NOUN
m-917	103	3	of	of	ADP
m-917	103	4	the	the	DET
m-917	103	5	response	response	NOUN
m-917	103	6	variable	variable	NOUN
m-917	103	7	(	(	PUNCT
m-917	103	8	y1	y1	PROPN
m-917	103	9	,	,	PUNCT
m-917	103	10	y2	y2	PROPN
m-917	103	11	,	,	PUNCT
m-917	103	12	y3	y3	PROPN
m-917	103	13	)	)	PUNCT
m-917	103	14	and	and	CCONJ
m-917	103	15	three	three	NUM
m-917	103	16	variates	variate	NOUN
m-917	103	17	of	of	ADP
m-917	103	18	independent	independent	ADJ
m-917	103	19	variables	variable	NOUN
m-917	103	20	(	(	PUNCT
m-917	103	21	x1	x1	PROPN
m-917	103	22	,	,	PUNCT
m-917	103	23	x2	x2	PROPN
m-917	103	24	,	,	PUNCT
m-917	103	25	x3	x3	ADJ
m-917	103	26	)	)	PUNCT
m-917	103	27	were	be	AUX
m-917	103	28	used	use	VERB
m-917	103	29	for	for	ADP
m-917	103	30	the	the	DET
m-917	103	31	simulation	simulation	NOUN
m-917	103	32	.	.	PUNCT
m-917	104	1	the	the	DET
m-917	104	2	means	mean	NOUN
m-917	104	3	used	use	VERB
m-917	104	4	for	for	ADP
m-917	104	5	response	response	NOUN
m-917	104	6	and	and	CCONJ
m-917	104	7	independent	independent	ADJ
m-917	104	8	variables	variable	NOUN
m-917	104	9	for	for	ADP
m-917	104	10	the	the	DET
m-917	104	11	gaussian	gaussian	ADJ
m-917	104	12	distribution	distribution	NOUN
m-917	104	13	were	be	AUX
m-917	104	14	80	80	NUM
m-917	104	15	,	,	PUNCT
m-917	104	16	85	85	NUM
m-917	104	17	and	and	CCONJ
m-917	104	18	90,whereas	90,wherea	NOUN
m-917	104	19	their	their	PRON
m-917	104	20	standard	standard	ADJ
m-917	104	21	deviations	deviation	NOUN
m-917	104	22	were	be	AUX
m-917	104	23	10	10	NUM
m-917	104	24	,	,	PUNCT
m-917	104	25	12	12	NUM
m-917	104	26	and	and	CCONJ
m-917	104	27	15	15	NUM
m-917	104	28	.	.	PUNCT
m-917	105	1	the	the	DET
m-917	105	2	alpha	alpha	ADJ
m-917	105	3	values	value	NOUN
m-917	105	4	used	use	VERB
m-917	105	5	for	for	ADP
m-917	105	6	response	response	NOUN
m-917	105	7	and	and	CCONJ
m-917	105	8	independent	independent	ADJ
m-917	105	9	variables	variable	NOUN
m-917	105	10	for	for	ADP
m-917	105	11	the	the	DET
m-917	105	12	gamma	gamma	NOUN
m-917	105	13	distribution	distribution	NOUN
m-917	105	14	were	be	AUX
m-917	105	15	80	80	NUM
m-917	105	16	,	,	PUNCT
m-917	105	17	85	85	NUM
m-917	105	18	and	and	CCONJ
m-917	105	19	90	90	NUM
m-917	105	20	whereas	whereas	SCONJ
m-917	105	21	their	their	PRON
m-917	105	22	theta	theta	NOUN
m-917	105	23	values	value	NOUN
m-917	105	24	were	be	AUX
m-917	105	25	40	40	NUM
m-917	105	26	,	,	PUNCT
m-917	105	27	43	43	NUM
m-917	105	28	and	and	CCONJ
m-917	105	29	45	45	NUM
m-917	105	30	.	.	PUNCT
m-917	106	1	the	the	DET
m-917	106	2	rates	rate	NOUN
m-917	106	3	parameters	parameter	NOUN
m-917	106	4	used	use	VERB
m-917	106	5	for	for	ADP
m-917	106	6	response	response	NOUN
m-917	106	7	and	and	CCONJ
m-917	106	8	independent	independent	ADJ
m-917	106	9	variables	variable	NOUN
m-917	106	10	for	for	ADP
m-917	106	11	the	the	DET
m-917	106	12	exponential	exponential	ADJ
m-917	106	13	distribution	distribution	NOUN
m-917	106	14	were	be	AUX
m-917	106	15	0.5	0.5	NUM
m-917	106	16	.	.	PUNCT
m-917	106	17	0.7	0.7	NUM
m-917	106	18	and	and	CCONJ
m-917	106	19	0.9	0.9	NUM
m-917	106	20	;	;	PUNCT
m-917	106	21	whereas	whereas	SCONJ
m-917	106	22	the	the	DET
m-917	106	23	shape	shape	NOUN
m-917	106	24	parameters	parameter	NOUN
m-917	106	25	used	use	VERB
m-917	106	26	for	for	ADP
m-917	106	27	the	the	DET
m-917	106	28	beta	beta	ADJ
m-917	106	29	distribution	distribution	NOUN
m-917	106	30	were	be	AUX
m-917	106	31	taking	take	VERB
m-917	106	32	from	from	ADP
m-917	106	33	values	value	NOUN
m-917	106	34	from	from	ADP
m-917	106	35	2	2	NUM
m-917	106	36	to	to	ADP
m-917	106	37	5	5	NUM
m-917	106	38	and	and	CCONJ
m-917	106	39	the	the	DET
m-917	106	40	results	result	NOUN
m-917	106	41	obtained	obtain	VERB
m-917	106	42	are	be	AUX
m-917	106	43	summarized	summarize	VERB
m-917	106	44	in	in	ADP
m-917	106	45	table	table	NOUN
m-917	106	46	1	1	NUM
m-917	106	47	.	.	PUNCT
m-917	106	48	ijo	ijo	PROPN
m-917	106	49	journals	journal	NOUN
m-917	106	50	volume	volume	NOUN
m-917	106	51	07	07	NUM
m-917	107	1	|	|	NOUN
m-917	107	2	issue	issue	NOUN
m-917	107	3	08	08	NUM
m-917	108	1	|	|	CCONJ
m-917	108	2	august	august	PROPN
m-917	108	3	2024	2024	NUM
m-917	108	4	|	|	ADV
m-917	108	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	108	6	8	8	NUM
m-917	108	7	ijo	ijo	PROPN
m-917	108	8	international	international	ADJ
m-917	108	9	journal	journal	PROPN
m-917	108	10	of	of	ADP
m-917	108	11	mathematics	mathematics	PROPN
m-917	108	12	(	(	PUNCT
m-917	108	13	issn	issn	PROPN
m-917	108	14	:	:	PUNCT
m-917	108	15	2992	2992	NUM
m-917	108	16	-	-	SYM
m-917	108	17	4421	4421	NUM
m-917	108	18	)	)	PUNCT
m-917	108	19	osuagwu	osuagwu	ADV
m-917	108	20	,	,	PUNCT
m-917	108	21	chidimma	chidimma	PROPN
m-917	108	22	udo	udo	PROPN
m-917	108	23	.	.	PROPN
m-917	108	24	*	*	PROPN
m-917	109	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	109	2	volume	volume	NOUN
m-917	109	3	07	07	NUM
m-917	109	4	||	||	NOUN
m-917	109	5	issue	issue	NOUN
m-917	109	6	08	08	NUM
m-917	109	7	||	||	NOUN
m-917	109	8	august	august	PROPN
m-917	109	9	,	,	PUNCT
m-917	109	10	2024	2024	NUM
m-917	109	11	||	||	NOUN
m-917	109	12	performance	performance	NOUN
m-917	109	13	evaluation	evaluation	NOUN
m-917	109	14	of	of	ADP
m-917	109	15	canonical	canonical	ADJ
m-917	109	16	correlation	correlation	NOUN
m-917	109	17	analysis	analysis	NOUN
m-917	109	18	and	and	CCONJ
m-917	109	19	redundancy	redundancy	NOUN
m-917	109	20	analysisusing	analysisuse	VERB
