id	sid	tid	token	lemma	pos
easat-3132	1	1	edelweiss	edelweiss	PROPN
easat-3132	1	2	applied	apply	VERB
easat-3132	1	3	science	science	NOUN
easat-3132	1	4	and	and	CCONJ
easat-3132	1	5	technology	technology	NOUN
easat-3132	1	6	issn	issn	PROPN
easat-3132	1	7	:	:	PUNCT
easat-3132	1	8	2576	2576	NUM
easat-3132	1	9	-	-	SYM
easat-3132	1	10	8484	8484	NUM
easat-3132	1	11	vol	vol	NOUN
easat-3132	1	12	.	.	PROPN
easat-3132	1	13	8	8	NUM
easat-3132	1	14	,	,	PUNCT
easat-3132	1	15	no	no	INTJ
easat-3132	1	16	.	.	NOUN
easat-3132	1	17	6	6	NUM
easat-3132	1	18	,	,	PUNCT
easat-3132	1	19	5145	5145	NUM
easat-3132	1	20	-	-	SYM
easat-3132	1	21	5149	5149	NUM
easat-3132	1	22	2024	2024	NUM
easat-3132	1	23	publisher	publisher	NOUN
easat-3132	1	24	:	:	PUNCT
easat-3132	1	25	learning	learn	VERB
easat-3132	1	26	gate	gate	NOUN
easat-3132	1	27	doi	doi	PROPN
easat-3132	1	28	:	:	PUNCT
easat-3132	1	29	10.55214/25768484.v8i6.3132	10.55214/25768484.v8i6.3132	NUM
easat-3132	1	30	©	©	PROPN
easat-3132	1	31	2024	2024	NUM
easat-3132	1	32	by	by	ADP
easat-3132	1	33	the	the	DET
easat-3132	1	34	author	author	NOUN
easat-3132	1	35	;	;	PUNCT
easat-3132	1	36	licensee	licensee	PROPN
easat-3132	1	37	learning	learning	NOUN
easat-3132	1	38	gate	gate	NOUN
easat-3132	1	39	©	©	PROPN
easat-3132	1	40	2024	2024	NUM
easat-3132	1	41	by	by	ADP
easat-3132	1	42	the	the	DET
easat-3132	1	43	author	author	NOUN
easat-3132	1	44	;	;	PUNCT
easat-3132	1	45	licensee	licensee	PROPN
easat-3132	1	46	learning	learn	VERB
easat-3132	1	47	gate	gate	NOUN
easat-3132	1	48	*	*	PUNCT
easat-3132	1	49	correspondence	correspondence	NOUN
easat-3132	1	50	:	:	PUNCT
easat-3132	1	51	shim@dongguk.ac.kr	shim@dongguk.ac.kr	X
easat-3132	1	52	application	application	NOUN
easat-3132	1	53	of	of	ADP
easat-3132	1	54	the	the	DET
easat-3132	1	55	s	s	NOUN
easat-3132	1	56	-	-	PUNCT
easat-3132	1	57	procedure	procedure	NOUN
easat-3132	1	58	in	in	ADP
easat-3132	1	59	multiple	multiple	ADJ
easat-3132	1	60	comparisons	comparison	NOUN
easat-3132	1	61	for	for	ADP
easat-3132	1	62	nonlinear	nonlinear	ADJ
easat-3132	1	63	models	model	NOUN
easat-3132	1	64	kyu	kyu	PROPN
easat-3132	1	65	bark	bark	PROPN
easat-3132	1	66	shim1	shim1	PROPN
easat-3132	1	67	*	*	SYM
easat-3132	1	68	1dept	1dept	NUM
easat-3132	1	69	.	.	PUNCT
easat-3132	1	70	of	of	ADP
easat-3132	1	71	applied	apply	VERB
easat-3132	1	72	statistics	statistic	NOUN
easat-3132	1	73	,	,	PUNCT
easat-3132	1	74	dongguk	dongguk	PROPN
easat-3132	1	75	university	university	PROPN
easat-3132	1	76	wise	wise	ADJ
easat-3132	1	77	campus	campus	NOUN
easat-3132	1	78	,	,	PUNCT
easat-3132	1	79	gyeongju	gyeongju	NOUN
easat-3132	1	80	,	,	PUNCT
easat-3132	1	81	republic	republic	NOUN
easat-3132	1	82	of	of	ADP
easat-3132	1	83	korea	korea	PROPN
easat-3132	1	84	;	;	PUNCT
easat-3132	1	85	shim@dongguk.ac.kr	shim@dongguk.ac.kr	X
easat-3132	1	86	(	(	PUNCT
easat-3132	1	87	k.b.s	k.b.s	X
easat-3132	1	88	.	.	PUNCT
easat-3132	1	89	)	)	PUNCT
easat-3132	1	90	.	.	PUNCT
easat-3132	2	1	abstract	abstract	ADJ
easat-3132	2	2	:	:	PUNCT
easat-3132	2	3	zerbe	zerbe	NOUN
easat-3132	2	4	(	(	PUNCT
easat-3132	2	5	1979	1979	NUM
easat-3132	2	6	)	)	PUNCT
easat-3132	2	7	characterized	characterize	VERB
easat-3132	2	8	the	the	DET
easat-3132	2	9	growth	growth	NOUN
easat-3132	2	10	curve	curve	NOUN
easat-3132	2	11	model	model	NOUN
easat-3132	2	12	as	as	ADP
easat-3132	2	13	one	one	NUM
easat-3132	2	14	of	of	ADP
easat-3132	2	15	the	the	DET
easat-3132	2	16	nonlinear	nonlinear	ADJ
easat-3132	2	17	models	model	NOUN
easat-3132	2	18	.	.	PUNCT
easat-3132	3	1	for	for	ADP
easat-3132	3	2	these	these	DET
easat-3132	3	3	models	model	NOUN
easat-3132	3	4	,	,	PUNCT
easat-3132	3	5	we	we	PRON
easat-3132	3	6	propose	propose	VERB
easat-3132	3	7	a	a	DET
easat-3132	3	8	comprehensive	comprehensive	ADJ
easat-3132	3	9	procedure	procedure	NOUN
easat-3132	3	10	to	to	PART
easat-3132	3	11	identify	identify	VERB
easat-3132	3	12	significant	significant	ADJ
easat-3132	3	13	differences	difference	NOUN
easat-3132	3	14	in	in	ADP
easat-3132	3	15	multiple	multiple	ADJ
easat-3132	3	16	comparisons	comparison	NOUN
easat-3132	3	17	of	of	ADP
easat-3132	3	18	fully	fully	ADV
easat-3132	3	19	randomized	randomized	ADJ
easat-3132	3	20	growth	growth	NOUN
easat-3132	3	21	curve	curve	NOUN
easat-3132	3	22	models	model	NOUN
easat-3132	3	23	.	.	PUNCT
easat-3132	4	1	research	research	NOUN
easat-3132	4	2	applying	apply	VERB
easat-3132	4	3	scheffé	scheffé	ADV
easat-3132	4	4	’s	’s	PART
easat-3132	4	5	s	s	NOUN
easat-3132	4	6	-	-	NOUN
easat-3132	4	7	procedure	procedure	NOUN
easat-3132	4	8	to	to	ADP
easat-3132	4	9	growth	growth	NOUN
easat-3132	4	10	curve	curve	NOUN
easat-3132	4	11	models	model	NOUN
easat-3132	4	12	as	as	ADP
easat-3132	4	13	a	a	DET
easat-3132	4	14	subclass	subclass	NOUN
easat-3132	4	15	of	of	ADP
easat-3132	4	16	nonlinear	nonlinear	ADJ
easat-3132	4	17	models	model	NOUN
easat-3132	4	18	has	have	VERB
easat-3132	4	19	yet	yet	ADV
easat-3132	4	20	to	to	PART
easat-3132	4	21	be	be	AUX
easat-3132	4	22	conducted	conduct	VERB
easat-3132	4	23	.	.	PUNCT
easat-3132	5	1	our	our	PRON
easat-3132	5	2	findings	finding	NOUN
easat-3132	5	3	demonstrate	demonstrate	VERB
easat-3132	5	4	that	that	SCONJ
easat-3132	5	5	the	the	DET
easat-3132	5	6	s	s	NOUN
easat-3132	5	7	-	-	PUNCT
easat-3132	5	8	procedure	procedure	NOUN
easat-3132	5	9	is	be	AUX
easat-3132	5	10	an	an	DET
easat-3132	5	11	effective	effective	ADJ
easat-3132	5	12	method	method	NOUN
easat-3132	5	13	for	for	ADP
easat-3132	5	14	discerning	discern	VERB
easat-3132	5	15	important	important	ADJ
easat-3132	5	16	differences	difference	NOUN
easat-3132	5	17	within	within	ADP
easat-3132	5	18	a	a	DET
easat-3132	5	19	fully	fully	ADV
easat-3132	5	20	randomized	randomize	VERB
easat-3132	5	21	growth	growth	NOUN
easat-3132	5	22	curve	curve	NOUN
easat-3132	5	23	model	model	NOUN
easat-3132	5	24	.	.	PUNCT
easat-3132	6	1	keywords	keyword	NOUN
easat-3132	6	2	:	:	PUNCT
easat-3132	6	3	growth	growth	NOUN
easat-3132	6	4	curves	curve	NOUN
easat-3132	6	5	,	,	PUNCT
easat-3132	6	6	hypothesis	hypothesis	NOUN
easat-3132	6	7	testing	testing	NOUN
easat-3132	6	8	,	,	PUNCT
easat-3132	6	9	multiple	multiple	ADJ
easat-3132	6	10	comparison	comparison	NOUN
easat-3132	6	11	,	,	PUNCT
easat-3132	6	12	nonlinear	nonlinear	ADJ
easat-3132	6	13	models	model	NOUN
easat-3132	6	14	,	,	PUNCT
easat-3132	6	15	s	s	NOUN
easat-3132	6	16	-	-	NOUN
easat-3132	6	17	procedure	procedure	NOUN
easat-3132	6	18	.	.	PUNCT
easat-3132	7	1	1	1	X
easat-3132	7	2	.	.	X
easat-3132	7	3	introduction	introduction	NOUN
easat-3132	7	4	the	the	DET
easat-3132	7	5	growth	growth	NOUN
easat-3132	7	6	curve	curve	NOUN
easat-3132	7	7	model	model	NOUN
easat-3132	7	8	is	be	AUX
easat-3132	7	9	a	a	DET
easat-3132	7	10	statistical	statistical	ADJ
easat-3132	7	11	technique	technique	NOUN
easat-3132	7	12	that	that	PRON
easat-3132	7	13	enables	enable	VERB
easat-3132	7	14	researchers	researcher	NOUN
easat-3132	7	15	to	to	PART
easat-3132	7	16	analyze	analyze	VERB
easat-3132	7	17	changes	change	NOUN
easat-3132	7	18	in	in	ADP
easat-3132	7	19	a	a	DET
easat-3132	7	20	dependent	dependent	ADJ
easat-3132	7	21	variable	variable	NOUN
easat-3132	7	22	over	over	ADP
easat-3132	7	23	time	time	NOUN
easat-3132	7	24	.	.	PUNCT
easat-3132	8	1	the	the	DET
easat-3132	8	2	model	model	NOUN
easat-3132	8	3	’s	’s	PART
easat-3132	8	4	academic	academic	ADJ
easat-3132	8	5	development	development	NOUN
easat-3132	8	6	has	have	AUX
easat-3132	8	7	evolved	evolve	VERB
easat-3132	8	8	significantly	significantly	ADV
easat-3132	8	9	,	,	PUNCT
easat-3132	8	10	particularly	particularly	ADV
easat-3132	8	11	in	in	ADP
easat-3132	8	12	the	the	DET
easat-3132	8	13	domains	domain	NOUN
easat-3132	8	14	of	of	ADP
easat-3132	8	15	psychology	psychology	NOUN
easat-3132	8	16	,	,	PUNCT
easat-3132	8	17	education	education	NOUN
easat-3132	8	18	,	,	PUNCT
easat-3132	8	19	and	and	CCONJ
easat-3132	8	20	health	health	NOUN
easat-3132	8	21	sciences	science	NOUN
easat-3132	8	22	,	,	PUNCT
easat-3132	8	23	allowing	allow	VERB
easat-3132	8	24	for	for	ADP
easat-3132	8	25	the	the	DET
easat-3132	8	26	investigation	investigation	NOUN
easat-3132	8	27	of	of	ADP
easat-3132	8	28	individual	individual	ADJ
easat-3132	8	29	growth	growth	NOUN
easat-3132	8	30	trajectories	trajectory	NOUN
easat-3132	8	31	.	.	PUNCT
easat-3132	9	1	the	the	DET
easat-3132	9	2	origins	origin	NOUN
easat-3132	9	3	of	of	ADP
easat-3132	9	4	growth	growth	NOUN
easat-3132	9	5	curve	curve	NOUN
easat-3132	9	6	modeling	modeling	NOUN
easat-3132	9	7	can	can	AUX
easat-3132	9	8	be	be	AUX
easat-3132	9	9	traced	trace	VERB
easat-3132	9	10	back	back	ADV
easat-3132	9	11	to	to	ADP
easat-3132	9	12	early	early	ADJ
easat-3132	9	13	longitudinal	longitudinal	ADJ
easat-3132	9	14	studies	study	NOUN
easat-3132	9	15	,	,	PUNCT
easat-3132	9	16	which	which	PRON
easat-3132	9	17	emphasized	emphasize	VERB
easat-3132	9	18	the	the	DET
easat-3132	9	19	importance	importance	NOUN
easat-3132	9	20	of	of	ADP
easat-3132	9	21	repeated	repeat	VERB
easat-3132	9	22	observations	observation	NOUN
easat-3132	9	23	.	.	PUNCT
easat-3132	10	1	traditional	traditional	ADJ
easat-3132	10	2	statistical	statistical	ADJ
easat-3132	10	3	methods	method	NOUN
easat-3132	10	4	like	like	ADP
easat-3132	10	5	anova	anova	PROPN
easat-3132	10	6	and	and	CCONJ
easat-3132	10	7	regression	regression	NOUN
easat-3132	10	8	were	be	AUX
easat-3132	10	9	often	often	ADV
easat-3132	10	10	inadequate	inadequate	ADJ
easat-3132	10	11	for	for	ADP
easat-3132	10	12	these	these	DET
easat-3132	10	13	types	type	NOUN
easat-3132	10	14	of	of	ADP
easat-3132	10	15	data	datum	NOUN
easat-3132	10	16	,	,	PUNCT
easat-3132	10	17	as	as	SCONJ
easat-3132	10	18	they	they	PRON
easat-3132	10	19	treated	treat	VERB
easat-3132	10	20	repeated	repeat	VERB
easat-3132	10	21	measures	measure	NOUN
easat-3132	10	22	as	as	ADP
easat-3132	10	23	independent	independent	ADJ
easat-3132	10	24	,	,	PUNCT
easat-3132	10	25	ignoring	ignore	VERB
easat-3132	10	26	the	the	DET
easat-3132	10	27	intrinsic	intrinsic	ADJ
easat-3132	10	28	correlation	correlation	NOUN
easat-3132	10	29	among	among	ADP
easat-3132	10	30	them	they	PRON
easat-3132	10	31	.	.	PUNCT
easat-3132	11	1	in	in	ADP
easat-3132	11	2	the	the	DET
easat-3132	11	3	late	late	ADJ
easat-3132	11	4	20th	20th	ADJ
easat-3132	11	5	century	century	NOUN
easat-3132	11	6	,	,	PUNCT
easat-3132	11	7	advancements	advancement	NOUN
easat-3132	11	8	in	in	ADP
easat-3132	11	9	hierarchical	hierarchical	ADJ
easat-3132	11	10	linear	linear	NOUN
easat-3132	11	11	and	and	CCONJ
easat-3132	11	12	structural	structural	ADJ
easat-3132	11	13	equation	equation	NOUN
easat-3132	11	14	modeling	modeling	NOUN
easat-3132	11	15	provided	provide	VERB
easat-3132	11	16	a	a	DET
easat-3132	11	17	robust	robust	ADJ
easat-3132	11	18	framework	framework	NOUN
easat-3132	11	19	for	for	ADP
easat-3132	11	20	addressing	address	VERB
easat-3132	11	21	these	these	DET
easat-3132	11	22	limitations	limitation	NOUN
easat-3132	11	23	.	.	PUNCT
easat-3132	12	1	these	these	DET
easat-3132	12	2	methodologies	methodology	NOUN
easat-3132	12	3	highlight	highlight	VERB
easat-3132	12	4	the	the	DET
easat-3132	12	5	individual	individual	ADJ
easat-3132	12	6	variability	variability	NOUN
easat-3132	12	7	in	in	ADP
easat-3132	12	8	growth	growth	NOUN
easat-3132	12	9	patterns	pattern	NOUN
easat-3132	12	10	,	,	PUNCT
easat-3132	12	11	while	while	SCONJ
easat-3132	12	12	accounting	account	VERB
easat-3132	12	13	for	for	ADP
easat-3132	12	14	individual	individual	ADJ
easat-3132	12	15	and	and	CCONJ
easat-3132	12	16	group	group	NOUN
easat-3132	12	17	differences	difference	NOUN
easat-3132	12	18	.	.	PUNCT
easat-3132	13	1	the	the	DET
easat-3132	13	2	growth	growth	NOUN
easat-3132	13	3	curve	curve	NOUN
easat-3132	13	4	model	model	NOUN
easat-3132	13	5	is	be	AUX
easat-3132	13	6	particularly	particularly	ADV
easat-3132	13	7	useful	useful	ADJ
easat-3132	13	8	in	in	ADP
easat-3132	13	9	various	various	ADJ
easat-3132	13	10	contexts	contexts	NOUN
easat-3132	13	11	.	.	PUNCT
easat-3132	14	1	in	in	ADP
easat-3132	14	2	education	education	NOUN
easat-3132	14	3	,	,	PUNCT
easat-3132	14	4	it	it	PRON
easat-3132	14	5	can	can	AUX
easat-3132	14	6	track	track	VERB
easat-3132	14	7	student	student	NOUN
easat-3132	14	8	performance	performance	NOUN
easat-3132	14	9	over	over	ADP
easat-3132	14	10	time	time	NOUN
easat-3132	14	11	and	and	CCONJ
easat-3132	14	12	allow	allow	VERB
easat-3132	14	13	researchers	researcher	NOUN
easat-3132	14	14	to	to	PART
easat-3132	14	15	assess	assess	VERB
easat-3132	14	16	the	the	DET
easat-3132	14	17	effectiveness	effectiveness	NOUN
easat-3132	14	18	of	of	ADP
easat-3132	14	19	different	different	ADJ
easat-3132	14	20	teaching	teaching	NOUN
easat-3132	14	21	methods	method	NOUN
easat-3132	14	22	or	or	CCONJ
easat-3132	14	23	interventions	intervention	NOUN
easat-3132	14	24	.	.	PUNCT
easat-3132	15	1	for	for	ADP
easat-3132	15	2	instance	instance	NOUN
easat-3132	15	3	,	,	PUNCT
easat-3132	15	4	researchers	researcher	NOUN
easat-3132	15	5	may	may	AUX
easat-3132	15	6	compare	compare	VERB
easat-3132	15	7	students	student	NOUN
easat-3132	15	8	’	'	PUNCT
easat-3132	15	9	academic	academic	ADJ