m-917	109	21	gaussian	gaussian	NOUN
m-917	109	22	,	,	PUNCT
m-917	109	23	gamma	gamma	NOUN
m-917	109	24	,	,	PUNCT
m-917	109	25	exponential	exponential	NOUN
m-917	109	26	and	and	CCONJ
m-917	109	27	beta	beta	NOUN
m-917	109	28	distributed	distribute	VERB
m-917	109	29	data	data	NOUN
m-917	109	30	table	table	NOUN
m-917	109	31	1	1	NUM
m-917	109	32	:	:	PUNCT
m-917	109	33	summary	summary	NOUN
m-917	109	34	results	result	VERB
m-917	109	35	from	from	ADP
m-917	109	36	the	the	DET
m-917	109	37	four	four	NUM
m-917	109	38	distributions	distribution	NOUN
m-917	109	39	for	for	ADP
m-917	109	40	different	different	ADJ
m-917	109	41	sample	sample	NOUN
m-917	109	42	sizes	size	NOUN
m-917	109	43	distribution	distribution	NOUN
m-917	109	44	correlation	correlation	NOUN
m-917	109	45	eigen	eigen	NOUN
m-917	109	46	-	-	PUNCT
m-917	109	47	value	value	NOUN
m-917	109	48	x	x	NOUN
m-917	109	49	-	-	NOUN
m-917	109	50	mean	mean	ADJ
m-917	109	51	vector	vector	NOUN
m-917	109	52	y	y	ADJ
m-917	109	53	-	-	PUNCT
m-917	109	54	mean	mean	PROPN
m-917	109	55	vector	vector	NOUN
m-917	109	56	sample	sample	NOUN
m-917	109	57	cca	cca	PROPN
m-917	109	58	rda	rda	NOUN
m-917	109	59	cca	cca	NOUN
m-917	109	60	rda	rda	NOUN
m-917	109	61	cca	cca	NOUN
m-917	109	62	rda	rda	NOUN
m-917	109	63	gaussian	gaussian	NOUN
m-917	109	64	10	10	NUM
m-917	109	65	0.9609	0.9609	NUM
m-917	109	66	0.7180	0.7180	NUM
m-917	109	67	81.6417	81.6417	NUM
m-917	109	68	81.6417	81.6417	NUM
m-917	109	69	78.5301	78.5301	NUM
m-917	109	70	78.5301	78.5301	NUM
m-917	109	71	0.5303	0.5303	NUM
m-917	109	72	0.2717	0.2717	NUM
m-917	109	73	75.8878	75.8878	NUM
m-917	109	74	75.8878	75.8878	NUM
m-917	109	75	89.9215	89.9215	NUM
m-917	109	76	89.9215	89.9215	NUM
m-917	109	77	0.4498	0.4498	NUM
m-917	109	78	0.0020	0.0020	NUM
m-917	109	79	89.3103	89.3103	NUM
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m-917	126	25	exponential	exponential	NOUN
m-917	126	26	and	and	CCONJ
m-917	126	27	beta	beta	NOUN
m-917	126	28	distributed	distribute	VERB
m-917	126	29	data	datum	NOUN
m-917	126	30	70	70	NUM
m-917	126	31	0.0525	0.0525	NUM
m-917	126	32	0.0003	0.0003	NUM
m-917	126	33	0.6028	0.6028	NUM
m-917	126	34	0.6028	0.6028	NUM
m-917	126	35	0.5580	0.5580	NUM
m-917	126	36	0.5580	0.5580	NUM
m-917	126	37	sd	sd	ADP
m-917	126	38	=	=	NOUN
m-917	126	39	0.1360	0.1360	NUM
m-917	126	40	sd	sd	NOUN
m-917	126	41	=	=	SYM
m-917	126	42	0.0420	0.0420	NUM
m-917	126	43	table	table	NOUN
m-917	126	44	1	1	NUM
m-917	126	45	shows	show	VERB
m-917	126	46	the	the	DET
m-917	126	47	standard	standard	ADJ
m-917	126	48	deviation	deviation	NOUN
m-917	126	49	of	of	ADP
m-917	126	50	the	the	DET
m-917	126	51	correlations	correlation	NOUN
m-917	126	52	and	and	CCONJ
m-917	126	53	eigenvalues	eigenvalue	VERB
m-917	126	54	for	for	ADP
m-917	126	55	cca	cca	NOUN
m-917	126	56	and	and	CCONJ
m-917	126	57	rda	rda	NOUN
m-917	126	58	respectively.it	respectively.it	NUM
m-917	126	59	can	can	AUX
m-917	126	60	be	be	AUX
m-917	126	61	observed	observe	VERB
m-917	126	62	that	that	SCONJ
m-917	126	63	the	the	DET
m-917	126	64	standard	standard	ADJ
m-917	126	65	deviation	deviation	NOUN
m-917	126	66	of	of	ADP
m-917	126	67	the	the	DET
m-917	126	68	rda	rda	NOUN
m-917	126	69	is	be	AUX
m-917	126	70	lower	low	ADJ
m-917	126	71	than	than	ADP
m-917	126	72	that	that	PRON
m-917	126	73	of	of	ADP
m-917	126	74	cca	cca	PROPN
m-917	126	75	except	except	SCONJ
m-917	126	76	for	for	ADP
m-917	126	77	the	the	DET
m-917	126	78	cases	case	NOUN
m-917	126	79	of	of	ADP
m-917	126	80	sample	sample	NOUN
m-917	126	81	sizes	size	NOUN
m-917	126	82	10	10	NUM
m-917	126	83	and	and	CCONJ
m-917	126	84	20	20	NUM
m-917	126	85	for	for	ADP
m-917	126	86	gaussian	gaussian	ADJ
m-917	126	87	distribution	distribution	NOUN
m-917	126	88	;	;	PUNCT
m-917	126	89	sample	sample	NOUN
m-917	126	90	size	size	NOUN
m-917	126	91	70	70	NUM
m-917	126	92	for	for	ADP
m-917	126	93	gamma	gamma	NOUN
m-917	126	94	distribution	distribution	NOUN
m-917	126	95	,	,	PUNCT
m-917	126	96	sample	sample	NOUN
m-917	126	97	size	size	NOUN
m-917	126	98	10	10	NUM
m-917	126	99	for	for	ADP
m-917	126	100	exponential	exponential	ADJ
m-917	126	101	distribution	distribution	NOUN
m-917	126	102	and	and	CCONJ
m-917	126	103	sample	sample	NOUN
m-917	126	104	size	size	NOUN
m-917	126	105	20	20	NUM
m-917	126	106	for	for	ADP
m-917	126	107	beta	beta	ADJ
m-917	126	108	distribution	distribution	NOUN
m-917	126	109	,	,	PUNCT
m-917	126	110	but	but	CCONJ
m-917	126	111	there	there	PRON
m-917	126	112	is	be	VERB
m-917	126	113	need	need	NOUN
m-917	126	114	to	to	PART
m-917	126	115	examine	examine	VERB
m-917	126	116	if	if	SCONJ
m-917	126	117	the	the	DET
m-917	126	118	differencesare	differencesare	NOUN
m-917	126	119	significant	significant	ADJ
m-917	126	120	.	.	PUNCT
m-917	127	1	it	it	PRON
m-917	127	2	is	be	AUX
m-917	127	3	also	also	ADV
m-917	127	4	observed	observe	VERB
m-917	127	5	that	that	SCONJ
m-917	127	6	the	the	DET
m-917	127	7	x	x	X
m-917	127	8	and	and	CCONJ
m-917	127	9	y	y	NOUN
m-917	127	10	-	-	PUNCT
m-917	127	11	variates	variate	NOUN
m-917	127	12	of	of	ADP
m-917	127	13	the	the	DET
m-917	127	14	cca	cca	NOUN
m-917	127	15	and	and	CCONJ
m-917	127	16	rda	rda	NOUN
m-917	127	17	do	do	AUX
m-917	127	18	not	not	PART
m-917	127	19	differ	differ	VERB
m-917	127	20	.	.	PUNCT
m-917	128	1	4.2	4.2	NUM
m-917	128	2	model	model	NOUN
m-917	128	3	performance	performance	NOUN
m-917	128	4	adequacy	adequacy	NOUN
m-917	128	5	of	of	ADP
m-917	128	6	cca	cca	NOUN
m-917	128	7	and	and	CCONJ
m-917	128	8	rda	rda	NOUN
m-917	128	9	techniques	technique	NOUN
m-917	128	10	table	table	NOUN
m-917	128	11	2	2	NUM
m-917	128	12	:	:	PUNCT
m-917	128	13	summary	summary	NOUN
m-917	128	14	of	of	ADP
m-917	128	15	decision	decision	NOUN
m-917	128	16	for	for	ADP
m-917	128	17	testing	testing	NOUN
m-917	128	18	sd	sd	ADP
m-917	128	19	values	value	NOUN
m-917	128	20	for	for	ADP
m-917	128	21	cca	cca	NOUN
m-917	128	22	and	and	CCONJ
m-917	128	23	rda	rda	NOUN
m-917	128	24	sd	sd	NOUN
m-917	128	25	values	value	NOUN
m-917	128	26	ranks	rank	VERB
m-917	128	27	z	z	NOUN
m-917	128	28	p	p	ADJ
m-917	128	29	-	-	PUNCT
m-917	128	30	value	value	NOUN
m-917	128	31	decision	decision	NOUN
m-917	128	32	distribution	distribution	NOUN
m-917	128	33	sample	sample	NOUN
m-917	128	34	cca	cca	PROPN
m-917	128	35	rda	rda	NOUN
m-917	128	36	cca	cca	NOUN
m-917	128	37	rda	rda	NOUN
m-917	128	38	gaussian	gaussian	NOUN
m-917	128	39	10	10	NUM
m-917	128	40	0.2748	0.2748	NUM
m-917	128	41	0.3616	0.3616	NUM
m-917	128	42	12	12	NUM
m-917	128	43	14	14	NUM
m-917	128	44	0.958	0.958	NUM
m-917	128	45	0.338	0.338	NUM
m-917	128	46	do	do	AUX
m-917	128	47	not	not	PART
m-917	128	48	reject	reject	VERB
m-917	128	49	h0	h0	ADJ
m-917	128	50	20	20	NUM
m-917	128	51	0.1792	0.1792	NUM
m-917	128	52	0.2855	0.2855	NUM
m-917	128	53	10	10	NUM
m-917	128	54	13	13	NUM
m-917	128	55	30	30	NUM
m-917	128	56	0.2041	0.2041	NUM
m-917	128	57	0.1614	0.1614	NUM
m-917	128	58	11	11	NUM
m-917	128	59	8	8	NUM
m-917	128	60	40	40	NUM
m-917	128	61	0.1278	0.1278	NUM
m-917	128	62	0.0737	0.0737	NUM
m-917	128	63	6	6	NUM
m-917	128	64	3	3	NUM
m-917	128	65	50	50	NUM
m-917	128	66	0.1752	0.1752	NUM
m-917	128	67	0.0397	0.0397	NUM
m-917	128	68	9	9	NUM
m-917	128	69	2	2	NUM
m-917	128	70	60	60	NUM
m-917	128	71	0.158	0.158	NUM
m-917	128	72	0.0316	0.0316	NUM
m-917	128	73	7	7	NUM
m-917	128	74	1	1	NUM
m-917	128	75	70	70	NUM
m-917	128	76	0.1071	0.1071	NUM
m-917	128	77	0.0843	0.0843	NUM
m-917	128	78	5	5	NUM
m-917	128	79	4	4	NUM
m-917	128	80	gamma	gamma	NOUN
m-917	128	81	10	10	NUM
m-917	128	82	0.2673	0.2673	NUM
m-917	128	83	0.2558	0.2558	NUM
m-917	128	84	14	14	NUM
m-917	128	85	12	12	NUM
m-917	128	86	1.725	1.725	NUM
m-917	128	87	0.085	0.085	NUM
m-917	128	88	do	do	AUX
m-917	128	89	not	not	PART
m-917	128	90	reject	reject	VERB
m-917	128	91	h0	h0	ADJ
m-917	128	92	20	20	NUM
m-917	128	93	0.1705	0.1705	NUM
m-917	128	94	0.1413	0.1413	NUM
m-917	128	95	10	10	NUM
m-917	128	96	8	8	NUM
m-917	128	97	30	30	NUM
m-917	128	98	0.2661	0.2661	NUM
m-917	128	99	0.0698	0.0698	NUM
m-917	128	100	13	13	NUM
m-917	128	101	4	4	NUM
m-917	128	102	40	40	NUM
m-917	128	103	0.2080	0.2080	NUM
m-917	128	104	0.0243	0.0243	NUM
m-917	128	105	11	11	NUM
m-917	128	106	2	2	NUM
m-917	128	107	50	50	NUM
m-917	128	108	0.1435	0.1435	NUM
m-917	128	109	0.0971	0.0971	NUM
m-917	128	110	9	9	NUM
m-917	128	111	5	5	NUM
m-917	128	112	60	60	NUM
m-917	128	113	0.1095	0.1095	NUM
m-917	128	114	0.0225	0.0225	NUM
m-917	128	115	6	6	NUM
m-917	128	116	1	1	NUM
m-917	128	117	70	70	NUM
m-917	128	118	0.0649	0.0649	NUM
m-917	128	119	0.1338	0.1338	NUM
m-917	128	120	3	3	NUM
m-917	128	121	7	7	NUM
m-917	128	122	exponential	exponential	NOUN
m-917	128	123	10	10	NUM
m-917	129	1	0.1461	0.1461	NUM
m-917	129	2	0.4563	0.4563	NUM
m-917	129	3	9	9	NUM
m-917	129	4	14	14	NUM
m-917	129	5	1.469	1.469	NUM
m-917	129	6	0.142	0.142	NUM
m-917	129	7	do	do	AUX
m-917	129	8	not	not	PART
m-917	129	9	reject	reject	VERB
m-917	129	10	h0	h0	NOUN
m-917	129	11	20	20	NUM
m-917	129	12	0.2117	0.2117	NUM
m-917	129	13	0.1567	0.1567	NUM
m-917	129	14	12	12	NUM
m-917	129	15	10	10	NUM
m-917	129	16	30	30	NUM
m-917	129	17	0.2198	0.2198	NUM
m-917	129	18	0.1134	0.1134	NUM
m-917	129	19	13	13	NUM
m-917	129	20	5	5	NUM
m-917	129	21	40	40	NUM
m-917	129	22	0.1780	0.1780	NUM
m-917	129	23	0.0267	0.0267	NUM
m-917	129	24	11	11	NUM
m-917	129	25	2	2	NUM
m-917	129	26	50	50	NUM
m-917	129	27	0.1397	0.1397	NUM
m-917	129	28	0.1340	0.1340	NUM
m-917	129	29	7	7	NUM
m-917	129	30	6	6	NUM
m-917	129	31	60	60	NUM
m-917	129	32	0.1035	0.1035	NUM
m-917	129	33	0.0803	0.0803	NUM
m-917	129	34	4	4	NUM
m-917	129	35	3	3	NUM
m-917	129	36	70	70	NUM
m-917	129	37	0.1445	0.1445	NUM
m-917	129	38	0.0130	0.0130	NUM
m-917	129	39	8	8	NUM
m-917	129	40	1	1	NUM
m-917	129	41	beta	beta	NOUN
m-917	129	42	10	10	NUM
m-917	129	43	0.3631	0.3631	NUM
m-917	129	44	0.1251	0.1251	NUM
m-917	129	45	14	14	NUM
m-917	129	46	5	5	NUM
m-917	129	47	2.108	2.108	NUM
m-917	129	48	0.035	0.035	NUM
m-917	129	49	reject	reject	NOUN
m-917	129	50	h0	h0	PROPN
m-917	129	51	20	20	NUM
m-917	129	52	0.1451	0.1451	NUM
m-917	129	53	0.2697	0.2697	NUM
m-917	129	54	7	7	NUM
m-917	129	55	13	13	NUM
m-917	129	56	30	30	NUM
m-917	129	57	0.1964	0.1964	NUM
m-917	129	58	0.1656	0.1656	NUM
m-917	129	59	10	10	NUM
m-917	129	60	8	8	NUM
m-917	129	61	40	40	NUM
m-917	129	62	0.1922	0.1922	NUM
m-917	129	63	0.0553	0.0553	NUM
m-917	129	64	9	9	NUM
m-917	129	65	3	3	NUM
m-917	129	66	50	50	NUM
m-917	129	67	0.2594	0.2594	NUM
m-917	129	68	0.0361	0.0361	NUM
m-917	129	69	12	12	NUM
m-917	129	70	1	1	NUM
m-917	129	71	60	60	NUM
m-917	129	72	0.2104	0.2104	NUM
m-917	129	73	0.0876	0.0876	NUM
m-917	129	74	11	11	NUM
m-917	129	75	4	4	NUM
m-917	129	76	70	70	NUM
m-917	129	77	0.1360	0.1360	NUM
m-917	129	78	0.0420	0.0420	NUM
m-917	129	79	6	6	NUM
m-917	129	80	2	2	NUM
m-917	129	81	table	table	NOUN