easat-3132	15	10	trajectories	trajectory	NOUN
easat-3132	15	11	before	before	ADV
easat-3132	15	12	and	and	CCONJ
easat-3132	15	13	after	after	ADP
easat-3132	15	14	implementing	implement	VERB
easat-3132	15	15	a	a	DET
easat-3132	15	16	new	new	ADJ
easat-3132	15	17	educational	educational	ADJ
easat-3132	15	18	program	program	NOUN
easat-3132	15	19	.	.	PUNCT
easat-3132	16	1	similarly	similarly	ADV
easat-3132	16	2	,	,	PUNCT
easat-3132	16	3	in	in	ADP
easat-3132	16	4	psychology	psychology	NOUN
easat-3132	16	5	,	,	PUNCT
easat-3132	16	6	growth	growth	NOUN
easat-3132	16	7	curve	curve	NOUN
easat-3132	16	8	modeling	modeling	NOUN
easat-3132	16	9	can	can	AUX
easat-3132	16	10	be	be	AUX
easat-3132	16	11	used	use	VERB
easat-3132	16	12	to	to	PART
easat-3132	16	13	study	study	VERB
easat-3132	16	14	developmental	developmental	ADJ
easat-3132	16	15	changes	change	NOUN
easat-3132	16	16	,	,	PUNCT
easat-3132	16	17	such	such	ADJ
easat-3132	16	18	as	as	ADP
easat-3132	16	19	cognitive	cognitive	ADJ
easat-3132	16	20	abilities	ability	NOUN
easat-3132	16	21	or	or	CCONJ
easat-3132	16	22	behavioral	behavioral	ADJ
easat-3132	16	23	issues	issue	NOUN
easat-3132	16	24	,	,	PUNCT
easat-3132	16	25	across	across	ADP
easat-3132	16	26	different	different	ADJ
easat-3132	16	27	age	age	NOUN
easat-3132	16	28	groups	group	NOUN
easat-3132	16	29	,	,	PUNCT
easat-3132	16	30	facilitating	facilitate	VERB
easat-3132	16	31	a	a	DET
easat-3132	16	32	nuanced	nuanced	ADJ
easat-3132	16	33	understanding	understanding	NOUN
easat-3132	16	34	of	of	ADP
easat-3132	16	35	individual	individual	ADJ
easat-3132	16	36	trajectories	trajectory	NOUN
easat-3132	16	37	.	.	PUNCT
easat-3132	17	1	the	the	DET
easat-3132	17	2	growth	growth	NOUN
easat-3132	17	3	curve	curve	NOUN
easat-3132	17	4	model	model	NOUN
easat-3132	17	5	serves	serve	VERB
easat-3132	17	6	as	as	ADP
easat-3132	17	7	a	a	DET
easat-3132	17	8	versatile	versatile	ADJ
easat-3132	17	9	tool	tool	NOUN
easat-3132	17	10	for	for	ADP
easat-3132	17	11	understanding	understand	VERB
easat-3132	17	12	complex	complex	ADJ
easat-3132	17	13	growth	growth	NOUN
easat-3132	17	14	processes	process	NOUN
easat-3132	17	15	in	in	ADP
easat-3132	17	16	diverse	diverse	ADJ
easat-3132	17	17	fields	field	NOUN
easat-3132	17	18	,	,	PUNCT
easat-3132	17	19	enabling	enable	VERB
easat-3132	17	20	researchers	researcher	NOUN
easat-3132	17	21	to	to	PART
easat-3132	17	22	gain	gain	VERB
easat-3132	17	23	insights	insight	NOUN
easat-3132	17	24	into	into	ADP
easat-3132	17	25	the	the	DET
easat-3132	17	26	average	average	ADJ
easat-3132	17	27	effects	effect	NOUN
easat-3132	17	28	within	within	ADP
easat-3132	17	29	populations	population	NOUN
easat-3132	17	30	,	,	PUNCT
easat-3132	17	31	individual	individual	ADJ
easat-3132	17	32	variations	variation	NOUN
easat-3132	17	33	,	,	PUNCT
easat-3132	17	34	and	and	CCONJ
easat-3132	17	35	the	the	DET
easat-3132	17	36	factors	factor	NOUN
easat-3132	17	37	influencing	influence	VERB
easat-3132	17	38	these	these	DET
easat-3132	17	39	changes	change	NOUN
easat-3132	17	40	over	over	ADP
easat-3132	17	41	time	time	NOUN
easat-3132	17	42	.	.	PUNCT
easat-3132	18	1	in	in	ADP
easat-3132	18	2	this	this	DET
easat-3132	18	3	study	study	NOUN
easat-3132	18	4	,	,	PUNCT
easat-3132	18	5	we	we	PRON
easat-3132	18	6	analyze	analyze	VERB
easat-3132	18	7	growth	growth	NOUN
easat-3132	18	8	curve	curve	NOUN
easat-3132	18	9	models	model	NOUN
easat-3132	18	10	with	with	ADP
easat-3132	18	11	correlated	correlate	VERB
easat-3132	18	12	observations	observation	NOUN
easat-3132	18	13	across	across	ADP
easat-3132	18	14	time	time	NOUN
easat-3132	18	15	and	and	CCONJ
easat-3132	18	16	between	between	ADP
easat-3132	18	17	groups	group	NOUN
easat-3132	18	18	or	or	CCONJ
easat-3132	18	19	treatments	treatment	NOUN
easat-3132	18	20	.	.	PUNCT
easat-3132	19	1	we	we	PRON
easat-3132	19	2	compare	compare	VERB
easat-3132	19	3	different	different	ADJ
easat-3132	19	4	treatments	treatment	NOUN
easat-3132	19	5	,	,	PUNCT
easat-3132	19	6	assuming	assume	VERB
easat-3132	19	7	the	the	DET
easat-3132	19	8	data	datum	NOUN
easat-3132	19	9	consist	consist	NOUN
easat-3132	19	10	of	of	ADP
easat-3132	19	11	measurements	measurement	NOUN
easat-3132	19	12	of	of	ADP
easat-3132	19	13	a	a	DET
easat-3132	19	14	single	single	ADJ
easat-3132	19	15	growth	growth	NOUN
easat-3132	19	16	variable	variable	NOUN
easat-3132	19	17	collected	collect	VERB
easat-3132	19	18	from	from	ADP
easat-3132	19	19	the	the	DET
easat-3132	19	20	same	same	ADJ
easat-3132	19	21	individuals	individual	NOUN
easat-3132	19	22	at	at	ADP
easat-3132	19	23	various	various	ADJ
easat-3132	19	24	time	time	NOUN
easat-3132	19	25	points	point	NOUN
easat-3132	19	26	.	.	PUNCT
easat-3132	20	1	building	build	VERB
easat-3132	20	2	on	on	ADP
easat-3132	20	3	the	the	DET
easat-3132	20	4	work	work	NOUN
easat-3132	20	5	of	of	ADP
easat-3132	20	6	foutz	foutz	ADJ
easat-3132	20	7	(	(	PUNCT
easat-3132	20	8	1984	1984	NUM
easat-3132	20	9	)	)	PUNCT
easat-3132	20	10	and	and	CCONJ
easat-3132	20	11	foutz	foutz	ADJ
easat-3132	20	12	,	,	PUNCT
easat-3132	20	13	jensen	jensen	PROPN
easat-3132	20	14	,	,	PUNCT
easat-3132	20	15	and	and	CCONJ
easat-3132	20	16	anderson	anderson	PROPN
easat-3132	20	17	(	(	PUNCT
easat-3132	20	18	1985	1985	NUM
easat-3132	20	19	)	)	PUNCT
easat-3132	20	20	,	,	PUNCT
easat-3132	20	21	we	we	PRON
easat-3132	20	22	present	present	VERB
easat-3132	20	23	an	an	DET
easat-3132	20	24	effective	effective	ADJ
easat-3132	20	25	multiple	multiple	ADJ
easat-3132	20	26	comparison	comparison	NOUN
easat-3132	20	27	procedure	procedure	NOUN
easat-3132	20	28	for	for	ADP
easat-3132	20	29	randomization	randomization	NOUN
easat-3132	20	30	analyses	analysis	NOUN
easat-3132	20	31	of	of	ADP
easat-3132	20	32	growth	growth	NOUN
easat-3132	20	33	and	and	CCONJ
easat-3132	20	34	response	response	NOUN
easat-3132	20	35	curves	curve	NOUN
easat-3132	20	36	.	.	PUNCT
easat-3132	21	1	zerbe	zerbe	NOUN
easat-3132	21	2	and	and	CCONJ
easat-3132	21	3	murphy	murphy	PROPN
easat-3132	21	4	(	(	PUNCT
easat-3132	21	5	1986	1986	NUM
easat-3132	21	6	)	)	PUNCT
easat-3132	21	7	explored	explore	VERB
easat-3132	21	8	two	two	NUM
easat-3132	21	9	multiple	multiple	ADJ
easat-3132	21	10	comparison	comparison	NOUN
easat-3132	21	11	procedures	procedure	NOUN
easat-3132	21	12	for	for	ADP
easat-3132	21	13	supplementary	supplementary	ADJ
easat-3132	21	14	randomization	randomization	NOUN
easat-3132	21	15	analyses	analysis	NOUN
easat-3132	21	16	of	of	ADP
easat-3132	21	17	growth	growth	NOUN
easat-3132	21	18	curves	curve	NOUN
easat-3132	21	19	—	—	PUNCT
easat-3132	21	20	one	one	NUM
easat-3132	21	21	procedure	procedure	NOUN
easat-3132	21	22	extending	extend	VERB
easat-3132	21	23	the	the	DET
easat-3132	21	24	scheffé	scheffé	ADJ
easat-3132	21	25	method	method	NOUN
easat-3132	21	26	manages	manage	VERB
easat-3132	21	27	the	the	DET
easat-3132	21	28	type	type	NOUN
easat-3132	21	29	i	i	PRON
easat-3132	21	30	error	error	NOUN
easat-3132	21	31	rate	rate	NOUN
easat-3132	21	32	for	for	ADP
easat-3132	21	33	all	all	DET
easat-3132	21	34	possible	possible	ADJ
easat-3132	21	35	contrast	contrast	NOUN
easat-3132	21	36	curves	curve	NOUN
easat-3132	21	37	,	,	PUNCT
easat-3132	21	38	whereas	whereas	SCONJ
easat-3132	21	39	the	the	DET
easat-3132	21	40	other	other	ADJ
easat-3132	21	41	approach	approach	NOUN
easat-3132	21	42	uses	use	VERB
easat-3132	21	43	a	a	DET
easat-3132	21	44	stepwise	stepwise	ADJ
easat-3132	21	45	testing	testing	NOUN
easat-3132	21	46	procedure	procedure	NOUN
easat-3132	21	47	to	to	PART
easat-3132	21	48	manage	manage	VERB
easat-3132	21	49	the	the	DET
easat-3132	21	50	type	type	NOUN
easat-3132	21	51	i	i	PRON
easat-3132	21	52	error	error	NOUN
easat-3132	21	53	rate	rate	NOUN
easat-3132	21	54	.	.	PUNCT
easat-3132	22	1	in	in	ADP
easat-3132	22	2	this	this	DET
easat-3132	22	3	study	study	NOUN
easat-3132	22	4	,	,	PUNCT
easat-3132	22	5	we	we	PRON
easat-3132	22	6	extend	extend	VERB
easat-3132	22	7	the	the	DET
easat-3132	22	8	s	s	NOUN
easat-3132	22	9	-	-	NOUN
easat-3132	22	10	procedure	procedure	NOUN
easat-3132	22	11	,	,	PUNCT
easat-3132	22	12	which	which	PRON
easat-3132	22	13	incorporates	incorporate	VERB
easat-3132	22	14	the	the	DET
easat-3132	22	15	approximation	approximation	NOUN
easat-3132	22	16	5146	5146	NUM
easat-3132	22	17	edelweiss	edelweiss	PROPN
easat-3132	22	18	applied	apply	VERB
easat-3132	22	19	science	science	NOUN
easat-3132	22	20	and	and	CCONJ
easat-3132	22	21	technology	technology	NOUN
easat-3132	22	22	issn	issn	PROPN
easat-3132	22	23	:	:	PUNCT
easat-3132	22	24	2576	2576	NUM
easat-3132	22	25	-	-	SYM
easat-3132	22	26	8484	8484	NUM
easat-3132	22	27	vol	vol	NOUN
easat-3132	22	28	.	.	PROPN
easat-3132	22	29	8	8	NUM
easat-3132	22	30	,	,	PUNCT
easat-3132	22	31	no	no	INTJ
easat-3132	22	32	.	.	NOUN
easat-3132	23	1	6	6	NUM
easat-3132	23	2	:	:	SYM
easat-3132	23	3	5145	5145	NUM
easat-3132	23	4	-	-	SYM
easat-3132	23	5	5149	5149	NUM
easat-3132	23	6	,	,	PUNCT
easat-3132	23	7	2024	2024	NUM
easat-3132	23	8	doi	doi	NOUN
easat-3132	23	9	:	:	PUNCT
easat-3132	23	10	10.55214/25768484.v8i6.3132	10.55214/25768484.v8i6.3132	NUM
easat-3132	23	11	©	©	PROPN
easat-3132	23	12	2024	2024	NUM
easat-3132	23	13	by	by	ADP
easat-3132	23	14	the	the	DET
easat-3132	23	15	author	author	NOUN
easat-3132	23	16	;	;	PUNCT
easat-3132	23	17	licensee	licensee	PROPN
easat-3132	23	18	learning	learning	PROPN
easat-3132	23	19	gate	gate	PROPN
easat-3132	23	20	test	test	NOUN
easat-3132	23	21	proposed	propose	VERB
easat-3132	23	22	by	by	ADP
easat-3132	23	23	zerbe	zerbe	NOUN
easat-3132	23	24	(	(	PUNCT
easat-3132	23	25	1979	1979	NUM
easat-3132	23	26	)	)	PUNCT
easat-3132	23	27	.	.	PUNCT
easat-3132	24	1	these	these	DET
easat-3132	24	2	methods	method	NOUN
easat-3132	24	3	are	be	AUX
easat-3132	24	4	particularly	particularly	ADV
easat-3132	24	5	beneficial	beneficial	ADJ
easat-3132	24	6	in	in	ADP
easat-3132	24	7	clinical	clinical	ADJ
easat-3132	24	8	trials	trial	NOUN
easat-3132	24	9	comparing	compare	VERB
easat-3132	24	10	different	different	ADJ
easat-3132	24	11	treatments	treatment	NOUN
easat-3132	24	12	within	within	ADP
easat-3132	24	13	the	the	DET
easat-3132	24	14	same	same	ADJ
easat-3132	24	15	patient	patient	NOUN
easat-3132	24	16	group	group	NOUN
easat-3132	24	17	.	.	PUNCT
easat-3132	25	1	2	2	X
easat-3132	25	2	.	.	X
easat-3132	25	3	growth	growth	NOUN
easat-3132	25	4	curve	curve	NOUN
easat-3132	25	5	model	model	NOUN
easat-3132	25	6	and	and	CCONJ
easat-3132	25	7	hypothesis	hypothesis	NOUN
easat-3132	25	8	testing	testing	NOUN
easat-3132	25	9	for	for	ADP
easat-3132	25	10	𝛕	𝛕	NOUN
easat-3132	25	11	potthoff	potthoff	NOUN
easat-3132	25	12	and	and	CCONJ
easat-3132	25	13	roy	roy	PROPN
easat-3132	25	14	(	(	PUNCT
easat-3132	25	15	1964	1964	NUM
easat-3132	25	16	)	)	PUNCT
easat-3132	25	17	defined	define	VERB
easat-3132	25	18	the	the	DET
easat-3132	25	19	growth	growth	NOUN
easat-3132	25	20	curve	curve	NOUN
easat-3132	25	21	model	model	NOUN
easat-3132	25	22	as	as	ADP
easat-3132	25	23	:	:	PUNCT
easat-3132	25	24	𝑍𝑝𝑥𝑛	𝑍𝑝𝑥𝑛	PROPN
easat-3132	25	25	=	=	SYM
easat-3132	25	26	𝐴𝑝𝑥𝑚𝜏𝑚𝑥𝑟𝐵𝑟𝑥𝑛	𝐴𝑝𝑥𝑚𝜏𝑚𝑥𝑟𝐵𝑟𝑥𝑛	PROPN
easat-3132	26	1	+	+	CCONJ
easat-3132	26	2	휀𝑝𝑥𝑛	휀𝑝𝑥𝑛	NOUN
easat-3132	26	3	(	(	PUNCT
easat-3132	26	4	1	1	NUM
easat-3132	26	5	)	)	PUNCT
easat-3132	26	6	where	where	SCONJ
easat-3132	26	7	τ	τ	PROPN
easat-3132	26	8	is	be	AUX
easat-3132	26	9	unknown	unknown	ADJ
easat-3132	26	10	;	;	PUNCT
easat-3132	26	11	a	a	PRON
easat-3132	26	12	and	and	CCONJ
easat-3132	26	13	b	b	NOUN
easat-3132	26	14	are	be	AUX
easat-3132	26	15	known	know	VERB
easat-3132	26	16	matrices	matrix	NOUN
easat-3132	26	17	of	of	ADP
easat-3132	26	18	ranks	rank	NOUN
easat-3132	26	19	m	m	VERB
easat-3132	26	20	<	<	X
easat-3132	26	21	p	p	NOUN
easat-3132	27	1	and	and	CCONJ
easat-3132	27	2	r	r	NOUN
easat-3132	27	3	<	<	X
easat-3132	27	4	n	n	CCONJ
easat-3132	27	5	,	,	PUNCT
easat-3132	27	6	respectively	respectively	ADV
easat-3132	27	7	.	.	PUNCT
easat-3132	28	1	additionally	additionally	ADV
easat-3132	28	2	,	,	PUNCT
easat-3132	28	3	the	the	DET
easat-3132	28	4	columns	column	NOUN
easat-3132	28	5	of	of	ADP
easat-3132	28	6	ϵ\epsilonϵ	ϵ\epsilonϵ	PROPN
easat-3132	28	7	are	be	AUX
easat-3132	28	8	independent	independent	ADJ
easat-3132	28	9	p	p	ADJ
easat-3132	28	10	-	-	PUNCT
easat-3132	28	11	variate	variate	ADJ
easat-3132	28	12	normal	normal	ADJ
easat-3132	28	13	vectors	vector	NOUN
easat-3132	28	14	with	with	ADP
easat-3132	28	15	a	a	DET
easat-3132	28	16	mean	mean	ADJ
easat-3132	28	17	vector	vector	NOUN
easat-3132	28	18	of	of	ADP
easat-3132	28	19	0	0	NUM
easat-3132	28	20	and	and	CCONJ
easat-3132	28	21	a	a	DET
easat-3132	28	22	common	common	ADJ
easat-3132	28	23	covariance	covariance	NOUN
easat-3132	28	24	matrix	matrix	NOUN
easat-3132	28	25	σ	σ	PROPN
easat-3132	28	26	.	.	PUNCT
easat-3132	29	1	therefore	therefore	ADV
easat-3132	29	2	,	,	PUNCT
easat-3132	29	3	the	the	DET
easat-3132	29	4	cumulative	cumulative	ADJ
easat-3132	29	5	distribution	distribution	NOUN
easat-3132	29	6	function	function	NOUN
easat-3132	29	7	of	of	ADP
easat-3132	29	8	z	z	PROPN
easat-3132	29	9	is	be	AUX
easat-3132	29	10	:	:	PUNCT
easat-3132	29	11	f(z	f(z	NOUN