m-917	129	82	2	2	NUM
m-917	129	83	shows	show	VERB
m-917	129	84	the	the	DET
m-917	129	85	wilcoxon	wilcoxon	PROPN
m-917	129	86	rank	rank	NOUN
m-917	129	87	sum	sum	NOUN
m-917	129	88	testsignificance	testsignificance	NOUN
m-917	129	89	difference	difference	NOUN
m-917	129	90	result	result	NOUN
m-917	129	91	for	for	ADP
m-917	129	92	the	the	DET
m-917	129	93	four	four	NUM
m-917	129	94	continuous	continuous	ADJ
m-917	129	95	distributions	distribution	NOUN
m-917	129	96	employed	employ	VERB
m-917	129	97	in	in	ADP
m-917	129	98	this	this	DET
m-917	129	99	study	study	NOUN
m-917	129	100	.	.	PUNCT
m-917	130	1	the	the	DET
m-917	130	2	result	result	NOUN
m-917	130	3	reveals	reveal	VERB
m-917	130	4	that	that	SCONJ
m-917	130	5	there	there	PRON
m-917	130	6	is	be	VERB
m-917	130	7	no	no	DET
m-917	130	8	significant	significant	ADJ
m-917	130	9	difference	difference	NOUN
m-917	130	10	in	in	ADP
m-917	130	11	ijo	ijo	PROPN
m-917	130	12	journals	journal	NOUN
m-917	130	13	volume	volume	NOUN
m-917	130	14	07	07	NUM
m-917	130	15	|	|	NOUN
m-917	130	16	issue	issue	NOUN
m-917	130	17	08	08	NUM
m-917	131	1	|	|	CCONJ
m-917	131	2	august	august	PROPN
m-917	131	3	2024	2024	NUM
m-917	131	4	|	|	ADV
m-917	131	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	131	6	11	11	NUM
m-917	131	7	ijo	ijo	PROPN
m-917	131	8	international	international	PROPN
m-917	131	9	journal	journal	PROPN
m-917	131	10	of	of	ADP
m-917	131	11	mathematics	mathematics	PROPN
m-917	131	12	(	(	PUNCT
m-917	131	13	issn	issn	PROPN
m-917	131	14	:	:	PUNCT
m-917	131	15	2992	2992	NUM
m-917	131	16	-	-	SYM
m-917	131	17	4421	4421	NUM
m-917	131	18	)	)	PUNCT
m-917	131	19	osuagwu	osuagwu	ADV
m-917	131	20	,	,	PUNCT
m-917	131	21	chidimma	chidimma	PROPN
m-917	131	22	udo	udo	PROPN
m-917	131	23	.	.	PROPN
m-917	131	24	*	*	PROPN
m-917	132	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	132	2	volume	volume	NOUN
m-917	132	3	07	07	NUM
m-917	132	4	||	||	NOUN
m-917	132	5	issue	issue	NOUN
m-917	132	6	08	08	NUM
m-917	132	7	||	||	NOUN
m-917	132	8	august	august	PROPN
m-917	132	9	,	,	PUNCT
m-917	132	10	2024	2024	NUM
m-917	132	11	||	||	NOUN
m-917	132	12	performance	performance	NOUN
m-917	132	13	evaluation	evaluation	NOUN
m-917	132	14	of	of	ADP
m-917	132	15	canonical	canonical	ADJ
m-917	132	16	correlation	correlation	NOUN
m-917	132	17	analysis	analysis	NOUN
m-917	132	18	and	and	CCONJ
m-917	132	19	redundancy	redundancy	NOUN
m-917	132	20	analysisusing	analysisuse	VERB
m-917	132	21	gaussian	gaussian	NOUN
m-917	132	22	,	,	PUNCT
m-917	132	23	gamma	gamma	NOUN
m-917	132	24	,	,	PUNCT
m-917	132	25	exponential	exponential	NOUN
m-917	132	26	and	and	CCONJ
m-917	132	27	beta	beta	NOUN
m-917	132	28	distributed	distribute	VERB
m-917	132	29	data	datum	NOUN
m-917	132	30	the	the	DET
m-917	132	31	standard	standard	ADJ
m-917	132	32	deviation	deviation	NOUN
m-917	132	33	of	of	ADP
m-917	132	34	the	the	DET
m-917	132	35	correlations	correlation	NOUN
m-917	132	36	and	and	CCONJ
m-917	132	37	eigenvalues	eigenvalue	VERB
m-917	132	38	for	for	ADP
m-917	132	39	the	the	DET
m-917	132	40	methods	method	NOUN
m-917	132	41	for	for	ADP
m-917	132	42	gaussian	gaussian	NOUN
m-917	132	43	,	,	PUNCT
m-917	132	44	gamma	gamma	NOUN
m-917	132	45	and	and	CCONJ
m-917	132	46	exponential	exponential	ADJ
m-917	132	47	distributions	distribution	NOUN
m-917	132	48	.	.	PUNCT
m-917	133	1	this	this	PRON
m-917	133	2	implies	imply	VERB
m-917	133	3	that	that	SCONJ
m-917	133	4	the	the	DET
m-917	133	5	relative	relative	ADJ
m-917	133	6	efficiency	efficiency	NOUN
m-917	133	7	of	of	ADP
m-917	133	8	the	the	DET
m-917	133	9	cca	cca	NOUN
m-917	133	10	and	and	CCONJ
m-917	133	11	rda	rda	NOUN
m-917	133	12	is	be	AUX
m-917	133	13	the	the	DET
m-917	133	14	same	same	ADJ
m-917	133	15	for	for	ADP
m-917	133	16	the	the	DET
m-917	133	17	gaussian	gaussian	NOUN
m-917	133	18	,	,	PUNCT
m-917	133	19	gamma	gamma	NOUN
m-917	133	20	and	and	CCONJ
m-917	133	21	exponential	exponential	ADJ
m-917	133	22	distributed	distribute	VERB
m-917	133	23	data	datum	NOUN
m-917	133	24	.	.	PUNCT
m-917	134	1	on	on	ADP
m-917	134	2	the	the	DET
m-917	134	3	other	other	ADJ
m-917	134	4	hand	hand	NOUN
m-917	134	5	,	,	PUNCT
m-917	134	6	the	the	DET
m-917	134	7	result	result	NOUN
m-917	134	8	reveals	reveal	VERB
m-917	134	9	thatthere	thatthere	ADJ
m-917	134	10	is	be	AUX
m-917	134	11	significant	significant	ADJ
m-917	134	12	difference	difference	NOUN
m-917	134	13	in	in	ADP
m-917	134	14	the	the	DET
m-917	134	15	standard	standard	ADJ
m-917	134	16	deviation	deviation	NOUN
m-917	134	17	of	of	ADP
m-917	134	18	the	the	DET
m-917	134	19	correlations	correlation	NOUN
m-917	134	20	and	and	CCONJ
m-917	134	21	eigenvalues	eigenvalue	VERB
m-917	134	22	for	for	ADP
m-917	134	23	the	the	DET
m-917	134	24	methods	method	NOUN
m-917	134	25	for	for	ADP
m-917	134	26	beta	beta	ADJ
m-917	134	27	distribution	distribution	NOUN
m-917	134	28	.	.	PUNCT
m-917	135	1	this	this	PRON
m-917	135	2	implies	imply	VERB
m-917	135	3	that	that	SCONJ
m-917	135	4	rda	rda	NOUN
m-917	135	5	is	be	AUX
m-917	135	6	more	more	ADV
m-917	135	7	efficient	efficient	ADJ
m-917	135	8	than	than	ADP
m-917	135	9	that	that	PRON
m-917	135	10	of	of	ADP
m-917	135	11	cca	cca	PROPN
m-917	135	12	for	for	ADP
m-917	135	13	the	the	DET
m-917	135	14	beta	beta	NOUN
m-917	135	15	distributed	distribute	VERB
m-917	135	16	data	datum	NOUN
m-917	135	17	.	.	PUNCT
m-917	136	1	4	4	NUM
m-917	136	2	conclusion	conclusion	NOUN
m-917	136	3	this	this	DET
m-917	136	4	study	study	NOUN
m-917	136	5	used	use	VERB
m-917	136	6	canonical	canonical	ADJ
m-917	136	7	correlation	correlation	NOUN
m-917	136	8	and	and	CCONJ
m-917	136	9	redundancy	redundancy	NOUN
m-917	136	10	analysis	analysis	NOUN
m-917	136	11	via	via	ADP
m-917	136	12	four	four	NUM
m-917	136	13	continuous	continuous	ADJ
m-917	136	14	distributions	distribution	NOUN
m-917	136	15	(	(	PUNCT
m-917	136	16	gaussian	gaussian	NOUN
m-917	136	17	,	,	PUNCT
m-917	136	18	gamma	gamma	NOUN
m-917	136	19	,	,	PUNCT
m-917	136	20	exponential	exponential	NOUN
m-917	136	21	and	and	CCONJ
m-917	136	22	beta	beta	NOUN
m-917	136	23	)	)	PUNCT
m-917	136	24	in	in	ADP
m-917	136	25	order	order	NOUN
m-917	136	26	to	to	PART
m-917	136	27	assess	assess	VERB
m-917	136	28	their	their	PRON
m-917	136	29	performances	performance	NOUN
m-917	136	30	.	.	PUNCT
m-917	137	1	the	the	DET
m-917	137	2	adequacy	adequacy	NOUN
m-917	137	3	of	of	ADP
m-917	137	4	the	the	DET
m-917	137	5	cca	cca	NOUN
m-917	137	6	and	and	CCONJ
m-917	137	7	rda	rda	NOUN
m-917	137	8	was	be	AUX
m-917	137	9	evaluated	evaluate	VERB
m-917	137	10	with	with	ADP
m-917	137	11	wilcoxon	wilcoxon	PROPN
m-917	137	12	rank	rank	PROPN
m-917	137	13	sum	sum	PROPN
m-917	137	14	test	test	NOUN
m-917	137	15	;	;	PUNCT
m-917	137	16	and	and	CCONJ
m-917	137	17	the	the	DET
m-917	137	18	study	study	NOUN
m-917	137	19	concluded	conclude	VERB
m-917	137	20	thatrda	thatrda	PROPN
m-917	137	21	is	be	AUX
m-917	137	22	more	more	ADV
m-917	137	23	efficient	efficient	ADJ
m-917	137	24	than	than	ADP
m-917	137	25	that	that	PRON
m-917	137	26	of	of	ADP
m-917	137	27	cca	cca	PROPN
m-917	137	28	for	for	ADP
m-917	137	29	the	the	DET
m-917	137	30	beta	beta	NOUN
m-917	137	31	distributed	distribute	VERB
m-917	137	32	data	datum	NOUN
m-917	137	33	,	,	PUNCT
m-917	137	34	while	while	SCONJ
m-917	137	35	for	for	ADP
m-917	137	36	gaussian	gaussian	NOUN
m-917	137	37	,	,	PUNCT
m-917	137	38	gamma	gamma	NOUN
m-917	137	39	and	and	CCONJ
m-917	137	40	exponential	exponential	ADJ
m-917	137	41	distributed	distribute	VERB
m-917	137	42	data	datum	NOUN
m-917	137	43	,	,	PUNCT
m-917	137	44	the	the	DET
m-917	137	45	relative	relative	ADJ
m-917	137	46	efficiency	efficiency	NOUN
m-917	137	47	of	of	ADP
m-917	137	48	the	the	DET
m-917	137	49	cca	cca	NOUN
m-917	137	50	and	and	CCONJ
m-917	137	51	rda	rda	NOUN
m-917	137	52	is	be	AUX
m-917	137	53	the	the	DET
m-917	137	54	same	same	ADJ
m-917	137	55	.	.	PUNCT
m-917	138	1	the	the	DET
m-917	138	2	study	study	NOUN
m-917	138	3	also	also	ADV
m-917	138	4	concluded	conclude	VERB
m-917	138	5	that	that	SCONJ
m-917	138	6	the	the	DET
m-917	138	7	x	x	NOUN
m-917	138	8	-	-	NOUN
m-917	138	9	variates	variate	NOUN
m-917	138	10	of	of	ADP
m-917	138	11	the	the	DET
m-917	138	12	cca	cca	NOUN
m-917	138	13	and	and	CCONJ
m-917	138	14	rda	rda	NOUN
m-917	138	15	do	do	AUX
m-917	138	16	not	not	PART
m-917	138	17	differ	differ	VERB
m-917	138	18	.	.	PUNCT
m-917	139	1	references	reference	NOUN
m-917	139	2	el	el	PROPN
m-917	139	3	-	-	PUNCT
m-917	139	4	morshedy	morshedy	ADJ
m-917	139	5	,	,	PUNCT
m-917	139	6	m.	m.	NOUN
m-917	139	7	,	,	PUNCT
m-917	139	8	alshammari	alshammari	PROPN
m-917	139	9	,	,	PUNCT
m-917	139	10	f.s	f.s	PROPN
m-917	139	11	.	.	PROPN
m-917	139	12	,	,	PUNCT
m-917	139	13	hamed	hamed	PROPN
m-917	139	14	,	,	PUNCT
m-917	139	15	y.	y.	PROPN
m-917	139	16	s.	s.	PROPN
m-917	139	17	,	,	PUNCT
m-917	139	18	eliwa	eliwa	PROPN
m-917	139	19	,	,	PUNCT
m-917	139	20	m.s	m.s	PROPN
m-917	139	21	.	.	PROPN
m-917	139	22	&	&	CCONJ
m-917	139	23	yousof	yousof	PROPN
m-917	139	24	,	,	PUNCT
m-917	139	25	h.m	h.m	PROPN
m-917	139	26	.	.	PROPN
m-917	140	1	(	(	PUNCT
m-917	140	2	2021).a	2021).a	NUM
m-917	140	3	new	new	ADJ
m-917	140	4	family	family	NOUN
m-917	140	5	of	of	ADP
m-917	140	6	continuous	continuous	ADJ
m-917	140	7	probability	probability	NOUN
m-917	140	8	distributions.entropy	distributions.entropy	PROPN
m-917	140	9	,	,	PUNCT
m-917	140	10	23(194	23(194	PROPN
m-917	140	11	)	)	PUNCT
m-917	140	12	,	,	PUNCT
m-917	140	13	1–24	1–24	PROPN
m-917	140	14	.	.	PUNCT
m-917	141	1	garcía	garcía	ADJ
m-917	141	2	-	-	PUNCT
m-917	141	3	valdés	valdés	ADJ
m-917	141	4	,	,	PUNCT
m-917	141	5	r.	r.	PROPN
m-917	141	6	,	,	PUNCT
m-917	141	7	sánchez	sánchez	PROPN
m-917	141	8	,	,	PUNCT
m-917	141	9	a.	a.	NOUN
m-917	141	10	m.	m.	NOUN
m-917	141	11	,	,	PUNCT
m-917	141	12	fernández	fernández	PROPN
m-917	141	13	-	-	PUNCT
m-917	141	14	palacios	palacio	NOUN
m-917	141	15	,	,	PUNCT
m-917	141	16	j.	j.	PROPN
m-917	141	17	m.	m.	PROPN
m-917	141	18	,	,	PUNCT
m-917	141	19	padrón	padrón	PROPN
m-917	141	20	,	,	PUNCT
m-917	141	21	r.	r.	PROPN
m-917	141	22	p.	p.	PROPN
m-917	141	23	,	,	PUNCT
m-917	141	24	&	&	CCONJ
m-917	141	25	rodríguezrodríguez	rodríguezrodríguez	PROPN
m-917	141	26	,	,	PUNCT
m-917	141	27	m.	m.	NOUN
m-917	141	28	a.	a.	NOUN
m-917	141	29	(	(	PUNCT
m-917	141	30	2020	2020	NUM
m-917	141	31	)	)	PUNCT
m-917	141	32	.	.	PUNCT
m-917	142	1	climate	climate	NOUN
m-917	142	2	change	change	NOUN
m-917	142	3	impacts	impact	NOUN
m-917	142	4	on	on	ADP
m-917	142	5	species	specie	NOUN
m-917	142	6	distribution	distribution	NOUN
m-917	142	7	:	:	PUNCT
m-917	142	8	a	a	DET
m-917	142	9	redundancy	redundancy	NOUN
m-917	142	10	analysis	analysis	NOUN
m-917	142	11	approach	approach	NOUN
m-917	142	12	.	.	PUNCT
m-917	143	1	ecography	ecography	NOUN
m-917	143	2	,	,	PUNCT
m-917	143	3	43(1	43(1	NOUN