easat-3132	30	1	|	|	ADV
easat-3132	30	2	τ	τ	PROPN
easat-3132	30	3	,	,	PUNCT
easat-3132	30	4	σ	σ	PROPN
easat-3132	30	5	)	)	PUNCT
easat-3132	30	6	~	~	PUNCT
easat-3132	30	7	n(aτb	n(aτb	PROPN
easat-3132	30	8	,	,	PUNCT
easat-3132	30	9	σ	σ	X
easat-3132	30	10	𝐼𝑁	𝐼𝑁	PROPN
easat-3132	30	11	)	)	PUNCT
easat-3132	30	12	(	(	PUNCT
easat-3132	30	13	2	2	X
easat-3132	30	14	)	)	PUNCT
easat-3132	30	15	where	where	SCONJ
easat-3132	30	16	τ	τ	PROPN
easat-3132	30	17	denotes	denote	VERB
easat-3132	30	18	the	the	DET
easat-3132	30	19	vector	vector	NOUN
easat-3132	30	20	of	of	ADP
easat-3132	30	21	the	the	DET
easat-3132	30	22	regression	regression	NOUN
easat-3132	30	23	or	or	CCONJ
easat-3132	30	24	growth	growth	NOUN
easat-3132	30	25	curve	curve	NOUN
easat-3132	30	26	coefficients	coefficient	NOUN
easat-3132	30	27	,	,	PUNCT
easat-3132	30	28	denotes	denote	VERB
easat-3132	30	29	the	the	DET
easat-3132	30	30	kronecker	kronecker	NOUN
easat-3132	30	31	product	product	NOUN
easat-3132	30	32	,	,	PUNCT
easat-3132	30	33	and	and	CCONJ
easat-3132	30	34	f	f	X
easat-3132	30	35	(	(	PUNCT
easat-3132	30	36	.	.	PUNCT
easat-3132	30	37	)	)	PUNCT
easat-3132	30	38	denotes	denote	VERB
easat-3132	30	39	the	the	DET
easat-3132	30	40	cumulative	cumulative	ADJ
easat-3132	30	41	distribution	distribution	NOUN
easat-3132	30	42	function	function	NOUN
easat-3132	30	43	b.	b.	PROPN
easat-3132	30	44	zerbe	zerbe	PROPN
easat-3132	30	45	(	(	PUNCT
easat-3132	30	46	1979	1979	NUM
easat-3132	30	47	)	)	PUNCT
easat-3132	30	48	defined	define	VERB
easat-3132	30	49	the	the	DET
easat-3132	30	50	growth	growth	NOUN
easat-3132	30	51	curve	curve	NOUN
easat-3132	30	52	model	model	NOUN
easat-3132	30	53	under	under	ADP
easat-3132	30	54	the	the	DET
easat-3132	30	55	basic	basic	ADJ
easat-3132	30	56	assumptions	assumption	NOUN
easat-3132	30	57	of	of	ADP
easat-3132	30	58	a	a	DET
easat-3132	30	59	completely	completely	ADV
easat-3132	30	60	randomized	randomized	ADJ
easat-3132	30	61	design	design	NOUN
easat-3132	30	62	.	.	PUNCT
easat-3132	31	1	consider	consider	VERB
easat-3132	31	2	a	a	DET
easat-3132	31	3	completely	completely	ADV
easat-3132	31	4	randomized	randomized	ADJ
easat-3132	31	5	design	design	NOUN
easat-3132	31	6	where	where	SCONJ
easat-3132	31	7	n	n	NUM
easat-3132	31	8	subjects	subject	NOUN
easat-3132	31	9	are	be	AUX
easat-3132	31	10	assigned	assign	VERB
easat-3132	31	11	to	to	ADP
easat-3132	31	12	τ	τ	PROPN
easat-3132	31	13	treatment	treatment	NOUN
easat-3132	31	14	groups	group	NOUN
easat-3132	31	15	.	.	PUNCT
easat-3132	32	1	in	in	ADP
easat-3132	32	2	group	group	NOUN
easat-3132	32	3	i	i	PRON
easat-3132	32	4	,	,	PUNCT
easat-3132	32	5	let	let	VERB
easat-3132	32	6	𝑧𝑖𝑗(𝑡	𝑧𝑖𝑗(𝑡	PRON
easat-3132	32	7	)	)	PUNCT
easat-3132	32	8	denote	denote	VERB
easat-3132	32	9	the	the	DET
easat-3132	32	10	growth	growth	NOUN
easat-3132	32	11	curve	curve	NOUN
easat-3132	32	12	observed	observe	VERB
easat-3132	32	13	over	over	ADP
easat-3132	32	14	time	time	NOUN
easat-3132	32	15	t	t	NOUN
easat-3132	32	16	for	for	ADP
easat-3132	32	17	the	the	DET
easat-3132	32	18	subject	subject	NOUN
easat-3132	32	19	assigned	assign	VERB
easat-3132	32	20	to	to	PART
easat-3132	32	21	position	position	VERB
easat-3132	32	22	j	j	PROPN
easat-3132	32	23	in	in	ADP
easat-3132	32	24	group	group	PROPN
easat-3132	32	25	i.	i.	PROPN
easat-3132	32	26	let	let	VERB
easat-3132	32	27	𝑧𝑖𝑘(𝑡	𝑧𝑖𝑘(𝑡	X
easat-3132	32	28	)	)	PUNCT
easat-3132	32	29	represent	represent	VERB
easat-3132	32	30	the	the	DET
easat-3132	32	31	growth	growth	NOUN
easat-3132	32	32	curve	curve	NOUN
easat-3132	32	33	that	that	SCONJ
easat-3132	32	34	the	the	DET
easat-3132	32	35	𝑘𝑡ℎ	𝑘𝑡ℎ	NOUN
easat-3132	32	36	subject	subject	NOUN
easat-3132	32	37	would	would	AUX
easat-3132	32	38	exhibit	exhibit	VERB
easat-3132	32	39	if	if	SCONJ
easat-3132	32	40	assigned	assign	VERB
easat-3132	32	41	to	to	ADP
easat-3132	32	42	group	group	NOUN
easat-3132	32	43	i.	i.	PROPN
easat-3132	32	44	thus	thus	ADV
easat-3132	32	45	,	,	PUNCT
easat-3132	32	46	𝑧𝑖𝑘(𝑡	𝑧𝑖𝑘(𝑡	X
easat-3132	32	47	)	)	PUNCT
easat-3132	32	48	is	be	AUX
easat-3132	32	49	equivalent	equivalent	ADJ
easat-3132	32	50	to	to	ADP
easat-3132	32	51	𝑧𝑖𝑗(𝑡	𝑧𝑖𝑗(𝑡	PROPN
easat-3132	32	52	)	)	PUNCT
easat-3132	32	53	when	when	SCONJ
easat-3132	32	54	subject	subject	PROPN
easat-3132	32	55	k	k	PROPN
easat-3132	32	56	is	be	AUX
easat-3132	32	57	assigned	assign	VERB
easat-3132	32	58	to	to	PART
easat-3132	32	59	position	position	VERB
easat-3132	32	60	j	j	PROPN
easat-3132	32	61	in	in	ADP
easat-3132	32	62	group	group	PROPN
easat-3132	32	63	i.	i.	NOUN
easat-3132	32	64	we	we	PRON
easat-3132	32	65	can	can	AUX
easat-3132	32	66	then	then	ADV
easat-3132	32	67	formulate	formulate	VERB
easat-3132	32	68	the	the	DET
easat-3132	32	69	following	following	ADJ
easat-3132	32	70	mathematical	mathematical	ADJ
easat-3132	32	71	model	model	NOUN
easat-3132	32	72	for	for	ADP
easat-3132	32	73	the	the	DET
easat-3132	32	74	population	population	NOUN
easat-3132	32	75	of	of	ADP
easat-3132	32	76	all	all	DET
easat-3132	32	77	nr	nr	PROPN
easat-3132	32	78	possible	possible	ADJ
easat-3132	32	79	growth	growth	NOUN
easat-3132	32	80	curves	curve	NOUN
easat-3132	32	81	:	:	PUNCT
easat-3132	33	1	𝜑𝑖𝑘(𝑡	𝜑𝑖𝑘(𝑡	X
easat-3132	33	2	)	)	PUNCT
easat-3132	33	3	=	=	SYM
easat-3132	33	4	𝜇(𝑡	𝜇(𝑡	NOUN
easat-3132	33	5	)	)	PUNCT
easat-3132	33	6	+	+	CCONJ
easat-3132	33	7	𝜏𝑖(𝑡	𝜏𝑖(𝑡	X
easat-3132	33	8	)	)	PUNCT
easat-3132	33	9	+	+	NUM
easat-3132	33	10	𝜖𝑘(𝑡	𝜖𝑘(𝑡	NOUN
easat-3132	33	11	)	)	PUNCT
easat-3132	33	12	(	(	PUNCT
easat-3132	33	13	3	3	X
easat-3132	33	14	)	)	PUNCT
easat-3132	33	15	where	where	SCONJ
easat-3132	33	16	μ(t	μ(t	NOUN
easat-3132	33	17	)	)	PUNCT
easat-3132	33	18	=	=	SYM
easat-3132	33	19	�	�	PROPN
easat-3132	33	20	̅	̅	NOUN
easat-3132	33	21	�	�	PROPN
easat-3132	33	22	..	..	SYM
easat-3132	33	23	(𝑡	(𝑡	PROPN
easat-3132	33	24	)	)	PUNCT
easat-3132	33	25	,	,	PUNCT
easat-3132	33	26	𝜏𝑖(𝑡	𝜏𝑖(𝑡	NUM
easat-3132	33	27	)	)	PUNCT
easat-3132	33	28	=	=	SYM
easat-3132	33	29	�	�	NOUN
easat-3132	33	30	̅	̅	NOUN
easat-3132	33	31	�	�	NOUN
easat-3132	33	32	𝑖.(𝑡	𝑖.(𝑡	NOUN
easat-3132	33	33	)	)	PUNCT
easat-3132	33	34	−	−	PROPN
easat-3132	33	35	�	�	PROPN
easat-3132	33	36	̅	̅	NOUN
easat-3132	33	37	�	�	PROPN
easat-3132	33	38	..	..	SYM
easat-3132	33	39	(𝑡	(𝑡	PROPN
easat-3132	33	40	)	)	PUNCT
easat-3132	33	41	,	,	PUNCT
easat-3132	33	42	휀𝑖(𝑡	휀𝑖(𝑡	NUM
easat-3132	33	43	)	)	PUNCT
easat-3132	33	44	=	=	SYM
easat-3132	33	45	�	�	NOUN
easat-3132	33	46	̅	̅	NOUN
easat-3132	33	47	�	�	NOUN
easat-3132	33	48	𝑘.(𝑡	𝑘.(𝑡	NUM
easat-3132	33	49	)	)	PUNCT
easat-3132	33	50	−	−	PROPN
easat-3132	33	51	�	�	PROPN
easat-3132	33	52	̅	̅	NOUN
easat-3132	33	53	�	�	PROPN
easat-3132	33	54	..	..	SYM
easat-3132	33	55	(𝑡	(𝑡	X
easat-3132	33	56	)	)	PUNCT
easat-3132	33	57	(	(	PUNCT
easat-3132	33	58	4	4	X
easat-3132	33	59	)	)	PUNCT
easat-3132	33	60	model	model	NOUN
easat-3132	33	61	(	(	PUNCT
easat-3132	33	62	3	3	NUM
easat-3132	33	63	)	)	PUNCT
easat-3132	33	64	incorporates	incorporate	VERB
easat-3132	33	65	the	the	DET
easat-3132	33	66	grand	grand	ADJ
easat-3132	33	67	mean	mean	NOUN
easat-3132	33	68	growth	growth	NOUN
easat-3132	33	69	curve	curve	NOUN
easat-3132	33	70	,	,	PUNCT
easat-3132	33	71	the	the	DET
easat-3132	33	72	effect	effect	NOUN
easat-3132	33	73	curve	curve	VERB
easat-3132	33	74	attributable	attributable	ADJ
easat-3132	33	75	to	to	ADP
easat-3132	33	76	group	group	PROPN
easat-3132	33	77	i	i	PROPN
easat-3132	33	78	,	,	PUNCT
easat-3132	33	79	and	and	CCONJ
easat-3132	33	80	the	the	DET
easat-3132	33	81	error	error	NOUN
easat-3132	33	82	curve	curve	NOUN
easat-3132	33	83	specific	specific	ADJ
easat-3132	33	84	to	to	PART
easat-3132	33	85	subject	subject	VERB
easat-3132	33	86	k.	k.	NOUN
easat-3132	34	1	this	this	DET
easat-3132	34	2	model	model	NOUN
easat-3132	34	3	is	be	AUX
easat-3132	34	4	built	build	VERB
easat-3132	34	5	upon	upon	SCONJ
easat-3132	34	6	the	the	DET
easat-3132	34	7	population	population	NOUN
easat-3132	34	8	of	of	ADP
easat-3132	34	9	all	all	DET
easat-3132	34	10	potential	potential	ADJ
easat-3132	34	11	timeresponse	timeresponse	ADJ
easat-3132	34	12	curves	curve	NOUN
easat-3132	34	13	and	and	CCONJ
easat-3132	34	14	the	the	DET
easat-3132	34	15	probability	probability	NOUN
easat-3132	34	16	framework	framework	NOUN
easat-3132	34	17	established	establish	VERB
easat-3132	34	18	by	by	ADP
easat-3132	34	19	the	the	DET
easat-3132	34	20	completely	completely	ADV
easat-3132	34	21	randomized	randomized	ADJ
easat-3132	34	22	design	design	NOUN
easat-3132	34	23	.	.	PUNCT
easat-3132	35	1	kempthorne	kempthorne	PROPN
easat-3132	35	2	(	(	PUNCT
easat-3132	35	3	1955	1955	NUM
easat-3132	35	4	)	)	PUNCT
easat-3132	35	5	and	and	CCONJ
easat-3132	35	6	zerbe	zerbe	NOUN
easat-3132	35	7	(	(	PUNCT
easat-3132	35	8	1979	1979	NUM
easat-3132	35	9	)	)	PUNCT
easat-3132	35	10	developed	develop	VERB
easat-3132	35	11	a	a	DET
easat-3132	35	12	statistical	statistical	ADJ
easat-3132	35	13	model	model	NOUN
easat-3132	35	14	for	for	ADP
easat-3132	35	15	the	the	DET
easat-3132	35	16	sample	sample	NOUN
easat-3132	35	17	of	of	ADP
easat-3132	35	18	random	random	ADJ
easat-3132	35	19	response	response	NOUN
easat-3132	35	20	curves	curve	NOUN
easat-3132	35	21	𝑍𝑖𝑗(𝑡	𝑍𝑖𝑗(𝑡	NOUN
easat-3132	35	22	)	)	PUNCT
easat-3132	35	23	(	(	PUNCT
easat-3132	35	24	𝑧𝑖𝑗(𝑡	𝑧𝑖𝑗(𝑡	PROPN
easat-3132	35	25	)	)	PUNCT
easat-3132	35	26	being	be	AUX
easat-3132	35	27	realizations	realization	NOUN
easat-3132	35	28	)	)	PUNCT
easat-3132	35	29	,	,	PUNCT
easat-3132	35	30	which	which	PRON
easat-3132	35	31	is	be	AUX
easat-3132	35	32	represented	represent	VERB
easat-3132	35	33	as	as	SCONJ
easat-3132	35	34	follows	follow	VERB
easat-3132	35	35	:	:	PUNCT
easat-3132	35	36	𝑍(𝑡	𝑍(𝑡	NUM
easat-3132	35	37	)	)	PUNCT
easat-3132	35	38	=	=	SYM
easat-3132	35	39	𝜇(𝑡	𝜇(𝑡	NOUN
easat-3132	35	40	)	)	PUNCT
easat-3132	35	41	+	+	CCONJ
easat-3132	36	1	𝜏𝑖(𝑡	𝜏𝑖(𝑡	X
easat-3132	36	2	)	)	PUNCT
easat-3132	37	1	+	+	NUM
easat-3132	37	2	𝐸𝑖𝑗(𝑡	𝐸𝑖𝑗(𝑡	NOUN
easat-3132	37	3	)	)	PUNCT
easat-3132	37	4	(	(	PUNCT
easat-3132	37	5	5	5	X
easat-3132	37	6	)	)	PUNCT
easat-3132	37	7	in	in	ADP
easat-3132	37	8	model	model	NOUN
easat-3132	37	9	(	(	PUNCT
easat-3132	37	10	5	5	NUM
easat-3132	37	11	)	)	PUNCT
easat-3132	37	12	,	,	PUNCT
easat-3132	37	13	𝐸𝑖𝑗(𝑡	𝐸𝑖𝑗(𝑡	NOUN
easat-3132	37	14	)	)	PUNCT
easat-3132	37	15	are	be	AUX
easat-3132	37	16	random	random	ADJ
easat-3132	37	17	error	error	NOUN
easat-3132	37	18	curves	curve	NOUN
easat-3132	37	19	satisfying	satisfy	VERB
easat-3132	37	20	e[𝐸𝑖𝑗(𝑡	e[𝐸𝑖𝑗(𝑡	NOUN
easat-3132	37	21	)	)	PUNCT
easat-3132	37	22	]	]	PUNCT
easat-3132	38	1	=	=	PUNCT
easat-3132	38	2	0	0	NUM
easat-3132	38	3	,	,	PUNCT
easat-3132	38	4	e[𝐸𝑖𝑗(𝑡)𝐸𝑖′𝑗′(𝑢	e[𝐸𝑖𝑗(𝑡)𝐸𝑖′𝑗′(𝑢	NUM
easat-3132	38	5	)	)	PUNCT
easat-3132	38	6	]	]	PUNCT
easat-3132	39	1	=	=	PUNCT
easat-3132	39	2	(	(	PUNCT
easat-3132	39	3	𝛿𝑖𝑖′𝛿𝑗𝑗′	𝛿𝑖𝑖′𝛿𝑗𝑗′	NOUN
easat-3132	39	4	−	−	PROPN
easat-3132	39	5	1	1	NUM
easat-3132	39	6	𝑛	𝑛	NOUN
easat-3132	39	7	)	)	PUNCT
easat-3132	39	8	𝜎(𝑡	𝜎(𝑡	NUM
easat-3132	39	9	,	,	PUNCT
easat-3132	39	10	𝑢	𝑢	NOUN
easat-3132	39	11	)	)	PUNCT
easat-3132	39	12	(	(	PUNCT
easat-3132	39	13	6	6	NUM
easat-3132	39	14	)	)	PUNCT
easat-3132	39	15	where	where	SCONJ
easat-3132	39	16	𝛿𝑖𝑖′	𝛿𝑖𝑖′	VERB
easat-3132	39	17	=	=	SYM
easat-3132	39	18	1	1	NUM
easat-3132	39	19	if	if	SCONJ
easat-3132	39	20	𝑖	𝑖	PRON
easat-3132	39	21	=	=	SYM
easat-3132	39	22	𝑖′	𝑖′	NUM
easat-3132	39	23	and	and	CCONJ
easat-3132	39	24	𝛿𝑖𝑖′	𝛿𝑖𝑖′	VERB
easat-3132	39	25	=	=	SYM
easat-3132	39	26	0	0	PUNCT
easat-3132	39	27	if	if	SCONJ
easat-3132	39	28	𝑖	𝑖	PRON
easat-3132	39	29	≠	≠	PROPN
easat-3132	39	30	𝑖′	𝑖′	NUM
easat-3132	39	31	,	,	PUNCT
easat-3132	39	32	and	and	CCONJ
easat-3132	39	33	𝜎(𝑡	𝜎(𝑡	NUM
easat-3132	39	34	,	,	PUNCT
easat-3132	39	35	𝑢	𝑢	NOUN
easat-3132	39	36	)	)	PUNCT
easat-3132	39	37	measures	measure	NOUN
easat-3132	39	38	the	the	DET
easat-3132	39	39	covariability	covariability	NOUN
easat-3132	39	40	between	between	ADP
easat-3132	39	41	subject	subject	ADJ
easat-3132	39	42	errors	error	NOUN
easat-3132	39	43	at	at	ADP
easat-3132	39	44	times	time	NOUN
easat-3132	39	45	t	t	PROPN
easat-3132	39	46	and	and	CCONJ
easat-3132	39	47	u.	u.	VERB
easat-3132	39	48	to	to	PART
easat-3132	39	49	test	test	VERB
easat-3132	39	50	the	the	DET
easat-3132	39	51	equality	equality	NOUN
easat-3132	39	52	of	of	ADP
easat-3132	39	53	the	the	DET
easat-3132	39	54	vectors	vector	NOUN
easat-3132	39	55	of	of	ADP
easat-3132	39	56	the	the	DET
easat-3132	39	57	growth	growth	NOUN
easat-3132	39	58	curve	curve	NOUN
easat-3132	39	59	coefficients	coefficient	NOUN
easat-3132	39	60	across	across	ADP
easat-3132	39	61	the	the	DET
easat-3132	39	62	r	r	NOUN
easat-3132	39	63	groups	group	NOUN
easat-3132	39	64	,	,	PUNCT
easat-3132	39	65	we	we	PRON
easat-3132	39	66	set	set	VERB
easat-3132	39	67	up	up	ADP
easat-3132	39	68	the	the	DET
easat-3132	39	69	following	following	ADJ
easat-3132	39	70	null	null	ADJ
easat-3132	39	71	hypothesis	hypothesis	NOUN
easat-3132	39	72	:	:	PUNCT
easat-3132	39	73	𝐻0	𝐻0	PROPN
easat-3132	39	74	∶	∶	PROPN
easat-3132	39	75	𝜏1(𝑡	𝜏1(𝑡	NOUN
easat-3132	39	76	)	)	PUNCT
easat-3132	39	77	=	=	SYM
easat-3132	39	78	𝜏2(𝑡	𝜏2(𝑡	NOUN
easat-3132	39	79	)	)	PUNCT
easat-3132	39	80	=	=	SYM