m-917	143	4	)	)	PUNCT
m-917	143	5	,	,	PUNCT
m-917	143	6	141	141	NUM
m-917	143	7	-	-	SYM
m-917	143	8	152	152	NUM
m-917	143	9	.	.	PUNCT
m-917	143	10	góreck	góreck	NOUN
m-917	143	11	,	,	PUNCT
m-917	143	12	t.	t.	PROPN
m-917	143	13	,	,	PUNCT
m-917	143	14	krzysko	krzysko	PROPN
m-917	143	15	,	,	PUNCT
m-917	143	16	m.	m.	NOUN
m-917	143	17	&	&	CCONJ
m-917	143	18	wołynski	wołynski	PROPN
m-917	143	19	,	,	PUNCT
m-917	143	20	w.	w.	PROPN
m-917	143	21	(	(	PUNCT
m-917	143	22	2020).generalized	2020).generalize	VERB
m-917	143	23	canonical	canonical	ADJ
m-917	143	24	correlation	correlation	NOUN
m-917	143	25	analysis	analysis	NOUN
m-917	143	26	for	for	ADP
m-917	143	27	functional	functional	ADJ
m-917	143	28	data.biometrical	data.biometrical	ADJ
m-917	143	29	letters	letter	NOUN
m-917	143	30	,	,	PUNCT
m-917	143	31	57(2020	57(2020	NUM
m-917	143	32	)	)	PUNCT
m-917	143	33	,	,	PUNCT
m-917	143	34	1	1	NUM
m-917	143	35	–	–	SYM
m-917	143	36	12	12	NUM
m-917	143	37	.	.	PUNCT
m-917	144	1	gua	gua	PROPN
m-917	144	2	,	,	PUNCT
m-917	144	3	f.	f.	PROPN
m-917	144	4	,	,	PUNCT
m-917	144	5	yungb	yungb	PROPN
m-917	144	6	,	,	PUNCT
m-917	144	7	y.	y.	NOUN
m-917	144	8	,	,	PUNCT
m-917	144	9	cheungc	cheungc	NOUN
m-917	144	10	,	,	PUNCT
m-917	144	11	m.	m.	PROPN
m-917	144	12	w.	w.	PROPN
m-917	144	13	l.	l.	PROPN
m-917	144	14	,	,	PUNCT
m-917	144	15	jood	jood	PROPN
m-917	144	16	,	,	PUNCT
m-917	144	17	b.	b.	PROPN
m-917	144	18	k.	k.	PROPN
m-917	144	19	&	&	CCONJ
m-917	144	20	nimon	nimon	PROPN
m-917	144	21	,	,	PUNCT
m-917	144	22	k.	k.	PROPN
m-917	144	23	(	(	PUNCT
m-917	144	24	2023	2023	NUM
m-917	144	25	)	)	PUNCT
m-917	144	26	.	.	PUNCT
m-917	145	1	statistical	statistical	ADJ
m-917	145	2	inference	inference	NOUN
m-917	145	3	in	in	ADP
m-917	145	4	redundancy	redundancy	NOUN
m-917	145	5	analysis	analysis	NOUN
m-917	145	6	:	:	PUNCT
m-917	145	7	a	a	DET
m-917	145	8	direct	direct	ADJ
m-917	145	9	covariance	covariance	NOUN
m-917	145	10	structure	structure	NOUN
m-917	145	11	modeling	modeling	NOUN
m-917	145	12	approach	approach	NOUN
m-917	145	13	.	.	PUNCT
m-917	146	1	multivariate	multivariate	VERB
m-917	146	2	behavioral	behavioral	ADJ
m-917	146	3	research	research	NOUN
m-917	146	4	,	,	PUNCT
m-917	146	5	58(5	58(5	NUM
m-917	146	6	)	)	PUNCT
m-917	146	7	,	,	PUNCT
m-917	146	8	877–893	877–893	NUM
m-917	146	9	.	.	PUNCT
m-917	147	1	hui	hui	PROPN
m-917	147	2	,	,	PUNCT
m-917	147	3	f.	f.	PROPN
m-917	147	4	k.	k.	PROPN
m-917	147	5	c.	c.	PROPN
m-917	147	6	,	,	PUNCT
m-917	147	7	&	&	CCONJ
m-917	147	8	warton	warton	PROPN
m-917	147	9	,	,	PUNCT
m-917	147	10	d.	d.	PROPN
m-917	147	11	i.	i.	PROPN
m-917	147	12	(	(	PUNCT
m-917	147	13	2022).redundancy	2022).redundancy	NUM
m-917	147	14	analysis	analysis	NOUN
m-917	147	15	and	and	CCONJ
m-917	147	16	related	related	ADJ
m-917	147	17	methods	method	NOUN
m-917	147	18	for	for	ADP
m-917	147	19	multivariate	multivariate	NOUN
m-917	147	20	ecological	ecological	ADJ
m-917	147	21	data.methods	data.method	NOUN
m-917	147	22	in	in	ADP
m-917	147	23	ecology	ecology	NOUN
m-917	147	24	and	and	CCONJ
m-917	147	25	evolution	evolution	NOUN
m-917	147	26	,	,	PUNCT
m-917	147	27	13(1	13(1	NUM
m-917	147	28	)	)	PUNCT
m-917	147	29	,	,	PUNCT
m-917	147	30	15	15	NUM
m-917	147	31	-	-	SYM
m-917	147	32	28	28	NUM
m-917	147	33	.	.	PUNCT
m-917	148	1	doi	doi	NOUN
m-917	148	2	:	:	PUNCT
m-917	148	3	10.1111/2041210x.13734	10.1111/2041210x.13734	NUM
m-917	148	4	li	li	PROPN
m-917	148	5	,	,	PUNCT
m-917	148	6	m.	m.	NOUN
m-917	148	7	,	,	PUNCT
m-917	148	8	xu	xu	PROPN
m-917	148	9	,	,	PUNCT
m-917	148	10	x.	x.	PROPN
m-917	148	11	,	,	PUNCT
m-917	148	12	&	&	CCONJ
m-917	148	13	chen	chen	PROPN
m-917	148	14	,	,	PUNCT
m-917	148	15	j.	j.	PROPN
m-917	148	16	(	(	PUNCT
m-917	148	17	2020).integrative	2020).integrative	NUM
m-917	148	18	analysis	analysis	NOUN
m-917	148	19	of	of	ADP
m-917	148	20	gene	gene	NOUN
m-917	148	21	expression	expression	NOUN
m-917	148	22	and	and	CCONJ
m-917	148	23	disease	disease	NOUN
m-917	148	24	outcomes	outcome	NOUN
m-917	148	25	using	use	VERB
m-917	148	26	canonical	canonical	ADJ
m-917	148	27	correlation	correlation	NOUN
m-917	148	28	analysis.bioinformatics	analysis.bioinformatic	NOUN
m-917	148	29	,	,	PUNCT
m-917	148	30	36(10	36(10	NUM
m-917	148	31	)	)	PUNCT
m-917	148	32	,	,	PUNCT
m-917	148	33	2911	2911	NUM
m-917	148	34	-	-	SYM
m-917	148	35	2918	2918	NUM
m-917	148	36	.	.	PUNCT
m-917	149	1	makino	makino	PROPN
m-917	149	2	,	,	PUNCT
m-917	149	3	n.	n.	NOUN
m-917	149	4	(	(	PUNCT
m-917	149	5	2022	2022	NUM
m-917	149	6	)	)	PUNCT
m-917	149	7	.	.	PUNCT
m-917	150	1	rotation	rotation	NOUN
m-917	150	2	in	in	ADP
m-917	150	3	correspondence	correspondence	NOUN
m-917	150	4	analysis	analysis	NOUN
m-917	150	5	from	from	ADP
m-917	150	6	the	the	DET
m-917	150	7	canonical	canonical	ADJ
m-917	150	8	correlation	correlation	NOUN
m-917	150	9	perspective.psychometrika,5(2022	perspective.psychometrika,5(2022	NOUN
m-917	150	10	)	)	PUNCT
m-917	150	11	,	,	PUNCT
m-917	150	12	18–28	18–28	NUM
m-917	150	13	.	.	PUNCT
m-917	151	1	mckeague	mckeague	PROPN
m-917	151	2	,	,	PUNCT
m-917	151	3	i.	i.	PROPN
m-917	151	4	w.	w.	PROPN
m-917	151	5	&	&	CCONJ
m-917	151	6	zhang	zhang	PROPN
m-917	151	7	,	,	PUNCT
m-917	151	8	x.	x.	PROPN
m-917	152	1	(	(	PUNCT
m-917	152	2	2021).significance	2021).significance	NUM
m-917	152	3	testing	testing	NOUN
m-917	152	4	for	for	ADP
m-917	152	5	canonical	canonical	ADJ
m-917	152	6	correlation	correlation	NOUN