easat-3132	39	81	⋯	⋯	VERB
easat-3132	39	82	=	=	NOUN
easat-3132	39	83	𝜏𝑟(𝑡	𝜏𝑟(𝑡	X
easat-3132	39	84	)	)	PUNCT
easat-3132	39	85	(	(	PUNCT
easat-3132	39	86	7	7	X
easat-3132	39	87	)	)	PUNCT
easat-3132	39	88	we	we	PRON
easat-3132	39	89	define	define	VERB
easat-3132	39	90	the	the	DET
easat-3132	39	91	sample	sample	NOUN
easat-3132	39	92	mean	mean	VERB
easat-3132	39	93	for	for	ADP
easat-3132	39	94	the	the	DET
easat-3132	39	95	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
easat-3132	39	96	group	group	NOUN
easat-3132	39	97	as	as	SCONJ
easat-3132	39	98	given	give	VERB
easat-3132	39	99	in	in	ADP
easat-3132	39	100	5147	5147	NUM
easat-3132	39	101	edelweiss	edelweiss	PROPN
easat-3132	39	102	applied	apply	VERB
easat-3132	39	103	science	science	NOUN
easat-3132	39	104	and	and	CCONJ
easat-3132	39	105	technology	technology	NOUN
easat-3132	39	106	issn	issn	PROPN
easat-3132	39	107	:	:	PUNCT
easat-3132	39	108	2576	2576	NUM
easat-3132	39	109	-	-	SYM
easat-3132	39	110	8484	8484	NUM
easat-3132	39	111	vol	vol	NOUN
easat-3132	39	112	.	.	PROPN
easat-3132	40	1	8	8	NUM
easat-3132	40	2	,	,	PUNCT
easat-3132	40	3	no	no	INTJ
easat-3132	40	4	.	.	NOUN
easat-3132	41	1	6	6	NUM
easat-3132	41	2	:	:	SYM
easat-3132	41	3	5145	5145	NUM
easat-3132	41	4	-	-	SYM
easat-3132	41	5	5149	5149	NUM
easat-3132	41	6	,	,	PUNCT
easat-3132	41	7	2024	2024	NUM
easat-3132	41	8	doi	doi	NOUN
easat-3132	41	9	:	:	PUNCT
easat-3132	41	10	10.55214/25768484.v8i6.3132	10.55214/25768484.v8i6.3132	NUM
easat-3132	41	11	©	©	PROPN
easat-3132	41	12	2024	2024	NUM
easat-3132	41	13	by	by	ADP
easat-3132	41	14	the	the	DET
easat-3132	41	15	author	author	NOUN
easat-3132	41	16	;	;	PUNCT
easat-3132	41	17	licensee	licensee	PROPN
easat-3132	41	18	learning	learning	PROPN
easat-3132	41	19	gate	gate	PROPN
easat-3132	41	20	�	�	PROPN
easat-3132	41	21	̅	̅	NOUN
easat-3132	41	22	�	�	NOUN
easat-3132	41	23	𝑖.(𝑡	𝑖.(𝑡	NOUN
easat-3132	41	24	)	)	PUNCT
easat-3132	41	25	=	=	PUNCT
easat-3132	42	1	∑	∑	PUNCT
easat-3132	42	2	𝑍	𝑍	PROPN
easat-3132	42	3	𝑛𝑖	𝑛𝑖	NOUN
easat-3132	42	4	𝑗=1	𝑗=1	X
easat-3132	42	5	(	(	PUNCT
easat-3132	42	6	𝑡)/𝑛𝑖	𝑡)/𝑛𝑖	PROPN
easat-3132	42	7	(	(	PUNCT
easat-3132	42	8	8)	8)	NUM
easat-3132	42	9	equation	equation	NOUN
easat-3132	42	10	(	(	PUNCT
easat-3132	42	11	8)	8)	NUM
easat-3132	42	12	represents	represent	VERB
easat-3132	42	13	the	the	DET
easat-3132	42	14	pointwise	pointwise	ADJ
easat-3132	42	15	best	good	ADJ
easat-3132	42	16	minimum	minimum	ADJ
easat-3132	42	17	variance	variance	NOUN
easat-3132	42	18	linear	linear	ADJ
easat-3132	42	19	unbiased	unbiased	ADJ
easat-3132	42	20	estimator	estimator	NOUN
easat-3132	42	21	of	of	ADP
easat-3132	42	22	μ(t	μ(t	PROPN
easat-3132	42	23	)	)	PUNCT
easat-3132	42	24	+	+	CCONJ
easat-3132	42	25	𝜏.(𝑡	𝜏.(𝑡	NOUN
easat-3132	42	26	)	)	PUNCT
easat-3132	42	27	.	.	PUNCT
easat-3132	43	1	additionally	additionally	ADV
easat-3132	43	2	,	,	PUNCT
easat-3132	43	3	we	we	PRON
easat-3132	43	4	define	define	VERB
easat-3132	43	5	the	the	DET
easat-3132	43	6	overall	overall	ADJ
easat-3132	43	7	sample	sample	NOUN
easat-3132	43	8	mean	mean	VERB
easat-3132	43	9	for	for	ADP
easat-3132	43	10	all	all	DET
easat-3132	43	11	groups	group	NOUN
easat-3132	43	12	as	as	SCONJ
easat-3132	43	13	indicated	indicate	VERB
easat-3132	43	14	in	in	ADP
easat-3132	43	15	𝑍	𝑍	PROPN
easat-3132	43	16	..	..	PUNCT
easat-3132	43	17	(𝑡	(𝑡	X
easat-3132	43	18	)	)	PUNCT
easat-3132	43	19	=	=	SYM
easat-3132	44	1	∑	∑	PUNCT
easat-3132	44	2	∑	∑	PROPN
easat-3132	44	3	𝑍(𝑡)/𝑛	𝑍(𝑡)/𝑛	X
easat-3132	44	4	𝑛𝑖	𝑛𝑖	PROPN
easat-3132	44	5	𝑗=1	𝑗=1	X
easat-3132	44	6	𝑟	𝑟	X
easat-3132	44	7	𝑖=1	𝑖=1	PUNCT
easat-3132	44	8	(	(	PUNCT
easat-3132	44	9	9	9	X
easat-3132	44	10	)	)	PUNCT
easat-3132	44	11	equation	equation	NOUN
easat-3132	44	12	(	(	PUNCT
easat-3132	44	13	9	9	NUM
easat-3132	44	14	)	)	PUNCT
easat-3132	44	15	is	be	AUX
easat-3132	44	16	equal	equal	ADJ
easat-3132	44	17	to	to	ADP
easat-3132	44	18	the	the	DET
easat-3132	44	19	constant	constant	ADJ
easat-3132	44	20	μ(t	μ(t	NOUN
easat-3132	44	21	)	)	PUNCT
easat-3132	45	1	+	+	CCONJ
easat-3132	45	2	𝜏.(𝑡	𝜏.(𝑡	NOUN
easat-3132	45	3	)	)	PUNCT
easat-3132	45	4	,	,	PUNCT
easat-3132	45	5	where	where	SCONJ
easat-3132	45	6	�	�	NOUN
easat-3132	45	7	̅	̅	NOUN
easat-3132	45	8	�	�	NOUN
easat-3132	45	9	.(𝑡	.(𝑡	NOUN
easat-3132	45	10	)	)	PUNCT
easat-3132	46	1	=	=	PUNCT
easat-3132	46	2	∑	∑	PUNCT
easat-3132	46	3	𝑛𝑖	𝑛𝑖	PROPN
easat-3132	46	4	𝑟	𝑟	NOUN
easat-3132	46	5	𝑖=1	𝑖=1	PUNCT
easat-3132	46	6	𝜏𝑖/𝑛.	𝜏𝑖/𝑛.	NUM
easat-3132	46	7	the	the	DET
easat-3132	46	8	randomization	randomization	NOUN
easat-3132	46	9	test	test	NOUN
easat-3132	46	10	introduced	introduce	VERB
easat-3132	46	11	by	by	ADP
easat-3132	46	12	kempthorne	kempthorne	PROPN
easat-3132	46	13	(	(	PUNCT
easat-3132	46	14	1955	1955	NUM
easat-3132	46	15	)	)	PUNCT
easat-3132	46	16	provided	provide	VERB
easat-3132	46	17	a	a	DET
easat-3132	46	18	method	method	NOUN
easat-3132	46	19	for	for	ADP
easat-3132	46	20	testing	testing	NOUN
easat-3132	46	21	group	group	NOUN
easat-3132	46	22	effects	effect	NOUN
easat-3132	46	23	at	at	ADP
easat-3132	46	24	specified	specified	ADJ
easat-3132	46	25	times	time	NOUN
easat-3132	46	26	.	.	PUNCT
easat-3132	47	1	kempthorne	kempthorne	PROPN
easat-3132	47	2	’s	’s	PART
easat-3132	47	3	approach	approach	NOUN
easat-3132	47	4	has	have	AUX
easat-3132	47	5	since	since	ADV
easat-3132	47	6	been	be	AUX
easat-3132	47	7	generalized	generalize	VERB
easat-3132	47	8	to	to	PART
easat-3132	47	9	accommodate	accommodate	VERB
easat-3132	47	10	cases	case	NOUN
easat-3132	47	11	with	with	ADP
easat-3132	47	12	unequal	unequal	ADJ
easat-3132	47	13	group	group	NOUN
easat-3132	47	14	sizes	size	NOUN
easat-3132	47	15	.	.	PUNCT
easat-3132	48	1	let	let	VERB
easat-3132	48	2	b(t	b(t	VERB
easat-3132	48	3	)	)	PUNCT
easat-3132	48	4	=	=	PUNCT
easat-3132	49	1	∑	∑	PUNCT
easat-3132	49	2	𝑛𝑖	𝑛𝑖	PROPN
easat-3132	49	3	𝑟	𝑟	NOUN
easat-3132	49	4	𝑖=1	𝑖=1	PUNCT
easat-3132	49	5	{	{	PUNCT
easat-3132	49	6	𝑍𝑖.(𝑡	𝑍𝑖.(𝑡	NOUN
easat-3132	49	7	)	)	PUNCT
easat-3132	49	8	−	−	PROPN
easat-3132	49	9	�	�	PROPN
easat-3132	49	10	̅	̅	NOUN
easat-3132	49	11	�	�	NOUN
easat-3132	49	12	..	..	PUNCT
easat-3132	49	13	(𝑡)}2	(𝑡)}2	NUM
easat-3132	49	14	(	(	PUNCT
easat-3132	49	15	10a	10a	NOUN
easat-3132	49	16	)	)	PUNCT
easat-3132	49	17	w(t	w(t	X
easat-3132	49	18	)	)	PUNCT
easat-3132	50	1	=	=	PUNCT
easat-3132	50	2	∑	∑	PUNCT
easat-3132	50	3	∑	∑	PROPN
easat-3132	50	4	{	{	PUNCT
easat-3132	50	5	𝑍𝑖𝑗(𝑡	𝑍𝑖𝑗(𝑡	PROPN
easat-3132	50	6	)	)	PUNCT
easat-3132	51	1	−	−	DET
easat-3132	51	2	�	�	NOUN
easat-3132	51	3	̅	̅	NOUN
easat-3132	51	4	�	�	NOUN
easat-3132	51	5	𝑖.(𝑡	𝑖.(𝑡	NOUN
easat-3132	51	6	)	)	PUNCT
easat-3132	51	7	}	}	PUNCT
easat-3132	51	8	2	2	NUM
easat-3132	51	9	𝑛𝑖	𝑛𝑖	NOUN
easat-3132	51	10	𝑗=1	𝑗=1	PROPN
easat-3132	51	11	𝑟	𝑟	X
easat-3132	51	12	𝑖=1	𝑖=1	PUNCT
easat-3132	51	13	(	(	PUNCT
easat-3132	51	14	10b	10b	NOUN
easat-3132	51	15	)	)	PUNCT
easat-3132	51	16	and	and	CCONJ
easat-3132	51	17	t(t	t(t	NOUN
easat-3132	51	18	)	)	PUNCT
easat-3132	51	19	=	=	PUNCT
easat-3132	51	20	∑	∑	PUNCT
easat-3132	51	21	∑	∑	PROPN
easat-3132	51	22	{	{	PUNCT
easat-3132	51	23	𝑍𝑖𝑗(𝑡	𝑍𝑖𝑗(𝑡	PROPN
easat-3132	51	24	)	)	PUNCT
easat-3132	52	1	−	−	PRON
easat-3132	52	2	�	�	PROPN
easat-3132	52	3	̅	̅	NOUN
easat-3132	52	4	�	�	PROPN
easat-3132	52	5	..	..	SYM
easat-3132	52	6	(𝑡	(𝑡	PROPN
easat-3132	52	7	)	)	PUNCT
easat-3132	52	8	}	}	PUNCT
easat-3132	52	9	2𝑛𝑖	2𝑛𝑖	ADJ
easat-3132	52	10	𝑗=1	𝑗=1	X
easat-3132	52	11	𝑟	𝑟	X
easat-3132	52	12	𝑖=1	𝑖=1	PROPN
easat-3132	52	13	(	(	PUNCT
easat-3132	52	14	10c	10c	NOUN
easat-3132	52	15	)	)	PUNCT
easat-3132	52	16	then	then	ADV
easat-3132	52	17	,	,	PUNCT
easat-3132	52	18	(	(	PUNCT
easat-3132	52	19	10a	10a	NOUN
easat-3132	52	20	)	)	PUNCT
easat-3132	52	21	,	,	PUNCT
easat-3132	52	22	(	(	PUNCT
easat-3132	52	23	10b	10b	NOUN
easat-3132	52	24	)	)	PUNCT
easat-3132	52	25	,	,	PUNCT
easat-3132	52	26	and	and	CCONJ
easat-3132	52	27	(	(	PUNCT
easat-3132	52	28	10c	10c	NOUN
easat-3132	52	29	)	)	PUNCT
easat-3132	52	30	are	be	AUX
easat-3132	52	31	between	between	ADP
easat-3132	52	32	,	,	PUNCT
easat-3132	52	33	within	within	ADV
easat-3132	52	34	,	,	PUNCT
easat-3132	52	35	and	and	CCONJ
easat-3132	52	36	total	total	ADJ
easat-3132	52	37	sum	sum	NOUN
easat-3132	52	38	of	of	ADP
easat-3132	52	39	squares	square	NOUN
easat-3132	52	40	at	at	ADP
easat-3132	52	41	time	time	NOUN
easat-3132	52	42	t	t	PROPN
easat-3132	52	43	,	,	PUNCT
easat-3132	52	44	respectively	respectively	ADV
easat-3132	52	45	.	.	PUNCT
easat-3132	53	1	therefore	therefore	ADV
easat-3132	53	2	,	,	PUNCT
easat-3132	53	3	𝐹01(𝑡	𝐹01(𝑡	NOUN
easat-3132	53	4	)	)	PUNCT
easat-3132	53	5	=	=	PUNCT
easat-3132	53	6	{	{	PUNCT
easat-3132	53	7	𝐵(𝑡	𝐵(𝑡	NOUN
easat-3132	53	8	)	)	PUNCT
easat-3132	53	9	(	(	PUNCT
easat-3132	53	10	𝑟	𝑟	X
easat-3132	53	11	−	−	PROPN
easat-3132	53	12	1)}⁄	1)}⁄	NUM
easat-3132	53	13	{	{	PUNCT
easat-3132	53	14	(	(	PUNCT
easat-3132	53	15	𝑟	𝑟	NOUN
easat-3132	53	16	−	−	PROPN
easat-3132	53	17	1)	1)	NUM
easat-3132	53	18	�	�	PROPN
easat-3132	53	19	̂	̂	NOUN
easat-3132	53	20	�	�	NOUN
easat-3132	53	21	2(𝑡)}⁄	2(𝑡)}⁄	NUM
easat-3132	53	22	(	(	PUNCT
easat-3132	53	23	11	11	NUM
easat-3132	53	24	)	)	PUNCT
easat-3132	53	25	where	where	SCONJ
easat-3132	53	26	,	,	PUNCT
easat-3132	53	27	�	�	PROPN
easat-3132	53	28	̂	̂	NOUN
easat-3132	53	29	�	�	NOUN
easat-3132	53	30	2(t	2(t	NUM
easat-3132	53	31	)	)	PUNCT
easat-3132	53	32	=	=	SYM
easat-3132	54	1	w(t)/(n	w(t)/(n	ADP
easat-3132	54	2	−	−	NOUN
easat-3132	54	3	r	r	NOUN
easat-3132	54	4	)	)	PUNCT
easat-3132	54	5	is	be	AUX
easat-3132	54	6	an	an	DET
easat-3132	54	7	appropriate	appropriate	ADJ
easat-3132	54	8	statistic	statistic	NOUN
easat-3132	54	9	for	for	ADP
easat-3132	54	10	null	null	ADJ
easat-3132	54	11	hypothesis	hypothesis	NOUN
easat-3132	54	12	(	(	PUNCT
easat-3132	54	13	7	7	NUM
easat-3132	54	14	)	)	PUNCT
easat-3132	54	15	.	.	PUNCT
easat-3132	55	1	the	the	DET
easat-3132	55	2	degrees	degree	NOUN
easat-3132	55	3	of	of	ADP
easat-3132	55	4	freedom	freedom	NOUN
easat-3132	55	5	of	of	ADP
easat-3132	55	6	the	the	DET
easat-3132	55	7	approximate	approximate	ADJ
easat-3132	55	8	f	f	PROPN
easat-3132	55	9	test	test	NOUN
easat-3132	55	10	are	be	AUX
easat-3132	55	11	approximately	approximately	ADV
easat-3132	55	12	(	(	PUNCT
easat-3132	55	13	r–1	r–1	NOUN
easat-3132	55	14	)	)	PUNCT
easat-3132	55	15	and	and	CCONJ
easat-3132	55	16	(	(	PUNCT
easat-3132	55	17	n	n	CCONJ
easat-3132	55	18	–	–	PUNCT
easat-3132	55	19	r	r	NOUN
easat-3132	55	20	)	)	PUNCT
easat-3132	55	21	.	.	PUNCT
easat-3132	56	1	let	let	VERB
easat-3132	56	2	𝑓𝛼(𝑡	𝑓𝛼(𝑡	NOUN
easat-3132	56	3	)	)	PUNCT
easat-3132	56	4	denote	denote	VERB
easat-3132	56	5	the	the	DET
easat-3132	56	6	100(1	100(1	NUM
easat-3132	56	7	−	−	PROPN
easat-3132	56	8	𝛼)%	𝛼)%	NUM
easat-3132	56	9	point	point	NOUN
easat-3132	56	10	of	of	ADP
easat-3132	56	11	the	the	DET
easat-3132	56	12	exact	exact	ADJ
easat-3132	56	13	distribution	distribution	NOUN
easat-3132	56	14	of	of	ADP
easat-3132	56	15	𝐹01(𝑡	𝐹01(𝑡	NOUN
easat-3132	56	16	)	)	PUNCT
easat-3132	56	17	.	.	PUNCT
easat-3132	57	1	then	then	ADV
easat-3132	57	2	,	,	PUNCT
easat-3132	57	3	1	1	NUM
easat-3132	57	4	−	−	PROPN
easat-3132	57	5	α	α	NOUN
easat-3132	57	6	=	=	SYM
easat-3132	57	7	pr{𝐹𝜏(𝑡	pr{𝐹𝜏(𝑡	NOUN
easat-3132	57	8	)	)	PUNCT
easat-3132	57	9	<	<	X
easat-3132	57	10	𝑓𝛼(𝑡	𝑓𝛼(𝑡	NOUN
easat-3132	57	11	)	)	PUNCT
easat-3132	57	12	|	|	ADV
easat-3132	57	13	𝐻0	𝐻0	PROPN
easat-3132	57	14	}	}	PUNCT
easat-3132	57	15	(	(	PUNCT
easat-3132	57	16	12	12	NUM
easat-3132	57	17	)	)	PUNCT
easat-3132	57	18	3	3	NUM
easat-3132	57	19	.	.	X
easat-3132	58	1	s	s	NOUN
easat-3132	58	2	-	-	NOUN
easat-3132	58	3	procedure	procedure	NOUN
easat-3132	58	4	in	in	ADP
easat-3132	58	5	multiple	multiple	ADJ
easat-3132	58	6	comparisons	comparison	NOUN
easat-3132	58	7	the	the	DET
easat-3132	58	8	following	follow	VERB
easat-3132	58	9	null	null	ADJ
easat-3132	58	10	hypothesis	hypothesis	NOUN
easat-3132	58	11	can	can	AUX
easat-3132	58	12	be	be	AUX
easat-3132	58	13	tested	test	VERB
easat-3132	58	14	using	use	VERB
easat-3132	58	15	the	the	DET
easat-3132	58	16	confidence	confidence	NOUN
easat-3132	58	17	region	region	NOUN
easat-3132	58	18	test	test	NOUN
easat-3132	58	19	method	method	NOUN
easat-3132	58	20	:	:	PUNCT
easat-3132	58	21	𝐻0	𝐻0	PROPN
easat-3132	58	22	∶	∶	PROPN
easat-3132	58	23	𝑐𝑙𝜏𝑙(𝑡	𝑐𝑙𝜏𝑙(𝑡	PROPN
easat-3132	58	24	)	)	PUNCT
easat-3132	59	1	−	−	PROPN
easat-3132	59	2	𝑐𝑚𝜏𝑚(𝑡	𝑐𝑚𝜏𝑚(𝑡	NOUN
easat-3132	59	3	)	)	PUNCT
easat-3132	59	4	=	=	SYM
easat-3132	59	5	0	0	NUM
easat-3132	59	6	(	(	PUNCT
easat-3132	59	7	13	13	NUM
easat-3132	59	8	)	)	PUNCT
easat-3132	59	9	let	let	VERB
easat-3132	59	10	𝐵𝜏(t	𝐵𝜏(t	X
easat-3132	59	11	)	)	PUNCT
easat-3132	59	12	=	=	SYM
easat-3132	59	13	∑	∑	PUNCT
easat-3132	59	14	𝑛𝑖{(	𝑛𝑖{(	NUM
easat-3132	59	15	�	�	NOUN
easat-3132	59	16	̅	̅	NOUN
easat-3132	59	17	�	�	NOUN
easat-3132	59	18	𝑖.(𝑡	𝑖.(𝑡	NOUN
easat-3132	59	19	)	)	PUNCT
easat-3132	59	20	−	−	PROPN
easat-3132	59	21	𝜏𝑖(𝑡	𝜏𝑖(𝑡	NUM
easat-3132	59	22	)	)	PUNCT
easat-3132	59	23	)	)	PUNCT
easat-3132	60	1	−	−	PROPN
easat-3132	60	2	(	(	PUNCT
easat-3132	60	3	�	�	NOUN
easat-3132	60	4	̅	̅	NOUN
easat-3132	60	5	�	�	PROPN
easat-3132	60	6	..	..	SYM
easat-3132	60	7	(𝑡	(𝑡	PROPN
easat-3132	60	8	)	)	PUNCT
easat-3132	60	9	−	−	PROPN
easat-3132	60	10	�	�	PROPN
easat-3132	60	11	̅	̅	NOUN
easat-3132	60	12	�	�	NOUN
easat-3132	60	13	.(𝑡))}2𝑟	.(𝑡))}2𝑟	SYM
easat-3132	60	14	𝑖=1	𝑖=1	PROPN
easat-3132	60	15	(	(	PUNCT
easat-3132	60	16	14	14	NUM
easat-3132	60	17	)	)	PUNCT
easat-3132	60	18	equation	equation	NOUN
easat-3132	60	19	(	(	PUNCT
easat-3132	60	20	14	14	NUM
easat-3132	60	21	)	)	PUNCT
easat-3132	60	22	denotes	denote	VERB
easat-3132	60	23	the	the	DET
easat-3132	60	24	between	between	NOUN
easat-3132	60	25	-	-	PUNCT
easat-3132	60	26	groups	group	NOUN
easat-3132	60	27	sum	sum	NOUN
easat-3132	60	28	of	of	ADP
easat-3132	60	29	squares	square	NOUN
easat-3132	60	30	at	at	ADP
easat-3132	60	31	time	time	NOUN
easat-3132	60	32	t	t	PROPN
easat-3132	60	33	for	for	ADP
easat-3132	60	34	the	the	DET
easat-3132	60	35	variables	variable	NOUN
easat-3132	60	36	𝑍𝑖𝑗(𝑡	𝑍𝑖𝑗(𝑡	PROPN
easat-3132	60	37	)	)	PUNCT
easat-3132	60	38	−	−	NOUN
easat-3132	60	39	𝜏𝑖(𝑡	𝜏𝑖(𝑡	NUM
easat-3132	60	40	)	)	PUNCT
easat-3132	60	41	.	.	PUNCT
easat-3132	61	1	we	we	PRON
easat-3132	61	2	translate	translate	VERB
easat-3132	61	3	scheffé	scheffé	ADV
easat-3132	61	4	’s	’s	PART
easat-3132	61	5	notation	notation	NOUN
easat-3132	61	6	from	from	ADP
easat-3132	61	7	the	the	DET
easat-3132	61	8	randomization	randomization	NOUN
easat-3132	61	9	block	block	NOUN
easat-3132	61	10	design	design	NOUN
easat-3132	61	11	to	to	ADP
easat-3132	61	12	ours	ours	PRON
easat-3132	61	13	for	for	ADP
easat-3132	61	14	a	a	DET
easat-3132	61	15	completely	completely	ADV
easat-3132	61	16	randomized	randomized	ADJ
easat-3132	61	17	design	design	NOUN
easat-3132	61	18	at	at	ADP
easat-3132	61	19	time	time	NOUN
easat-3132	61	20	t.	t.	PROPN
easat-3132	61	21	scheffé	scheffé	PROPN
easat-3132	61	22	(	(	PUNCT
easat-3132	61	23	1959	1959	NUM
easat-3132	61	24	)	)	PUNCT
easat-3132	61	25	proposed	propose	VERB
easat-3132	61	26	that	that	SCONJ
easat-3132	61	27	the	the	DET
easat-3132	61	28	distribution	distribution	NOUN
easat-3132	61	29	of	of	ADP
easat-3132	61	30	𝑍𝑖𝑗(𝑡	𝑍𝑖𝑗(𝑡	NOUN
easat-3132	61	31	)	)	PUNCT
easat-3132	61	32	−	−	NOUN
easat-3132	61	33	𝜏𝑖(𝑡	𝜏𝑖(𝑡	NUM
easat-3132	61	34	)	)	PUNCT
easat-3132	61	35	is	be	AUX
easat-3132	61	36	the	the	DET
easat-3132	61	37	same	same	ADJ
easat-3132	61	38	as	as	ADP
easat-3132	61	39	the	the	DET
easat-3132	61	40	distribution	distribution	NOUN
easat-3132	61	41	of	of	ADP
easat-3132	61	42	𝑍𝑖𝑗(𝑡	𝑍𝑖𝑗(𝑡	NOUN
easat-3132	61	43	)	)	PUNCT
easat-3132	61	44	under	under	ADP
easat-3132	61	45	the	the	DET
easat-3132	61	46	null	null	ADJ
easat-3132	61	47	hypothesis	hypothesis	NOUN
easat-3132	61	48	.	.	PUNCT
easat-3132	62	1	therefore	therefore	ADV
easat-3132	62	2	,	,	PUNCT
easat-3132	62	3	irrespective	irrespective	ADV
easat-3132	62	4	of	of	ADP
easat-3132	62	5	the	the	DET
easat-3132	62	6	actual	actual	ADJ
easat-3132	62	7	values	value	NOUN
easat-3132	62	8	of	of	ADP
easat-3132	62	9	the	the	DET
easat-3132	62	10	treatment	treatment	NOUN
easat-3132	62	11	effect	effect	NOUN
easat-3132	62	12	curves	curve	VERB
easat-3132	62	13	𝜏𝑖(𝑡	𝜏𝑖(𝑡	NUM
easat-3132	62	14	)	)	PUNCT
easat-3132	62	15	,	,	PUNCT
easat-3132	62	16	𝐹𝜏(𝑡	𝐹𝜏(𝑡	X
easat-3132	62	17	)	)	PUNCT
easat-3132	62	18	=	=	VERB
easat-3132	62	19	𝐵𝜏(𝑡)/[(𝑟	𝐵𝜏(𝑡)/[(𝑟	VERB
easat-3132	62	20	−	−	PROPN
easat-3132	62	21	1)	1)	NUM
easat-3132	62	22	�	�	PROPN
easat-3132	62	23	̂	̂	NOUN
easat-3132	62	24	�	�	NOUN
easat-3132	62	25	2(𝑡	2(𝑡	NUM
easat-3132	62	26	)	)	PUNCT
easat-3132	62	27	]	]	PUNCT
easat-3132	62	28	follows	follow	VERB
easat-3132	62	29	the	the	DET
easat-3132	62	30	same	same	ADJ
easat-3132	62	31	distribution	distribution	NOUN
easat-3132	62	32	as	as	ADP
easat-3132	62	33	𝐹01(𝑡	𝐹01(𝑡	NOUN
easat-3132	62	34	)	)	PUNCT
easat-3132	62	35	under	under	ADP
easat-3132	62	36	the	the	DET
easat-3132	62	37	null	null	ADJ
easat-3132	62	38	hypothesis	hypothesis	NOUN
easat-3132	62	39	.	.	PUNCT
easat-3132	63	1	consequently	consequently	ADV
easat-3132	63	2	,	,	PUNCT
easat-3132	63	3	the	the	DET
easat-3132	63	4	probability	probability	NOUN
easat-3132	63	5	remains	remain	VERB
easat-3132	63	6	the	the	DET
easat-3132	63	7	same	same	ADJ
easat-3132	63	8	regardless	regardless	ADV
easat-3132	63	9	of	of	ADP
easat-3132	63	10	𝜏𝑖(𝑡	𝜏𝑖(𝑡	NUM
easat-3132	63	11	)	)	PUNCT
easat-3132	63	12	.	.	PUNCT
easat-3132	64	1	1	1	NUM
easat-3132	64	2	−	−	NUM
easat-3132	64	3	α	α	NOUN
easat-3132	64	4	=	=	SYM
easat-3132	64	5	pr{𝐹𝜏(𝑡	pr{𝐹𝜏(𝑡	NOUN
easat-3132	64	6	)	)	PUNCT
easat-3132	64	7	<	<	X
easat-3132	64	8	𝑓𝛼(𝑡	𝑓𝛼(𝑡	NOUN
easat-3132	64	9	)	)	PUNCT
easat-3132	64	10	|	|	ADV
easat-3132	64	11	𝐻0	𝐻0	PROPN
easat-3132	64	12	}	}	PUNCT
easat-3132	64	13	(	(	PUNCT
easat-3132	64	14	15	15	NUM
easat-3132	64	15	)	)	PUNCT
easat-3132	64	16	5148	5148	NUM
easat-3132	64	17	edelweiss	edelweiss	PROPN
easat-3132	64	18	applied	apply	VERB
easat-3132	64	19	science	science	NOUN
easat-3132	64	20	and	and	CCONJ
easat-3132	64	21	technology	technology	NOUN
easat-3132	64	22	issn	issn	PROPN
easat-3132	64	23	:	:	PUNCT
easat-3132	64	24	2576	2576	NUM
easat-3132	64	25	-	-	SYM
easat-3132	64	26	8484	8484	NUM
easat-3132	64	27	vol	vol	NOUN
easat-3132	64	28	.	.	PROPN
easat-3132	64	29	8	8	NUM
easat-3132	64	30	,	,	PUNCT
easat-3132	64	31	no	no	INTJ
easat-3132	64	32	.	.	NOUN
easat-3132	65	1	6	6	NUM
easat-3132	65	2	:	:	SYM
easat-3132	65	3	5145	5145	NUM
easat-3132	65	4	-	-	SYM
easat-3132	65	5	5149	5149	NUM
easat-3132	65	6	,	,	PUNCT
easat-3132	65	7	2024	2024	NUM
easat-3132	65	8	doi	doi	NOUN
easat-3132	65	9	:	:	PUNCT
easat-3132	65	10	10.55214/25768484.v8i6.3132	10.55214/25768484.v8i6.3132	NUM
easat-3132	65	11	©	©	PROPN
easat-3132	65	12	2024	2024	NUM
easat-3132	65	13	by	by	ADP
easat-3132	65	14	the	the	DET
easat-3132	65	15	author	author	NOUN
easat-3132	65	16	;	;	PUNCT
easat-3132	65	17	licensee	licensee	PROPN
easat-3132	65	18	learning	learning	NOUN
easat-3132	65	19	gate	gate	VERB
easat-3132	65	20	an	an	DET
easat-3132	65	21	approximate	approximate	ADJ
easat-3132	65	22	method	method	NOUN
easat-3132	65	23	for	for	ADP
easat-3132	65	24	multiple	multiple	ADJ
easat-3132	65	25	comparisons	comparison	NOUN
easat-3132	65	26	is	be	AUX
easat-3132	65	27	applied	apply	VERB
easat-3132	65	28	in	in	ADP
easat-3132	65	29	the	the	DET
easat-3132	65	30	standard	standard	ADJ
easat-3132	65	31	manner	manner	NOUN
easat-3132	65	32	when	when	SCONJ
easat-3132	65	33	𝑓𝛼(𝑡	𝑓𝛼(𝑡	NOUN
easat-3132	65	34	)	)	PUNCT
easat-3132	65	35	is	be	AUX
easat-3132	65	36	replaced	replace	VERB
easat-3132	65	37	with	with	ADP
easat-3132	65	38	its	its	PRON
easat-3132	65	39	conventional	conventional	ADJ
easat-3132	65	40	normal	normal	ADJ
easat-3132	65	41	theory	theory	NOUN
easat-3132	65	42	counterpart	counterpart	NOUN
easat-3132	65	43	,	,	PUNCT
easat-3132	65	44	which	which	PRON
easat-3132	65	45	is	be	AUX
easat-3132	65	46	based	base	VERB
easat-3132	65	47	on	on	ADP
easat-3132	65	48	the	the	DET
easat-3132	65	49	degrees	degree	NOUN
easat-3132	65	50	of	of	ADP
easat-3132	65	51	freedom	freedom	NOUN
easat-3132	65	52	of	of	ADP
easat-3132	65	53	(	(	PUNCT
easat-3132	65	54	r–1	r–1	NOUN
easat-3132	65	55	)	)	PUNCT
easat-3132	65	56	and	and	CCONJ
easat-3132	65	57	(	(	PUNCT
easat-3132	65	58	n	n	CCONJ
easat-3132	65	59	–	–	PUNCT
easat-3132	65	60	r	r	NOUN
easat-3132	65	61	)	)	PUNCT
easat-3132	65	62	.	.	PUNCT
easat-3132	66	1	scheffé	scheffé	INTJ
easat-3132	66	2	(	(	PUNCT
easat-3132	66	3	1959	1959	NUM
easat-3132	66	4	)	)	PUNCT
easat-3132	66	5	also	also	ADV
easat-3132	66	6	noted	note	VERB
easat-3132	66	7	that	that	SCONJ
easat-3132	66	8	approximating	approximate	VERB
easat-3132	66	9	𝑓𝛼(𝑡	𝑓𝛼(𝑡	NOUN
easat-3132	66	10	)	)	PUNCT
easat-3132	66	11	using	use	VERB
easat-3132	66	12	the	the	DET
easat-3132	66	13	100(1	100(1	NUM
easat-3132	66	14	–	–	PUNCT
easat-3132	66	15	α)%	α)%	NOUN
easat-3132	66	16	point	point	NOUN
easat-3132	66	17	of	of	ADP
easat-3132	66	18	a	a	DET
easat-3132	66	19	standard	standard	ADJ
easat-3132	66	20	f	f	NOUN
easat-3132	66	21	distribution	distribution	NOUN
easat-3132	66	22	with	with	ADP
easat-3132	66	23	synthesized	synthesize	VERB
easat-3132	66	24	degrees	degree	NOUN
easat-3132	66	25	of	of	ADP
easat-3132	66	26	freedom	freedom	NOUN
easat-3132	66	27	,	,	PUNCT
easat-3132	66	28	as	as	SCONJ
easat-3132	66	29	discussed	discuss	VERB
easat-3132	66	30	by	by	ADP
easat-3132	66	31	zerbe	zerbe	NOUN
easat-3132	66	32	(	(	PUNCT
easat-3132	66	33	1979	1979	NUM
easat-3132	66	34	)	)	PUNCT
easat-3132	66	35	,	,	PUNCT
easat-3132	66	36	is	be	AUX
easat-3132	66	37	not	not	PART
easat-3132	66	38	feasible	feasible	ADJ
easat-3132	66	39	for	for	ADP
easat-3132	66	40	constructing	construct	VERB
easat-3132	66	41	simultaneous	simultaneous	ADJ
easat-3132	66	42	confidence	confidence	NOUN
easat-3132	66	43	limits	limit	NOUN
easat-3132	66	44	.	.	PUNCT
easat-3132	67	1	this	this	PRON
easat-3132	67	2	is	be	AUX
easat-3132	67	3	because	because	SCONJ
easat-3132	67	4	the	the	DET
easat-3132	67	5	calculation	calculation	NOUN
easat-3132	67	6	depends	depend	VERB
easat-3132	67	7	on	on	ADP
easat-3132	67	8	unspecified	unspecified	ADJ
easat-3132	67	9	𝜏𝑖(𝑡)′𝑠	𝜏𝑖(𝑡)′𝑠	PROPN
easat-3132	67	10	values	value	NOUN
easat-3132	67	11	.	.	PUNCT
easat-3132	68	1	consequently	consequently	ADV
easat-3132	68	2	,	,	PUNCT
easat-3132	68	3	scheffé	scheffé	INTJ
easat-3132	68	4	(	(	PUNCT
easat-3132	68	5	1959	1959	NUM
easat-3132	68	6	)	)	PUNCT
easat-3132	68	7	pointed	point	VERB
easat-3132	68	8	out	out	ADP
easat-3132	68	9	that	that	SCONJ
easat-3132	68	10	the	the	DET
easat-3132	68	11	s	s	NOUN
easat-3132	68	12	-	-	PUNCT
easat-3132	68	13	procedure	procedure	NOUN
easat-3132	68	14	provides	provide	VERB
easat-3132	68	15	a	a	DET
easat-3132	68	16	reliable	reliable	ADJ
easat-3132	68	17	approximation	approximation	NOUN
easat-3132	68	18	within	within	ADP
easat-3132	68	19	the	the	DET
easat-3132	68	20	randomization	randomization	NOUN
easat-3132	68	21	model	model	NOUN
easat-3132	68	22	,	,	PUNCT
easat-3132	68	23	as	as	ADV
easat-3132	68	24	long	long	ADV
easat-3132	68	25	as	as	SCONJ
easat-3132	68	26	the	the	DET
easat-3132	68	27	normal	normal	ADJ
easat-3132	68	28	theory	theory	NOUN
easat-3132	68	29	test	test	NOUN
easat-3132	68	30	for	for	ADP
easat-3132	68	31	the	the	DET
easat-3132	68	32	global	global	ADJ
easat-3132	68	33	null	null	ADJ
easat-3132	68	34	hypothesis	hypothesis	NOUN
easat-3132	68	35	retains	retain	VERB
easat-3132	68	36	its	its	PRON
easat-3132	68	37	intended	intend	VERB
easat-3132	68	38	significance	significance	NOUN
easat-3132	68	39	level	level	NOUN
easat-3132	68	40	in	in	ADP
easat-3132	68	41	this	this	DET
easat-3132	68	42	model	model	NOUN
easat-3132	68	43	.	.	PUNCT
easat-3132	69	1	the	the	DET
easat-3132	69	2	exact	exact	ADJ
easat-3132	69	3	(	(	PUNCT
easat-3132	69	4	1	1	NUM
easat-3132	69	5	−	−	NOUN
easat-3132	69	6	α)-level	α)-level	NOUN
easat-3132	69	7	simultaneous	simultaneous	ADJ
easat-3132	69	8	confidence	confidence	NOUN
easat-3132	69	9	intervals	interval	NOUN
easat-3132	69	10	for	for	ADP
easat-3132	69	11	all	all	PRON
easat-3132	69	12	contrasts	contrast	NOUN
easat-3132	69	13	∑	∑	PUNCT
easat-3132	69	14	𝑐𝑖𝜃𝑖	𝑐𝑖𝜃𝑖	NOUN
easat-3132	69	15	𝑟	𝑟	X
easat-3132	69	16	𝑖=1	𝑖=1	PUNCT
easat-3132	69	17	using	use	VERB
easat-3132	69	18	the	the	DET
easat-3132	69	19	sprocedure	sprocedure	ADJ
easat-3132	69	20	work	work	NOUN
easat-3132	69	21	out	out	ADP
easat-3132	69	22	to	to	PART
easat-3132	69	23	be	be	AUX
easat-3132	69	24	∑	∑	PUNCT
easat-3132	69	25	𝑐𝑖𝜃𝑖	𝑐𝑖𝜃𝑖	NOUN
easat-3132	69	26	𝑟	𝑟	X
easat-3132	69	27	i=1	i=1	PROPN
easat-3132	69	28	∈	∈	PROPN
easat-3132	70	1	[	[	X
easat-3132	70	2	𝑐𝑖	𝑐𝑖	NOUN
easat-3132	70	3	�	�	NOUN
easat-3132	70	4	̅	̅	NOUN
easat-3132	70	5	�	�	NOUN
easat-3132	70	6	𝑖	𝑖	SYM
easat-3132	70	7	±	±	NOUN
easat-3132	70	8	{	{	PUNCT
easat-3132	70	9	(	(	PUNCT
easat-3132	70	10	𝑟	𝑟	NOUN
easat-3132	70	11	−	−	PROPN
easat-3132	70	12	1)𝐹𝛼(𝑟	1)𝐹𝛼(𝑟	NUM
easat-3132	70	13	−	−	PROPN
easat-3132	70	14	1	1	NUM
easat-3132	70	15	,	,	PUNCT
easat-3132	70	16	𝛿	𝛿	ADJ
easat-3132	70	17	)	)	PUNCT
easat-3132	70	18	}	}	PUNCT
easat-3132	70	19	1	1	NUM
easat-3132	70	20	2𝑆	2𝑆	PROPN
easat-3132	70	21	〈	〈	PROPN
easat-3132	70	22	∑	∑	PROPN
easat-3132	70	23	𝑐𝑖	𝑐𝑖	PROPN
easat-3132	70	24	𝑛𝑖	𝑛𝑖	PROPN
easat-3132	70	25	𝑟	𝑟	NOUN
easat-3132	70	26	𝑖=1	𝑖=1	PUNCT
easat-3132	70	27	〉	〉	NOUN
easat-3132	70	28	1	1	NUM
easat-3132	70	29	2	2	NUM
easat-3132	70	30	]	]	PUNCT
easat-3132	70	31	(	(	PUNCT
easat-3132	70	32	16	16	NUM
easat-3132	70	33	)	)	PUNCT
easat-3132	70	34	where	where	SCONJ
easat-3132	70	35	is	be	AUX
easat-3132	70	36	the	the	DET
easat-3132	70	37	sample	sample	NOUN
easat-3132	70	38	mean	mean	VERB
easat-3132	70	39	for	for	ADP
easat-3132	70	40	the	the	DET
easat-3132	70	41	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
easat-3132	70	42	treatment	treatment	NOUN
easat-3132	70	43	(	(	PUNCT
easat-3132	70	44	1	1	NUM
easat-3132	70	45	≤	≤	NUM
easat-3132	70	46	i	i	NOUN
easat-3132	70	47	≤	≤	ADJ
easat-3132	70	48	r	r	NOUN
easat-3132	70	49	)	)	PUNCT
easat-3132	70	50	and	and	CCONJ
easat-3132	70	51	𝑆2	𝑆2	PROPN
easat-3132	70	52	=	=	PUNCT
easat-3132	71	1	𝑀𝑆𝑒𝑟𝑟𝑜𝑟	𝑀𝑆𝑒𝑟𝑟𝑜𝑟	PROPN
easat-3132	71	2	,	,	PUNCT
easat-3132	71	3	with	with	ADP
easat-3132	71	4	𝛿	𝛿	PROPN
easat-3132	71	5	=	=	PUNCT
easat-3132	71	6	∑	∑	PROPN
easat-3132	71	7	𝑛𝑖	𝑛𝑖	PROPN