m-917	152	7	analysis	analysis	NOUN
m-917	152	8	in	in	ADP
m-917	152	9	high	high	ADJ
m-917	152	10	dimensions	dimension	NOUN
m-917	152	11	.	.	PUNCT
m-917	153	1	biometrika	biometrika	NOUN
m-917	153	2	,	,	PUNCT
m-917	153	3	2021	2021	NUM
m-917	153	4	.	.	PUNCT
m-917	154	1	nayir	nayir	PROPN
m-917	154	2	,	,	PUNCT
m-917	154	3	f.	f.	PROPN
m-917	154	4	&	&	CCONJ
m-917	154	5	saridas	saridas	PROPN
m-917	154	6	,	,	PUNCT
m-917	154	7	g.	g.	PROPN
m-917	154	8	(	(	PUNCT
m-917	154	9	2022	2022	NUM
m-917	154	10	)	)	PUNCT
m-917	154	11	.	.	PUNCT
m-917	155	1	the	the	DET
m-917	155	2	relationship	relationship	NOUN
m-917	155	3	between	between	ADP
m-917	155	4	culturally	culturally	ADV
m-917	155	5	responsive	responsive	ADJ
m-917	155	6	teacher	teacher	NOUN
m-917	155	7	roles	role	NOUN
m-917	155	8	and	and	CCONJ
m-917	155	9	innovative	innovative	ADJ
m-917	155	10	work	work	NOUN
m-917	155	11	behavior	behavior	NOUN
m-917	155	12	:	:	PUNCT
m-917	155	13	canonical	canonical	ADJ
m-917	155	14	correlation	correlation	NOUN
m-917	155	15	analysis	analysis	NOUN
m-917	155	16	.	.	PUNCT
m-917	156	1	journal	journal	NOUN
m-917	156	2	of	of	ADP
m-917	156	3	educational	educational	ADJ
m-917	156	4	research	research	NOUN
m-917	156	5	and	and	CCONJ
m-917	156	6	practice	practice	NOUN
m-917	156	7	,	,	PUNCT
m-917	156	8	12(2022	12(2022	NOUN
m-917	156	9	)	)	PUNCT
m-917	156	10	,	,	PUNCT
m-917	156	11	36	36	NUM
m-917	156	12	–	–	SYM
m-917	156	13	50	50	NUM
m-917	156	14	.	.	PUNCT
m-917	156	15	ramette	ramette	NOUN
m-917	156	16	,	,	PUNCT
m-917	156	17	a.	a.	NOUN
m-917	156	18	(	(	PUNCT
m-917	156	19	2007	2007	NUM
m-917	156	20	)	)	PUNCT
m-917	156	21	.	.	PUNCT
m-917	157	1	multivariate	multivariate	NOUN
m-917	157	2	analyses	analysis	NOUN
m-917	157	3	in	in	ADP
m-917	157	4	microbial	microbial	ADJ
m-917	157	5	ecology.fems	ecology.fems	PROPN
m-917	157	6	microbiology	microbiology	NOUN
m-917	157	7	ecology	ecology	NOUN
m-917	157	8	,	,	PUNCT
m-917	157	9	62(2	62(2	NOUN
m-917	157	10	)	)	PUNCT
m-917	157	11	,	,	PUNCT
m-917	157	12	142	142	NUM
m-917	157	13	-	-	SYM
m-917	157	14	160	160	NUM
m-917	157	15	.	.	PUNCT
m-917	158	1	ijo	ijo	PROPN
m-917	158	2	journals	journal	NOUN
m-917	158	3	volume	volume	NOUN
m-917	158	4	07	07	NUM
m-917	158	5	|	|	NOUN
m-917	158	6	issue	issue	NOUN
m-917	158	7	08	08	NUM
m-917	159	1	|	|	CCONJ
m-917	159	2	august	august	PROPN
m-917	159	3	2024	2024	NUM
m-917	160	1	|	|	ADV
m-917	160	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	160	3	12	12	NUM
m-917	160	4	ijo	ijo	PROPN
m-917	160	5	international	international	PROPN
m-917	160	6	journal	journal	PROPN
m-917	160	7	of	of	ADP
m-917	160	8	mathematics	mathematics	PROPN
m-917	160	9	(	(	PUNCT
m-917	160	10	issn	issn	PROPN
m-917	160	11	:	:	PUNCT
m-917	160	12	2992	2992	NUM
m-917	160	13	-	-	SYM
m-917	160	14	4421	4421	NUM
m-917	160	15	)	)	PUNCT
m-917	160	16	osuagwu	osuagwu	ADV
m-917	160	17	,	,	PUNCT
m-917	160	18	chidimma	chidimma	PROPN
m-917	160	19	udo	udo	PROPN
m-917	160	20	.	.	PROPN
m-917	160	21	*	*	PROPN
m-917	161	1	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-917	161	2	volume	volume	NOUN
m-917	161	3	07	07	NUM
m-917	161	4	||	||	NOUN
m-917	161	5	issue	issue	NOUN
m-917	161	6	08	08	NUM
m-917	161	7	||	||	NOUN
m-917	161	8	august	august	PROPN
m-917	161	9	,	,	PUNCT
m-917	161	10	2024	2024	NUM
m-917	161	11	||	||	NOUN
m-917	161	12	performance	performance	NOUN
m-917	161	13	evaluation	evaluation	NOUN
m-917	161	14	of	of	ADP
m-917	161	15	canonical	canonical	ADJ
m-917	161	16	correlation	correlation	NOUN
m-917	161	17	analysis	analysis	NOUN
m-917	161	18	and	and	CCONJ
m-917	161	19	redundancy	redundancy	NOUN
m-917	161	20	analysisusing	analysisuse	VERB
m-917	161	21	gaussian	gaussian	NOUN
m-917	161	22	,	,	PUNCT
m-917	161	23	gamma	gamma	NOUN
m-917	161	24	,	,	PUNCT
m-917	161	25	exponential	exponential	NOUN
m-917	161	26	and	and	CCONJ
m-917	161	27	beta	beta	NOUN
m-917	161	28	distributed	distribute	VERB
m-917	161	29	data	data	NOUN
m-917	161	30	ramette	ramette	NOUN
m-917	161	31	,	,	PUNCT
m-917	161	32	a.	a.	NOUN
m-917	161	33	(	(	PUNCT
m-917	161	34	2017	2017	NUM
m-917	161	35	)	)	PUNCT
m-917	161	36	.	.	PUNCT
m-917	162	1	multivariate	multivariate	NOUN
m-917	162	2	analyses	analysis	NOUN
m-917	162	3	in	in	ADP
m-917	162	4	microbial	microbial	ADJ
m-917	162	5	ecology	ecology	NOUN
m-917	162	6	:	:	PUNCT
m-917	162	7	a	a	DET
m-917	162	8	decade	decade	NOUN
m-917	162	9	of	of	ADP
m-917	162	10	progress	progress	NOUN
m-917	162	11	.	.	PUNCT
m-917	163	1	fems	fems	PROPN
m-917	163	2	microbiology	microbiology	NOUN
m-917	163	3	ecology	ecology	NOUN
m-917	163	4	,	,	PUNCT
m-917	163	5	93(12	93(12	NUM
m-917	163	6	)	)	PUNCT
m-917	163	7	,	,	PUNCT
m-917	163	8	fix106.doi	fix106.doi	NOUN
m-917	163	9	:	:	PUNCT
m-917	163	10	10.1093	10.1093	NUM
m-917	163	11	/	/	SYM
m-917	163	12	femsec	femsec	PROPN
m-917	163	13	/	/	SYM
m-917	163	14	fix106	fix106	PROPN
m-917	163	15	sumair	sumair	NOUN
m-917	163	16	,	,	PUNCT
m-917	163	17	m.	m.	NOUN
m-917	163	18	,	,	PUNCT
m-917	163	19	aized	aize	VERB
m-917	163	20	,	,	PUNCT
m-917	163	21	t.	t.	PROPN
m-917	163	22	,	,	PUNCT
m-917	163	23	gardezi	gardezi	NOUN
m-917	163	24	,	,	PUNCT
m-917	163	25	s.a.r	s.a.r	NOUN
m-917	163	26	.	.	PUNCT
m-917	163	27	,	,	PUNCT
m-917	163	28	bhutta	bhutta	NOUN
m-917	163	29	,	,	PUNCT
m-917	163	30	m.m.a	m.m.a	NOUN
m-917	163	31	.	.	PUNCT
m-917	163	32	,	,	PUNCT
m-917	163	33	rehman	rehman	NOUN
m-917	163	34	,	,	PUNCT