easat-3132	71	8	−	−	X
easat-3132	71	9	𝑟𝑟	𝑟𝑟	ADP
easat-3132	71	10	𝑖=1	𝑖=1	PROPN
easat-3132	71	11	degrees	degree	NOUN
easat-3132	71	12	of	of	ADP
easat-3132	71	13	freedom	freedom	NOUN
easat-3132	71	14	.	.	PUNCT
easat-3132	72	1	for	for	ADP
easat-3132	72	2	pairwise	pairwise	NOUN
easat-3132	72	3	comparisons	comparison	NOUN
easat-3132	72	4	,	,	PUNCT
easat-3132	72	5	the	the	DET
easat-3132	72	6	intervals	interval	NOUN
easat-3132	72	7	given	give	VERB
easat-3132	72	8	in	in	ADP
easat-3132	72	9	equation	equation	NOUN
easat-3132	72	10	(	(	PUNCT
easat-3132	72	11	16	16	NUM
easat-3132	72	12	)	)	PUNCT
easat-3132	72	13	simplify	simplify	NOUN
easat-3132	72	14	to	to	ADP
easat-3132	72	15	the	the	DET
easat-3132	72	16	following	follow	VERB
easat-3132	72	17	conservative	conservative	ADJ
easat-3132	72	18	(	(	PUNCT
easat-3132	72	19	)	)	PUNCT
easat-3132	72	20	-level	-level	NOUN
easat-3132	72	21	simultaneous	simultaneous	ADJ
easat-3132	72	22	confidence	confidence	NOUN
easat-3132	72	23	intervals	interval	NOUN
easat-3132	72	24	:	:	PUNCT
easat-3132	72	25	𝜃𝑖	𝜃𝑖	ADP
easat-3132	72	26	−	−	PROPN
easat-3132	72	27	𝜃𝑗	𝜃𝑗	NOUN
easat-3132	72	28	∈	∈	PROPN
easat-3132	72	29	[	[	X
easat-3132	72	30	�	�	NOUN
easat-3132	72	31	̅	̅	NOUN
easat-3132	72	32	�	�	NOUN
easat-3132	72	33	𝑖	𝑖	SYM
easat-3132	72	34	−	−	PROPN
easat-3132	72	35	�	�	PROPN
easat-3132	72	36	̅	̅	NOUN
easat-3132	72	37	�	�	NOUN
easat-3132	72	38	𝑗	𝑗	NOUN
easat-3132	72	39	±	±	X
easat-3132	72	40	{	{	PUNCT
easat-3132	72	41	(	(	PUNCT
easat-3132	72	42	𝑟	𝑟	NOUN
easat-3132	72	43	−	−	PROPN
easat-3132	72	44	1)𝐹𝛼(𝑟	1)𝐹𝛼(𝑟	NUM
easat-3132	72	45	−	−	PROPN
easat-3132	72	46	1	1	NUM
easat-3132	72	47	,	,	PUNCT
easat-3132	72	48	𝛿	𝛿	ADJ
easat-3132	72	49	)	)	PUNCT
easat-3132	72	50	}	}	SYM
easat-3132	72	51	1	1	NUM
easat-3132	72	52	2𝑆	2𝑆	NOUN
easat-3132	72	53	〈	〈	PROPN
easat-3132	72	54	1	1	NUM
easat-3132	72	55	𝑛𝑙	𝑛𝑙	VERB
easat-3132	72	56	+	+	NOUN
easat-3132	72	57	1	1	NUM
easat-3132	72	58	𝑛𝑚	𝑛𝑚	NOUN
easat-3132	72	59	〉	〉	NOUN
easat-3132	72	60	1	1	NUM
easat-3132	72	61	2	2	NUM
easat-3132	72	62	]	]	PUNCT
easat-3132	72	63	,	,	PUNCT
easat-3132	72	64	1	1	NUM
easat-3132	72	65	≤	≤	NOUN
easat-3132	72	66	𝑖	𝑖	PRON
easat-3132	72	67	<	<	X
easat-3132	72	68	𝑗	𝑗	PRON
easat-3132	72	69	≤	≤	ADJ
easat-3132	72	70	𝑟	𝑟	NOUN
easat-3132	72	71	(	(	PUNCT
easat-3132	72	72	17	17	NUM
easat-3132	72	73	)	)	PUNCT
easat-3132	72	74	we	we	PRON
easat-3132	72	75	now	now	ADV
easat-3132	72	76	extend	extend	VERB
easat-3132	72	77	these	these	DET
easat-3132	72	78	results	result	NOUN
easat-3132	72	79	from	from	ADP
easat-3132	72	80	a	a	DET
easat-3132	72	81	specific	specific	ADJ
easat-3132	72	82	point	point	NOUN
easat-3132	72	83	in	in	ADP
easat-3132	72	84	time	time	NOUN
easat-3132	72	85	to	to	ADP
easat-3132	72	86	a	a	DET
easat-3132	72	87	time	time	NOUN
easat-3132	72	88	interval	interval	NOUN
easat-3132	72	89	.	.	PUNCT
easat-3132	73	1	we	we	PRON
easat-3132	73	2	can	can	AUX
easat-3132	73	3	use	use	VERB
easat-3132	73	4	the	the	DET
easat-3132	73	5	confidence	confidence	NOUN
easat-3132	73	6	intervals	interval	NOUN
easat-3132	73	7	for	for	ADP
easat-3132	73	8	𝑐𝑙𝜏𝑙(𝑡	𝑐𝑙𝜏𝑙(𝑡	NOUN
easat-3132	73	9	)	)	PUNCT
easat-3132	73	10	−	−	PROPN
easat-3132	74	1	𝑐𝑚𝜏𝑚(𝑡	𝑐𝑚𝜏𝑚(𝑡	NOUN
easat-3132	74	2	)	)	PUNCT
easat-3132	74	3	,	,	PUNCT
easat-3132	74	4	.	.	PUNCT
easat-3132	75	1	𝑐𝑙𝜏𝑙(𝑡	𝑐𝑙𝜏𝑙(𝑡	NOUN
easat-3132	75	2	)	)	PUNCT
easat-3132	75	3	−	−	PROPN
easat-3132	75	4	𝑐𝑚𝜏𝑚(𝑡	𝑐𝑚𝜏𝑚(𝑡	NOUN
easat-3132	75	5	)	)	PUNCT
easat-3132	75	6	∈	∈	NOUN
easat-3132	76	1	[	[	X
easat-3132	76	2	(	(	PUNCT
easat-3132	76	3	𝑐𝑙	𝑐𝑙	NOUN
easat-3132	76	4	�	�	NOUN
easat-3132	76	5	̅	̅	NOUN
easat-3132	76	6	�	�	NOUN
easat-3132	76	7	𝑙.(𝑡	𝑙.(𝑡	NOUN
easat-3132	76	8	)	)	PUNCT
easat-3132	76	9	−	−	ADP
easat-3132	76	10	𝑐𝑚	𝑐𝑚	NOUN
easat-3132	76	11	�	�	NOUN
easat-3132	76	12	̅	̅	NOUN
easat-3132	76	13	�	�	NOUN
easat-3132	76	14	𝑚.(𝑡	𝑚.(𝑡	NOUN
easat-3132	76	15	)	)	PUNCT
easat-3132	76	16	)	)	PUNCT
easat-3132	76	17	±	±	NOUN
easat-3132	76	18	{	{	PUNCT
easat-3132	76	19	(	(	PUNCT
easat-3132	76	20	𝑟	𝑟	NOUN
easat-3132	76	21	−	−	PROPN
easat-3132	76	22	1)𝐹𝛼(𝑡	1)𝐹𝛼(𝑡	NUM
easat-3132	76	23	;	;	PUNCT
easat-3132	76	24	𝑟	𝑟	X
easat-3132	76	25	−	−	PROPN
easat-3132	76	26	1	1	NUM
easat-3132	76	27	,	,	PUNCT
easat-3132	76	28	𝑛	𝑛	DET
easat-3132	76	29	−	−	PROPN
easat-3132	76	30	𝑟)𝑆(𝑡	𝑟)𝑆(𝑡	PROPN
easat-3132	76	31	)	)	PUNCT
easat-3132	76	32	(	(	PUNCT
easat-3132	76	33	𝑐𝑙	𝑐𝑙	ADV
easat-3132	76	34	2	2	NUM
easat-3132	76	35	𝑛𝑙	𝑛𝑙	VERB
easat-3132	76	36	+	+	SYM
easat-3132	76	37	𝑐𝑚	𝑐𝑚	PROPN
easat-3132	76	38	2	2	NUM
easat-3132	76	39	𝑛𝑚	𝑛𝑚	NOUN
easat-3132	76	40	}	}	PUNCT
easat-3132	76	41	1	1	NUM
easat-3132	76	42	2	2	NUM
easat-3132	76	43	]	]	PUNCT
easat-3132	76	44	(	(	PUNCT
easat-3132	76	45	18	18	NUM
easat-3132	76	46	)	)	PUNCT
easat-3132	76	47	where	where	SCONJ
easat-3132	76	48	s(t	s(t	VERB
easat-3132	76	49	)	)	PUNCT
easat-3132	76	50	=	=	PUNCT
easat-3132	77	1	𝑊𝛼(𝑡)/(𝑛	𝑊𝛼(𝑡)/(𝑛	NOUN
easat-3132	77	2	−	−	NUM
easat-3132	78	1	𝑟	𝑟	NOUN
easat-3132	78	2	)	)	PUNCT
easat-3132	78	3	.	.	PUNCT
easat-3132	79	1	for	for	ADP
easat-3132	79	2	pairwise	pairwise	NOUN
easat-3132	79	3	comparison	comparison	NOUN
easat-3132	79	4	,	,	PUNCT
easat-3132	79	5	when	when	SCONJ
easat-3132	79	6	we	we	PRON
easat-3132	79	7	take	take	VERB
easat-3132	79	8	𝑐𝑙	𝑐𝑙	PRON
easat-3132	79	9	=	=	SYM
easat-3132	79	10	1	1	NUM
easat-3132	79	11	and	and	CCONJ
easat-3132	79	12	𝑐𝑚	𝑐𝑚	NOUN
easat-3132	79	13	=	=	SYM
easat-3132	79	14	−1	−1	NOUN
easat-3132	79	15	,	,	PUNCT
easat-3132	79	16	the	the	DET
easat-3132	79	17	intervals	interval	NOUN
easat-3132	79	18	given	give	VERB
easat-3132	79	19	by	by	ADP
easat-3132	79	20	equation	equation	NOUN
easat-3132	79	21	(	(	PUNCT
easat-3132	79	22	18	18	NUM
easat-3132	79	23	)	)	PUNCT
easat-3132	79	24	simplify	simplify	NOUN
easat-3132	79	25	to	to	ADP
easat-3132	79	26	the	the	DET
easat-3132	79	27	following	follow	VERB
easat-3132	79	28	conservative	conservative	ADJ
easat-3132	79	29	(	(	PUNCT
easat-3132	79	30	)	)	PUNCT
easat-3132	79	31	-level	-level	NOUN
easat-3132	79	32	simultaneous	simultaneous	ADJ
easat-3132	79	33	confidence	confidence	NOUN
easat-3132	79	34	intervals	interval	NOUN
easat-3132	79	35	:	:	PUNCT
easat-3132	79	36	𝜏𝑙(𝑡	𝜏𝑙(𝑡	NUM
easat-3132	79	37	)	)	PUNCT
easat-3132	79	38	−	−	NOUN
easat-3132	79	39	𝜏𝑚(𝑡	𝜏𝑚(𝑡	NOUN
easat-3132	79	40	)	)	PUNCT
easat-3132	79	41	∈	∈	PROPN
easat-3132	80	1	[	[	X
easat-3132	80	2	(	(	PUNCT
easat-3132	80	3	�	�	NOUN
easat-3132	80	4	̅	̅	NOUN
easat-3132	80	5	�	�	NOUN
easat-3132	80	6	𝑙.(𝑡	𝑙.(𝑡	NOUN
easat-3132	80	7	)	)	PUNCT
easat-3132	80	8	−	−	PROPN
easat-3132	80	9	�	�	NOUN
easat-3132	80	10	̅	̅	NOUN
easat-3132	80	11	�	�	NOUN
easat-3132	80	12	𝑚.(𝑡	𝑚.(𝑡	NOUN
easat-3132	80	13	)	)	PUNCT
easat-3132	80	14	)	)	PUNCT
easat-3132	80	15	±	±	NOUN
easat-3132	80	16	{	{	PUNCT
easat-3132	80	17	(	(	PUNCT
easat-3132	80	18	𝑟	𝑟	NOUN
easat-3132	80	19	−	−	PROPN
easat-3132	80	20	1)𝐹𝛼(𝑡	1)𝐹𝛼(𝑡	NUM
easat-3132	80	21	;	;	PUNCT
easat-3132	80	22	𝑟	𝑟	X
easat-3132	80	23	−	−	PROPN
easat-3132	80	24	1	1	NUM
easat-3132	80	25	,	,	PUNCT
easat-3132	80	26	𝑛	𝑛	DET
easat-3132	80	27	−	−	PROPN
easat-3132	80	28	𝑟)𝑆(𝑡	𝑟)𝑆(𝑡	PROPN
easat-3132	80	29	)	)	PUNCT
easat-3132	80	30	(	(	PUNCT
easat-3132	80	31	1	1	NUM
easat-3132	80	32	𝑛𝑙	𝑛𝑙	VERB
easat-3132	80	33	+	+	NOUN
easat-3132	80	34	1	1	NUM
easat-3132	80	35	𝑛𝑚	𝑛𝑚	NOUN
easat-3132	80	36	)	)	PUNCT
easat-3132	80	37	}	}	PUNCT
easat-3132	80	38	1	1	NUM
easat-3132	80	39	2	2	NUM
easat-3132	80	40	]	]	PUNCT
easat-3132	80	41	(	(	PUNCT
easat-3132	80	42	19	19	NUM
easat-3132	80	43	)	)	PUNCT
easat-3132	80	44	for	for	ADP
easat-3132	80	45	testing	test	VERB
easat-3132	80	46	null	null	ADJ
easat-3132	80	47	hypothesis	hypothesis	NOUN
easat-3132	80	48	(	(	PUNCT
easat-3132	80	49	13	13	NUM
easat-3132	80	50	)	)	PUNCT
easat-3132	80	51	,	,	PUNCT
easat-3132	80	52	the	the	DET
easat-3132	80	53	f	f	NOUN
easat-3132	80	54	-	-	PUNCT
easat-3132	80	55	test	test	NOUN
easat-3132	80	56	rejects	reject	VERB
easat-3132	80	57	𝐻0	𝐻0	PROPN
easat-3132	80	58	at	at	ADP
easat-3132	80	59	level	level	NOUN
easat-3132	80	60	α	α	NOUN
easat-3132	80	61	when	when	SCONJ
easat-3132	80	62	𝐹02	𝐹02	PROPN
easat-3132	80	63	=	=	SYM
easat-3132	80	64	(	(	PUNCT
easat-3132	80	65	�	�	NOUN
easat-3132	80	66	̅	̅	NOUN
easat-3132	80	67	�	�	NOUN
easat-3132	80	68	𝑙.(𝑡)−	𝑙.(𝑡)−	SYM
easat-3132	80	69	�	�	NOUN
easat-3132	80	70	̅	̅	NOUN
easat-3132	80	71	�	�	NOUN
easat-3132	80	72	𝑚.(𝑡	𝑚.(𝑡	NOUN
easat-3132	80	73	)	)	PUNCT
easat-3132	80	74	)	)	PUNCT
easat-3132	80	75	2	2	NUM
easat-3132	80	76	𝑆(𝑡	𝑆(𝑡	NUM
easat-3132	80	77	)	)	PUNCT
easat-3132	80	78	(	(	PUNCT
easat-3132	80	79	1	1	NUM
easat-3132	80	80	𝑛𝑙	𝑛𝑙	VERB
easat-3132	80	81	+	+	NOUN
easat-3132	80	82	1	1	NUM
easat-3132	80	83	𝑛𝑚	𝑛𝑚	NOUN
easat-3132	80	84	)	)	PUNCT
easat-3132	80	85	>	>	X
easat-3132	81	1	𝐹𝛼(𝑡	𝐹𝛼(𝑡	ADJ
easat-3132	81	2	;	;	PUNCT
easat-3132	81	3	𝑟	𝑟	X
easat-3132	81	4	−	−	PROPN
easat-3132	81	5	1	1	NUM
easat-3132	81	6	,	,	PUNCT
easat-3132	81	7	𝑛	𝑛	PRON
easat-3132	81	8	−	−	PROPN
easat-3132	81	9	𝑟	𝑟	NOUN
easat-3132	81	10	)	)	PUNCT
easat-3132	81	11	(	(	PUNCT
easat-3132	81	12	20	20	NUM
easat-3132	81	13	)	)	PUNCT
easat-3132	81	14	the	the	DET
easat-3132	81	15	test	test	NOUN
easat-3132	81	16	procedure	procedure	NOUN
easat-3132	81	17	based	base	VERB
easat-3132	81	18	on	on	ADP
easat-3132	81	19	equation	equation	NOUN
easat-3132	81	20	(	(	PUNCT
easat-3132	81	21	20	20	NUM
easat-3132	81	22	)	)	PUNCT
easat-3132	81	23	is	be	AUX
easat-3132	81	24	commonly	commonly	ADV
easat-3132	81	25	known	know	VERB
easat-3132	81	26	as	as	ADP
easat-3132	81	27	the	the	DET
easat-3132	81	28	fully	fully	ADV
easat-3132	81	29	significant	significant	ADJ
easat-3132	81	30	difference	difference	NOUN
easat-3132	81	31	in	in	ADP
easat-3132	81	32	the	the	DET
easat-3132	81	33	literature	literature	NOUN
easat-3132	81	34	.	.	PUNCT
easat-3132	82	1	5149	5149	NUM
easat-3132	82	2	edelweiss	edelweiss	PROPN
easat-3132	82	3	applied	apply	VERB
easat-3132	82	4	science	science	NOUN
easat-3132	82	5	and	and	CCONJ
easat-3132	82	6	technology	technology	NOUN
easat-3132	82	7	issn	issn	PROPN
easat-3132	82	8	:	:	PUNCT
easat-3132	82	9	2576	2576	NUM
easat-3132	82	10	-	-	SYM
easat-3132	82	11	8484	8484	NUM
easat-3132	82	12	vol	vol	NOUN
easat-3132	82	13	.	.	PROPN
easat-3132	82	14	8	8	NUM
easat-3132	82	15	,	,	PUNCT
easat-3132	82	16	no	no	INTJ
easat-3132	82	17	.	.	NOUN
easat-3132	83	1	6	6	NUM
easat-3132	83	2	:	:	SYM
easat-3132	83	3	5145	5145	NUM
easat-3132	83	4	-	-	SYM
easat-3132	83	5	5149	5149	NUM
easat-3132	83	6	,	,	PUNCT
easat-3132	83	7	2024	2024	NUM
easat-3132	83	8	doi	doi	NOUN
easat-3132	83	9	:	:	PUNCT
easat-3132	83	10	10.55214/25768484.v8i6.3132	10.55214/25768484.v8i6.3132	NUM
easat-3132	83	11	©	©	PROPN
easat-3132	83	12	2024	2024	NUM
easat-3132	83	13	by	by	ADP
easat-3132	83	14	the	the	DET
easat-3132	83	15	author	author	NOUN
easat-3132	83	16	;	;	PUNCT
easat-3132	83	17	licensee	licensee	PROPN
easat-3132	83	18	learning	learning	NOUN
easat-3132	83	19	gate	gate	NOUN
easat-3132	83	20	4	4	NUM
easat-3132	83	21	.	.	PUNCT
easat-3132	83	22	conclusion	conclusion	NOUN
easat-3132	83	23	potthoff	potthoff	NOUN
easat-3132	83	24	and	and	CCONJ
easat-3132	83	25	roy	roy	PROPN
easat-3132	83	26	(	(	PUNCT
easat-3132	83	27	1964	1964	NUM
easat-3132	83	28	)	)	PUNCT
easat-3132	83	29	investigated	investigate	VERB
easat-3132	83	30	homoscedasticity	homoscedasticity	NOUN
easat-3132	83	31	testing	testing	NOUN
easat-3132	83	32	and	and	CCONJ
easat-3132	83	33	the	the	DET
easat-3132	83	34	inference	inference	NOUN
easat-3132	83	35	of	of	ADP
easat-3132	83	36	growth	growth	NOUN
easat-3132	83	37	curve	curve	NOUN
easat-3132	83	38	coefficients	coefficient	NOUN
easat-3132	83	39	.	.	PUNCT
easat-3132	84	1	subsequent	subsequent	ADJ
easat-3132	84	2	research	research	NOUN
easat-3132	84	3	has	have	AUX
easat-3132	84	4	expanded	expand	VERB
easat-3132	84	5	their	their	PRON
easat-3132	84	6	findings	finding	NOUN
easat-3132	84	7	to	to	PART
easat-3132	84	8	explore	explore	VERB
easat-3132	84	9	various	various	ADJ
easat-3132	84	10	aspects	aspect	NOUN
easat-3132	84	11	of	of	ADP
easat-3132	84	12	growth	growth	NOUN
easat-3132	84	13	curve	curve	NOUN
easat-3132	84	14	inference	inference	NOUN
easat-3132	84	15	.	.	PUNCT
easat-3132	85	1	however	however	ADV
easat-3132	85	2	,	,	PUNCT
easat-3132	85	3	research	research	NOUN
easat-3132	85	4	on	on	ADP
easat-3132	85	5	the	the	DET
easat-3132	85	6	randomized	randomized	ADJ
easat-3132	85	7	growth	growth	NOUN
easat-3132	85	8	curve	curve	NOUN
easat-3132	85	9	model	model	NOUN
easat-3132	85	10	introduced	introduce	VERB
easat-3132	85	11	by	by	ADP
easat-3132	85	12	zerbe	zerbe	NOUN
easat-3132	85	13	(	(	PUNCT
easat-3132	85	14	1979	1979	NUM
easat-3132	85	15	)	)	PUNCT
easat-3132	85	16	remains	remain	VERB
easat-3132	85	17	relatively	relatively	ADV
easat-3132	85	18	sparse	sparse	ADJ
easat-3132	85	19	,	,	PUNCT
easat-3132	85	20	primarily	primarily	ADV
easat-3132	85	21	given	give	VERB
easat-3132	85	22	its	its	PRON
easat-3132	85	23	lower	low	ADJ
easat-3132	85	24	prominence	prominence	NOUN
easat-3132	85	25	compared	compare	VERB
easat-3132	85	26	with	with	ADP
easat-3132	85	27	the	the	DET
easat-3132	85	28	model	model	NOUN
easat-3132	85	29	developed	develop	VERB
easat-3132	85	30	by	by	ADP