m-917	163	35	s.m.s	s.m.s	NOUN
m-917	163	36	.	.	PUNCT
m-917	164	1	&	&	CCONJ
m-917	164	2	rehman	rehman	PROPN
m-917	164	3	,	,	PUNCT
m-917	164	4	s.u	s.u	PROPN
m-917	164	5	.	.	PROPN
m-917	164	6	(	(	PUNCT
m-917	164	7	2021	2021	NUM
m-917	164	8	)	)	PUNCT
m-917	164	9	.	.	PUNCT
m-917	165	1	application	application	NOUN
m-917	165	2	of	of	ADP
m-917	165	3	five	five	NUM
m-917	165	4	continuous	continuous	ADJ
m-917	165	5	distributions	distribution	NOUN
m-917	165	6	and	and	CCONJ
m-917	165	7	evaluation	evaluation	NOUN
m-917	165	8	of	of	ADP
m-917	165	9	wind	wind	NOUN
m-917	165	10	potential	potential	NOUN
m-917	165	11	at	at	ADP
m-917	165	12	five	five	NUM
m-917	165	13	stations	station	NOUN
m-917	165	14	using	use	VERB
m-917	165	15	normal	normal	ADJ
m-917	165	16	distribution	distribution	NOUN
m-917	165	17	.	.	PUNCT
m-917	166	1	energy	energy	NOUN
m-917	166	2	exploration	exploration	NOUN
m-917	166	3	&	&	CCONJ
m-917	166	4	exploitation	exploitation	NOUN
m-917	166	5	,	,	PUNCT
m-917	166	6	39(6	39(6	NUM
m-917	166	7	)	)	PUNCT
m-917	166	8	,	,	PUNCT
m-917	166	9	2214	2214	NUM
m-917	166	10	–	–	PUNCT
m-917	166	11	2239	2239	NUM
m-917	166	12	.	.	PUNCT
m-917	167	1	székely	székely	ADV
m-917	167	2	,	,	PUNCT
m-917	167	3	e.	e.	PROPN
m-917	167	4	,	,	PUNCT
m-917	167	5	botta	botta	PROPN
m-917	167	6	-	-	PUNCT
m-917	167	7	dukát	dukát	PROPN
m-917	167	8	,	,	PUNCT
m-917	167	9	z.	z.	PROPN
m-917	167	10	,	,	PUNCT
m-917	167	11	&	&	CCONJ
m-917	167	12	lengyel	lengyel	PROPN
m-917	167	13	,	,	PUNCT
m-917	167	14	a.	a.	NOUN
m-917	167	15	(	(	PUNCT
m-917	167	16	2020).redundancy	2020).redundancy	NUM
m-917	167	17	analysis	analysis	NOUN
m-917	167	18	as	as	ADP
m-917	167	19	a	a	DET
m-917	167	20	tool	tool	NOUN
m-917	167	21	for	for	ADP
m-917	167	22	identifying	identify	VERB
m-917	167	23	drivers	driver	NOUN
m-917	167	24	of	of	ADP
m-917	167	25	community	community	NOUN
m-917	167	26	composition	composition	NOUN
m-917	167	27	in	in	ADP
m-917	167	28	vegetation	vegetation	NOUN
m-917	167	29	ecology.journal	ecology.journal	PROPN
m-917	167	30	of	of	ADP
m-917	167	31	vegetation	vegetation	NOUN
m-917	167	32	science	science	NOUN
m-917	167	33	,	,	PUNCT
m-917	167	34	31(3	31(3	NUM
m-917	167	35	)	)	PUNCT
m-917	167	36	,	,	PUNCT
m-917	167	37	537	537	NUM
m-917	167	38	-	-	SYM
m-917	167	39	546	546	NUM
m-917	167	40	.	.	PUNCT
m-917	167	41	doi	doi	NOUN
m-917	167	42	:	:	PUNCT
m-917	167	43	10.1111	10.1111	NUM
m-917	167	44	/	/	SYM
m-917	167	45	jvs.12854	jvs.12854	PROPN
m-917	167	46	van	van	PROPN
m-917	167	47	de	de	PROPN
m-917	167	48	velden	velden	PROPN
m-917	167	49	.	.	PUNCT
m-917	168	1	m.	m.	NOUN
m-917	168	2	(	(	PUNCT
m-917	168	3	2011).on	2011).on	NUM
m-917	168	4	generalized	generalize	VERB
m-917	168	5	canonical	canonical	ADJ
m-917	168	6	correlation	correlation	NOUN
m-917	168	7	analysis.proc.58th	analysis.proc.58th	NOUN
m-917	168	8	world	world	NOUN
m-917	168	9	statistical	statistical	ADJ
m-917	168	10	congress	congress	PROPN
m-917	168	11	.	.	PUNCT
m-917	169	1	dublin	dublin	PROPN
m-917	169	2	,	,	PUNCT
m-917	169	3	758–765	758–765	NUM
m-917	169	4	.	.	PUNCT
m-917	170	1	wang	wang	PROPN
m-917	170	2	,	,	PUNCT
m-917	170	3	h.	h.	PROPN
m-917	170	4	,	,	PUNCT
m-917	170	5	zhang	zhang	PROPN
m-917	170	6	,	,	PUNCT
m-917	170	7	y.	y.	PROPN
m-917	170	8	,	,	PUNCT
m-917	170	9	&	&	CCONJ
m-917	170	10	singh	singh	PROPN
m-917	170	11	,	,	PUNCT
m-917	170	12	r.	r.	PROPN
m-917	170	13	(	(	PUNCT
m-917	170	14	2022	2022	NUM
m-917	170	15	)	)	PUNCT
m-917	170	16	.	.	PUNCT
m-917	171	1	climate	climate	NOUN
m-917	171	2	-	-	PUNCT
m-917	171	3	crop	crop	NOUN
m-917	171	4	yield	yield	NOUN
m-917	171	5	relationships	relationship	NOUN
m-917	171	6	:	:	PUNCT
m-917	171	7	a	a	DET
m-917	171	8	canonical	canonical	ADJ
m-917	171	9	correlation	correlation	NOUN
m-917	171	10	analysis	analysis	NOUN
m-917	171	11	.	.	PUNCT
m-917	172	1	agricultural	agricultural	ADJ
m-917	172	2	and	and	CCONJ
m-917	172	3	forest	forest	NOUN
m-917	172	4	meteorology	meteorology	NOUN
m-917	172	5	,	,	PUNCT
m-917	172	6	313	313	NUM
m-917	172	7	,	,	PUNCT
m-917	172	8	108702	108702	NUM
m-917	172	9	.	.	PUNCT
m-917	173	1	wang	wang	PROPN
m-917	173	2	,	,	PUNCT
m-917	173	3	y.	y.	PROPN
m-917	173	4	,	,	PUNCT
m-917	173	5	&	&	CCONJ
m-917	173	6	liu	liu	PROPN
m-917	173	7	,	,	PUNCT
m-917	173	8	x.	x.	NOUN
m-917	173	9	(	(	PUNCT
m-917	173	10	2022).canonical	2022).canonical	ADJ
m-917	173	11	correlation	correlation	NOUN
m-917	173	12	analysis	analysis	NOUN
m-917	173	13	for	for	ADP
m-917	173	14	identifying	identify	VERB
m-917	173	15	relationships	relationship	NOUN
m-917	173	16	between	between	ADP
m-917	173	17	climate	climate	NOUN
m-917	173	18	variables	variable	NOUN
m-917	173	19	and	and	CCONJ
m-917	173	20	crop	crop	NOUN
m-917	173	21	yields.journal	yields.journal	PROPN
m-917	173	22	of	of	ADP
m-917	173	23	agricultural	agricultural	ADJ
m-917	173	24	science	science	NOUN
m-917	173	25	,	,	PUNCT
m-917	173	26	160(3	160(3	NUM
m-917	173	27	)	)	PUNCT
m-917	173	28	,	,	PUNCT
m-917	173	29	257	257	NUM
m-917	173	30	-	-	SYM
m-917	173	31	265	265	NUM
m-917	173	32	.	.	PUNCT
m-917	174	1	ijo	ijo	PROPN
m-917	174	2	journals	journal	NOUN
m-917	174	3	volume	volume	NOUN
m-917	174	4	07	07	NUM
m-917	174	5	|	|	NOUN
m-917	174	6	issue	issue	NOUN
m-917	174	7	08	08	NUM
m-917	175	1	|	|	CCONJ
m-917	175	2	august	august	PROPN
m-917	175	3	2024	2024	NUM
m-917	176	1	|	|	ADV
m-917	176	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-917	176	3	13	13	NUM