easat-3132	85	31	potthoff	potthoff	NOUN
easat-3132	85	32	and	and	CCONJ
easat-3132	85	33	roy	roy	PROPN
easat-3132	85	34	.	.	PROPN
easat-3132	86	1	in	in	ADP
easat-3132	86	2	this	this	DET
easat-3132	86	3	study	study	NOUN
easat-3132	86	4	,	,	PUNCT
easat-3132	86	5	we	we	PRON
easat-3132	86	6	propose	propose	VERB
easat-3132	86	7	utilizing	utilize	VERB
easat-3132	86	8	the	the	DET
easat-3132	86	9	s	s	NOUN
easat-3132	86	10	-	-	PUNCT
easat-3132	86	11	procedure	procedure	NOUN
easat-3132	86	12	to	to	PART
easat-3132	86	13	identify	identify	VERB
easat-3132	86	14	significant	significant	ADJ
easat-3132	86	15	differences	difference	NOUN
easat-3132	86	16	in	in	ADP
easat-3132	86	17	multiple	multiple	ADJ
easat-3132	86	18	comparisons	comparison	NOUN
easat-3132	86	19	within	within	ADP
easat-3132	86	20	the	the	DET
easat-3132	86	21	context	context	NOUN
easat-3132	86	22	of	of	ADP
easat-3132	86	23	completely	completely	ADV
easat-3132	86	24	randomized	randomized	ADJ
easat-3132	86	25	growth	growth	NOUN
easat-3132	86	26	curve	curve	NOUN
easat-3132	86	27	models	model	NOUN
easat-3132	86	28	.	.	PUNCT
easat-3132	87	1	the	the	DET
easat-3132	87	2	standard	standard	ADJ
easat-3132	87	3	test	test	NOUN
easat-3132	87	4	is	be	AUX
easat-3132	87	5	demonstrated	demonstrate	VERB
easat-3132	87	6	to	to	PART
easat-3132	87	7	be	be	AUX
easat-3132	87	8	an	an	DET
easat-3132	87	9	effective	effective	ADJ
easat-3132	87	10	tool	tool	NOUN
easat-3132	87	11	for	for	ADP
easat-3132	87	12	conducting	conduct	VERB
easat-3132	87	13	multiple	multiple	ADJ
easat-3132	87	14	comparisons	comparison	NOUN
easat-3132	87	15	within	within	ADP
easat-3132	87	16	this	this	DET
easat-3132	87	17	model	model	NOUN
easat-3132	87	18	.	.	PUNCT
easat-3132	88	1	we	we	PRON
easat-3132	88	2	also	also	ADV
easat-3132	88	3	demonstrate	demonstrate	VERB
easat-3132	88	4	that	that	SCONJ
easat-3132	88	5	the	the	DET
easat-3132	88	6	proposed	propose	VERB
easat-3132	88	7	method	method	NOUN
easat-3132	88	8	can	can	AUX
easat-3132	88	9	successfully	successfully	ADV
easat-3132	88	10	compare	compare	VERB
easat-3132	88	11	growth	growth	NOUN
easat-3132	88	12	curve	curve	NOUN
easat-3132	88	13	coefficients	coefficient	NOUN
easat-3132	88	14	between	between	ADP
easat-3132	88	15	groups	group	NOUN
easat-3132	88	16	.	.	PUNCT
easat-3132	89	1	nonetheless	nonetheless	ADV
easat-3132	89	2	,	,	PUNCT
easat-3132	89	3	additional	additional	ADJ
easat-3132	89	4	research	research	NOUN
easat-3132	89	5	is	be	AUX
easat-3132	89	6	warranted	warrant	VERB
easat-3132	89	7	to	to	PART
easat-3132	89	8	address	address	VERB
easat-3132	89	9	scenarios	scenario	NOUN
easat-3132	89	10	involving	involve	VERB
easat-3132	89	11	a	a	DET
easat-3132	89	12	larger	large	ADJ
easat-3132	89	13	number	number	NOUN
easat-3132	89	14	of	of	ADP
easat-3132	89	15	groups	group	NOUN
easat-3132	89	16	and	and	CCONJ
easat-3132	89	17	coefficients	coefficient	NOUN
easat-3132	89	18	within	within	ADP
easat-3132	89	19	the	the	DET
easat-3132	89	20	growth	growth	NOUN
easat-3132	89	21	curve	curve	NOUN
easat-3132	89	22	model	model	NOUN
easat-3132	89	23	.	.	PUNCT
easat-3132	90	1	acknowledgement	acknowledgement	NOUN
easat-3132	90	2	:	:	PUNCT
easat-3132	90	3	this	this	DET
easat-3132	90	4	work	work	NOUN
easat-3132	90	5	was	be	AUX
easat-3132	90	6	supported	support	VERB
easat-3132	90	7	by	by	ADP
easat-3132	90	8	the	the	DET
easat-3132	90	9	2024	2024	NUM
easat-3132	90	10	dongguk	dongguk	PROPN
easat-3132	90	11	university	university	NOUN
easat-3132	90	12	research	research	NOUN
easat-3132	90	13	fund	fund	NOUN
easat-3132	90	14	.	.	PUNCT
easat-3132	91	1	copyright	copyright	NOUN
easat-3132	91	2	:	:	PUNCT
easat-3132	91	3	©	©	PROPN
easat-3132	91	4	2024	2024	NUM
easat-3132	91	5	by	by	ADP
easat-3132	91	6	the	the	DET
easat-3132	91	7	authors	author	NOUN
easat-3132	91	8	.	.	PUNCT
easat-3132	92	1	this	this	DET
easat-3132	92	2	article	article	NOUN
easat-3132	92	3	is	be	AUX
easat-3132	92	4	an	an	DET
easat-3132	92	5	open	open	ADJ
easat-3132	92	6	access	access	NOUN
easat-3132	92	7	article	article	NOUN
easat-3132	92	8	distributed	distribute	VERB
easat-3132	92	9	under	under	ADP
easat-3132	92	10	the	the	DET
easat-3132	92	11	terms	term	NOUN
easat-3132	92	12	and	and	CCONJ
easat-3132	92	13	conditions	condition	NOUN
easat-3132	92	14	of	of	ADP
easat-3132	92	15	the	the	DET
easat-3132	92	16	creative	creative	ADJ
easat-3132	92	17	commons	common	NOUN
easat-3132	92	18	attribution	attribution	NOUN
easat-3132	92	19	(	(	PUNCT
easat-3132	92	20	cc	cc	NOUN
easat-3132	92	21	by	by	ADP
easat-3132	92	22	)	)	PUNCT
easat-3132	92	23	license	license	NOUN
easat-3132	92	24	(	(	PUNCT
easat-3132	92	25	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-3132	92	26	)	)	PUNCT
easat-3132	92	27	.	.	PUNCT
easat-3132	93	1	references	reference	NOUN
easat-3132	93	2	[	[	X
easat-3132	93	3	1	1	NUM
easat-3132	93	4	]	]	PUNCT
easat-3132	93	5	anderson	anderson	PROPN
easat-3132	93	6	,	,	PUNCT
easat-3132	93	7	m.	m.	PROPN
easat-3132	93	8	b.	b.	PROPN
easat-3132	93	9	g.	g.	PROPN
easat-3132	93	10	,	,	PUNCT
easat-3132	93	11	&	&	CCONJ
easat-3132	93	12	iwanicki	iwanicki	PROPN
easat-3132	93	13	,	,	PUNCT
easat-3132	93	14	e.	e.	PROPN
easat-3132	93	15	f.	f.	PROPN
easat-3132	93	16	(	(	PUNCT
easat-3132	93	17	1984	1984	NUM
easat-3132	93	18	)	)	PUNCT
easat-3132	93	19	.	.	PUNCT
easat-3132	94	1	teacher	teacher	NOUN
easat-3132	94	2	motivation	motivation	NOUN
easat-3132	94	3	and	and	CCONJ
easat-3132	94	4	its	its	PRON
easat-3132	94	5	relationship	relationship	NOUN
easat-3132	94	6	to	to	ADP
easat-3132	94	7	burnout	burnout	NOUN
easat-3132	94	8	.	.	PUNCT
easat-3132	95	1	educational	educational	ADJ
easat-3132	95	2	administration	administration	PROPN
easat-3132	95	3	quarterly	quarterly	PROPN
easat-3132	95	4	,	,	PUNCT
easat-3132	95	5	20(2	20(2	NUM
easat-3132	95	6	)	)	PUNCT
easat-3132	95	7	,	,	PUNCT
easat-3132	95	8	109	109	NUM
easat-3132	95	9	-	-	SYM
easat-3132	95	10	132	132	NUM
easat-3132	95	11	.	.	PUNCT
easat-3132	95	12	https://doi.org/10.1177/0013161x84020002007	https://doi.org/10.1177/0013161x84020002007	X
easat-3132	96	1	[	[	X
easat-3132	96	2	2	2	NUM
easat-3132	96	3	]	]	PUNCT
easat-3132	96	4	baker	baker	PROPN
easat-3132	96	5	,	,	PUNCT
easat-3132	96	6	f.b	f.b	PROPN
easat-3132	96	7	.	.	PROPN
easat-3132	96	8	and	and	CCONJ
easat-3132	96	9	collier	collier	PROPN
easat-3132	96	10	,	,	PUNCT
easat-3132	96	11	r.o	r.o	PROPN
easat-3132	96	12	.	.	PROPN
easat-3132	96	13	,jr	,jr	PROPN
easat-3132	96	14	.	.	PUNCT
easat-3132	97	1	"	"	PUNCT
easat-3132	97	2	some	some	DET
easat-3132	97	3	empirical	empirical	ADJ
easat-3132	97	4	results	result	NOUN
easat-3132	97	5	on	on	ADP
easat-3132	97	6	variance	variance	NOUN
easat-3132	97	7	ratios	ratio	NOUN
easat-3132	97	8	under	under	ADP
easat-3132	97	9	permutation	permutation	NOUN
easat-3132	97	10	in	in	ADP
easat-3132	97	11	the	the	DET
easat-3132	97	12	completely	completely	ADV
easat-3132	97	13	randomized	randomized	ADJ
easat-3132	97	14	design	design	NOUN
easat-3132	97	15	"	"	PUNCT
easat-3132	97	16	,	,	PUNCT
easat-3132	97	17	journal	journal	NOUN
easat-3132	97	18	of	of	ADP
easat-3132	97	19	the	the	DET
easat-3132	97	20	american	american	PROPN
easat-3132	97	21	statistical	statistical	PROPN
easat-3132	97	22	association	association	PROPN
easat-3132	97	23	,	,	PUNCT
easat-3132	97	24	vol	vol	NOUN
easat-3132	97	25	.	.	PROPN
easat-3132	97	26	61	61	NUM
easat-3132	97	27	,	,	PUNCT
easat-3132	97	28	813	813	NUM
easat-3132	97	29	-	-	SYM
easat-3132	97	30	820	820	NUM
easat-3132	97	31	.	.	PUNCT
easat-3132	98	1	[	[	X
easat-3132	98	2	3	3	NUM
easat-3132	98	3	]	]	X
easat-3132	98	4	bakker	bakker	NOUN
easat-3132	98	5	,	,	PUNCT
easat-3132	98	6	a.	a.	PROPN
easat-3132	98	7	b.	b.	PROPN
easat-3132	98	8	,	,	PUNCT
easat-3132	98	9	&	&	CCONJ
easat-3132	98	10	demerouti	demerouti	PROPN
easat-3132	98	11	,	,	PUNCT
easat-3132	98	12	e.	e.	PROPN
easat-3132	98	13	(	(	PUNCT
easat-3132	98	14	2014	2014	NUM
easat-3132	98	15	)	)	PUNCT
easat-3132	98	16	.	.	PUNCT
easat-3132	99	1	job	job	NOUN
easat-3132	99	2	demands	demand	NOUN
easat-3132	99	3	–	–	PUNCT
easat-3132	99	4	resources	resource	NOUN
easat-3132	99	5	theory	theory	NOUN
easat-3132	99	6	.	.	PUNCT
easat-3132	100	1	wellbeing	wellbee	VERB
easat-3132	100	2	:	:	PUNCT
easat-3132	100	3	a	a	DET
easat-3132	100	4	complete	complete	ADJ
easat-3132	100	5	reference	reference	NOUN
easat-3132	100	6	guide	guide	NOUN
easat-3132	100	7	,	,	PUNCT
easat-3132	100	8	(	(	PUNCT
easat-3132	100	9	pp1	pp1	NOUN
easat-3132	100	10	-	-	PUNCT
easat-3132	100	11	28	28	NUM
easat-3132	100	12	)	)	PUNCT
easat-3132	100	13	.	.	PUNCT
easat-3132	101	1	john	john	PROPN
easat-3132	101	2	wiley	wiley	PROPN
easat-3132	101	3	&	&	CCONJ
easat-3132	101	4	sons	son	NOUN
easat-3132	101	5	.	.	PUNCT
easat-3132	102	1	https://doi.org/10.1002/9781118539415.wbwell019	https://doi.org/10.1002/9781118539415.wbwell019	PROPN
easat-3132	103	1	[	[	X
easat-3132	103	2	4	4	NUM
easat-3132	103	3	]	]	X
easat-3132	103	4	brown	brown	ADJ
easat-3132	103	5	,	,	PUNCT
easat-3132	103	6	t.	t.	NOUN
easat-3132	103	7	a.	a.	NOUN
easat-3132	103	8	(	(	PUNCT
easat-3132	103	9	2014	2014	NUM
easat-3132	103	10	)	)	PUNCT
easat-3132	103	11	.	.	PUNCT
easat-3132	104	1	confirmatory	confirmatory	NOUN
easat-3132	104	2	factor	factor	NOUN
easat-3132	104	3	analysis	analysis	NOUN
easat-3132	104	4	for	for	ADP
easat-3132	104	5	applied	applied	ADJ
easat-3132	104	6	research	research	NOUN
easat-3132	104	7	.	.	PUNCT
easat-3132	105	1	guilford	guilford	PROPN
easat-3132	105	2	publications	publication	NOUN
easat-3132	105	3	.	.	PUNCT
easat-3132	106	1	[	[	X
easat-3132	106	2	5	5	NUM
easat-3132	106	3	]	]	PUNCT
easat-3132	106	4	burn	burn	NOUN
easat-3132	106	5	,	,	PUNCT
easat-3132	106	6	k.	k.	PROPN
easat-3132	106	7	(	(	PUNCT
easat-3132	106	8	2007	2007	NUM
easat-3132	106	9	)	)	PUNCT
easat-3132	106	10	.	.	PUNCT
easat-3132	107	1	professional	professional	ADJ
easat-3132	107	2	knowledge	knowledge	NOUN
easat-3132	107	3	and	and	CCONJ
easat-3132	107	4	identity	identity	NOUN
easat-3132	107	5	in	in	ADP
easat-3132	107	6	a	a	DET
easat-3132	107	7	contested	contested	ADJ
easat-3132	107	8	discipline	discipline	NOUN
easat-3132	107	9	:	:	PUNCT
easat-3132	107	10	challenges	challenge	NOUN
easat-3132	107	11	for	for	ADP
easat-3132	107	12	student	student	NOUN
easat-3132	107	13	teachers	teacher	NOUN
easat-3132	107	14	and	and	CCONJ
easat-3132	107	15	teacher	teacher	NOUN
easat-3132	107	16	educators	educator	NOUN
easat-3132	107	17	.	.	PUNCT
easat-3132	108	1	oxford	oxford	PROPN
easat-3132	108	2	review	review	PROPN
easat-3132	108	3	of	of	ADP
easat-3132	108	4	education	education	NOUN
easat-3132	108	5	,	,	PUNCT
easat-3132	108	6	33(4	33(4	NUM
easat-3132	108	7	)	)	PUNCT
easat-3132	108	8	,	,	PUNCT
easat-3132	108	9	445	445	NUM
easat-3132	108	10	-	-	SYM
easat-3132	108	11	467	467	NUM
easat-3132	108	12	.	.	PUNCT
easat-3132	108	13	https://doi.org/10.1080/03054980701450886	https://doi.org/10.1080/03054980701450886	X
easat-3132	109	1	[	[	X
easat-3132	109	2	6	6	NUM
easat-3132	109	3	]	]	PUNCT
easat-3132	109	4	frey	frey	PROPN
easat-3132	109	5	,	,	PUNCT
easat-3132	109	6	k.s	k.s	PROPN
easat-3132	109	7	.	.	PROPN
easat-3132	109	8	,	,	PUNCT
easat-3132	109	9	potter	potter	PROPN
easat-3132	109	10	,	,	PUNCT
easat-3132	109	11	g.d	g.d	PROPN
easat-3132	109	12	.	.	PROPN
easat-3132	109	13	,	,	PUNCT
easat-3132	109	14	odom	odom	PROPN
easat-3132	109	15	,	,	PUNCT
easat-3132	109	16	t.w	t.w	PROPN
easat-3132	109	17	.	.	PROPN
easat-3132	109	18	,	,	PUNCT
easat-3132	109	19	senor	senor	PROPN
easat-3132	109	20	,	,	PUNCT
easat-3132	109	21	m.a	m.a	PROPN
easat-3132	109	22	.	.	PROPN
easat-3132	109	23	,	,	PUNCT
easat-3132	109	24	reagan	reagan	PROPN
easat-3132	109	25	,	,	PUNCT
easat-3132	109	26	v.d	v.d	PROPN
easat-3132	109	27	.	.	PROPN
easat-3132	109	28	,	,	PUNCT
easat-3132	109	29	weir	weir	PROPN
easat-3132	109	30	,	,	PUNCT
easat-3132	109	31	v.h	v.h	PROPN
easat-3132	109	32	.	.	PROPN
easat-3132	109	33	,	,	PUNCT
easat-3132	109	34	elslander	elslander	NOUN
easat-3132	109	35	,	,	PUNCT
easat-3132	109	36	r.v.t	r.v.t	NOUN
easat-3132	109	37	.	.	PUNCT
easat-3132	109	38	,	,	PUNCT
easat-3132	109	39	webb	webb	PROPN
easat-3132	109	40	,	,	PUNCT
easat-3132	109	41	m.s	m.s	PROPN
easat-3132	109	42	.	.	PROPN
easat-3132	109	43	,	,	PUNCT
easat-3132	109	44	morris	morris	PROPN
easat-3132	109	45	,	,	PUNCT
easat-3132	109	46	e.l	e.l	PROPN
easat-3132	109	47	.	.	PROPN
easat-3132	109	48	smith	smith	PROPN
easat-3132	109	49	,	,	PUNCT
easat-3132	109	50	w.b	w.b	PROPN
easat-3132	109	51	.	.	PROPN
easat-3132	109	52	and	and	CCONJ
easat-3132	109	53	weigand	weigand	PROPN
easat-3132	109	54	,	,	PUNCT
easat-3132	109	55	k.e	k.e	PROPN
easat-3132	109	56	.	.	PROPN
easat-3132	109	57	,	,	PUNCT
easat-3132	109	58	"	"	PUNCT
easat-3132	109	59	plasma	plasma	NOUN
easat-3132	109	60	silicon	silicon	NOUN
easat-3132	109	61	and	and	CCONJ
easat-3132	109	62	radiographic	radiographic	ADJ
easat-3132	109	63	bone	bone	NOUN
easat-3132	109	64	density	density	NOUN
easat-3132	109	65	on	on	ADP
easat-3132	109	66	weanling	weanle	VERB
easat-3132	109	67	quarter	quarter	NOUN
easat-3132	109	68	horses	horse	NOUN
easat-3132	109	69	fed	feed	VERB
easat-3132	109	70	sodium	sodium	NOUN
easat-3132	109	71	zelolite	zelolite	PROPN
easat-3132	109	72	a	a	DET
easat-3132	109	73	"	"	PUNCT
easat-3132	109	74	,	,	PUNCT
easat-3132	109	75	journal	journal	NOUN
easat-3132	109	76	of	of	ADP
easat-3132	109	77	equine	equine	NOUN
easat-3132	109	78	veterinary	veterinary	ADJ
easat-3132	109	79	science	science	NOUN
easat-3132	109	80	,	,	PUNCT
easat-3132	109	81	12	12	NUM
easat-3132	109	82	,	,	PUNCT
easat-3132	109	83	292	292	NUM
easat-3132	109	84	-	-	SYM
easat-3132	109	85	296	296	NUM
easat-3132	109	86	,	,	PUNCT
easat-3132	109	87	1992	1992	NUM
easat-3132	109	88	.	.	PUNCT
easat-3132	110	1	[	[	X
easat-3132	110	2	7	7	NUM
easat-3132	110	3	]	]	X
easat-3132	110	4	geisser	geisser	NOUN
easat-3132	110	5	,	,	PUNCT
easat-3132	110	6	s.	s.	PROPN
easat-3132	110	7	"	"	PUNCT
easat-3132	110	8	bayesian	bayesian	VERB
easat-3132	110	9	analysis	analysis	NOUN
easat-3132	110	10	of	of	ADP
easat-3132	110	11	growth	growth	NOUN
easat-3132	110	12	curves	curve	NOUN
easat-3132	110	13	"	"	PUNCT
easat-3132	110	14	,	,	PUNCT
easat-3132	110	15	sankhya	sankhya	ADJ
easat-3132	110	16	series	series	NOUN
easat-3132	110	17	.	.	PUNCT
easat-3132	111	1	a.	a.	NOUN
easat-3132	111	2	32,53	32,53	PROPN
easat-3132	111	3	-	-	PUNCT
easat-3132	111	4	64	64	NUM
easat-3132	111	5	,	,	PUNCT
easat-3132	111	6	1970	1970	NUM
easat-3132	111	7	.	.	PUNCT
easat-3132	112	1	[	[	X
easat-3132	112	2	8	8	NUM
easat-3132	112	3	]	]	PUNCT
easat-3132	112	4	halperin	halperin	NOUN
easat-3132	112	5	,	,	PUNCT
easat-3132	112	6	m.	m.	NOUN
easat-3132	112	7	and	and	CCONJ
easat-3132	112	8	greenhouse	greenhouse	NOUN
easat-3132	112	9	,	,	PUNCT
easat-3132	112	10	s.	s.	PROPN
easat-3132	112	11	w.	w.	PROPN
easat-3132	112	12	note	note	PROPN
easat-3132	112	13	on	on	ADP
easat-3132	112	14	multiple	multiple	ADJ
easat-3132	112	15	comparisons	comparison	NOUN
easat-3132	112	16	for	for	ADP
easat-3132	112	17	adjusted	adjusted	ADJ
easat-3132	112	18	means	mean	NOUN
easat-3132	112	19	in	in	ADP
easat-3132	112	20	analysis	analysis	NOUN
easat-3132	112	21	of	of	ADP
easat-3132	112	22	covariance	covariance	NOUN
easat-3132	112	23	,	,	PUNCT
easat-3132	112	24	biometrika	biometrika	NOUN
easat-3132	112	25	,	,	PUNCT
easat-3132	112	26	45	45	NUM
easat-3132	112	27	,	,	PUNCT
easat-3132	112	28	256	256	NUM
easat-3132	112	29	-	-	SYM
easat-3132	112	30	259	259	NUM
easat-3132	112	31	,	,	PUNCT
easat-3132	112	32	1958	1958	NUM
easat-3132	112	33	.	.	PUNCT
easat-3132	113	1	[	[	X
easat-3132	113	2	9	9	NUM
easat-3132	113	3	]	]	X
easat-3132	113	4	kempthorne	kempthorne	ADJ
easat-3132	113	5	,	,	PUNCT
easat-3132	113	6	o.	o.	NOUN
easat-3132	114	1	"	"	PUNCT
easat-3132	114	2	the	the	DET
easat-3132	114	3	randomization	randomization	NOUN
easat-3132	114	4	theory	theory	NOUN
easat-3132	114	5	of	of	ADP
easat-3132	114	6	experimental	experimental	ADJ
easat-3132	114	7	inference	inference	NOUN
easat-3132	114	8	"	"	PUNCT
easat-3132	114	9	,	,	PUNCT
easat-3132	114	10	journal	journal	NOUN
easat-3132	114	11	of	of	ADP
easat-3132	114	12	the	the	DET
easat-3132	114	13	american	american	ADJ
easat-3132	114	14	statistical	statistical	ADJ
easat-3132	114	15	ssociation	ssociation	NOUN
easat-3132	114	16	,	,	PUNCT
easat-3132	114	17	vol.50	vol.50	NOUN
easat-3132	114	18	,	,	PUNCT
easat-3132	114	19	946	946	NUM
easat-3132	114	20	-	-	SYM
easat-3132	114	21	967	967	NUM
easat-3132	114	22	,	,	PUNCT
easat-3132	114	23	1955	1955	NUM
easat-3132	114	24	.	.	PUNCT
easat-3132	115	1	[	[	X
easat-3132	115	2	10	10	NUM
easat-3132	115	3	]	]	X
easat-3132	115	4	kshirsagar	kshirsagar	NOUN
easat-3132	115	5	,	,	PUNCT
easat-3132	115	6	a.	a.	PROPN
easat-3132	115	7	k.	k.	PROPN
easat-3132	115	8	and	and	CCONJ
easat-3132	115	9	smith	smith	PROPN
easat-3132	115	10	,	,	PUNCT
easat-3132	115	11	w.	w.	PROPN
easat-3132	115	12	b.	b.	PROPN
easat-3132	115	13	growth	growth	PROPN
easat-3132	115	14	curves	curve	NOUN
easat-3132	115	15	,	,	PUNCT
easat-3132	115	16	(	(	PUNCT
easat-3132	115	17	new	new	PROPN
easat-3132	115	18	york	york	PROPN
easat-3132	115	19	:	:	PUNCT
easat-3132	115	20	marcel	marcel	PROPN
easat-3132	115	21	dekker	dekker	PROPN
easat-3132	115	22	,	,	PUNCT
easat-3132	115	23	inc	inc	PROPN
easat-3132	115	24	,	,	PUNCT
easat-3132	115	25	1995	1995	NUM
easat-3132	115	26	)	)	PUNCT
easat-3132	115	27	.	.	PUNCT
easat-3132	116	1	[	[	X
easat-3132	116	2	11	11	NUM
easat-3132	116	3	]	]	X
easat-3132	116	4	lee	lee	PROPN
easat-3132	116	5	,	,	PUNCT
easat-3132	116	6	j.c	j.c	PROPN
easat-3132	116	7	.	.	PUNCT
easat-3132	116	8	"	"	PUNCT
easat-3132	116	9	tests	test	NOUN
easat-3132	116	10	and	and	CCONJ
easat-3132	116	11	model	model	NOUN
easat-3132	116	12	selection	selection	NOUN
easat-3132	116	13	for	for	ADP
easat-3132	116	14	the	the	DET
easat-3132	116	15	general	general	ADJ
easat-3132	116	16	growth	growth	PROPN
easat-3132	116	17	curve	curve	NOUN
easat-3132	116	18	model	model	NOUN
easat-3132	116	19	"	"	PUNCT
easat-3132	116	20	,	,	PUNCT
easat-3132	116	21	biometrics	biometric	NOUN
easat-3132	116	22	,	,	PUNCT
easat-3132	116	23	47	47	NUM
easat-3132	116	24	,	,	PUNCT
easat-3132	116	25	147	147	NUM
easat-3132	116	26	-	-	SYM
easat-3132	116	27	159	159	NUM
easat-3132	116	28	,	,	PUNCT
easat-3132	116	29	1991	1991	NUM
easat-3132	116	30	.	.	PUNCT
easat-3132	117	1	[	[	X
easat-3132	117	2	12	12	NUM
easat-3132	117	3	]	]	SYM
easat-3132	117	4	potthoff	potthoff	NOUN
easat-3132	117	5	,	,	PUNCT
easat-3132	117	6	r.	r.	PROPN
easat-3132	117	7	f.	f.	PROPN
easat-3132	117	8	and	and	CCONJ
easat-3132	117	9	roy	roy	PROPN
easat-3132	117	10	,	,	PUNCT
easat-3132	117	11	s.	s.	PROPN
easat-3132	117	12	n.	n.	PROPN
easat-3132	117	13	"	"	PUNCT
easat-3132	117	14	a	a	DET
easat-3132	117	15	generalized	generalize	VERB
easat-3132	117	16	multivariate	multivariate	NOUN
easat-3132	117	17	analysis	analysis	NOUN
easat-3132	117	18	of	of	ADP
easat-3132	117	19	variance	variance	NOUN
easat-3132	117	20	model	model	NOUN
easat-3132	117	21	useful	useful	ADJ
easat-3132	117	22	especially	especially	ADV
easat-3132	117	23	for	for	ADP
easat-3132	117	24	growth	growth	NOUN
easat-3132	117	25	curve	curve	NOUN
easat-3132	117	26	problems	problem	NOUN
easat-3132	117	27	"	"	PUNCT
easat-3132	117	28	,	,	PUNCT
easat-3132	117	29	biometrika	biometrika	NOUN
easat-3132	117	30	,	,	PUNCT
easat-3132	117	31	51	51	NUM
easat-3132	117	32	,	,	PUNCT
easat-3132	117	33	313	313	NUM
easat-3132	117	34	-	-	SYM
easat-3132	117	35	326	326	NUM
easat-3132	117	36	,	,	PUNCT
easat-3132	117	37	1964	1964	NUM
easat-3132	117	38	.	.	PUNCT
easat-3132	118	1	[	[	X
easat-3132	118	2	13	13	NUM
easat-3132	118	3	]	]	SYM
easat-3132	118	4	rao	rao	PROPN
easat-3132	118	5	,	,	PUNCT
easat-3132	118	6	c.r	c.r	PROPN
easat-3132	118	7	.	.	PUNCT
easat-3132	119	1	"	"	PUNCT
easat-3132	119	2	the	the	DET
easat-3132	119	3	theory	theory	NOUN
easat-3132	119	4	of	of	ADP
easat-3132	119	5	least	least	ADJ
easat-3132	119	6	squares	square	NOUN
easat-3132	119	7	when	when	SCONJ
easat-3132	119	8	the	the	DET
easat-3132	119	9	parameters	parameter	NOUN
easat-3132	119	10	are	be	AUX
easat-3132	119	11	stochastic	stochastic	ADJ
easat-3132	119	12	and	and	CCONJ
easat-3132	119	13	its	its	PRON
easat-3132	119	14	application	application	NOUN
easat-3132	119	15	to	to	ADP
easat-3132	119	16	the	the	DET
easat-3132	119	17	analysis	analysis	NOUN
easat-3132	119	18	of	of	ADP
easat-3132	119	19	growth	growth	NOUN
easat-3132	119	20	curve	curve	NOUN
easat-3132	119	21	"	"	PUNCT
easat-3132	119	22	,	,	PUNCT
easat-3132	119	23	biometrika	biometrika	NOUN
easat-3132	119	24	,	,	PUNCT
easat-3132	119	25	52	52	NUM
easat-3132	119	26	,	,	PUNCT
easat-3132	119	27	447	447	NUM
easat-3132	119	28	-	-	SYM
easat-3132	119	29	458	458	NUM
easat-3132	119	30	,	,	PUNCT
easat-3132	119	31	1965	1965	NUM
easat-3132	119	32	.	.	PUNCT
easat-3132	120	1	[	[	X
easat-3132	120	2	14	14	NUM
easat-3132	120	3	]	]	X
easat-3132	120	4	scheffé	scheffé	ADV
easat-3132	120	5	,	,	PUNCT
easat-3132	120	6	h.	h.	PROPN
easat-3132	120	7	the	the	DET
easat-3132	120	8	analysis	analysis	NOUN
easat-3132	120	9	of	of	ADP
easat-3132	120	10	variance	variance	NOUN
easat-3132	120	11	,	,	PUNCT
easat-3132	120	12	(	(	PUNCT
easat-3132	120	13	new	new	PROPN
easat-3132	120	14	york	york	PROPN
easat-3132	120	15	:	:	PUNCT
easat-3132	120	16	wiley	wiley	PROPN
easat-3132	120	17	,	,	PUNCT
easat-3132	120	18	1959	1959	NUM
easat-3132	120	19	)	)	PUNCT
easat-3132	120	20	.	.	PUNCT
easat-3132	121	1	[	[	X
easat-3132	121	2	15	15	NUM
easat-3132	121	3	]	]	X
easat-3132	121	4	stanek	stanek	PROPN
easat-3132	121	5	iii	iii	PROPN
easat-3132	121	6	,	,	PUNCT
easat-3132	121	7	e.j	e.j	PROPN
easat-3132	121	8	.	.	PUNCT
easat-3132	121	9	"	"	PUNCT
easat-3132	121	10	a	a	DET
easat-3132	121	11	two	two	NUM
easat-3132	121	12	-	-	PUNCT
easat-3132	121	13	step	step	NOUN
easat-3132	121	14	method	method	NOUN
easat-3132	121	15	for	for	ADP
easat-3132	121	16	understanding	understanding	NOUN
easat-3132	121	17	and	and	CCONJ
easat-3132	121	18	fitting	fitting	ADJ
easat-3132	121	19	growth	growth	NOUN
easat-3132	121	20	curves	curve	NOUN
easat-3132	121	21	models	model	NOUN
easat-3132	121	22	"	"	PUNCT
easat-3132	121	23	,	,	PUNCT
easat-3132	121	24	statistics	statistic	NOUN
easat-3132	121	25	in	in	ADP
easat-3132	121	26	medicine	medicine	NOUN
easat-3132	121	27	,	,	PUNCT
easat-3132	121	28	9	9	NUM
easat-3132	121	29	,	,	PUNCT
easat-3132	121	30	841	841	NUM
easat-3132	121	31	-	-	SYM
easat-3132	121	32	851	851	NUM
easat-3132	121	33	,	,	PUNCT
easat-3132	121	34	1990	1990	NUM
easat-3132	121	35	.	.	PUNCT
easat-3132	122	1	[	[	X
easat-3132	122	2	16	16	NUM
easat-3132	122	3	]	]	X
easat-3132	122	4	von	von	PROPN
easat-3132	122	5	rosen	rosen	PROPN
easat-3132	122	6	,	,	PUNCT
easat-3132	122	7	d.	d.	PROPN
easat-3132	122	8	"	"	PUNCT
easat-3132	122	9	moments	moment	NOUN
easat-3132	122	10	for	for	ADP
easat-3132	122	11	a	a	DET
easat-3132	122	12	multivariate	multivariate	NOUN
easat-3132	122	13	linear	linear	PROPN
easat-3132	122	14	normal	normal	ADJ
easat-3132	122	15	model	model	NOUN
easat-3132	122	16	with	with	ADP
easat-3132	122	17	application	application	NOUN
easat-3132	122	18	to	to	ADP
easat-3132	122	19	growth	growth	NOUN
easat-3132	122	20	curve	curve	NOUN
easat-3132	122	21	model	model	NOUN
easat-3132	122	22	"	"	PUNCT
easat-3132	122	23	,	,	PUNCT
easat-3132	122	24	journal	journal	NOUN
easat-3132	122	25	of	of	ADP
easat-3132	122	26	multivariate	multivariate	NOUN
easat-3132	122	27	analysis	analysis	NOUN
easat-3132	122	28	,	,	PUNCT
easat-3132	122	29	35	35	NUM
easat-3132	122	30	,	,	PUNCT
easat-3132	122	31	243	243	NUM
easat-3132	122	32	-	-	SYM
easat-3132	122	33	259	259	NUM
easat-3132	122	34	,	,	PUNCT
easat-3132	122	35	1990	1990	NUM
easat-3132	122	36	.	.	PUNCT
easat-3132	123	1	[	[	X
easat-3132	123	2	17	17	NUM
easat-3132	123	3	]	]	X
easat-3132	123	4	zerbe	zerbe	NOUN
easat-3132	123	5	,	,	PUNCT
easat-3132	123	6	g.	g.	PROPN
easat-3132	123	7	and	and	CCONJ
easat-3132	123	8	murphy	murphy	PROPN
easat-3132	123	9	,	,	PUNCT
easat-3132	123	10	j.	j.	PROPN
easat-3132	123	11	"	"	PUNCT
easat-3132	123	12	on	on	ADP
easat-3132	123	13	multiple	multiple	ADJ
easat-3132	123	14	comparisons	comparison	NOUN
easat-3132	123	15	in	in	ADP
easat-3132	123	16	the	the	DET
easat-3132	123	17	randomization	randomization	NOUN
easat-3132	123	18	analysis	analysis	NOUN
easat-3132	123	19	of	of	ADP
easat-3132	123	20	growth	growth	NOUN
easat-3132	123	21	and	and	CCONJ
easat-3132	123	22	response	response	NOUN
easat-3132	123	23	curves	curve	NOUN
easat-3132	123	24	"	"	PUNCT
easat-3132	123	25	,	,	PUNCT
easat-3132	123	26	biometrics	biometric	NOUN
easat-3132	123	27	,	,	PUNCT
easat-3132	123	28	42	42	NUM
easat-3132	123	29	,	,	PUNCT
easat-3132	123	30	pp.795	pp.795	NOUN
easat-3132	123	31	-	-	ADJ
easat-3132	123	32	804	804	NUM
easat-3132	123	33	,	,	PUNCT
easat-3132	123	34	1986	1986	NUM
easat-3132	123	35	.	.	PUNCT
easat-3132	124	1	[	[	X
easat-3132	124	2	18	18	NUM
easat-3132	124	3	]	]	PUNCT
easat-3132	124	4	zerbe	zerbe	NOUN
easat-3132	124	5	,	,	PUNCT
easat-3132	124	6	g.	g.	NOUN
easat-3132	124	7	"	"	PUNCT
easat-3132	124	8	randomization	randomization	NOUN
easat-3132	124	9	analysis	analysis	NOUN
easat-3132	124	10	of	of	ADP
easat-3132	124	11	the	the	DET
easat-3132	124	12	completely	completely	ADV
easat-3132	124	13	randomized	randomized	ADJ
easat-3132	124	14	design	design	NOUN
easat-3132	124	15	extended	extend	VERB
easat-3132	124	16	to	to	ADP
easat-3132	124	17	growth	growth	NOUN
easat-3132	124	18	and	and	CCONJ
easat-3132	124	19	response	response	NOUN
easat-3132	124	20	curve	curve	NOUN
easat-3132	124	21	"	"	PUNCT
easat-3132	124	22	,	,	PUNCT
easat-3132	124	23	journal	journal	NOUN
easat-3132	124	24	of	of	ADP
easat-3132	124	25	the	the	DET
easat-3132	124	26	american	american	PROPN
easat-3132	124	27	statistical	statistical	PROPN
easat-3132	124	28	association	association	NOUN
easat-3132	124	29	,	,	PUNCT
easat-3132	124	30	vol.74	vol.74	NOUN
easat-3132	124	31	,	,	PUNCT
easat-3132	124	32	no.365	no.365	NOUN
easat-3132	124	33	,	,	PUNCT
easat-3132	124	34	pp.215	pp.215	PROPN
easat-3132	124	35	-	-	PUNCT
easat-3132	124	36	221	221	NUM
easat-3132	124	37	,	,	PUNCT
easat-3132	124	38	1979	1979	NUM
easat-3132	124	39	.	.	PUNCT
easat-3132	125	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN