id	sid	tid	token	lemma	pos
iajs-1841	1	1	microsoft	microsoft	PROPN
iajs-1841	1	2	word	word	NOUN
iajs-1841	1	3	212	212	NUM
iajs-1841	1	4	-	-	SYM
iajs-1841	1	5	221	221	NUM
iajs-1841	1	6	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	NOUN
iajs-1841	1	7	mathematics	mathematic	NOUN
iajs-1841	1	8	|	|	ADV
iajs-1841	1	9	212	212	NUM
iajs-1841	1	10	2018	2018	NUM
iajs-1841	1	11	)	)	PUNCT
iajs-1841	1	12	عام	عام	ADP
iajs-1841	1	13	1(العدد	1(العدد	NUM
iajs-1841	1	14	)	)	PUNCT
iajs-1841	1	15	31(المجلد	31(المجلد	NUM
iajs-1841	1	16	مجلة	مجلة	NOUN
iajs-1841	1	17	إبن	إبن	VERB
iajs-1841	1	18	الهيثم	الهيثم	ADJ
iajs-1841	1	19	للعلوم	للعلوم	NOUN
iajs-1841	1	20	الصرفة	الصرفة	NOUN
iajs-1841	2	1	و	و	PRON
iajs-1841	2	2	التطبيقية	التطبيقية	ADJ
iajs-1841	2	3	ibn	ibn	PROPN
iajs-1841	2	4	al	al	PROPN
iajs-1841	2	5	-	-	PUNCT
iajs-1841	2	6	haitham	haitham	PROPN
iajs-1841	2	7	j.	j.	PROPN
iajs-1841	2	8	for	for	ADP
iajs-1841	2	9	pure	pure	PROPN
iajs-1841	2	10	&	&	CCONJ
iajs-1841	2	11	appl	appl	PROPN
iajs-1841	2	12	.	.	PUNCT
iajs-1841	3	1	sci	sci	PROPN
iajs-1841	3	2	.	.	PUNCT
iajs-1841	4	1	vol.31	vol.31	PROPN
iajs-1841	4	2	(	(	PUNCT
iajs-1841	4	3	1	1	NUM
iajs-1841	4	4	)	)	PUNCT
iajs-1841	4	5	2018	2018	NUM
iajs-1841	4	6	the	the	DET
iajs-1841	4	7	comparison	comparison	NOUN
iajs-1841	4	8	between	between	ADP
iajs-1841	4	9	different	different	ADJ
iajs-1841	4	10	approaches	approach	NOUN
iajs-1841	4	11	to	to	PART
iajs-1841	4	12	overcome	overcome	VERB
iajs-1841	4	13	the	the	DET
iajs-1841	4	14	multicollinearity	multicollinearity	NOUN
iajs-1841	4	15	problem	problem	NOUN
iajs-1841	4	16	in	in	ADP
iajs-1841	4	17	linear	linear	PROPN
iajs-1841	4	18	regression	regression	NOUN
iajs-1841	4	19	models	model	NOUN
iajs-1841	4	20	hazim	hazim	PROPN
iajs-1841	4	21	mansoor	mansoor	PROPN
iajs-1841	4	22	gorgees	gorgees	PROPN
iajs-1841	4	23	fatimah	fatimah	PROPN
iajs-1841	4	24	assim	assim	PROPN
iajs-1841	4	25	mahdi	mahdi	PROPN
iajs-1841	4	26	dept	dept	PROPN
iajs-1841	4	27	.	.	PROPN
iajs-1841	5	1	of	of	ADP
iajs-1841	5	2	mathematics/	mathematics/	NUM
iajs-1841	5	3	college	college	NOUN
iajs-1841	5	4	of	of	ADP
iajs-1841	5	5	pure	pure	ADJ
iajs-1841	5	6	science	science	PROPN
iajs-1841	5	7	ibn	ibn	PROPN
iajs-1841	5	8	al	al	PROPN
iajs-1841	5	9	-	-	PUNCT
iajs-1841	5	10	haithem/	haithem/	NUM
iajs-1841	5	11	baghdad	baghdad	PROPN
iajs-1841	5	12	university	university	NOUN
iajs-1841	5	13	hazim5656@yahoo.com	hazim5656@yahoo.com	NOUN
iajs-1841	6	1	fatima_assim92@yahoo.com	fatima_assim92@yahoo.com	PROPN
iajs-1841	6	2	received	receive	VERB
iajs-1841	6	3	in:10	in:10	PROPN
iajs-1841	6	4	/september/2017	/september/2017	PUNCT
iajs-1841	6	5	,	,	PUNCT
iajs-1841	6	6	accepted	accept	VERB
iajs-1841	6	7	in:22/	in:22/	VERB
iajs-1841	6	8	october	october	PROPN
iajs-1841	6	9	/2017	/2017	PUNCT
iajs-1841	7	1	abstract	abstract	ADJ
iajs-1841	7	2	:	:	PUNCT
iajs-1841	7	3	in	in	ADP
iajs-1841	7	4	the	the	DET
iajs-1841	7	5	presence	presence	NOUN
iajs-1841	7	6	of	of	ADP
iajs-1841	7	7	multi	multi	ADJ
iajs-1841	7	8	-	-	ADJ
iajs-1841	7	9	collinearity	collinearity	ADJ
iajs-1841	7	10	problem	problem	NOUN
iajs-1841	7	11	,	,	PUNCT
iajs-1841	7	12	the	the	DET
iajs-1841	7	13	parameter	parameter	NOUN
iajs-1841	7	14	estimation	estimation	NOUN
iajs-1841	7	15	method	method	NOUN
iajs-1841	7	16	based	base	VERB
iajs-1841	7	17	on	on	ADP
iajs-1841	7	18	the	the	DET
iajs-1841	7	19	ordinary	ordinary	ADJ
iajs-1841	7	20	least	least	ADJ
iajs-1841	7	21	squares	square	NOUN
iajs-1841	7	22	procedure	procedure	NOUN
iajs-1841	7	23	is	be	AUX
iajs-1841	7	24	unsatisfactory	unsatisfactory	ADJ
iajs-1841	7	25	.	.	PUNCT
iajs-1841	8	1	in	in	ADP
iajs-1841	8	2	1970	1970	NUM
iajs-1841	8	3	,	,	PUNCT
iajs-1841	8	4	hoerl	hoerl	NOUN
iajs-1841	8	5	and	and	CCONJ
iajs-1841	8	6	kennard	kennard	NOUN
iajs-1841	8	7	insert	insert	VERB
iajs-1841	8	8	an	an	DET
iajs-1841	8	9	alternative	alternative	ADJ
iajs-1841	8	10	method	method	NOUN
iajs-1841	8	11	labeled	label	VERB
iajs-1841	8	12	as	as	ADP
iajs-1841	8	13	estimator	estimator	NOUN
iajs-1841	8	14	of	of	ADP
iajs-1841	8	15	ridge	ridge	PROPN
iajs-1841	8	16	regression	regression	NOUN
iajs-1841	8	17	.	.	PUNCT
iajs-1841	9	1	in	in	ADP
iajs-1841	9	2	such	such	ADJ
iajs-1841	9	3	estimator	estimator	NOUN
iajs-1841	9	4	,	,	PUNCT
iajs-1841	9	5	ridge	ridge	NOUN
iajs-1841	9	6	parameter	parameter	NOUN
iajs-1841	9	7	plays	play	VERB
iajs-1841	9	8	an	an	DET
iajs-1841	9	9	important	important	ADJ
iajs-1841	9	10	role	role	NOUN
iajs-1841	9	11	in	in	ADP
iajs-1841	9	12	estimation	estimation	NOUN
iajs-1841	9	13	.	.	PUNCT
iajs-1841	10	1	various	various	ADJ
iajs-1841	10	2	methods	method	NOUN
iajs-1841	10	3	were	be	AUX
iajs-1841	10	4	proposed	propose	VERB
iajs-1841	10	5	by	by	ADP
iajs-1841	10	6	many	many	ADJ
iajs-1841	10	7	statisticians	statistician	NOUN
iajs-1841	10	8	to	to	PART
iajs-1841	10	9	select	select	VERB
iajs-1841	10	10	the	the	DET
iajs-1841	10	11	biasing	bias	VERB
iajs-1841	10	12	constant	constant	ADJ
iajs-1841	10	13	(	(	PUNCT
iajs-1841	10	14	ridge	ridge	NOUN
iajs-1841	10	15	parameter	parameter	NOUN
iajs-1841	10	16	)	)	PUNCT
iajs-1841	10	17	.	.	PUNCT
iajs-1841	11	1	another	another	DET
iajs-1841	11	2	popular	popular	ADJ
iajs-1841	11	3	method	method	NOUN
iajs-1841	11	4	that	that	PRON
iajs-1841	11	5	is	be	AUX
iajs-1841	11	6	used	use	VERB
iajs-1841	11	7	to	to	PART
iajs-1841	11	8	deal	deal	VERB
iajs-1841	11	9	with	with	ADP
iajs-1841	11	10	the	the	DET
iajs-1841	11	11	multi	multi	ADJ
iajs-1841	11	12	-	-	ADJ
iajs-1841	11	13	collinearity	collinearity	ADJ
iajs-1841	11	14	problem	problem	NOUN
iajs-1841	11	15	is	be	AUX
iajs-1841	11	16	the	the	DET
iajs-1841	11	17	principal	principal	ADJ
iajs-1841	11	18	component	component	NOUN
iajs-1841	11	19	method	method	NOUN
iajs-1841	11	20	.	.	PUNCT
iajs-1841	12	1	in	in	ADP
iajs-1841	12	2	this	this	DET
iajs-1841	12	3	paper	paper	NOUN
iajs-1841	12	4	,	,	PUNCT
iajs-1841	12	5	we	we	PRON
iajs-1841	12	6	employ	employ	VERB
iajs-1841	12	7	the	the	DET
iajs-1841	12	8	simulation	simulation	NOUN
iajs-1841	12	9	technique	technique	NOUN
iajs-1841	12	10	to	to	PART
iajs-1841	12	11	compare	compare	VERB
iajs-1841	12	12	the	the	DET
iajs-1841	12	13	performance	performance	NOUN
iajs-1841	12	14	of	of	ADP
iajs-1841	12	15	principal	principal	ADJ
iajs-1841	12	16	component	component	NOUN
iajs-1841	12	17	estimator	estimator	NOUN
iajs-1841	12	18	with	with	ADP
iajs-1841	12	19	some	some	DET
iajs-1841	12	20	types	type	NOUN
iajs-1841	12	21	of	of	ADP
iajs-1841	12	22	ordinary	ordinary	ADJ
iajs-1841	12	23	ridge	ridge	NOUN
iajs-1841	12	24	regression	regression	NOUN
iajs-1841	12	25	estimators	estimator	NOUN
iajs-1841	12	26	based	base	VERB
iajs-1841	12	27	on	on	ADP
iajs-1841	12	28	the	the	DET
iajs-1841	12	29	value	value	NOUN
iajs-1841	12	30	of	of	ADP
iajs-1841	12	31	the	the	DET
iajs-1841	12	32	biasing	bias	VERB
iajs-1841	12	33	constant	constant	ADJ
iajs-1841	12	34	(	(	PUNCT
iajs-1841	12	35	ridge	ridge	NOUN
iajs-1841	12	36	parameter	parameter	NOUN
iajs-1841	12	37	)	)	PUNCT
iajs-1841	12	38	.	.	PUNCT
iajs-1841	13	1	the	the	DET
iajs-1841	13	2	mean	mean	ADJ
iajs-1841	13	3	square	square	ADJ
iajs-1841	13	4	error	error	NOUN
iajs-1841	13	5	(	(	PUNCT
iajs-1841	13	6	mse	mse	NOUN
iajs-1841	13	7	)	)	PUNCT
iajs-1841	13	8	is	be	AUX
iajs-1841	13	9	used	use	VERB
iajs-1841	13	10	as	as	ADP
iajs-1841	13	11	a	a	DET
iajs-1841	13	12	criterion	criterion	NOUN
iajs-1841	13	13	to	to	PART
iajs-1841	13	14	assess	assess	VERB
iajs-1841	13	15	the	the	DET
iajs-1841	13	16	performance	performance	NOUN
iajs-1841	13	17	of	of	ADP
iajs-1841	13	18	such	such	ADJ
iajs-1841	13	19	estimators	estimator	NOUN
iajs-1841	13	20	.	.	PUNCT
iajs-1841	14	1	keywords	keyword	NOUN
iajs-1841	14	2	:	:	PUNCT
iajs-1841	14	3	multi	multi	ADJ
iajs-1841	14	4	-	-	ADJ
iajs-1841	14	5	collinearty	collinearty	ADJ
iajs-1841	14	6	,	,	PUNCT
iajs-1841	14	7	ridge	ridge	NOUN
iajs-1841	14	8	regression	regression	NOUN
iajs-1841	14	9	,	,	PUNCT
iajs-1841	14	10	ridge	ridge	NOUN
iajs-1841	14	11	parameter	parameter	NOUN
iajs-1841	14	12	,	,	PUNCT
iajs-1841	14	13	condition	condition	NOUN
iajs-1841	14	14	number	number	NOUN
iajs-1841	14	15	,	,	PUNCT
iajs-1841	14	16	principal	principal	ADJ
iajs-1841	14	17	components	component	NOUN
iajs-1841	14	18	.	.	PUNCT
iajs-1841	14	19	                    	                    	SPACE
iajs-1841	15	1	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	ADV
iajs-1841	15	2	mathematics	mathematic	NOUN
iajs-1841	15	3	|	|	ADV
iajs-1841	15	4	213	213	NUM
iajs-1841	15	5	2018	2018	NUM
iajs-1841	15	6	)	)	PUNCT
iajs-1841	15	7	عام	عام	ADP
iajs-1841	15	8	1(العدد	1(العدد	NUM
iajs-1841	15	9	)	)	PUNCT
iajs-1841	15	10	31(لمجلد	31(لمجلد	NUM
iajs-1841	15	11	ا	ا	X
iajs-1841	15	12	مجلة	مجلة	PROPN
iajs-1841	15	13	إبن	إبن	VERB
iajs-1841	15	14	الهيثم	الهيثم	ADJ
iajs-1841	15	15	للعلوم	للعلوم	NOUN
iajs-1841	15	16	الصرفة	الصرفة	NOUN
iajs-1841	16	1	و	و	PRON
iajs-1841	16	2	التطبيقية	التطبيقية	ADJ
iajs-1841	16	3	ibn	ibn	PROPN
iajs-1841	16	4	al	al	PROPN
iajs-1841	16	5	-	-	PUNCT
iajs-1841	16	6	haitham	haitham	PROPN
iajs-1841	16	7	j.	j.	PROPN
iajs-1841	16	8	for	for	ADP
iajs-1841	16	9	pure	pure	PROPN
iajs-1841	16	10	&	&	CCONJ
iajs-1841	16	11	appl	appl	PROPN
iajs-1841	16	12	.	.	PUNCT
iajs-1841	17	1	sci	sci	PROPN
iajs-1841	17	2	.	.	PUNCT
iajs-1841	18	1	vol.31	vol.31	PROPN
iajs-1841	18	2	(	(	PUNCT
iajs-1841	18	3	1	1	NUM
iajs-1841	18	4	)	)	SYM
iajs-1841	18	5	2018	2018	NUM
iajs-1841	18	6	introduction	introduction	NOUN
iajs-1841	18	7	consider	consider	VERB
iajs-1841	18	8	the	the	DET
iajs-1841	18	9	linear	linear	ADJ
iajs-1841	18	10	regression	regression	NOUN
iajs-1841	18	11	model	model	NOUN
iajs-1841	18	12	(	(	PUNCT
iajs-1841	18	13	1	1	NUM
iajs-1841	18	14	)	)	PUNCT
iajs-1841	18	15	where	where	SCONJ
iajs-1841	18	16	is	be	AUX
iajs-1841	18	17	1	1	NUM
iajs-1841	18	18	vector	vector	NOUN
iajs-1841	18	19	of	of	ADP
iajs-1841	18	20	response	response	NOUN
iajs-1841	18	21	variable	variable	NOUN
iajs-1841	18	22	,	,	PUNCT
iajs-1841	18	23	is	be	AUX
iajs-1841	18	24	matrix	matrix	NOUN
iajs-1841	18	25	of	of	ADP
iajs-1841	18	26	explanatory	explanatory	ADJ
iajs-1841	18	27	variablesand	variablesand	NOUN
iajs-1841	19	1	n	n	CCONJ
iajs-1841	19	2	>	>	X
iajs-1841	19	3	p	p	X
iajs-1841	19	4	,	,	PUNCT
iajs-1841	19	5	is	be	AUX
iajs-1841	19	6	1	1	NUM
iajs-1841	19	7	vector	vector	NOUN
iajs-1841	19	8	of	of	ADP
iajs-1841	19	9	unknown	unknown	ADJ
iajs-1841	19	10	parameters	parameter	NOUN
iajs-1841	19	11	,	,	PUNCT
iajs-1841	19	12	is	be	AUX
iajs-1841	19	13	1	1	NUM
iajs-1841	19	14	vector	vector	NOUN
iajs-1841	19	15	of	of	ADP
iajs-1841	19	16	unobservable	unobservable	ADJ
iajs-1841	19	17	random	random	ADJ
iajs-1841	19	18	errors	error	NOUN
iajs-1841	19	19	and	and	CCONJ
iajs-1841	19	20	0	0	NUM
iajs-1841	19	21	,	,	PUNCT
iajs-1841	19	22	the	the	DET
iajs-1841	19	23	aim	aim	NOUN
iajs-1841	19	24	of	of	ADP
iajs-1841	19	25	regression	regression	NOUN
iajs-1841	19	26	analysis	analysis	NOUN
iajs-1841	19	27	is	be	AUX
iajs-1841	19	28	to	to	PART
iajs-1841	19	29	estimate	estimate	VERB
iajs-1841	19	30	the	the	DET
iajs-1841	19	31	numerical	numerical	ADJ
iajs-1841	19	32	values	value	NOUN
iajs-1841	19	33	of	of	ADP
iajs-1841	19	34	linear	linear	ADJ
iajs-1841	19	35	model	model	NOUN
iajs-1841	19	36	parameters	parameter	NOUN
iajs-1841	19	37	.	.	PUNCT
iajs-1841	20	1	recently	recently	ADV
iajs-1841	20	2	,	,	PUNCT
iajs-1841	20	3	biased	biased	ADJ
iajs-1841	20	4	estimators	estimator	NOUN
iajs-1841	20	5	of	of	ADP
iajs-1841	20	6	regression	regression	NOUN
iajs-1841	20	7	parameters	parameter	NOUN
iajs-1841	20	8	get	get	VERB
iajs-1841	20	9	attention	attention	NOUN
iajs-1841	20	10	of	of	ADP
iajs-1841	20	11	many	many	ADJ
iajs-1841	20	12	researchers	researcher	NOUN
iajs-1841	20	13	,	,	PUNCT
iajs-1841	20	14	because	because	SCONJ
iajs-1841	20	15	the	the	DET
iajs-1841	20	16	ordinary	ordinary	ADJ
iajs-1841	20	17	least	least	ADJ
iajs-1841	20	18	squares	square	NOUN
iajs-1841	20	19	procedure	procedure	NOUN
iajs-1841	20	20	is	be	AUX
iajs-1841	20	21	unable	unable	ADJ
iajs-1841	20	22	to	to	PART
iajs-1841	20	23	provide	provide	VERB
iajs-1841	20	24	reasonable	reasonable	ADJ
iajs-1841	20	25	point	point	NOUN
iajs-1841	20	26	estimates	estimate	NOUN
iajs-1841	20	27	when	when	SCONJ
iajs-1841	20	28	the	the	DET
iajs-1841	20	29	matrix	matrix	NOUN
iajs-1841	20	30	of	of	ADP
iajs-1841	20	31	explanatory	explanatory	ADJ
iajs-1841	20	32	variables	variable	NOUN
iajs-1841	20	33	if	if	SCONJ
iajs-1841	20	34	there	there	PRON
iajs-1841	20	35	exists	exist	VERB
iajs-1841	20	36	the	the	DET
iajs-1841	20	37	problem	problem	NOUN
iajs-1841	20	38	of	of	ADP
iajs-1841	20	39	multi	multi	NOUN
iajs-1841	20	40	-	-	NOUN
iajs-1841	20	41	collineardata	collineardata	ADJ
iajs-1841	20	42	.	.	PUNCT
iajs-1841	21	1	where	where	SCONJ
iajs-1841	21	2	we	we	PRON
iajs-1841	21	3	refer	refer	VERB
iajs-1841	21	4	through	through	ADP
iajs-1841	21	5	the	the	DET
iajs-1841	21	6	paper	paper	NOUN
iajs-1841	21	7	to	to	ADP
iajs-1841	21	8	the	the	DET
iajs-1841	21	9	ridge	ridge	NOUN
iajs-1841	21	10	regression	regression	NOUN
iajs-1841	21	11	estimators	estimator	NOUN
iajs-1841	21	12	and	and	CCONJ
iajs-1841	21	13	principal	principal	ADJ
iajs-1841	21	14	component	component	NOUN
iajs-1841	21	15	estimators	estimator	NOUN
iajs-1841	21	16	as	as	ADP
iajs-1841	21	17	alternatives	alternative	NOUN
iajs-1841	21	18	to	to	ADP
iajs-1841	21	19	the	the	DET
iajs-1841	21	20	ordinary	ordinary	ADJ
iajs-1841	21	21	least	least	ADJ
iajs-1841	21	22	square	square	ADJ
iajs-1841	21	23	estimators	estimator	NOUN
iajs-1841	21	24	with	with	ADP
iajs-1841	21	25	multi	multi	NOUN
iajs-1841	21	26	-	-	NOUN
iajs-1841	21	27	collineardata	collineardata	ADJ
iajs-1841	21	28	.	.	PUNCT
iajs-1841	22	1	the	the	DET
iajs-1841	22	2	estimators	estimator	NOUN
iajs-1841	22	3	of	of	ADP
iajs-1841	22	4	each	each	DET
iajs-1841	22	5	ridge	ridge	NOUN
iajs-1841	22	6	regression	regression	NOUN
iajs-1841	22	7	and	and	CCONJ
iajs-1841	22	8	principal	principal	ADJ
iajs-1841	22	9	component	component	NOUN
iajs-1841	22	10	allow	allow	VERB
iajs-1841	22	11	a	a	DET
iajs-1841	22	12	small	small	ADJ
iajs-1841	22	13	amount	amount	NOUN
iajs-1841	22	14	of	of	ADP
iajs-1841	22	15	bias	bias	NOUN
iajs-1841	22	16	in	in	ADP
iajs-1841	22	17	order	order	NOUN
iajs-1841	22	18	to	to	PART
iajs-1841	22	19	achieve	achieve	VERB
iajs-1841	22	20	a	a	DET
iajs-1841	22	21	major	major	ADJ
iajs-1841	22	22	reduction	reduction	NOUN
iajs-1841	22	23	in	in	ADP
iajs-1841	22	24	the	the	DET
iajs-1841	22	25	variance	variance	NOUN
iajs-1841	22	26	in	in	ADP
iajs-1841	22	27	contrast	contrast	NOUN
iajs-1841	22	28	to	to	ADP
iajs-1841	22	29	ordinary	ordinary	ADJ
iajs-1841	22	30	least	least	ADJ
iajs-1841	22	31	squares	square	NOUN
iajs-1841	22	32	.	.	PUNCT
iajs-1841	23	1	the	the	DET
iajs-1841	23	2	case	case	NOUN
iajs-1841	23	3	of	of	ADP
iajs-1841	23	4	multi	multi	NOUN
iajs-1841	23	5	-	-	NOUN
iajs-1841	23	6	collinearity	collinearity	NOUN
iajs-1841	23	7	the	the	DET
iajs-1841	23	8	problem	problem	NOUN
iajs-1841	23	9	of	of	ADP
iajs-1841	23	10	multi	multi	ADJ
iajs-1841	23	11	-	-	ADJ
iajs-1841	23	12	collinearity	collinearity	NOUN
iajs-1841	23	13	occurs	occur	VERB
iajs-1841	23	14	when	when	SCONJ
iajs-1841	23	15	there	there	PRON
iajs-1841	23	16	exists	exist	VERB
iajs-1841	23	17	an	an	DET
iajs-1841	23	18	exact	exact	ADJ
iajs-1841	23	19	linear	linear	ADJ
iajs-1841	23	20	relationship	relationship	NOUN
iajs-1841	23	21	or	or	CCONJ
iajs-1841	23	22	an	an	DET
iajs-1841	23	23	approximate	approximate	ADJ
iajs-1841	23	24	linear	linear	PROPN
iajs-1841	23	25	relationship	relationship	NOUN
iajs-1841	23	26	among	among	ADP
iajs-1841	23	27	two	two	NUM
iajs-1841	23	28	or	or	CCONJ
iajs-1841	23	29	more	more	ADJ
iajs-1841	23	30	explanatory	explanatory	ADJ
iajs-1841	23	31	variables	variable	NOUN
iajs-1841	23	32	,	,	PUNCT
iajs-1841	23	33	two	two	NUM
iajs-1841	23	34	types	type	NOUN
iajs-1841	23	35	of	of	ADP
iajs-1841	23	36	multicollinearity	multicollinearity	NOUN
iajs-1841	23	37	may	may	AUX
iajs-1841	23	38	be	be	AUX
iajs-1841	23	39	faced	face	VERB
iajs-1841	23	40	in	in	ADP
iajs-1841	23	41	regression	regression	NOUN
iajs-1841	23	42	analysis	analysis	NOUN
iajs-1841	23	43	,	,	PUNCT
iajs-1841	23	44	exact	exact	ADJ
iajs-1841	23	45	and	and	CCONJ
iajs-1841	23	46	near	near	ADP
iajs-1841	23	47	multi	multi	NOUN
iajs-1841	23	48	-	-	NOUN
iajs-1841	23	49	collnearity	collnearity	NOUN
iajs-1841	23	50	.	.	PUNCT
iajs-1841	24	1	during	during	ADP
iajs-1841	24	2	regression	regression	NOUN
iajs-1841	24	3	calculations	calculation	NOUN
iajs-1841	24	4	,	,	PUNCT
iajs-1841	24	5	the	the	DET
iajs-1841	24	6	exact	exact	ADJ
iajs-1841	24	7	linear	linear	PROPN
iajs-1841	24	8	relationship	relationship	NOUN
iajs-1841	24	9	causes	cause	VERB
iajs-1841	24	10	a	a	DET
iajs-1841	24	11	division	division	NOUN
iajs-1841	24	12	by	by	ADP
iajs-1841	24	13	zero	zero	NUM
iajs-1841	24	14	which	which	PRON
iajs-1841	24	15	in	in	ADP
iajs-1841	24	16	turn	turn	NOUN
iajs-1841	24	17	leads	lead	VERB
iajs-1841	24	18	to	to	ADP
iajs-1841	24	19	the	the	DET
iajs-1841	24	20	abortion	abortion	NOUN
iajs-1841	24	21	of	of	ADP
iajs-1841	24	22	the	the	DET
iajs-1841	24	23	calculations	calculation	NOUN
iajs-1841	24	24	.	.	PUNCT
iajs-1841	25	1	in	in	ADP
iajs-1841	25	2	case	case	NOUN
iajs-1841	25	3	of	of	ADP
iajs-1841	25	4	not	not	PART
iajs-1841	25	5	exact	exact	ADJ
iajs-1841	25	6	relationship	relationship	NOUN
iajs-1841	25	7	,	,	PUNCT
iajs-1841	25	8	the	the	DET
iajs-1841	25	9	calculations	calculation	NOUN
iajs-1841	25	10	will	will	AUX
iajs-1841	25	11	not	not	PART
iajs-1841	25	12	be	be	AUX
iajs-1841	25	13	aborted	abort	VERB
iajs-1841	25	14	and	and	CCONJ
iajs-1841	25	15	the	the	DET
iajs-1841	25	16	division	division	NOUN
iajs-1841	25	17	by	by	ADP
iajs-1841	25	18	zero	zero	NUM
iajs-1841	25	19	does	do	AUX
iajs-1841	25	20	not	not	PART
iajs-1841	25	21	occur	occur	VERB
iajs-1841	25	22	.	.	PUNCT
iajs-1841	26	1	nevertheless	nevertheless	ADV
iajs-1841	26	2	,	,	PUNCT
iajs-1841	26	3	the	the	DET
iajs-1841	26	4	results	result	NOUN
iajs-1841	26	5	will	will	AUX
iajs-1841	26	6	be	be	AUX
iajs-1841	26	7	distorted	distort	VERB
iajs-1841	26	8	when	when	SCONJ
iajs-1841	26	9	the	the	DET
iajs-1841	26	10	division	division	NOUN
iajs-1841	26	11	is	be	AUX
iajs-1841	26	12	done	do	VERB
iajs-1841	26	13	by	by	ADP
iajs-1841	26	14	a	a	DET
iajs-1841	26	15	very	very	ADV
iajs-1841	26	16	small	small	ADJ
iajs-1841	26	17	quantity	quantity	NOUN
iajs-1841	26	18	.	.	PUNCT
iajs-1841	27	1	therefore	therefore	ADV
iajs-1841	27	2	,	,	PUNCT
iajs-1841	27	3	the	the	DET
iajs-1841	27	4	determination	determination	NOUN
iajs-1841	27	5	whether	whether	SCONJ
iajs-1841	27	6	the	the	DET
iajs-1841	27	7	multi	multi	NOUN
iajs-1841	27	8	-	-	ADJ
iajs-1841	27	9	collinearity	collinearity	NOUN
iajs-1841	27	10	is	be	AUX
iajs-1841	27	11	a	a	DET
iajs-1841	27	12	problem	problem	NOUN
iajs-1841	27	13	is	be	AUX
iajs-1841	27	14	one	one	NUM
iajs-1841	27	15	of	of	ADP
iajs-1841	27	16	the	the	DET
iajs-1841	27	17	first	first	ADJ
iajs-1841	27	18	steps	step	NOUN
iajs-1841	27	19	in	in	ADP
iajs-1841	27	20	regression	regression	NOUN
iajs-1841	27	21	-	-	PUNCT
iajs-1841	27	22	analysis	analysis	NOUN
iajs-1841	27	23	.	.	PUNCT
iajs-1841	28	1	multi	multi	ADJ
iajs-1841	28	2	-	-	NOUN
iajs-1841	28	3	collinearity	collinearity	NOUN
iajs-1841	28	4	can	can	AUX
iajs-1841	28	5	be	be	AUX
iajs-1841	28	6	thought	think	VERB
iajs-1841	28	7	of	of	ADP
iajs-1841	28	8	as	as	ADP
iajs-1841	28	9	a	a	DET
iajs-1841	28	10	situation	situation	NOUN
iajs-1841	28	11	where	where	SCONJ
iajs-1841	28	12	two	two	NUM
iajs-1841	28	13	or	or	CCONJ
iajs-1841	28	14	more	more	ADJ
iajs-1841	28	15	explanatory	explanatory	ADJ
iajs-1841	28	16	variables	variable	NOUN
iajs-1841	28	17	in	in	ADP
iajs-1841	28	18	the	the	DET
iajs-1841	28	19	data	datum	NOUN
iajs-1841	28	20	set	set	VERB
iajs-1841	28	21	move	move	VERB
iajs-1841	28	22	together	together	ADV
iajs-1841	28	23	,	,	PUNCT
iajs-1841	28	24	as	as	ADP
iajs-1841	28	25	a	a	DET
iajs-1841	28	26	consequence	consequence	NOUN
iajs-1841	28	27	it	it	PRON
iajs-1841	28	28	is	be	AUX
iajs-1841	28	29	impossible	impossible	ADJ
iajs-1841	28	30	to	to	PART
iajs-1841	28	31	use	use	VERB
iajs-1841	28	32	this	this	DET
iajs-1841	28	33	data	datum	NOUN
iajs-1841	28	34	set	set	VERB
iajs-1841	28	35	to	to	PART
iajs-1841	28	36	decide	decide	VERB
iajs-1841	28	37	which	which	PRON
iajs-1841	28	38	of	of	ADP
iajs-1841	28	39	the	the	DET
iajs-1841	28	40	explanatory	explanatory	ADJ
iajs-1841	28	41	variables	variable	NOUN
iajs-1841	28	42	is	be	AUX
iajs-1841	28	43	producing	produce	VERB
iajs-1841	28	44	the	the	DET
iajs-1841	28	45	observed	observed	ADJ
iajs-1841	28	46	change	change	NOUN
iajs-1841	28	47	in	in	ADP
iajs-1841	28	48	the	the	DET
iajs-1841	28	49	response	response	NOUN
iajs-1841	28	50	variable	variable	NOUN
iajs-1841	28	51	.	.	PUNCT
iajs-1841	29	1	some	some	DET
iajs-1841	29	2	multi	multi	ADJ
iajs-1841	29	3	-	-	ADJ
iajs-1841	29	4	collinearty	collinearty	NOUN
iajs-1841	29	5	is	be	AUX
iajs-1841	29	6	nearly	nearly	ADV
iajs-1841	29	7	always	always	ADV
iajs-1841	29	8	present	present	ADJ
iajs-1841	29	9	,	,	PUNCT
iajs-1841	29	10	but	but	CCONJ
iajs-1841	29	11	the	the	DET
iajs-1841	29	12	important	important	ADJ
iajs-1841	29	13	point	point	NOUN
iajs-1841	29	14	is	be	AUX
iajs-1841	29	15	whether	whether	SCONJ
iajs-1841	29	16	it	it	PRON
iajs-1841	29	17	is	be	AUX
iajs-1841	29	18	serious	serious	ADJ
iajs-1841	29	19	enough	enough	ADV
iajs-1841	29	20	to	to	PART
iajs-1841	29	21	cause	cause	VERB
iajs-1841	29	22	appreciable	appreciable	ADJ
iajs-1841	29	23	damage	damage	NOUN
iajs-1841	29	24	to	to	ADP
iajs-1841	29	25	the	the	DET
iajs-1841	29	26	regression	regression	NOUN
iajs-1841	29	27	analysis	analysis	NOUN
iajs-1841	29	28	.	.	PUNCT
iajs-1841	30	1	indicators	indicator	NOUN
iajs-1841	30	2	of	of	ADP
iajs-1841	30	3	multicollineaity	multicollineaity	NOUN
iajs-1841	30	4	include	include	VERB
iajs-1841	30	5	a	a	DET
iajs-1841	30	6	low	low	ADJ
iajs-1841	30	7	determinant	determinant	NOUN
iajs-1841	30	8	of	of	ADP
iajs-1841	30	9	the	the	DET
iajs-1841	30	10	information	information	NOUN
iajs-1841	30	11	matrix	matrix	NOUN
iajs-1841	30	12	x'x	x'x	PROPN
iajs-1841	30	13	,	,	PUNCT
iajs-1841	30	14	a	a	DET
iajs-1841	30	15	very	very	ADV
iajs-1841	30	16	high	high	ADJ
iajs-1841	30	17	correlation	correlation	NOUN
iajs-1841	30	18	among	among	ADP
iajs-1841	30	19	two	two	NUM
iajs-1841	30	20	or	or	CCONJ
iajs-1841	30	21	more	more	ADJ
iajs-1841	30	22	explanatory	explanatory	ADJ
iajs-1841	30	23	variables	variable	NOUN
iajs-1841	30	24	,	,	PUNCT
iajs-1841	30	25	very	very	ADV
iajs-1841	30	26	high	high	ADJ
iajs-1841	30	27	correlation	correlation	NOUN
iajs-1841	30	28	among	among	ADP
iajs-1841	30	29	two	two	NUM
iajs-1841	30	30	or	or	CCONJ
iajs-1841	30	31	more	more	ADV
iajs-1841	30	32	estimated	estimate	VERB
iajs-1841	30	33	coefficients	coefficient	NOUN
iajs-1841	30	34	,	,	PUNCT
iajs-1841	30	35	a	a	DET
iajs-1841	30	36	very	very	ADV
iajs-1841	30	37	small	small	ADJ
iajs-1841	30	38	(	(	PUNCT
iajs-1841	30	39	near	near	ADP
iajs-1841	30	40	zero	zero	NUM
iajs-1841	30	41	)	)	PUNCT
iajs-1841	30	42	eigenvalues	eigenvalue	NOUN
iajs-1841	30	43	of	of	ADP
iajs-1841	30	44	the	the	DET
iajs-1841	30	45	correlation	correlation	NOUN
iajs-1841	30	46	matrix	matrix	NOUN
iajs-1841	30	47	of	of	ADP
iajs-1841	30	48	the	the	DET
iajs-1841	30	49	explanatory	explanatory	ADJ
iajs-1841	30	50	variables	variable	NOUN
iajs-1841	30	51	and	and	CCONJ
iajs-1841	30	52	the	the	DET
iajs-1841	30	53	too	too	ADV
iajs-1841	30	54	large	large	ADJ
iajs-1841	30	55	condition	condition	NOUN
iajs-1841	30	56	number	number	NOUN
iajs-1841	30	57	.	.	PUNCT
iajs-1841	31	1	the	the	DET
iajs-1841	31	2	class	class	NOUN
iajs-1841	31	3	of	of	ADP
iajs-1841	31	4	shrinkage	shrinkage	NOUN
iajs-1841	31	5	estimators	estimator	NOUN
iajs-1841	31	6	applying	apply	VERB
iajs-1841	31	7	the	the	DET
iajs-1841	31	8	singular	singular	ADJ
iajs-1841	31	9	value	value	NOUN
iajs-1841	31	10	decomposition	decomposition	NOUN
iajs-1841	31	11	technique	technique	NOUN
iajs-1841	31	12	,	,	PUNCT
iajs-1841	31	13	we	we	PRON
iajs-1841	31	14	can	can	AUX
iajs-1841	31	15	decompose	decompose	VERB
iajs-1841	31	16	the	the	DET
iajs-1841	31	17	matrix	matrix	NOUN
iajs-1841	31	18	x	x	PUNCT
iajs-1841	31	19	as	as	SCONJ
iajs-1841	31	20	follows	follow	VERB
iajs-1841	31	21	[	[	X
iajs-1841	31	22	1	1	NUM
iajs-1841	31	23	]	]	SYM
iajs-1841	31	24	1	1	NUM
iajs-1841	31	25	2x	2x	NUM
iajs-1841	31	26	=	=	PUNCT
iajs-1841	31	27	h	h	NOUN
iajs-1841	31	28	λ	λ	NOUN
iajs-1841	31	29	g	g	NOUN
iajs-1841	31	30	'	'	PUNCT
iajs-1841	31	31	(	(	PUNCT
iajs-1841	31	32	2	2	NUM
iajs-1841	31	33	)	)	PUNCT
iajs-1841	31	34	where	where	SCONJ
iajs-1841	31	35	h	h	NOUN
iajs-1841	31	36	is	be	AUX
iajs-1841	31	37	(	(	PUNCT
iajs-1841	31	38	n	n	CCONJ
iajs-1841	31	39	p	p	NOUN
iajs-1841	31	40	)	)	PUNCT
iajs-1841	31	41	matrix	matrix	NOUN
iajs-1841	31	42	satisfying	satisfying	NOUN
iajs-1841	31	43	h'h	h'h	NOUN
iajs-1841	31	44	=	=	NOUN
iajs-1841	31	45	ip	ip	ADJ
iajs-1841	31	46	,	,	PUNCT
iajs-1841	31	47	1	1	NUM
iajs-1841	31	48	2	2	NOUN
iajs-1841	31	49	is	be	AUX
iajs-1841	31	50	a	a	DET
iajs-1841	31	51	(	(	PUNCT
iajs-1841	31	52	pp	pp	NOUN
iajs-1841	31	53	)	)	PUNCT
iajs-1841	31	54	diagonal	diagonal	ADJ
iajs-1841	31	55	matrix	matrix	NOUN
iajs-1841	31	56	of	of	ADP
iajs-1841	31	57	ordered	order	VERB
iajs-1841	31	58	singular	singular	ADJ
iajs-1841	31	59	values	value	NOUN
iajs-1841	31	60	of	of	ADP
iajs-1841	31	61	x.	x.	NOUN
iajs-1841	31	62	1	1	NUM
iajs-1841	31	63	1	1	NUM
iajs-1841	31	64	1	1	NUM
iajs-1841	31	65	2	2	NUM
iajs-1841	31	66	2	2	NUM
iajs-1841	31	67	2	2	NUM
iajs-1841	31	68	1	1	NUM
iajs-1841	31	69	2	2	NUM
iajs-1841	32	1	pλ	pλ	NOUN
iajs-1841	32	2	λ	λ	NOUN
iajs-1841	32	3	...	...	PUNCT
iajs-1841	33	1	λ	λ	X
iajs-1841	33	2	>	>	X
iajs-1841	33	3	0	0	PROPN
iajs-1841	33	4			NUM
iajs-1841	33	5			NUM
iajs-1841	33	6	,	,	PUNCT
iajs-1841	33	7	g	g	PROPN
iajs-1841	33	8	is	be	AUX
iajs-1841	33	9	a	a	DET
iajs-1841	33	10	(	(	PUNCT
iajs-1841	33	11	pp)orthogonal	pp)orthogonal	ADJ
iajs-1841	33	12	matrix	matrix	NOUN
iajs-1841	33	13	whose	whose	DET
iajs-1841	33	14	columns	column	NOUN
iajs-1841	33	15	represent	represent	VERB
iajs-1841	33	16	the	the	DET
iajs-1841	33	17	normalized	normalize	VERB
iajs-1841	33	18	eigenvectors	eigenvector	NOUN
iajs-1841	33	19	of	of	ADP
iajs-1841	33	20	x'x	x'x	PROPN
iajs-1841	33	21	.	.	PUNCT
iajs-1841	34	1	consequently	consequently	ADV
iajs-1841	34	2	,	,	PUNCT
iajs-1841	34	3	the	the	DET
iajs-1841	34	4	ordinary	ordinary	ADJ
iajs-1841	34	5	least	least	ADJ
iajs-1841	34	6	squares	square	NOUN
iajs-1841	34	7	estimator	estimator	NOUN
iajs-1841	34	8	of	of	ADP
iajs-1841	34	9	the	the	DET
iajs-1841	34	10	regression	regression	NOUN
iajs-1841	34	11	parameters	parameter	NOUN
iajs-1841	34	12	vector	vector	PROPN
iajs-1841	34	13			PROPN
iajs-1841	34	14	can	can	AUX
iajs-1841	34	15	be	be	AUX
iajs-1841	34	16	rewritten	rewrite	VERB
iajs-1841	34	17	as	as	ADP
iajs-1841	34	18	:	:	PUNCT
iajs-1841	34	19	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	PUNCT
iajs-1841	34	20	mathematics	mathematic	NOUN
iajs-1841	34	21	|	|	ADV
iajs-1841	34	22	214	214	NUM
iajs-1841	34	23	2018	2018	NUM
iajs-1841	34	24	)	)	PUNCT
iajs-1841	34	25	عام	عام	ADP
iajs-1841	34	26	1(العدد	1(العدد	NUM
iajs-1841	34	27	)	)	PUNCT
iajs-1841	34	28	31(لمجلد	31(لمجلد	NUM
iajs-1841	34	29	ا	ا	X
iajs-1841	34	30	مجلة	مجلة	PROPN
iajs-1841	34	31	إبن	إبن	VERB
iajs-1841	34	32	الهيثم	الهيثم	ADJ
iajs-1841	34	33	للعلوم	للعلوم	NOUN
iajs-1841	34	34	الصرفة	الصرفة	NOUN
iajs-1841	35	1	و	و	PRON
iajs-1841	35	2	التطبيقية	التطبيقية	ADJ
iajs-1841	35	3	ibn	ibn	PROPN
iajs-1841	35	4	al	al	PROPN
iajs-1841	35	5	-	-	PUNCT
iajs-1841	35	6	haitham	haitham	PROPN
iajs-1841	35	7	j.	j.	PROPN
iajs-1841	35	8	for	for	ADP
iajs-1841	35	9	pure	pure	PROPN
iajs-1841	35	10	&	&	CCONJ
iajs-1841	35	11	appl	appl	PROPN
iajs-1841	35	12	.	.	PUNCT
iajs-1841	36	1	sci	sci	PROPN
iajs-1841	36	2	.	.	PUNCT
iajs-1841	37	1	vol.31	vol.31	PROPN
iajs-1841	37	2	(	(	PUNCT
iajs-1841	37	3	1	1	NUM
iajs-1841	37	4	)	)	PUNCT
iajs-1841	37	5	2018	2018	NUM
iajs-1841	37	6	1	1	NUM
iajs-1841	37	7	olsb	olsb	NOUN
iajs-1841	37	8	=(	=(	PROPN
iajs-1841	37	9	x'x	x'x	PROPN
iajs-1841	37	10	)	)	PUNCT
iajs-1841	37	11	x'y	x'y	PUNCT
iajs-1841	38	1	=	=	SYM
iajs-1841	38	2	1	1	NUM
iajs-1841	38	3	1	1	NUM
iajs-1841	38	4	2(g	2(g	NUM
iajs-1841	38	5	λg	λg	NOUN
iajs-1841	38	6	'	'	PUNCT
iajs-1841	38	7	)	)	PUNCT
iajs-1841	38	8	g	g	PROPN
iajs-1841	38	9	λ	λ	PROPN
iajs-1841	38	10	h'y	h'y	NOUN
iajs-1841	38	11	=	=	NOUN
iajs-1841	38	12	1	1	NUM
iajs-1841	38	13	2	2	NUM
iajs-1841	38	14	g	g	NOUN
iajs-1841	38	15	λ	λ	PROPN
iajs-1841	38	16	h'y	h'y	PRON
iajs-1841	38	17			NOUN
iajs-1841	38	18	=	=	SYM
iajs-1841	38	19	gc	gc	PROPN
iajs-1841	38	20	where	where	SCONJ
iajs-1841	38	21	c	c	NOUN
iajs-1841	38	22	=	=	SYM
iajs-1841	38	23	1	1	NUM
iajs-1841	38	24	2	2	NUM
iajs-1841	38	25	λ	λ	NOUN
iajs-1841	38	26	h'y	h'y	NOUN
iajs-1841	38	27	=	=	PUNCT
iajs-1841	38	28	g	g	NOUN
iajs-1841	38	29	'	'	PUNCT
iajs-1841	38	30	olsb	olsb	NOUN
iajs-1841	38	31	is	be	AUX
iajs-1841	38	32	the	the	DET
iajs-1841	38	33	vector	vector	NOUN
iajs-1841	38	34	of	of	ADP
iajs-1841	38	35	uncorrelated	uncorrelated	ADJ
iajs-1841	38	36	components	component	NOUN
iajs-1841	38	37	of	of	ADP
iajs-1841	38	38	olsb	olsb	PROPN
iajs-1841	38	39	.	.	PUNCT
iajs-1841	39	1	this	this	PRON
iajs-1841	39	2	can	can	AUX
iajs-1841	39	3	be	be	AUX
iajs-1841	39	4	noticed	notice	VERB
iajs-1841	39	5	by	by	ADP
iajs-1841	39	6	considering	consider	VERB
iajs-1841	39	7	the	the	DET
iajs-1841	39	8	variance	variance	NOUN
iajs-1841	39	9	-	-	PUNCT
iajs-1841	39	10	covariance	covariance	NOUN
iajs-1841	39	11	matrix	matrix	NOUN
iajs-1841	39	12	of	of	ADP
iajs-1841	39	13	c	c	PROPN
iajs-1841	39	14	that	that	PRON
iajs-1841	39	15	can	can	AUX
iajs-1841	39	16	be	be	AUX
iajs-1841	39	17	easily	easily	ADV
iajs-1841	39	18	shown	show	VERB
iajs-1841	39	19	to	to	PART
iajs-1841	39	20	equal	equal	VERB
iajs-1841	39	21	the	the	DET
iajs-1841	39	22	diagonal	diagonal	ADJ
iajs-1841	39	23	matrix	matrix	NOUN
iajs-1841	39	24	2	2	NUM
iajs-1841	39	25	1	1	NUM
iajs-1841	39	26			NOUN
iajs-1841	39	27	.	.	PUNCT
iajs-1841	40	1	the	the	DET
iajs-1841	40	2	generalized	generalized	ADJ
iajs-1841	40	3	shrinkage	shrinkage	NOUN
iajs-1841	40	4	estimators	estimator	NOUN
iajs-1841	40	5	denoted	denote	VERB
iajs-1841	40	6	by	by	ADP
iajs-1841	40	7	shb	shb	PROPN
iajs-1841	40	8	can	can	AUX
iajs-1841	40	9	be	be	AUX
iajs-1841	40	10	defined	define	VERB
iajs-1841	40	11	as	as	ADP
iajs-1841	40	12	shb	shb	PROPN
iajs-1841	40	13	=	=	PROPN
iajs-1841	40	14	p	p	PROPN
iajs-1841	40	15	j	j	PROPN
iajs-1841	40	16	j	j	PROPN
iajs-1841	40	17	j	j	PROPN
iajs-1841	40	18	j=1	j=1	PROPN
iajs-1841	40	19	gδc	gδc	VERB
iajs-1841	40	20	=	=	PUNCT
iajs-1841	40	21	g	g	PROPN
iajs-1841	40	22	δ	δ	PROPN
iajs-1841	40	23	c	c	PROPN
iajs-1841	40	24			PROPN
iajs-1841	40	25	(	(	PUNCT
iajs-1841	40	26	3	3	NUM
iajs-1841	40	27	)	)	PUNCT
iajs-1841	40	28	where	where	SCONJ
iajs-1841	40	29	jg	jg	PROPN
iajs-1841	40	30			PROPN
iajs-1841	40	31	is	be	AUX
iajs-1841	40	32	thejthcolumn	thejthcolumn	NOUN
iajs-1841	40	33	of	of	ADP
iajs-1841	40	34	the	the	DET
iajs-1841	40	35	matrix	matrix	NOUN
iajs-1841	40	36	g	g	NOUN
iajs-1841	40	37	,	,	PUNCT
iajs-1841	40	38	jδ	jδ	PROPN
iajs-1841	40	39	is	be	AUX
iajs-1841	40	40	the	the	DET
iajs-1841	40	41	jthdiagonal	jthdiagonal	ADJ
iajs-1841	40	42	element	element	NOUN
iajs-1841	40	43	of	of	ADP
iajs-1841	40	44	the	the	DET
iajs-1841	40	45	shrinkage	shrinkage	NOUN
iajs-1841	40	46	factors	factor	VERB
iajs-1841	40	47	diagonal	diagonal	ADJ
iajs-1841	40	48	matrix	matrix	NOUN
iajs-1841	40	49			NOUN
iajs-1841	40	50	,	,	PUNCT
iajs-1841	40	51	j0	j0	PROPN
iajs-1841	40	52	δ	δ	PROPN
iajs-1841	40	53	1	1	NUM
iajs-1841	40	54	,	,	PUNCT
iajs-1841	40	55	j	j	PROPN
iajs-1841	40	56	=	=	SYM
iajs-1841	40	57	1	1	NUM
iajs-1841	40	58	,	,	PUNCT
iajs-1841	40	59	2	2	NUM
iajs-1841	40	60	,	,	PUNCT
iajs-1841	40	61	...	...	PUNCT
iajs-1841	40	62	,	,	PUNCT
iajs-1841	40	63	p	p	VERB
iajs-1841	40	64			NOUN
iajs-1841	40	65	and	and	CCONJ
iajs-1841	40	66	jc	jc	PROPN
iajs-1841	40	67	is	be	AUX
iajs-1841	40	68	thejthelement	thejthelement	NOUN
iajs-1841	40	69	of	of	ADP
iajs-1841	40	70	the	the	DET
iajs-1841	40	71	uncorrelated	uncorrelated	ADJ
iajs-1841	40	72	components	component	NOUN
iajs-1841	40	73	vector	vector	PROPN
iajs-1841	40	74	c.	c.	PROPN
iajs-1841	40	75	ordinary	ordinary	PROPN
iajs-1841	40	76	ridge	ridge	PROPN
iajs-1841	40	77	regression	regression	NOUN
iajs-1841	40	78	estimators	estimator	VERB
iajs-1841	40	79	the	the	DET
iajs-1841	40	80	most	most	ADV
iajs-1841	40	81	popular	popular	ADJ
iajs-1841	40	82	method	method	NOUN
iajs-1841	40	83	that	that	PRON
iajs-1841	40	84	has	have	AUX
iajs-1841	40	85	been	be	AUX
iajs-1841	40	86	proposed	propose	VERB
iajs-1841	40	87	to	to	PART
iajs-1841	40	88	deal	deal	VERB
iajs-1841	40	89	with	with	ADP
iajs-1841	40	90	multi	multi	ADJ
iajs-1841	40	91	-	-	ADJ
iajs-1841	40	92	collinearity	collinearity	ADJ
iajs-1841	40	93	problem	problem	NOUN
iajs-1841	40	94	is	be	AUX
iajs-1841	40	95	the	the	DET
iajs-1841	40	96	ordinary	ordinary	ADJ
iajs-1841	40	97	ridge	ridge	NOUN
iajs-1841	40	98	regression	regression	NOUN
iajs-1841	40	99	.	.	PUNCT
iajs-1841	41	1	the	the	DET
iajs-1841	41	2	ordinary	ordinary	ADJ
iajs-1841	41	3	ridge	ridge	PROPN
iajs-1841	41	4	regression	regression	NOUN
iajs-1841	41	5	method	method	NOUN
iajs-1841	41	6	is	be	AUX
iajs-1841	41	7	a	a	DET
iajs-1841	41	8	modification	modification	NOUN
iajs-1841	41	9	of	of	ADP
iajs-1841	41	10	ordinary	ordinary	ADJ
iajs-1841	41	11	least	least	ADJ
iajs-1841	41	12	squares	square	NOUN
iajs-1841	41	13	method	method	VERB
iajs-1841	41	14	to	to	PART
iajs-1841	41	15	allow	allow	VERB
iajs-1841	41	16	the	the	DET
iajs-1841	41	17	biased	biased	ADJ
iajs-1841	41	18	estimators	estimator	NOUN
iajs-1841	41	19	of	of	ADP
iajs-1841	41	20	regression	regression	NOUN
iajs-1841	41	21	coefficients	coefficient	NOUN
iajs-1841	41	22	.	.	PUNCT
iajs-1841	42	1	the	the	DET
iajs-1841	42	2	ridge	ridge	NOUN
iajs-1841	42	3	estimators	estimator	NOUN
iajs-1841	42	4	depend	depend	VERB
iajs-1841	42	5	crucially	crucially	ADV
iajs-1841	42	6	upon	upon	SCONJ
iajs-1841	42	7	an	an	DET
iajs-1841	42	8	exogenous	exogenous	ADJ
iajs-1841	42	9	parameter	parameter	NOUN
iajs-1841	42	10	,	,	PUNCT
iajs-1841	42	11	say	say	VERB
iajs-1841	42	12	k	k	NOUN
iajs-1841	42	13	,	,	PUNCT
iajs-1841	42	14	called	call	VERB
iajs-1841	42	15	the	the	DET
iajs-1841	42	16	ridge	ridge	NOUN
iajs-1841	42	17	parameter	parameter	NOUN
iajs-1841	42	18	or	or	CCONJ
iajs-1841	42	19	the	the	DET
iajs-1841	42	20	biasing	bias	VERB
iajs-1841	42	21	parameter	parameter	NOUN
iajs-1841	42	22	of	of	ADP
iajs-1841	42	23	the	the	DET
iajs-1841	42	24	estimator	estimator	NOUN
iajs-1841	42	25	.	.	PUNCT
iajs-1841	43	1	for	for	ADP
iajs-1841	43	2	any	any	DET
iajs-1841	43	3	k	k	PROPN
iajs-1841	43	4	0	0	NOUN
iajs-1841	43	5	,	,	PUNCT
iajs-1841	43	6	the	the	DET
iajs-1841	43	7	corresponding	corresponding	ADJ
iajs-1841	43	8	ordinary	ordinary	ADJ
iajs-1841	43	9	ridge	ridge	NOUN
iajs-1841	43	10	estimator	estimator	NOUN
iajs-1841	43	11	denoted	denote	VERB
iajs-1841	43	12	by	by	ADP
iajs-1841	43	13	rrb	rrb	PROPN
iajs-1841	43	14	is	be	AUX
iajs-1841	43	15	defined	define	VERB
iajs-1841	43	16	as	as	ADP
iajs-1841	43	17	:	:	PUNCT
iajs-1841	43	18	1	1	NUM
iajs-1841	43	19	rrb	rrb	NOUN
iajs-1841	43	20	=	=	PUNCT
iajs-1841	43	21	(	(	PUNCT
iajs-1841	43	22	x'x	x'x	VERB
iajs-1841	43	23	+	+	CCONJ
iajs-1841	43	24	ki	ki	PROPN
iajs-1841	43	25	)	)	PUNCT
iajs-1841	43	26	x'y	x'y	PROPN
iajs-1841	43	27	(	(	PUNCT
iajs-1841	43	28	4	4	X
iajs-1841	43	29	)	)	PUNCT
iajs-1841	43	30	wherek	wherek	NOUN
iajs-1841	43	31	0	0	NOUN
iajs-1841	43	32	is	be	AUX
iajs-1841	43	33	a	a	DET
iajs-1841	43	34	constant	constant	ADJ
iajs-1841	43	35	selected	select	VERB
iajs-1841	43	36	by	by	ADP
iajs-1841	43	37	the	the	DET
iajs-1841	43	38	statistician	statistician	NOUN
iajs-1841	43	39	according	accord	VERB
iajs-1841	43	40	to	to	ADP
iajs-1841	43	41	some	some	DET
iajs-1841	43	42	intuitively	intuitively	ADV
iajs-1841	43	43	plausible	plausible	ADJ
iajs-1841	43	44	criteria	criterion	NOUN
iajs-1841	43	45	put	put	VERB
iajs-1841	43	46	forward	forward	ADV
iajs-1841	43	47	by	by	ADP
iajs-1841	43	48	hoerl	hoerl	NOUN
iajs-1841	43	49	and	and	CCONJ
iajs-1841	43	50	kennard	kennard	NOUN
iajs-1841	43	51	[	[	X
iajs-1841	43	52	2	2	NUM
iajs-1841	43	53	]	]	PUNCT
iajs-1841	43	54	.	.	PUNCT
iajs-1841	44	1	it	it	PRON
iajs-1841	44	2	can	can	AUX
iajs-1841	44	3	be	be	AUX
iajs-1841	44	4	shown	show	VERB
iajs-1841	44	5	that	that	SCONJ
iajs-1841	44	6	the	the	DET
iajs-1841	44	7	ridge	ridge	PROPN
iajs-1841	44	8	regression	regression	PROPN
iajs-1841	44	9	estimator	estimator	NOUN
iajs-1841	44	10	given	give	VERB
iajs-1841	44	11	in	in	ADP
iajs-1841	44	12	equation	equation	NOUN
iajs-1841	44	13	(	(	PUNCT
iajs-1841	44	14	4	4	NUM
iajs-1841	44	15	)	)	PUNCT
iajs-1841	44	16	is	be	AUX
iajs-1841	44	17	a	a	DET
iajs-1841	44	18	member	member	NOUN
iajs-1841	44	19	of	of	ADP
iajs-1841	44	20	the	the	DET
iajs-1841	44	21	class	class	NOUN
iajs-1841	44	22	of	of	ADP
iajs-1841	44	23	shrinkage	shrinkage	NOUN
iajs-1841	44	24	estimators	estimator	NOUN
iajs-1841	44	25	as	as	SCONJ
iajs-1841	44	26	follows	follow	VERB
iajs-1841	44	27	by	by	ADP
iajs-1841	44	28	using	use	VERB
iajs-1841	44	29	matrix	matrix	NOUN
iajs-1841	44	30	algebra	algebra	NOUN
iajs-1841	44	31	and	and	CCONJ
iajs-1841	44	32	singular	singular	ADJ
iajs-1841	44	33	value	value	NOUN
iajs-1841	44	34	decomposition	decomposition	NOUN
iajs-1841	44	35	approach	approach	NOUN
iajs-1841	44	36	we	we	PRON
iajs-1841	44	37	get	get	VERB
iajs-1841	44	38	1	1	NUM
iajs-1841	44	39	rrb	rrb	PROPN
iajs-1841	44	40	=(	=(	NOUN
iajs-1841	44	41	x'x	x'x	PROPN
iajs-1841	45	1	+	+	PROPN
iajs-1841	45	2	ki	ki	X
iajs-1841	45	3	)	)	PUNCT
iajs-1841	45	4	x'y	x'y	PUNCT
iajs-1841	46	1	=	=	SYM
iajs-1841	47	1	1	1	NUM
iajs-1841	47	2	1	1	NUM
iajs-1841	47	3	2[g(λ+ki)g	2[g(λ+ki)g	NUM
iajs-1841	47	4	'	'	PUNCT
iajs-1841	47	5	]	]	PUNCT
iajs-1841	47	6	g	g	PROPN
iajs-1841	47	7	λ	λ	X
iajs-1841	47	8	hy	hy	X
iajs-1841	47	9	=	=	NOUN
iajs-1841	47	10	1	1	NUM
iajs-1841	47	11	1	1	NUM
iajs-1841	47	12	2	2	NUM
iajs-1841	47	13	g	g	NOUN
iajs-1841	47	14	(	(	PUNCT
iajs-1841	47	15	λ	λ	PROPN
iajs-1841	47	16	+	+	CCONJ
iajs-1841	47	17	ki	ki	PROPN
iajs-1841	47	18	)	)	PUNCT
iajs-1841	47	19	g'gλ	g'gλ	PROPN
iajs-1841	47	20	h'y	h'y	PROPN
iajs-1841	47	21	=	=	NOUN
iajs-1841	47	22	1	1	NUM
iajs-1841	47	23	1	1	NUM
iajs-1841	47	24	2	2	NUM
iajs-1841	47	25	g	g	NOUN
iajs-1841	47	26	(	(	PUNCT
iajs-1841	47	27	λ	λ	PROPN
iajs-1841	47	28	+	+	CCONJ
iajs-1841	47	29	ki	ki	INTJ
iajs-1841	47	30	)	)	PUNCT
iajs-1841	48	1	λ	λ	PROPN
iajs-1841	48	2	h'y	h'y	NOUN
iajs-1841	48	3	=	=	SYM
iajs-1841	48	4	1	1	NUM
iajs-1841	48	5	-1	-1	SYM
iajs-1841	48	6	2	2	NUM
iajs-1841	48	7	g	g	NOUN
iajs-1841	48	8	[	[	PUNCT
iajs-1841	48	9	(	(	PUNCT
iajs-1841	48	10	λ	λ	X
iajs-1841	48	11	+	+	CCONJ
iajs-1841	48	12	ki	ki	PROPN
iajs-1841	48	13	)	)	PUNCT
iajs-1841	48	14	λ]λ	λ]λ	VERB
iajs-1841	48	15	h'y	h'y	NOUN
iajs-1841	48	16	=	=	PUNCT
iajs-1841	48	17	gδc	gδc	NOUN
iajs-1841	48	18	(	(	PUNCT
iajs-1841	48	19	5	5	NUM
iajs-1841	48	20	)	)	PUNCT
iajs-1841	48	21	where	where	SCONJ
iajs-1841	48	22	1δ	1δ	NUM
iajs-1841	48	23	=	=	SYM
iajs-1841	48	24	(	(	PUNCT
iajs-1841	48	25	λ+ki	λ+ki	X
iajs-1841	48	26	)	)	PUNCT
iajs-1841	48	27	λ	λ	PROPN
iajs-1841	48	28	.	.	PUNCT
iajs-1841	49	1	equivalently	equivalently	ADV
iajs-1841	49	2	,	,	PUNCT
iajs-1841	49	3	the	the	DET
iajs-1841	49	4	shrinkage	shrinkage	NOUN
iajs-1841	49	5	factors	factor	VERB
iajs-1841	49	6	jδ	jδ	NOUN
iajs-1841	49	7	,	,	PUNCT
iajs-1841	49	8	j=	j=	PROPN
iajs-1841	49	9	1,2,	1,2,	NUM
iajs-1841	49	10	...	...	PUNCT
iajs-1841	49	11	,p	,p	PUNCT
iajs-1841	49	12	of	of	ADP
iajs-1841	49	13	the	the	DET
iajs-1841	49	14	ridge	ridge	NOUN
iajs-1841	49	15	estimator	estimator	NOUN
iajs-1841	49	16	has	have	VERB
iajs-1841	49	17	the	the	DET
iajs-1841	49	18	form	form	NOUN
iajs-1841	50	1	jδ	jδ	NOUN
iajs-1841	50	2	=	=	PUNCT
iajs-1841	51	1	j	j	PROPN
iajs-1841	51	2	j	j	PROPN
iajs-1841	51	3	λ	λ	X
iajs-1841	51	4	λ	λ	PROPN
iajs-1841	51	5	+	+	CCONJ
iajs-1841	51	6	k	k	X
iajs-1841	51	7	(	(	PUNCT
iajs-1841	51	8	6	6	NUM
iajs-1841	51	9	)	)	PUNCT
iajs-1841	51	10	where	where	SCONJ
iajs-1841	51	11	jλ	jλ	NOUN
iajs-1841	51	12	is	be	AUX
iajs-1841	51	13	thejth	thejth	PROPN
iajs-1841	51	14	element	element	NOUN
iajs-1841	51	15	(	(	PUNCT
iajs-1841	51	16	eigenvalue	eigenvalue	PROPN
iajs-1841	51	17	)	)	PUNCT
iajs-1841	51	18	of	of	ADP
iajs-1841	51	19	the	the	DET
iajs-1841	51	20	diagonal	diagonal	ADJ
iajs-1841	51	21	matrix	matrix	NOUN
iajs-1841	51	22			NOUN
iajs-1841	51	23	,	,	PUNCT
iajs-1841	51	24	and	and	CCONJ
iajs-1841	51	25	k	k	PROPN
iajs-1841	51	26	is	be	AUX
iajs-1841	51	27	the	the	DET
iajs-1841	51	28	ridge	ridge	NOUN
iajs-1841	51	29	parameter	parameter	NOUN
iajs-1841	51	30	.	.	PUNCT
iajs-1841	52	1	the	the	DET
iajs-1841	52	2	mean	mean	ADJ
iajs-1841	52	3	square	square	ADJ
iajs-1841	52	4	error	error	NOUN
iajs-1841	52	5	of	of	ADP
iajs-1841	52	6	ordinary	ordinary	ADJ
iajs-1841	52	7	ridge	ridge	PROPN
iajs-1841	52	8	regression	regression	PROPN
iajs-1841	52	9	estimator	estimator	NOUN
iajs-1841	52	10	can	can	AUX
iajs-1841	52	11	easily	easily	ADV
iajs-1841	52	12	demonstrated	demonstrate	VERB
iajs-1841	52	13	to	to	ADP
iajs-1841	52	14	be[2	be[2	PROPN
iajs-1841	52	15	]	]	PUNCT
iajs-1841	52	16	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	PUNCT
iajs-1841	52	17	mathematics	mathematic	NOUN
iajs-1841	52	18	|	|	ADV
iajs-1841	52	19	215	215	NUM
iajs-1841	52	20	2018	2018	NUM
iajs-1841	52	21	)	)	PUNCT
iajs-1841	52	22	عام	عام	ADP
iajs-1841	52	23	1(العدد	1(العدد	NUM
iajs-1841	52	24	)	)	PUNCT
iajs-1841	52	25	31(لمجلد	31(لمجلد	NUM
iajs-1841	52	26	ا	ا	X
iajs-1841	53	1	مجلة	مجلة	PROPN
iajs-1841	53	2	إبن	إبن	VERB
iajs-1841	53	3	الهيثم	الهيثم	ADJ
iajs-1841	53	4	للعلوم	للعلوم	NOUN
iajs-1841	53	5	الصرفة	الصرفة	NOUN
iajs-1841	54	1	و	و	PRON
iajs-1841	54	2	التطبيقية	التطبيقية	ADJ
iajs-1841	54	3	ibn	ibn	PROPN
iajs-1841	54	4	al	al	PROPN
iajs-1841	54	5	-	-	PUNCT
iajs-1841	54	6	haitham	haitham	PROPN
iajs-1841	54	7	j.	j.	PROPN
iajs-1841	54	8	for	for	ADP
iajs-1841	54	9	pure	pure	PROPN
iajs-1841	54	10	&	&	CCONJ
iajs-1841	54	11	appl	appl	PROPN
iajs-1841	54	12	.	.	PUNCT
iajs-1841	55	1	sci	sci	PROPN
iajs-1841	55	2	.	.	PUNCT
iajs-1841	56	1	vol.31	vol.31	PROPN
iajs-1841	56	2	(	(	PUNCT
iajs-1841	56	3	1	1	NUM
iajs-1841	56	4	)	)	PUNCT
iajs-1841	56	5	2018	2018	NUM
iajs-1841	57	1	p	p	NOUN
iajs-1841	57	2	2	2	NUM
iajs-1841	57	3	2	2	NUM
iajs-1841	57	4	2i	2i	NUM
iajs-1841	57	5	rr	rr	NOUN
iajs-1841	57	6	2	2	NUM
iajs-1841	57	7	i=1	i=1	PROPN
iajs-1841	57	8	i	i	PRON
iajs-1841	57	9	λ	λ	X
iajs-1841	57	10	mse(b	mse(b	PROPN
iajs-1841	57	11	)	)	PUNCT
iajs-1841	58	1	=	=	PUNCT
iajs-1841	59	1	σ	σ	PROPN
iajs-1841	60	1	+	+	CCONJ
iajs-1841	60	2	k	k	PROPN
iajs-1841	60	3	β'(x'x	β'(x'x	PROPN
iajs-1841	61	1	+	+	CCONJ
iajs-1841	61	2	ki	ki	PROPN
iajs-1841	61	3	)	)	PUNCT
iajs-1841	61	4	β	β	PROPN
iajs-1841	61	5	(	(	PUNCT
iajs-1841	61	6	λ	λ	X
iajs-1841	61	7	+	+	CCONJ
iajs-1841	61	8	k	k	NOUN
iajs-1841	61	9	)	)	PUNCT
iajs-1841	61	10			NOUN
iajs-1841	61	11	(	(	PUNCT
iajs-1841	61	12	7	7	X
iajs-1841	61	13	)	)	PUNCT
iajs-1841	61	14	the	the	DET
iajs-1841	61	15	first	first	ADJ
iajs-1841	61	16	term	term	NOUN
iajs-1841	61	17	can	can	AUX
iajs-1841	61	18	be	be	AUX
iajs-1841	61	19	shown	show	VERB
iajs-1841	61	20	to	to	PART
iajs-1841	61	21	be	be	AUX
iajs-1841	61	22	the	the	DET
iajs-1841	61	23	sum	sum	NOUN
iajs-1841	61	24	of	of	ADP
iajs-1841	61	25	variances(total	variances(total	ADJ
iajs-1841	61	26	variance	variance	NOUN
iajs-1841	61	27	)	)	PUNCT
iajs-1841	61	28	of	of	ADP
iajs-1841	61	29	the	the	DET
iajs-1841	61	30	parameter	parameter	NOUN
iajs-1841	61	31	estimates	estimate	NOUN
iajs-1841	61	32	and	and	CCONJ
iajs-1841	61	33	the	the	DET
iajs-1841	61	34	second	second	ADJ
iajs-1841	61	35	term	term	NOUN
iajs-1841	61	36	can	can	AUX
iajs-1841	61	37	be	be	AUX
iajs-1841	61	38	considered	consider	VERB
iajs-1841	61	39	to	to	PART
iajs-1841	61	40	be	be	AUX
iajs-1841	61	41	the	the	DET
iajs-1841	61	42	square	square	NOUN
iajs-1841	61	43	of	of	ADP
iajs-1841	61	44	the	the	DET
iajs-1841	61	45	bias	bias	NOUN
iajs-1841	61	46	introduced	introduce	VERB
iajs-1841	61	47	when	when	SCONJ
iajs-1841	61	48	rrb	rrb	PROPN
iajs-1841	61	49	is	be	AUX
iajs-1841	61	50	used	use	VERB
iajs-1841	61	51	instead	instead	ADV
iajs-1841	61	52	of	of	ADP
iajs-1841	61	53	olsb	olsb	NOUN
iajs-1841	61	54	.	.	PUNCT
iajs-1841	62	1	choice	choice	NOUN
iajs-1841	62	2	of	of	ADP
iajs-1841	62	3	ridge	ridge	PROPN
iajs-1841	62	4	parameter	parameter	PROPN
iajs-1841	62	5	the	the	DET
iajs-1841	62	6	ordinary	ordinary	ADJ
iajs-1841	62	7	ridge	ridge	NOUN
iajs-1841	62	8	regression	regression	NOUN
iajs-1841	62	9	estimators	estimator	NOUN
iajs-1841	62	10	do	do	AUX
iajs-1841	62	11	not	not	PART
iajs-1841	62	12	provide	provide	VERB
iajs-1841	62	13	a	a	DET
iajs-1841	62	14	unique	unique	ADJ
iajs-1841	62	15	solution	solution	NOUN
iajs-1841	62	16	to	to	ADP
iajs-1841	62	17	the	the	DET
iajs-1841	62	18	multicollinearity	multicollinearity	NOUN
iajs-1841	62	19	problem	problem	NOUN
iajs-1841	62	20	,	,	PUNCT
iajs-1841	62	21	but	but	CCONJ
iajs-1841	62	22	provide	provide	VERB
iajs-1841	62	23	a	a	DET
iajs-1841	62	24	family	family	NOUN
iajs-1841	62	25	of	of	ADP
iajs-1841	62	26	solutions	solution	NOUN
iajs-1841	62	27	.	.	PUNCT
iajs-1841	63	1	these	these	DET
iajs-1841	63	2	solutions	solution	NOUN
iajs-1841	63	3	depend	depend	VERB
iajs-1841	63	4	upon	upon	SCONJ
iajs-1841	63	5	the	the	DET
iajs-1841	63	6	ridge	ridge	NOUN
iajs-1841	63	7	parameter	parameter	NOUN
iajs-1841	63	8	(	(	PUNCT
iajs-1841	63	9	the	the	DET
iajs-1841	63	10	value	value	NOUN
iajs-1841	63	11	of	of	ADP
iajs-1841	63	12	k	k	NOUN
iajs-1841	63	13	)	)	PUNCT
iajs-1841	63	14	.	.	PUNCT
iajs-1841	64	1	no	no	DET
iajs-1841	64	2	explicit	explicit	ADJ
iajs-1841	64	3	optimum	optimum	ADJ
iajs-1841	64	4	value	value	NOUN
iajs-1841	64	5	can	can	AUX
iajs-1841	64	6	be	be	AUX
iajs-1841	64	7	found	find	VERB
iajs-1841	64	8	for	for	ADP
iajs-1841	64	9	k.	k.	PROPN
iajs-1841	64	10	yet	yet	ADV
iajs-1841	64	11	,	,	PUNCT
iajs-1841	64	12	several	several	ADJ
iajs-1841	64	13	stochastic	stochastic	ADJ
iajs-1841	64	14	choices	choice	NOUN
iajs-1841	64	15	have	have	AUX
iajs-1841	64	16	been	be	AUX
iajs-1841	64	17	proposed	propose	VERB
iajs-1841	64	18	for	for	ADP
iajs-1841	64	19	this	this	DET
iajs-1841	64	20	ridge	ridge	NOUN
iajs-1841	64	21	parameter	parameter	NOUN
iajs-1841	64	22	.	.	PUNCT
iajs-1841	65	1	some	some	PRON
iajs-1841	65	2	of	of	ADP
iajs-1841	65	3	these	these	DET
iajs-1841	65	4	choices	choice	NOUN
iajs-1841	65	5	may	may	AUX
iajs-1841	65	6	be	be	AUX
iajs-1841	65	7	summarized	summarize	VERB
iajs-1841	65	8	as	as	SCONJ
iajs-1841	65	9	follows	follow	VERB
iajs-1841	65	10	hoerl	hoerl	NOUN
iajs-1841	65	11	and	and	CCONJ
iajs-1841	65	12	kennard	kennard	NOUN
iajs-1841	65	13	(	(	PUNCT
iajs-1841	65	14	1970).suggested	1970).suggeste	VERB
iajs-1841	65	15	graphical	graphical	ADJ
iajs-1841	65	16	method	method	NOUN
iajs-1841	65	17	called	call	VERB
iajs-1841	65	18	ridge	ridge	NOUN
iajs-1841	65	19	trace	trace	NOUN
iajs-1841	65	20	to	to	PART
iajs-1841	65	21	select	select	VERB
iajs-1841	65	22	the	the	DET
iajs-1841	65	23	value	value	NOUN
iajs-1841	65	24	of	of	ADP
iajs-1841	65	25	the	the	DET
iajs-1841	65	26	ridge	ridge	NOUN
iajs-1841	65	27	parameter	parameter	PROPN
iajs-1841	65	28	k.	k.	PROPN
iajs-1841	66	1	when	when	SCONJ
iajs-1841	66	2	viewing	view	VERB
iajs-1841	66	3	the	the	DET
iajs-1841	66	4	ridge	ridge	NOUN
iajs-1841	66	5	trace	trace	NOUN
iajs-1841	66	6	,	,	PUNCT
iajs-1841	66	7	the	the	DET
iajs-1841	66	8	analyst	analyst	NOUN
iajs-1841	66	9	picks	pick	VERB
iajs-1841	66	10	the	the	DET
iajs-1841	66	11	value	value	NOUN
iajs-1841	66	12	of	of	ADP
iajs-1841	66	13	k	k	PROPN
iajs-1841	66	14	for	for	ADP
iajs-1841	66	15	which	which	PRON
iajs-1841	66	16	the	the	DET
iajs-1841	66	17	regression	regression	NOUN
iajs-1841	66	18	coefficients	coefficient	NOUN
iajs-1841	66	19	have	have	AUX
iajs-1841	66	20	stabilized	stabilize	VERB
iajs-1841	66	21	.	.	PUNCT
iajs-1841	67	1	often	often	ADV
iajs-1841	67	2	,	,	PUNCT
iajs-1841	67	3	the	the	DET
iajs-1841	67	4	regression	regression	NOUN
iajs-1841	67	5	coefficients	coefficient	NOUN
iajs-1841	67	6	will	will	AUX
iajs-1841	67	7	vary	vary	VERB
iajs-1841	67	8	widely	widely	ADV
iajs-1841	67	9	for	for	ADP
iajs-1841	67	10	small	small	ADJ
iajs-1841	67	11	values	value	NOUN
iajs-1841	67	12	of	of	ADP
iajs-1841	67	13	k	k	PROPN
iajs-1841	67	14	and	and	CCONJ
iajs-1841	67	15	then	then	ADV
iajs-1841	67	16	stabilize	stabilize	VERB
iajs-1841	67	17	.	.	PUNCT
iajs-1841	68	1	we	we	PRON
iajs-1841	68	2	have	have	VERB
iajs-1841	68	3	to	to	PART
iajs-1841	68	4	select	select	VERB
iajs-1841	68	5	the	the	DET
iajs-1841	68	6	smallest	small	ADJ
iajs-1841	68	7	value	value	NOUN
iajs-1841	68	8	of	of	ADP
iajs-1841	68	9	k	k	PROPN
iajs-1841	68	10	(	(	PUNCT
iajs-1841	68	11	which	which	PRON
iajs-1841	68	12	introduced	introduce	VERB
iajs-1841	68	13	the	the	DET
iajs-1841	68	14	smallest	small	ADJ
iajs-1841	68	15	bias	bias	NOUN
iajs-1841	68	16	)	)	PUNCT
iajs-1841	68	17	after	after	ADP
iajs-1841	68	18	which	which	PRON
iajs-1841	68	19	the	the	DET
iajs-1841	68	20	regression	regression	NOUN
iajs-1841	68	21	coefficients	coefficient	NOUN
iajs-1841	68	22	have	have	AUX
iajs-1841	68	23	seemed	seem	VERB
iajs-1841	68	24	to	to	PART
iajs-1841	68	25	remain	remain	VERB
iajs-1841	68	26	constant	constant	ADJ
iajs-1841	68	27	.	.	PUNCT
iajs-1841	69	1	hoerl	hoerl	PROPN
iajs-1841	69	2	,	,	PUNCT
iajs-1841	69	3	kennard	kennard	NOUN
iajs-1841	69	4	and	and	CCONJ
iajs-1841	69	5	baldwin	baldwin	PROPN
iajs-1841	69	6	in	in	ADP
iajs-1841	69	7	(	(	PUNCT
iajs-1841	69	8	1975	1975	NUM
iajs-1841	69	9	)	)	PUNCT
iajs-1841	69	10	,	,	PUNCT
iajs-1841	69	11	proposed	propose	VERB
iajs-1841	69	12	another	another	DET
iajs-1841	69	13	method	method	NOUN
iajs-1841	69	14	to	to	PART
iajs-1841	69	15	select	select	VERB
iajs-1841	69	16	a	a	DET
iajs-1841	69	17	single	single	ADJ
iajs-1841	69	18	value	value	NOUN
iajs-1841	69	19	of	of	ADP
iajs-1841	69	20	k	k	PROPN
iajs-1841	69	21	given	give	VERB
iajs-1841	69	22	as	as	ADP
iajs-1841	69	23	[	[	X
iajs-1841	69	24	3	3	NUM
iajs-1841	69	25	]	]	SYM
iajs-1841	69	26	2	2	NUM
iajs-1841	69	27	hkb	hkb	NOUN
iajs-1841	69	28	ols	ol	NOUN
iajs-1841	69	29	ols	ol	NOUN
iajs-1841	69	30	ps	ps	PROPN
iajs-1841	69	31	=	=	SYM
iajs-1841	69	32	b	b	PROPN
iajs-1841	69	33	'	'	X
iajs-1841	69	34	b	b	X
iajs-1841	69	35	k	k	X
iajs-1841	69	36			PROPN
iajs-1841	69	37	(	(	PUNCT
iajs-1841	69	38	8)	8)	NUM
iajs-1841	69	39	where	where	SCONJ
iajs-1841	69	40	p	p	NOUN
iajs-1841	69	41	is	be	AUX
iajs-1841	69	42	the	the	DET
iajs-1841	69	43	number	number	NOUN
iajs-1841	69	44	of	of	ADP
iajs-1841	69	45	explanatory	explanatory	ADJ
iajs-1841	69	46	variables	variable	NOUN
iajs-1841	69	47	,	,	PUNCT
iajs-1841	69	48	2s	2s	PROPN
iajs-1841	69	49	is	be	AUX
iajs-1841	69	50	the	the	DET
iajs-1841	69	51	ols	ol	NOUN
iajs-1841	69	52	estimator	estimator	NOUN
iajs-1841	69	53	of	of	ADP
iajs-1841	69	54	2σ	2σ	PROPN
iajs-1841	69	55	and	and	CCONJ
iajs-1841	69	56	olsb	olsb	NOUN
iajs-1841	69	57	is	be	AUX
iajs-1841	69	58	the	the	DET
iajs-1841	69	59	ols	ol	NOUN
iajs-1841	69	60	estimator	estimator	NOUN
iajs-1841	69	61	of	of	ADP
iajs-1841	69	62	the	the	DET
iajs-1841	69	63	vector	vector	NOUN
iajs-1841	69	64	of	of	ADP
iajs-1841	69	65	regression	regression	NOUN
iajs-1841	69	66	coefficients	coefficient	NOUN
iajs-1841	69	67	.	.	ADV
iajs-1841	69	68	lawless	lawless	ADJ
iajs-1841	69	69	and	and	CCONJ
iajs-1841	69	70	wang	wang	PROPN
iajs-1841	69	71	(	(	PUNCT
iajs-1841	69	72	1976	1976	NUM
iajs-1841	69	73	)	)	PUNCT
iajs-1841	69	74	proposed	propose	VERB
iajs-1841	69	75	selecting	select	VERB
iajs-1841	69	76	the	the	DET
iajs-1841	69	77	value	value	NOUN
iajs-1841	69	78	of	of	ADP
iajs-1841	69	79	k	k	X
iajs-1841	69	80	by	by	ADP
iajs-1841	69	81	using	use	VERB
iajs-1841	69	82	the	the	DET
iajs-1841	69	83	formula	formula	NOUN
iajs-1841	70	1	[	[	X
iajs-1841	70	2	4	4	NUM
iajs-1841	70	3	]	]	SYM
iajs-1841	70	4	2	2	NUM
iajs-1841	70	5	ols	ol	NOUN
iajs-1841	70	6	ols	ol	NOUN
iajs-1841	70	7	ps	ps	PROPN
iajs-1841	70	8	=	=	SYM
iajs-1841	70	9	b	b	PROPN
iajs-1841	70	10	'	'	PROPN
iajs-1841	70	11	x'x	x'x	INTJ
iajs-1841	70	12	b	b	NOUN
iajs-1841	70	13	lwk	lwk	NOUN
iajs-1841	70	14			PROPN
iajs-1841	70	15	(	(	PUNCT
iajs-1841	70	16	9	9	NUM
iajs-1841	70	17	)	)	PUNCT
iajs-1841	70	18	assuming	assume	VERB
iajs-1841	70	19	that	that	SCONJ
iajs-1841	70	20	the	the	DET
iajs-1841	70	21	regression	regression	NOUN
iajs-1841	70	22	coefficients	coefficient	NOUN
iajs-1841	70	23	vector	vector	NOUN
iajs-1841	70	24	has	have	VERB
iajs-1841	70	25	certain	certain	ADJ
iajs-1841	70	26	prior	prior	ADJ
iajs-1841	70	27	distribution	distribution	NOUN
iajs-1841	70	28	srivastava	srivastava	PROPN
iajs-1841	70	29	followed	follow	VERB
iajs-1841	70	30	bayesian	bayesian	NOUN
iajs-1841	70	31	approach	approach	NOUN
iajs-1841	70	32	to	to	PART
iajs-1841	70	33	estimate	estimate	VERB
iajs-1841	70	34	the	the	DET
iajs-1841	70	35	ridge	ridge	NOUN
iajs-1841	70	36	parameter	parameter	NOUN
iajs-1841	70	37	.	.	PUNCT
iajs-1841	71	1	he	he	PRON
iajs-1841	71	2	concluded	conclude	VERB
iajs-1841	71	3	that	that	SCONJ
iajs-1841	71	4	[	[	X
iajs-1841	71	5	5	5	NUM
iajs-1841	71	6	]	]	X
iajs-1841	71	7	bayes	bayes	PROPN
iajs-1841	71	8	ols	ols	PROPN
iajs-1841	71	9	ols	ols	PROPN
iajs-1841	71	10	2	2	NUM
iajs-1841	71	11	tr(x'x	tr(x'x	NOUN
iajs-1841	71	12	)	)	PUNCT
iajs-1841	71	13	=	=	SYM
iajs-1841	72	1	max[0	max[0	PROPN
iajs-1841	72	2	,	,	PUNCT
iajs-1841	72	3	b	b	X
iajs-1841	72	4	'	'	PUNCT
iajs-1841	72	5	x'x	x'x	INTJ
iajs-1841	72	6	bn	bn	NOUN
iajs-1841	72	7	p	p	NOUN
iajs-1841	72	8	3	3	NUM
iajs-1841	72	9	[	[	PUNCT
iajs-1841	72	10	(	(	PUNCT
iajs-1841	72	11	)	)	PUNCT
iajs-1841	72	12	p	p	X
iajs-1841	72	13	]	]	X
iajs-1841	72	14	n	n	CCONJ
iajs-1841	72	15	p	p	NOUN
iajs-1841	72	16	1	1	NUM
iajs-1841	72	17	s	s	PART
iajs-1841	72	18	k	k	X
iajs-1841	72	19			PROPN
iajs-1841	72	20			PROPN
iajs-1841	72	21			PROPN
iajs-1841	72	22			PROPN
iajs-1841	72	23			PROPN
iajs-1841	72	24			NOUN
iajs-1841	72	25	(	(	PUNCT
iajs-1841	72	26	10	10	NUM
iajs-1841	72	27	)	)	PUNCT
iajs-1841	72	28	where	where	SCONJ
iajs-1841	72	29	tr	tr	VERB
iajs-1841	72	30	(	(	PUNCT
iajs-1841	72	31	x'x	x'x	PROPN
iajs-1841	72	32	)	)	PUNCT
iajs-1841	72	33	denote	denote	VERB
iajs-1841	72	34	the	the	DET
iajs-1841	72	35	trace	trace	NOUN
iajs-1841	72	36	of	of	ADP
iajs-1841	72	37	the	the	DET
iajs-1841	72	38	matrix	matrix	NOUN
iajs-1841	72	39	x'x	x'x	PROPN
iajs-1841	72	40	.	.	PUNCT
iajs-1841	72	41	hazim	hazim	PROPN
iajs-1841	72	42	mansoor	mansoor	PROPN
iajs-1841	72	43	gorgees	gorgee	NOUN
iajs-1841	72	44	and	and	CCONJ
iajs-1841	72	45	fatimh	fatimh	PROPN
iajs-1841	72	46	assim	assim	PROPN
iajs-1841	72	47	mahdi	mahdi	PROPN
iajs-1841	72	48	(	(	PUNCT
iajs-1841	72	49	2017	2017	NUM
iajs-1841	72	50	)	)	PUNCT
iajs-1841	72	51	proposed	propose	VERB
iajs-1841	72	52	a	a	DET
iajs-1841	72	53	new	new	ADJ
iajs-1841	72	54	method	method	NOUN
iajs-1841	72	55	for	for	ADP
iajs-1841	72	56	selecting	select	VERB
iajs-1841	72	57	the	the	DET
iajs-1841	72	58	ridge	ridge	NOUN
iajs-1841	72	59	parameter	parameter	NOUN
iajs-1841	72	60	by	by	ADP
iajs-1841	72	61	employing	employ	VERB
iajs-1841	72	62	the	the	DET
iajs-1841	72	63	concept	concept	NOUN
iajs-1841	72	64	of	of	ADP
iajs-1841	72	65	condition	condition	NOUN
iajs-1841	72	66	number	number	NOUN
iajs-1841	72	67	[	[	X
iajs-1841	72	68	6	6	NUM
iajs-1841	72	69	]	]	PUNCT
iajs-1841	72	70	.	.	PUNCT
iajs-1841	73	1	the	the	DET
iajs-1841	73	2	suggested	suggest	VERB
iajs-1841	73	3	estimator	estimator	NOUN
iajs-1841	73	4	denoted	denote	VERB
iajs-1841	73	5	as	as	ADP
iajs-1841	73	6	^	^	SYM
iajs-1841	73	7	cnk	cnk	PROPN
iajs-1841	73	8	is	be	AUX
iajs-1841	73	9	defined	define	VERB
iajs-1841	73	10	as	as	ADP
iajs-1841	73	11	2^	2^	NUM
iajs-1841	73	12	1	1	NUM
iajs-1841	73	13	[	[	PUNCT
iajs-1841	73	14	0	0	NUM
iajs-1841	73	15	,	,	PUNCT
iajs-1841	73	16	]	]	PUNCT
iajs-1841	73	17	'	'	PUNCT
iajs-1841	73	18	cn	cn	PROPN
iajs-1841	73	19	ols	ols	PROPN
iajs-1841	73	20	ols	ols	PROPN
iajs-1841	73	21	s	s	PART
iajs-1841	74	1	k	k	PROPN
iajs-1841	74	2	max	max	PROPN
iajs-1841	74	3	b	b	PROPN
iajs-1841	74	4	b	b	X
iajs-1841	74	5	cn	cn	PROPN
iajs-1841	74	6			ADP
iajs-1841	74	7			NUM
iajs-1841	74	8			NOUN
iajs-1841	74	9	(	(	PUNCT
iajs-1841	74	10	11	11	NUM
iajs-1841	74	11	)	)	PUNCT
iajs-1841	74	12	where	where	SCONJ
iajs-1841	74	13	cn	cn	PROPN
iajs-1841	74	14	reffered	reffere	VERB
iajs-1841	74	15	to	to	ADP
iajs-1841	74	16	the	the	DET
iajs-1841	74	17	condition	condition	NOUN
iajs-1841	74	18	number	number	NOUN
iajs-1841	74	19	which	which	PRON
iajs-1841	74	20	is	be	AUX
iajs-1841	74	21	the	the	DET
iajs-1841	74	22	ratio	ratio	NOUN
iajs-1841	74	23	of	of	ADP
iajs-1841	74	24	the	the	DET
iajs-1841	74	25	largest	large	ADJ
iajs-1841	74	26	to	to	ADP
iajs-1841	74	27	the	the	DET
iajs-1841	74	28	smallest	small	ADJ
iajs-1841	74	29	singular	singular	ADJ
iajs-1841	74	30	value	value	NOUN
iajs-1841	74	31	of	of	ADP
iajs-1841	74	32	the	the	DET
iajs-1841	74	33	matrix	matrix	NOUN
iajs-1841	74	34	of	of	ADP
iajs-1841	74	35	explanatory	explanatory	ADJ
iajs-1841	74	36	variables	variable	NOUN
iajs-1841	74	37	x.	x.	PROPN
iajs-1841	74	38	principal	principal	PROPN
iajs-1841	74	39	components	component	NOUN
iajs-1841	74	40	regression	regression	PROPN
iajs-1841	74	41	ridge	ridge	PROPN
iajs-1841	74	42	regression	regression	NOUN
iajs-1841	74	43	was	be	AUX
iajs-1841	74	44	offered	offer	VERB
iajs-1841	74	45	as	as	ADP
iajs-1841	74	46	a	a	DET
iajs-1841	74	47	technique	technique	NOUN
iajs-1841	74	48	which	which	PRON
iajs-1841	74	49	attempted	attempt	VERB
iajs-1841	74	50	to	to	PART
iajs-1841	74	51	overcome	overcome	VERB
iajs-1841	74	52	the	the	DET
iajs-1841	74	53	multicollinearity	multicollinearity	NOUN
iajs-1841	74	54	problem	problem	NOUN
iajs-1841	74	55	.	.	PUNCT
iajs-1841	75	1	an	an	DET
iajs-1841	75	2	alternative	alternative	ADJ
iajs-1841	75	3	procedure	procedure	NOUN
iajs-1841	75	4	known	know	VERB
iajs-1841	75	5	as	as	ADP
iajs-1841	75	6	principal	principal	ADJ
iajs-1841	75	7	components	component	NOUN
iajs-1841	75	8	approach	approach	NOUN
iajs-1841	75	9	,	,	PUNCT
iajs-1841	75	10	was	be	AUX
iajs-1841	75	11	first	first	ADV
iajs-1841	75	12	proposed	propose	VERB
iajs-1841	75	13	by	by	ADP
iajs-1841	75	14	harold	harold	PROPN
iajs-1841	75	15	hoteling	hoteling	PROPN
iajs-1841	75	16	(	(	PUNCT
iajs-1841	75	17	1933	1933	NUM
iajs-1841	75	18	)	)	PUNCT
iajs-1841	75	19	.	.	PUNCT
iajs-1841	76	1	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	ADV
iajs-1841	76	2	mathematics	mathematic	NOUN
iajs-1841	76	3	|	|	ADV
iajs-1841	76	4	216	216	NUM
iajs-1841	76	5	2018	2018	NUM
iajs-1841	76	6	)	)	PUNCT
iajs-1841	76	7	عام	عام	ADP
iajs-1841	76	8	1(العدد	1(العدد	NUM
iajs-1841	76	9	)	)	PUNCT
iajs-1841	76	10	31(لمجلد	31(لمجلد	NUM
iajs-1841	76	11	ا	ا	X
iajs-1841	76	12	مجلة	مجلة	PROPN
iajs-1841	76	13	إبن	إبن	VERB
iajs-1841	76	14	الهيثم	الهيثم	ADJ
iajs-1841	76	15	للعلوم	للعلوم	NOUN
iajs-1841	76	16	الصرفة	الصرفة	NOUN
iajs-1841	77	1	و	و	PRON
iajs-1841	77	2	التطبيقية	التطبيقية	ADJ
iajs-1841	77	3	ibn	ibn	PROPN
iajs-1841	77	4	al	al	PROPN
iajs-1841	77	5	-	-	PUNCT
iajs-1841	77	6	haitham	haitham	PROPN
iajs-1841	77	7	j.	j.	PROPN
iajs-1841	77	8	for	for	ADP
iajs-1841	77	9	pure	pure	PROPN
iajs-1841	77	10	&	&	CCONJ
iajs-1841	77	11	appl	appl	PROPN
iajs-1841	77	12	.	.	PUNCT
iajs-1841	78	1	sci	sci	PROPN
iajs-1841	78	2	.	.	PUNCT
iajs-1841	79	1	vol.31	vol.31	PROPN
iajs-1841	79	2	(	(	PUNCT
iajs-1841	79	3	1	1	NUM
iajs-1841	79	4	)	)	PUNCT
iajs-1841	79	5	2018	2018	NUM
iajs-1841	79	6	in	in	ADP
iajs-1841	79	7	order	order	NOUN
iajs-1841	79	8	to	to	PART
iajs-1841	79	9	obtain	obtain	VERB
iajs-1841	79	10	a	a	DET
iajs-1841	79	11	good	good	ADJ
iajs-1841	79	12	realization	realization	NOUN
iajs-1841	79	13	of	of	ADP
iajs-1841	79	14	this	this	DET
iajs-1841	79	15	approach	approach	NOUN
iajs-1841	79	16	let	let	VERB
iajs-1841	79	17	us	we	PRON
iajs-1841	79	18	proceed	proceed	VERB
iajs-1841	79	19	our	our	PRON
iajs-1841	79	20	discussion	discussion	NOUN
iajs-1841	79	21	with	with	ADP
iajs-1841	79	22	the	the	DET
iajs-1841	79	23	case	case	NOUN
iajs-1841	79	24	of	of	ADP
iajs-1841	79	25	two	two	NUM
iajs-1841	79	26	predictors	predictor	NOUN
iajs-1841	79	27	.if	.if	PUNCT
iajs-1841	80	1	these	these	DET
iajs-1841	80	2	predictors	predictor	NOUN
iajs-1841	80	3	are	be	AUX
iajs-1841	80	4	correlated	correlate	VERB
iajs-1841	80	5	then	then	ADV
iajs-1841	80	6	the	the	DET
iajs-1841	80	7	matrix	matrix	NOUN
iajs-1841	80	8	x	x	PUNCT
iajs-1841	80	9	will	will	AUX
iajs-1841	80	10	not	not	PART
iajs-1841	80	11	be	be	AUX
iajs-1841	80	12	orthogonal	orthogonal	ADJ
iajs-1841	80	13	consequently	consequently	ADV
iajs-1841	80	14	,	,	PUNCT
iajs-1841	80	15	this	this	PRON
iajs-1841	80	16	will	will	AUX
iajs-1841	80	17	complicate	complicate	VERB
iajs-1841	80	18	the	the	DET
iajs-1841	80	19	interpretation	interpretation	NOUN
iajs-1841	80	20	of	of	ADP
iajs-1841	80	21	the	the	DET
iajs-1841	80	22	effects	effect	NOUN
iajs-1841	80	23	of	of	ADP
iajs-1841	80	24	and	and	CCONJ
iajs-1841	80	25	on	on	ADP
iajs-1841	80	26	the	the	DET
iajs-1841	80	27	response	response	NOUN
iajs-1841	80	28	variable	variable	ADJ
iajs-1841	80	29	y.	y.	NOUN
iajs-1841	80	30	from	from	ADP
iajs-1841	80	31	the	the	DET
iajs-1841	80	32	geometric	geometric	ADJ
iajs-1841	80	33	point	point	NOUN
iajs-1841	80	34	of	of	ADP
iajs-1841	80	35	view	view	NOUN
iajs-1841	80	36	,	,	PUNCT
iajs-1841	80	37	suppose	suppose	VERB
iajs-1841	80	38	we	we	PRON
iajs-1841	80	39	rotate	rotate	VERB
iajs-1841	80	40	the	the	DET
iajs-1841	80	41	coordinate	coordinate	NOUN
iajs-1841	80	42	axis	axis	NOUN
iajs-1841	80	43	so	so	SCONJ
iajs-1841	80	44	that	that	SCONJ
iajs-1841	80	45	in	in	ADP
iajs-1841	80	46	the	the	DET
iajs-1841	80	47	new	new	ADJ
iajs-1841	80	48	system	system	NOUN
iajs-1841	80	49	,	,	PUNCT
iajs-1841	80	50	the	the	DET
iajs-1841	80	51	predictors	predictor	NOUN
iajs-1841	80	52	are	be	AUX
iajs-1841	80	53	orthogonal	orthogonal	ADJ
iajs-1841	80	54	.	.	PUNCT
iajs-1841	81	1	moreover	moreover	ADV
iajs-1841	81	2	,	,	PUNCT
iajs-1841	81	3	let	let	VERB
iajs-1841	81	4	us	we	PRON
iajs-1841	81	5	make	make	VERB
iajs-1841	81	6	the	the	DET
iajs-1841	81	7	rotation	rotation	NOUN
iajs-1841	81	8	so	so	SCONJ
iajs-1841	81	9	that	that	SCONJ
iajs-1841	81	10	the	the	DET
iajs-1841	81	11	first	first	ADJ
iajs-1841	81	12	axis	axis	NOUN
iajs-1841	81	13	lies	lie	VERB
iajs-1841	81	14	in	in	ADP
iajs-1841	81	15	the	the	DET
iajs-1841	81	16	direction	direction	NOUN
iajs-1841	81	17	of	of	ADP
iajs-1841	81	18	the	the	DET
iajs-1841	81	19	greatest	great	ADJ
iajs-1841	81	20	variation	variation	NOUN
iajs-1841	81	21	in	in	ADP
iajs-1841	81	22	the	the	DET
iajs-1841	81	23	data	datum	NOUN
iajs-1841	81	24	,	,	PUNCT
iajs-1841	81	25	the	the	DET
iajs-1841	81	26	second	second	ADJ
iajs-1841	81	27	axis	axis	NOUN
iajs-1841	81	28	lies	lie	VERB
iajs-1841	81	29	in	in	ADP
iajs-1841	81	30	the	the	DET
iajs-1841	81	31	direction	direction	NOUN
iajs-1841	81	32	of	of	ADP
iajs-1841	81	33	the	the	DET
iajs-1841	81	34	second	second	ADJ
iajs-1841	81	35	greatest	great	ADJ
iajs-1841	81	36	variation	variation	NOUN
iajs-1841	81	37	in	in	ADP
iajs-1841	81	38	the	the	DET
iajs-1841	81	39	data	datum	NOUN
iajs-1841	81	40	.	.	PUNCT
iajs-1841	82	1	these	these	DET
iajs-1841	82	2	rotated	rotate	VERB
iajs-1841	82	3	directions	direction	NOUN
iajs-1841	82	4	(	(	PUNCT
iajs-1841	82	5	and	and	CCONJ
iajs-1841	82	6	say	say	VERB
iajs-1841	82	7	in	in	ADP
iajs-1841	82	8	our	our	PRON
iajs-1841	82	9	two	two	NUM
iajs-1841	82	10	predictors	predictor	NOUN
iajs-1841	82	11	'	'	PART
iajs-1841	82	12	case	case	NOUN
iajs-1841	82	13	)	)	PUNCT
iajs-1841	82	14	are	be	AUX
iajs-1841	82	15	simply	simply	ADV
iajs-1841	82	16	linear	linear	ADJ
iajs-1841	82	17	combinations	combination	NOUN
iajs-1841	82	18	of	of	ADP
iajs-1841	82	19	the	the	DET
iajs-1841	82	20	original	original	ADJ
iajs-1841	82	21	predictors	predictor	NOUN
iajs-1841	82	22	.	.	PUNCT
iajs-1841	83	1	we	we	PRON
iajs-1841	83	2	now	now	ADV
iajs-1841	83	3	illustrate	illustrate	VERB
iajs-1841	83	4	how	how	SCONJ
iajs-1841	83	5	these	these	DET
iajs-1841	83	6	directions	direction	NOUN
iajs-1841	83	7	can	can	AUX
iajs-1841	83	8	be	be	AUX
iajs-1841	83	9	calculated	calculate	VERB
iajs-1841	83	10	.	.	PUNCT
iajs-1841	84	1	using	use	VERB
iajs-1841	84	2	singular	singular	ADJ
iajs-1841	84	3	value	value	NOUN
iajs-1841	84	4	decomposition	decomposition	NOUN
iajs-1841	84	5	then	then	ADV
iajs-1841	84	6	x	x	SYM
iajs-1841	84	7	=	=	SYM
iajs-1841	84	8	h	h	NOUN
iajs-1841	84	9	1	1	NUM
iajs-1841	84	10	2	2	NOUN
iajs-1841	84	11	g	g	NOUN
iajs-1841	84	12	'	'	PUNCT
iajs-1841	84	13	where	where	SCONJ
iajs-1841	84	14	each	each	PRON
iajs-1841	84	15	of	of	ADP
iajs-1841	84	16	h	h	NOUN
iajs-1841	84	17	,	,	PUNCT
iajs-1841	84	18			NOUN
iajs-1841	84	19	,	,	PUNCT
iajs-1841	84	20	g	g	PROPN
iajs-1841	84	21	is	be	AUX
iajs-1841	84	22	defined	define	VERB
iajs-1841	84	23	earlier	early	ADV
iajs-1841	84	24	x'x	x'x	ADV
iajs-1841	84	25	=	=	SYM
iajs-1841	84	26	g	g	PROPN
iajs-1841	84	27	1	1	NUM
iajs-1841	84	28	2	2	NOUN
iajs-1841	84	29	h'h	h'h	ADJ
iajs-1841	84	30	1	1	NUM
iajs-1841	84	31	2	2	NOUN
iajs-1841	84	32	g	g	NOUN
iajs-1841	84	33	'	'	PUNCT
iajs-1841	84	34	=	=	NOUN
iajs-1841	84	35	g	g	PROPN
iajs-1841	84	36	g	g	NOUN
iajs-1841	84	37	'	'	PUNCT
iajs-1841	84	38	since	since	SCONJ
iajs-1841	84	39	g	g	PROPN
iajs-1841	84	40	is	be	AUX
iajs-1841	84	41	orthogonal	orthogonal	ADJ
iajs-1841	84	42	matrix	matrix	NOUN
iajs-1841	84	43	then	then	ADV
iajs-1841	84	44	the	the	DET
iajs-1841	84	45	general	general	ADJ
iajs-1841	84	46	linear	linear	PROPN
iajs-1841	84	47	regression	regression	NOUN
iajs-1841	84	48	model	model	NOUN
iajs-1841	84	49	y	y	PROPN
iajs-1841	84	50	=	=	PRON
iajs-1841	84	51	xβ	xβ	PROPN
iajs-1841	85	1	+	+	CCONJ
iajs-1841	85	2			PROPN
iajs-1841	85	3	can	can	AUX
iajs-1841	85	4	be	be	AUX
iajs-1841	85	5	rewritten	rewrite	VERB
iajs-1841	85	6	as	as	ADP
iajs-1841	85	7	y	y	PROPN
iajs-1841	85	8	=	=	PROPN
iajs-1841	85	9	x	x	SYM
iajs-1841	85	10	gg	gg	PROPN
iajs-1841	85	11	'	'	PART
iajs-1841	85	12	β	β	NOUN
iajs-1841	85	13	+	+	CCONJ
iajs-1841	85	14			NOUN
iajs-1841	85	15	=	=	PUNCT
iajs-1841	85	16	z	z	PROPN
iajs-1841	85	17	+	+	CCONJ
iajs-1841	85	18			PROPN
iajs-1841	85	19	(	(	PUNCT
iajs-1841	85	20	12	12	NUM
iajs-1841	85	21	)	)	PUNCT
iajs-1841	85	22	where	where	SCONJ
iajs-1841	85	23	z=	z=	PROPN
iajs-1841	85	24	xg	xg	PROPN
iajs-1841	85	25	and	and	CCONJ
iajs-1841	85	26			NOUN
iajs-1841	85	27	=	=	SYM
iajs-1841	85	28	g'β	g'β	VERB
iajs-1841	85	29	hence	hence	ADV
iajs-1841	85	30	:	:	PUNCT
iajs-1841	85	31	z'z	z'z	VERB
iajs-1841	85	32	=	=	PUNCT
iajs-1841	85	33	g'x'xg	g'x'xg	PROPN
iajs-1841	85	34	=	=	PUNCT
iajs-1841	85	35	g	g	NOUN
iajs-1841	85	36	'	'	PUNCT
iajs-1841	85	37	(	(	PUNCT
iajs-1841	85	38	g	g	NOUN
iajs-1841	85	39			NOUN
iajs-1841	85	40	g	g	NOUN
iajs-1841	85	41	'	'	PUNCT
iajs-1841	85	42	)	)	PUNCT
iajs-1841	85	43	g	g	NOUN
iajs-1841	85	44	=	=	SYM
iajs-1841	85	45			NOUN
iajs-1841	85	46	=	=	SYM
iajs-1841	85	47	diag	diag	NOUN
iajs-1841	85	48	(	(	PUNCT
iajs-1841	85	49	,	,	PUNCT
iajs-1841	85	50	,	,	PUNCT
iajs-1841	85	51	…	…	PUNCT
iajs-1841	85	52	,	,	PUNCT
iajs-1841	85	53	where	where	SCONJ
iajs-1841	85	54	⋯	⋯	PROPN
iajs-1841	85	55			PROPN
iajs-1841	85	56	0	0	NUM
iajs-1841	85	57	are	be	AUX
iajs-1841	85	58	the	the	DET
iajs-1841	85	59	eigenvalues	eigenvalue	NOUN
iajs-1841	85	60	of	of	ADP
iajs-1841	85	61	x'x	x'x	PROPN
iajs-1841	85	62	.	.	PUNCT
iajs-1841	86	1	the	the	DET
iajs-1841	86	2	columns	column	NOUN
iajs-1841	86	3	of	of	ADP
iajs-1841	86	4	g	g	PROPN
iajs-1841	86	5	are	be	AUX
iajs-1841	86	6	the	the	DET
iajs-1841	86	7	eigenvectors	eigenvector	NOUN
iajs-1841	86	8	of	of	ADP
iajs-1841	86	9	x'x	x'x	PROPN
iajs-1841	86	10	and	and	CCONJ
iajs-1841	86	11	the	the	DET
iajs-1841	86	12	columns	column	NOUN
iajs-1841	86	13	of	of	ADP
iajs-1841	86	14	z	z	PROPN
iajs-1841	86	15	are	be	AUX
iajs-1841	86	16	the	the	DET
iajs-1841	86	17	principal	principal	ADJ
iajs-1841	86	18	components	component	NOUN
iajs-1841	86	19	of	of	ADP
iajs-1841	86	20	x	x	PUNCT
iajs-1841	86	21	and	and	CCONJ
iajs-1841	86	22	these	these	PRON
iajs-1841	86	23	are	be	AUX
iajs-1841	86	24	orthogonal	orthogonal	ADJ
iajs-1841	86	25	to	to	ADP
iajs-1841	86	26	each	each	DET
iajs-1841	86	27	other	other	ADJ
iajs-1841	86	28	.	.	PUNCT
iajs-1841	87	1	thus	thus	ADV
iajs-1841	87	2	,	,	PUNCT
iajs-1841	87	3	the	the	DET
iajs-1841	87	4	procedure	procedure	NOUN
iajs-1841	87	5	creates	create	VERB
iajs-1841	87	6	a	a	DET
iajs-1841	87	7	set	set	NOUN
iajs-1841	87	8	of	of	ADP
iajs-1841	87	9	artificial	artificial	ADJ
iajs-1841	87	10	variables	variable	NOUN
iajs-1841	87	11	's	's	PART
iajs-1841	87	12	jz	jz	NOUN
iajs-1841	87	13	from	from	ADP
iajs-1841	87	14	the	the	DET
iajs-1841	87	15	original	original	ADJ
iajs-1841	87	16	'	'	PUNCT
iajs-1841	87	17	s	s	NOUN
iajs-1841	87	18	jx	jx	NOUN
iajs-1841	87	19	via	via	ADP
iajs-1841	87	20	a	a	DET
iajs-1841	87	21	linear	linear	ADJ
iajs-1841	87	22	transformation	transformation	NOUN
iajs-1841	87	23	z	z	PROPN
iajs-1841	87	24	=	=	SYM
iajs-1841	87	25	xg	xg	PROPN
iajs-1841	87	26	in	in	ADP
iajs-1841	87	27	such	such	DET
iajs-1841	87	28	a	a	DET
iajs-1841	87	29	way	way	NOUN
iajs-1841	87	30	that	that	PRON
iajs-1841	87	31	the	the	DET
iajs-1841	87	32	z	z	NOUN
iajs-1841	87	33	vectors	vector	NOUN
iajs-1841	87	34	are	be	AUX
iajs-1841	87	35	orthogonal	orthogonal	ADJ
iajs-1841	87	36	to	to	ADP
iajs-1841	87	37	each	each	DET
iajs-1841	87	38	other	other	ADJ
iajs-1841	87	39	.	.	PUNCT
iajs-1841	88	1	the	the	DET
iajs-1841	88	2	corresponding	corresponding	NOUN
iajs-1841	88	3	to	to	ADP
iajs-1841	88	4	the	the	DET
iajs-1841	88	5	largest	large	ADJ
iajs-1841	88	6	value	value	NOUN
iajs-1841	88	7	is	be	AUX
iajs-1841	88	8	called	call	VERB
iajs-1841	88	9	the	the	DET
iajs-1841	88	10	principal	principal	ADJ
iajs-1841	88	11	component	component	NOUN
iajs-1841	88	12	and	and	CCONJ
iajs-1841	88	13	it	it	PRON
iajs-1841	88	14	explains	explain	VERB
iajs-1841	88	15	the	the	DET
iajs-1841	88	16	largest	large	ADJ
iajs-1841	88	17	proportion	proportion	NOUN
iajs-1841	88	18	of	of	ADP
iajs-1841	88	19	the	the	DET
iajs-1841	88	20	variation	variation	NOUN
iajs-1841	88	21	in	in	ADP
iajs-1841	88	22	the	the	DET
iajs-1841	88	23	standardized	standardized	ADJ
iajs-1841	88	24	dataset	dataset	NOUN
iajs-1841	88	25	.	.	PUNCT
iajs-1841	89	1	further	far	ADV
iajs-1841	89	2	,	,	PUNCT
iajs-1841	89	3	's	's	PART
iajs-1841	89	4	jz	jz	PROPN
iajs-1841	89	5	explain	explain	VERB
iajs-1841	89	6	smaller	small	ADJ
iajs-1841	89	7	and	and	CCONJ
iajs-1841	89	8	smaller	small	ADJ
iajs-1841	89	9	until	until	SCONJ
iajs-1841	89	10	all	all	DET
iajs-1841	89	11	variation	variation	NOUN
iajs-1841	89	12	is	be	AUX
iajs-1841	89	13	explained	explain	VERB
iajs-1841	89	14	.	.	PUNCT
iajs-1841	90	1	typically	typically	ADV
iajs-1841	90	2	,	,	PUNCT
iajs-1841	90	3	one	one	PRON
iajs-1841	90	4	does	do	AUX
iajs-1841	90	5	not	not	PART
iajs-1841	90	6	use	use	VERB
iajs-1841	90	7	all	all	DET
iajs-1841	90	8	the	the	DET
iajs-1841	90	9	's	's	PART
iajs-1841	90	10	jz	jz	PROPN
iajs-1841	90	11	but	but	CCONJ
iajs-1841	90	12	follows	follow	VERB
iajs-1841	90	13	some	some	DET
iajs-1841	90	14	type	type	NOUN
iajs-1841	90	15	of	of	ADP
iajs-1841	90	16	selection	selection	NOUN
iajs-1841	90	17	rule	rule	NOUN
iajs-1841	90	18	.	.	PUNCT
iajs-1841	91	1	no	no	DET
iajs-1841	91	2	universal	universal	ADJ
iajs-1841	91	3	rule	rule	NOUN
iajs-1841	91	4	is	be	AUX
iajs-1841	91	5	presented	present	VERB
iajs-1841	91	6	for	for	ADP
iajs-1841	91	7	selecting	select	VERB
iajs-1841	91	8	the	the	DET
iajs-1841	91	9	components	component	NOUN
iajs-1841	91	10	.	.	PUNCT
iajs-1841	92	1	some	some	DET
iajs-1841	92	2	statisticians	statistician	NOUN
iajs-1841	92	3	use	use	VERB
iajs-1841	92	4	the	the	DET
iajs-1841	92	5	rule	rule	NOUN
iajs-1841	92	6	that	that	PRON
iajs-1841	92	7	only	only	ADV
iajs-1841	92	8	eigenvalues	eigenvalue	VERB
iajs-1841	92	9	greater	great	ADJ
iajs-1841	92	10	than	than	ADP
iajs-1841	92	11	1	1	NUM
iajs-1841	92	12	are	be	AUX
iajs-1841	92	13	of	of	ADP
iajs-1841	92	14	interest	interest	NOUN
iajs-1841	92	15	.	.	PUNCT
iajs-1841	93	1	other	other	ADJ
iajs-1841	93	2	statisticians	statistician	NOUN
iajs-1841	93	3	suggested	suggest	VERB
iajs-1841	93	4	that	that	SCONJ
iajs-1841	93	5	the	the	DET
iajs-1841	93	6	components	component	NOUN
iajs-1841	93	7	might	might	AUX
iajs-1841	93	8	be	be	AUX
iajs-1841	93	9	computed	compute	VERB
iajs-1841	93	10	until	until	SCONJ
iajs-1841	93	11	some	some	DET
iajs-1841	93	12	arbitrarily	arbitrarily	ADV
iajs-1841	93	13	large	large	ADJ
iajs-1841	93	14	proportion	proportion	NOUN
iajs-1841	93	15	(	(	PUNCT
iajs-1841	93	16	maybe	maybe	ADV
iajs-1841	93	17	0.75	0.75	NUM
iajs-1841	93	18	or	or	CCONJ
iajs-1841	93	19	more	more	ADJ
iajs-1841	93	20	)	)	PUNCT
iajs-1841	93	21	of	of	ADP
iajs-1841	93	22	the	the	DET
iajs-1841	93	23	variances	variance	NOUN
iajs-1841	93	24	has	have	AUX
iajs-1841	93	25	been	be	AUX
iajs-1841	93	26	explained	explain	VERB
iajs-1841	93	27	the	the	DET
iajs-1841	93	28	ols	ol	NOUN
iajs-1841	93	29	estimator	estimator	NOUN
iajs-1841	93	30	of	of	ADP
iajs-1841	93	31			NOUN
iajs-1841	93	32	is	be	AUX
iajs-1841	93	33	given	give	VERB
iajs-1841	93	34	as	as	ADP
iajs-1841	93	35	:	:	PUNCT
iajs-1841	93	36	^	^	SYM
iajs-1841	93	37	1	1	NUM
iajs-1841	93	38	1	1	NUM
iajs-1841	93	39	(	(	PUNCT
iajs-1841	93	40	'	'	PUNCT
iajs-1841	93	41	)	)	PUNCT
iajs-1841	93	42	'	'	PUNCT
iajs-1841	93	43	'	'	PUNCT
iajs-1841	93	44	'	'	PUNCT
iajs-1841	93	45	z	z	NOUN
iajs-1841	93	46	z	z	NOUN
iajs-1841	93	47	z	z	NOUN
iajs-1841	93	48	y	y	NOUN
iajs-1841	93	49	g	g	NOUN
iajs-1841	93	50	x	x	PUNCT
iajs-1841	93	51	y	y	PROPN
iajs-1841	93	52			PROPN
iajs-1841	93	53			ADJ
iajs-1841	93	54			NOUN
iajs-1841	93	55	(	(	PUNCT
iajs-1841	93	56	13	13	NUM
iajs-1841	93	57	)	)	PUNCT
iajs-1841	93	58	assuming	assume	VERB
iajs-1841	93	59	that	that	SCONJ
iajs-1841	93	60	the	the	DET
iajs-1841	93	61	first	first	ADJ
iajs-1841	93	62	q	q	X
iajs-1841	93	63	(	(	PUNCT
iajs-1841	93	64	q	q	NOUN
iajs-1841	93	65	p	p	NOUN
iajs-1841	93	66	)	)	PUNCT
iajs-1841	93	67	principal	principal	ADJ
iajs-1841	93	68	components	component	NOUN
iajs-1841	93	69	are	be	AUX
iajs-1841	93	70	selected	select	VERB
iajs-1841	93	71	,	,	PUNCT
iajs-1841	93	72	then	then	ADV
iajs-1841	93	73	the	the	DET
iajs-1841	93	74	reduced	reduce	VERB
iajs-1841	93	75	estimator	estimator	NOUN
iajs-1841	93	76	can	can	AUX
iajs-1841	93	77	be	be	AUX
iajs-1841	93	78	written	write	VERB
iajs-1841	93	79	as	as	ADP
iajs-1841	93	80	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	ADP
iajs-1841	93	81	mathematics	mathematic	NOUN
iajs-1841	93	82	|	|	ADV
iajs-1841	93	83	217	217	NUM
iajs-1841	93	84	2018	2018	NUM
iajs-1841	93	85	)	)	PUNCT
iajs-1841	93	86	عام	عام	ADP
iajs-1841	93	87	1(العدد	1(العدد	NUM
iajs-1841	93	88	)	)	PUNCT
iajs-1841	93	89	31(لمجلد	31(لمجلد	NUM
iajs-1841	93	90	ا	ا	X
iajs-1841	93	91	مجلة	مجلة	PROPN
iajs-1841	93	92	إبن	إبن	VERB
iajs-1841	93	93	الهيثم	الهيثم	ADJ
iajs-1841	93	94	للعلوم	للعلوم	NOUN
iajs-1841	93	95	الصرفة	الصرفة	NOUN
iajs-1841	93	96	و	و	PRON
iajs-1841	93	97	التطبيقية	التطبيقية	ADJ
iajs-1841	93	98	ibn	ibn	PROPN
iajs-1841	93	99	al	al	PROPN
iajs-1841	93	100	-	-	PUNCT
iajs-1841	93	101	haitham	haitham	PROPN
iajs-1841	93	102	j.	j.	PROPN
iajs-1841	93	103	for	for	ADP
iajs-1841	93	104	pure	pure	PROPN
iajs-1841	93	105	&	&	CCONJ
iajs-1841	93	106	appl	appl	PROPN
iajs-1841	93	107	.	.	PUNCT
iajs-1841	94	1	sci	sci	PROPN
iajs-1841	94	2	.	.	PUNCT
iajs-1841	95	1	vol.31	vol.31	PROPN
iajs-1841	95	2	(	(	PUNCT
iajs-1841	95	3	1	1	NUM
iajs-1841	95	4	)	)	PUNCT
iajs-1841	95	5	2018	2018	NUM
iajs-1841	95	6	^	^	SYM
iajs-1841	95	7	1	1	NUM
iajs-1841	95	8	1	1	NUM
iajs-1841	95	9	(	(	PUNCT
iajs-1841	95	10	'	'	PUNCT
iajs-1841	95	11	)	)	PUNCT
iajs-1841	95	12	'	'	PUNCT
iajs-1841	95	13	'	'	PUNCT
iajs-1841	95	14	'	'	PUNCT
iajs-1841	95	15	q	q	X
iajs-1841	95	16	q	q	X
iajs-1841	95	17	q	q	X
iajs-1841	95	18	q	q	X
iajs-1841	95	19	q	q	PROPN
iajs-1841	95	20	qz	qz	PROPN
iajs-1841	95	21	z	z	PROPN
iajs-1841	95	22	z	z	PROPN
iajs-1841	96	1	y	y	PROPN
iajs-1841	96	2	g	g	PROPN
iajs-1841	96	3	x	x	PUNCT
iajs-1841	96	4	y	y	PROPN
iajs-1841	96	5			PROPN
iajs-1841	96	6			ADJ
iajs-1841	96	7			PROPN
iajs-1841	96	8			NOUN
iajs-1841	96	9	(	(	PUNCT
iajs-1841	96	10	14	14	NUM
iajs-1841	96	11	)	)	PUNCT
iajs-1841	96	12	where	where	SCONJ
iajs-1841	96	13	qz	qz	NOUN
iajs-1841	96	14	=	=	PROPN
iajs-1841	96	15	x	x	PROPN
iajs-1841	96	16	qg	qg	PROPN
iajs-1841	96	17	,	,	PUNCT
iajs-1841	96	18	qg	qg	PROPN
iajs-1841	96	19	denote	denote	VERB
iajs-1841	96	20	as	as	ADP
iajs-1841	96	21	the	the	DET
iajs-1841	96	22	first	first	ADJ
iajs-1841	96	23	q	q	ADJ
iajs-1841	96	24	eigenvectors	eigenvector	NOUN
iajs-1841	96	25	of	of	ADP
iajs-1841	96	26	x'x	x'x	PRON
iajs-1841	96	27	matrix	matrix	NOUN
iajs-1841	96	28	and	and	CCONJ
iajs-1841	96	29	q	q	NOUN
iajs-1841	96	30	is	be	AUX
iajs-1841	96	31	the	the	DET
iajs-1841	96	32	diagonal	diagonal	ADJ
iajs-1841	96	33	matrix	matrix	NOUN
iajs-1841	96	34	contains	contain	VERB
iajs-1841	96	35	the	the	DET
iajs-1841	96	36	first	first	ADJ
iajs-1841	96	37	q	q	NOUN
iajs-1841	96	38	eigenvalues	eigenvalue	NOUN
iajs-1841	96	39	of	of	ADP
iajs-1841	96	40	x'x	x'x	PROPN
iajs-1841	96	41	.	.	PUNCT
iajs-1841	97	1	to	to	PART
iajs-1841	97	2	find	find	VERB
iajs-1841	97	3	the	the	DET
iajs-1841	97	4	principal	principal	ADJ
iajs-1841	97	5	component	component	NOUN
iajs-1841	97	6	estimator	estimator	NOUN
iajs-1841	97	7	of	of	ADP
iajs-1841	97	8	the	the	DET
iajs-1841	97	9	regression	regression	NOUN
iajs-1841	97	10	coefficients	coefficient	NOUN
iajs-1841	97	11	in	in	ADP
iajs-1841	97	12	terms	term	NOUN
iajs-1841	97	13	of	of	ADP
iajs-1841	97	14	the	the	DET
iajs-1841	97	15	original	original	ADJ
iajs-1841	97	16	variables	variable	NOUN
iajs-1841	97	17	we	we	PRON
iajs-1841	97	18	can	can	AUX
iajs-1841	97	19	solve	solve	VERB
iajs-1841	97	20			NOUN
iajs-1841	97	21	=	=	SYM
iajs-1841	97	22	g'β	g'β	VERB
iajs-1841	97	23	for	for	SCONJ
iajs-1841	97	24	β	β	NOUN
iajs-1841	97	25	to	to	PART
iajs-1841	97	26	get	get	VERB
iajs-1841	97	27	β	β	NOUN
iajs-1841	97	28	=	=	NOUN
iajs-1841	97	29	g	g	NOUN
iajs-1841	97	30	since	since	SCONJ
iajs-1841	97	31	g	g	PROPN
iajs-1841	97	32	is	be	AUX
iajs-1841	97	33	orthogonal	orthogonal	ADJ
iajs-1841	97	34	matrix	matrix	NOUN
iajs-1841	97	35	.	.	PUNCT
iajs-1841	98	1	let	let	VERB
iajs-1841	98	2	pcb	pcb	NOUN
iajs-1841	98	3	denote	denote	VERB
iajs-1841	98	4	the	the	DET
iajs-1841	98	5	principal	principal	ADJ
iajs-1841	98	6	component	component	NOUN
iajs-1841	98	7	estimator	estimator	NOUN
iajs-1841	98	8	of	of	ADP
iajs-1841	98	9	β	β	PROPN
iajs-1841	98	10	then	then	ADV
iajs-1841	98	11	^	^	PUNCT
iajs-1841	98	12	pcb	pcb	NOUN
iajs-1841	98	13	g	g	PROPN
iajs-1841	98	14			NOUN
iajs-1841	98	15	if	if	SCONJ
iajs-1841	98	16	q	q	PRON
iajs-1841	98	17	principal	principal	ADJ
iajs-1841	98	18	components	component	NOUN
iajs-1841	98	19	are	be	AUX
iajs-1841	98	20	selected	select	VERB
iajs-1841	98	21	then	then	ADV
iajs-1841	98	22	^	^	PUNCT
iajs-1841	98	23	1	1	NUM
iajs-1841	98	24	(	(	PUNCT
iajs-1841	98	25	)	)	PUNCT
iajs-1841	98	26	'	'	PUNCT
iajs-1841	98	27	'	'	PUNCT
iajs-1841	98	28	qpc	qpc	NOUN
iajs-1841	98	29	q	q	NOUN
iajs-1841	98	30	q	q	X
iajs-1841	98	31	q	q	X
iajs-1841	98	32	q	q	X
iajs-1841	98	33	qb	qb	NOUN
iajs-1841	98	34	g	g	NOUN
iajs-1841	98	35	g	g	PROPN
iajs-1841	98	36	g	g	PROPN
iajs-1841	98	37	x	x	X
iajs-1841	98	38	y	y	PROPN
iajs-1841	98	39			NOUN
iajs-1841	98	40			PROPN
iajs-1841	98	41			NOUN
iajs-1841	98	42	(	(	PUNCT
iajs-1841	98	43	15	15	NUM
iajs-1841	98	44	)	)	PUNCT
iajs-1841	98	45	the	the	DET
iajs-1841	98	46	simulation	simulation	NOUN
iajs-1841	98	47	results	result	VERB
iajs-1841	98	48	to	to	PART
iajs-1841	98	49	exhibit	exhibit	VERB
iajs-1841	98	50	multi	multi	NOUN
iajs-1841	98	51	-	-	NOUN
iajs-1841	98	52	collinearity	collinearity	NOUN
iajs-1841	98	53	in	in	ADP
iajs-1841	98	54	the	the	DET
iajs-1841	98	55	simulated	simulate	VERB
iajs-1841	98	56	data	datum	NOUN
iajs-1841	98	57	,	,	PUNCT
iajs-1841	98	58	we	we	PRON
iajs-1841	98	59	use	use	VERB
iajs-1841	98	60	different	different	ADJ
iajs-1841	98	61	degrees	degree	NOUN
iajs-1841	98	62	of	of	ADP
iajs-1841	98	63	correlation	correlation	NOUN
iajs-1841	98	64	between	between	ADP
iajs-1841	98	65	the	the	DET
iajs-1841	98	66	variables	variable	NOUN
iajs-1841	98	67	included	include	VERB
iajs-1841	98	68	in	in	ADP
iajs-1841	98	69	the	the	DET
iajs-1841	98	70	model	model	NOUN
iajs-1841	98	71	.	.	PUNCT
iajs-1841	99	1	specifically	specifically	ADV
iajs-1841	99	2	,	,	PUNCT
iajs-1841	99	3	we	we	PRON
iajs-1841	99	4	assume	assume	VERB
iajs-1841	99	5	correlation	correlation	NOUN
iajs-1841	99	6	values	value	NOUN
iajs-1841	99	7	to	to	PART
iajs-1841	99	8	be	be	AUX
iajs-1841	99	9	ρ	ρ	NUM
iajs-1841	99	10	0.75,0.80	0.75,0.80	NOUN
iajs-1841	99	11	and	and	CCONJ
iajs-1841	99	12	0.95	0.95	PROPN
iajs-1841	99	13	,	,	PUNCT
iajs-1841	99	14	four	four	NUM
iajs-1841	99	15	predictor	predictor	NOUN
iajs-1841	99	16	variables	variable	NOUN
iajs-1841	99	17	have	have	AUX
iajs-1841	99	18	been	be	AUX
iajs-1841	99	19	generated	generate	VERB
iajs-1841	99	20	.	.	PUNCT
iajs-1841	100	1	since	since	SCONJ
iajs-1841	100	2	the	the	DET
iajs-1841	100	3	performance	performance	NOUN
iajs-1841	100	4	of	of	ADP
iajs-1841	100	5	different	different	ADJ
iajs-1841	100	6	estimators	estimator	NOUN
iajs-1841	100	7	is	be	AUX
iajs-1841	100	8	influenced	influence	VERB
iajs-1841	100	9	by	by	ADP
iajs-1841	100	10	the	the	DET
iajs-1841	100	11	sample	sample	NOUN
iajs-1841	100	12	size	size	NOUN
iajs-1841	100	13	,	,	PUNCT
iajs-1841	100	14	we	we	PRON
iajs-1841	100	15	have	have	AUX
iajs-1841	100	16	used	use	VERB
iajs-1841	100	17	three	three	NUM
iajs-1841	100	18	types	type	NOUN
iajs-1841	100	19	of	of	ADP
iajs-1841	100	20	samples	sample	NOUN
iajs-1841	100	21	,	,	PUNCT
iajs-1841	100	22	small	small	ADJ
iajs-1841	100	23	of	of	ADP
iajs-1841	100	24	size	size	NOUN
iajs-1841	100	25	20	20	NUM
iajs-1841	100	26	,	,	PUNCT
iajs-1841	100	27	median	median	NOUN
iajs-1841	100	28	of	of	ADP
iajs-1841	100	29	size	size	NOUN
iajs-1841	100	30	50,80	50,80	NOUN
iajs-1841	100	31	and	and	CCONJ
iajs-1841	100	32	large	large	ADJ
iajs-1841	100	33	of	of	ADP
iajs-1841	100	34	size	size	NOUN
iajs-1841	100	35	200	200	NUM
iajs-1841	100	36	.	.	PUNCT
iajs-1841	101	1	the	the	DET
iajs-1841	101	2	standard	standard	ADJ
iajs-1841	101	3	deviations	deviation	NOUN
iajs-1841	101	4	of	of	ADP
iajs-1841	101	5	the	the	DET
iajs-1841	101	6	error	error	NOUN
iajs-1841	101	7	terms	term	NOUN
iajs-1841	101	8	are	be	AUX
iajs-1841	101	9	taken	take	VERB
iajs-1841	101	10	as	as	ADP
iajs-1841	101	11	σ	σ	PROPN
iajs-1841	101	12	10	10	NUM
iajs-1841	101	13	,	,	PUNCT
iajs-1841	101	14	25	25	NUM
iajs-1841	101	15	and	and	CCONJ
iajs-1841	101	16	30	30	NUM
iajs-1841	101	17	.	.	PUNCT
iajs-1841	102	1	ordinary	ordinary	ADJ
iajs-1841	102	2	ridge	ridge	NOUN
iajs-1841	102	3	estimates	estimate	NOUN
iajs-1841	102	4	are	be	AUX
iajs-1841	102	5	computed	compute	VERB
iajs-1841	102	6	using	use	VERB
iajs-1841	102	7	different	different	ADJ
iajs-1841	102	8	ridge	ridge	NOUN
iajs-1841	102	9	parameters	parameter	NOUN
iajs-1841	102	10	given	give	VERB
iajs-1841	102	11	in	in	ADP
iajs-1841	102	12	equation	equation	NOUN
iajs-1841	102	13	(	(	PUNCT
iajs-1841	102	14	8)	8)	NUM
iajs-1841	102	15	to	to	PART
iajs-1841	102	16	(	(	PUNCT
iajs-1841	102	17	11	11	NUM
iajs-1841	102	18	)	)	PUNCT
iajs-1841	102	19	and	and	CCONJ
iajs-1841	102	20	the	the	DET
iajs-1841	102	21	principal	principal	ADJ
iajs-1841	102	22	components	component	NOUN
iajs-1841	102	23	regression	regression	NOUN
iajs-1841	102	24	given	give	VERB
iajs-1841	102	25	equations	equation	NOUN
iajs-1841	102	26	(	(	PUNCT
iajs-1841	102	27	12	12	NUM
iajs-1841	102	28	)	)	PUNCT
iajs-1841	102	29	to	to	ADP
iajs-1841	102	30	(	(	PUNCT
iajs-1841	102	31	15	15	NUM
iajs-1841	102	32	)	)	PUNCT
iajs-1841	102	33	.	.	PUNCT
iajs-1841	103	1	the	the	DET
iajs-1841	103	2	mean	mean	ADJ
iajs-1841	103	3	square	square	ADJ
iajs-1841	103	4	error	error	NOUN
iajs-1841	103	5	(	(	PUNCT
iajs-1841	103	6	mse	mse	NOUN
iajs-1841	103	7	)	)	PUNCT
iajs-1841	103	8	is	be	AUX
iajs-1841	103	9	used	use	VERB
iajs-1841	103	10	as	as	ADP
iajs-1841	103	11	a	a	DET
iajs-1841	103	12	criterion	criterion	NOUN
iajs-1841	103	13	in	in	ADP
iajs-1841	103	14	order	order	NOUN
iajs-1841	103	15	to	to	PART
iajs-1841	103	16	assess	assess	VERB
iajs-1841	103	17	the	the	DET
iajs-1841	103	18	performance	performance	NOUN
iajs-1841	103	19	of	of	ADP
iajs-1841	103	20	the	the	DET
iajs-1841	103	21	stated	state	VERB
iajs-1841	103	22	methods	method	NOUN
iajs-1841	103	23	.	.	PUNCT
iajs-1841	104	1	this	this	DET
iajs-1841	104	2	experiment	experiment	NOUN
iajs-1841	104	3	is	be	AUX
iajs-1841	104	4	repeated	repeat	VERB
iajs-1841	104	5	1000	1000	NUM
iajs-1841	104	6	times	time	NOUN
iajs-1841	104	7	.	.	PUNCT
iajs-1841	105	1	and	and	CCONJ
iajs-1841	105	2	the	the	DET
iajs-1841	105	3	results	result	NOUN
iajs-1841	105	4	are	be	AUX
iajs-1841	105	5	presented	present	VERB
iajs-1841	105	6	in	in	ADP
iajs-1841	105	7	tables	table	NOUN
iajs-1841	105	8	(	(	PUNCT
iajs-1841	105	9	1	1	NUM
iajs-1841	105	10	)	)	PUNCT
iajs-1841	105	11	,	,	PUNCT
iajs-1841	105	12	(	(	PUNCT
iajs-1841	105	13	2	2	X
iajs-1841	105	14	)	)	PUNCT
iajs-1841	105	15	and	and	CCONJ
iajs-1841	105	16	(	(	PUNCT
iajs-1841	105	17	3	3	NUM
iajs-1841	105	18	)	)	PUNCT
iajs-1841	105	19	.	.	PUNCT
iajs-1841	106	1	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	ADV
iajs-1841	106	2	mathematics	mathematic	NOUN
iajs-1841	106	3	|	|	ADV
iajs-1841	106	4	218	218	NUM
iajs-1841	106	5	2018	2018	NUM
iajs-1841	106	6	)	)	PUNCT
iajs-1841	106	7	عام	عام	ADP
iajs-1841	106	8	1(العدد	1(العدد	NUM
iajs-1841	106	9	)	)	PUNCT
iajs-1841	107	1	31(لمجلد	31(لمجلد	NUM
iajs-1841	107	2	ا	ا	X
iajs-1841	107	3	مجلة	مجلة	PROPN
iajs-1841	107	4	إبن	إبن	VERB
iajs-1841	107	5	الهيثم	الهيثم	ADJ
iajs-1841	107	6	للعلوم	للعلوم	NOUN
iajs-1841	107	7	الصرفة	الصرفة	NOUN
iajs-1841	108	1	و	و	PRON
iajs-1841	108	2	التطبيقية	التطبيقية	ADJ
iajs-1841	108	3	ibn	ibn	PROPN
iajs-1841	108	4	al	al	PROPN
iajs-1841	108	5	-	-	PUNCT
iajs-1841	108	6	haitham	haitham	PROPN
iajs-1841	108	7	j.	j.	PROPN
iajs-1841	108	8	for	for	ADP
iajs-1841	108	9	pure	pure	PROPN
iajs-1841	108	10	&	&	CCONJ
iajs-1841	108	11	appl	appl	PROPN
iajs-1841	108	12	.	.	PUNCT
iajs-1841	109	1	sci	sci	PROPN
iajs-1841	109	2	.	.	PUNCT
iajs-1841	110	1	vol.31	vol.31	PROPN
iajs-1841	110	2	(	(	PUNCT
iajs-1841	110	3	1	1	NUM
iajs-1841	110	4	)	)	SYM
iajs-1841	110	5	2018	2018	NUM
iajs-1841	110	6	table	table	NOUN
iajs-1841	110	7	(	(	PUNCT
iajs-1841	110	8	1):the	1):the	DET
iajs-1841	110	9	values	value	NOUN
iajs-1841	110	10	of	of	ADP
iajs-1841	110	11	mse	mse	NOUN
iajs-1841	110	12	at	at	ADP
iajs-1841	110	13	0.75	0.75	NUM
iajs-1841	110	14			NUM
iajs-1841	110	15	n	n	CCONJ
iajs-1841	110	16	  	  	SPACE
iajs-1841	110	17	method	method	NOUN
iajs-1841	110	18	  	  	SPACE
iajs-1841	110	19	standard	standard	ADJ
iajs-1841	110	20	 	 	SPACE
iajs-1841	110	21	deviation	deviation	NOUN
iajs-1841	110	22	    	    	SPACE
iajs-1841	110	23	10	10	NUM
iajs-1841	110	24	  	  	SPACE
iajs-1841	110	25	25	25	NUM
iajs-1841	110	26	  	  	SPACE
iajs-1841	110	27	30	30	NUM
iajs-1841	110	28	  	  	SPACE
iajs-1841	110	29	20	20	NUM
iajs-1841	110	30	  	  	SPACE
iajs-1841	110	31	pc	pc	NOUN
iajs-1841	110	32	  	  	SPACE
iajs-1841	110	33	3.9252e‐018	3.9252e‐018	NUM
iajs-1841	110	34	    	    	SPACE
iajs-1841	110	35	9.4206e‐018	9.4206e‐018	NUM
iajs-1841	110	36	    	    	SPACE
iajs-1841	110	37	1.1776e‐017	1.1776e‐017	NUM
iajs-1841	110	38	      	      	SPACE
iajs-1841	110	39	hkbk	hkbk	NOUN
iajs-1841	110	40			PROPN
iajs-1841	110	41	  	  	SPACE
iajs-1841	110	42	0.0215	0.0215	NUM
iajs-1841	110	43	    	    	SPACE
iajs-1841	110	44	0.0215	0.0215	NUM
iajs-1841	110	45	      	      	SPACE
iajs-1841	110	46	0.0214	0.0214	NUM
iajs-1841	110	47	  	  	SPACE
iajs-1841	110	48	lwk	lwk	NOUN
iajs-1841	110	49			PROPN
iajs-1841	110	50	      	      	SPACE
iajs-1841	110	51	0.0027	0.0027	NUM
iajs-1841	110	52	  	  	SPACE
iajs-1841	110	53	0.0027	0.0027	NUM
iajs-1841	110	54	      	      	SPACE
iajs-1841	110	55	0.0027	0.0027	NUM
iajs-1841	110	56	       	       	SPACE
iajs-1841	110	57	bayesk	bayesk	NOUN
iajs-1841	110	58			PROPN
iajs-1841	110	59	      	      	SPACE
iajs-1841	110	60	0.0275	0.0275	NUM
iajs-1841	110	61	  	  	SPACE
iajs-1841	110	62	0.0276	0.0276	NUM
iajs-1841	110	63	      	      	SPACE
iajs-1841	110	64	0.0276	0.0276	NUM
iajs-1841	110	65	  	  	SPACE
iajs-1841	110	66	cnk	cnk	PROPN
iajs-1841	110	67			PROPN
iajs-1841	110	68	  	  	SPACE
iajs-1841	110	69	1.2561e‐017	1.2561e‐017	NUM
iajs-1841	110	70	  	  	SPACE
iajs-1841	110	71	8.6355e‐018	8.6355e‐018	NOUN
iajs-1841	110	72	  	  	SPACE
iajs-1841	110	73	1.9626e‐018	1.9626e‐018	NUM
iajs-1841	110	74	  	  	SPACE
iajs-1841	110	75	50	50	NUM
iajs-1841	110	76	  	  	SPACE
iajs-1841	110	77	pc	pc	NOUN
iajs-1841	110	78	  	  	SPACE
iajs-1841	110	79	2.9790e‐018	2.9790e‐018	NOUN
iajs-1841	110	80	    	    	SPACE
iajs-1841	110	81	4.9651e‐018	4.9651e‐018	NUM
iajs-1841	110	82	    	    	SPACE
iajs-1841	110	83	1.4895e‐017	1.4895e‐017	NUM
iajs-1841	110	84	      	      	SPACE
iajs-1841	110	85	hkbk	hkbk	NOUN
iajs-1841	110	86			PROPN
iajs-1841	110	87	      	      	SPACE
iajs-1841	110	88	0.0217	0.0217	NUM
iajs-1841	110	89	      	      	SPACE
iajs-1841	110	90	0.0220	0.0220	NUM
iajs-1841	110	91	      	      	SPACE
iajs-1841	110	92	0.0220	0.0220	NUM
iajs-1841	110	93	  	  	SPACE
iajs-1841	110	94	lwk	lwk	NOUN
iajs-1841	110	95			PROPN
iajs-1841	110	96	  	  	SPACE
iajs-1841	110	97	8.2379e‐004	8.2379e‐004	NUM
iajs-1841	110	98	    	    	SPACE
iajs-1841	110	99	8.2387e‐004	8.2387e‐004	NUM
iajs-1841	110	100	    	    	SPACE
iajs-1841	110	101	8.2388e‐004	8.2388e‐004	NUM
iajs-1841	110	102	       	       	SPACE
iajs-1841	110	103	bayesk	bayesk	NOUN
iajs-1841	110	104			PROPN
iajs-1841	110	105	      	      	SPACE
iajs-1841	110	106	0.0151	0.0151	NUM
iajs-1841	110	107	      	      	SPACE
iajs-1841	110	108	0.0151	0.0151	NUM
iajs-1841	110	109	      	      	SPACE
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iajs-1841	110	111	  	  	SPACE
iajs-1841	110	112	cnk	cnk	PROPN
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iajs-1841	110	114	    	    	SPACE
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iajs-1841	110	116	  	  	SPACE
iajs-1841	110	117	1.2909e‐017	1.2909e‐017	NUM
iajs-1841	110	118	  	  	SPACE
iajs-1841	110	119	1.9860e‐018	1.9860e‐018	NUM
iajs-1841	110	120	  	  	SPACE
iajs-1841	110	121	80	80	NUM
iajs-1841	110	122	    	    	SPACE
iajs-1841	110	123	pc	pc	NOUN
iajs-1841	110	124	  	  	SPACE
iajs-1841	110	125	3.9252e‐018	3.9252e‐018	NUM
iajs-1841	110	126	  	  	SPACE
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iajs-1841	110	128	  	  	SPACE
iajs-1841	110	129	1.2561e‐017	1.2561e‐017	NUM
iajs-1841	110	130	      	      	SPACE
iajs-1841	110	131	hkbk	hkbk	NOUN
iajs-1841	110	132			PROPN
iajs-1841	110	133	  	  	SPACE
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iajs-1841	110	135	   	   	SPACE
iajs-1841	110	136	0.0287	0.0287	NUM
iajs-1841	110	137	  	  	SPACE
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iajs-1841	110	139	  	  	SPACE
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iajs-1841	110	142	  	  	SPACE
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iajs-1841	110	144	  	  	SPACE
iajs-1841	110	145	6.2243e‐004	6.2243e‐004	NOUN
iajs-1841	110	146	   	   	SPACE
iajs-1841	110	147	6.2243e‐004	6.2243e‐004	NOUN
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iajs-1841	110	150			PROPN
iajs-1841	110	151	  	  	SPACE
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iajs-1841	110	153	  	  	SPACE
iajs-1841	110	154	0.0576	0.0576	NUM
iajs-1841	110	155	  	  	SPACE
iajs-1841	110	156	0.0576	0.0576	NUM
iajs-1841	110	157	  	  	SPACE
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iajs-1841	110	160	  	  	SPACE
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iajs-1841	110	162	  	  	SPACE
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iajs-1841	110	164	  	  	SPACE
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iajs-1841	110	166	  	  	SPACE
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iajs-1841	110	168	  	  	SPACE
iajs-1841	110	169	pc	pc	NOUN
iajs-1841	110	170	  	  	SPACE
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iajs-1841	110	172	  	  	SPACE
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iajs-1841	110	174	  	  	SPACE
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iajs-1841	110	176	      	      	SPACE
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iajs-1841	110	179	  	  	SPACE
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iajs-1841	110	181	      	      	SPACE
iajs-1841	110	182	0.0273	0.0273	NUM
iajs-1841	110	183	  	  	SPACE
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iajs-1841	110	185	  	  	SPACE
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iajs-1841	110	187			PROPN
iajs-1841	110	188	  	  	SPACE
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iajs-1841	110	190	  	  	SPACE
iajs-1841	110	191	1.1161e‐004	1.1161e‐004	NUM
iajs-1841	110	192	  	  	SPACE
iajs-1841	110	193	1.1161e‐004	1.1161e‐004	NUM
iajs-1841	110	194	       	       	SPACE
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iajs-1841	110	196			PROPN
iajs-1841	110	197	  	  	SPACE
iajs-1841	110	198	0.0370	0.0370	NUM
iajs-1841	110	199	  	  	SPACE
iajs-1841	110	200	0.0372	0.0372	NUM
iajs-1841	110	201	  	  	SPACE
iajs-1841	110	202	0.0372	0.0372	NUM
iajs-1841	110	203	  	  	SPACE
iajs-1841	110	204	cnk	cnk	PROPN
iajs-1841	110	205			PROPN
iajs-1841	110	206	  	  	SPACE
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iajs-1841	120	13	cnk	cnk	ADJ
iajs-1841	121	1			PROPN
iajs-1841	121	2	1.3346e-017	1.3346e-017	PROPN
iajs-1841	121	3	2.0411e-017	2.0411e-017	PROPN
iajs-1841	122	1	5.4953e-018	5.4953e-018	NUM
iajs-1841	122	2	200	200	NUM
iajs-1841	122	3	pc	pc	NOUN
iajs-1841	122	4	2.5446e-018	2.5446e-018	NUM
iajs-1841	122	5	4.4686e-018	4.4686e-018	NUM
iajs-1841	122	6	2.4081e-017	2.4081e-017	NUM
iajs-1841	122	7	hkbk	hkbk	NOUN
iajs-1841	122	8			PROPN
iajs-1841	122	9	0.0271	0.0271	NUM
iajs-1841	122	10	0.0273	0.0273	NUM
iajs-1841	122	11	0.0273	0.0273	NUM
iajs-1841	122	12	lwk	lwk	NOUN
iajs-1841	122	13			PROPN
iajs-1841	122	14	1.1161e-004	1.1161e-004	PROPN
iajs-1841	122	15	1.1161e-004	1.1161e-004	PROPN
iajs-1841	122	16	1.1161e-004	1.1161e-004	PROPN
iajs-1841	122	17	bayesk	bayesk	NOUN
iajs-1841	122	18			PROPN
iajs-1841	122	19	0.0370	0.0370	NUM
iajs-1841	122	20	0.0372	0.0372	NUM
iajs-1841	122	21	0.0372	0.0372	NUM
iajs-1841	122	22	cnk	cnk	NOUN
iajs-1841	122	23			PROPN
iajs-1841	122	24	3.8924e-004	3.8924e-004	PROPN
iajs-1841	122	25	1.1116e-016	1.1116e-016	NUM
iajs-1841	122	26	1.6720e-016	1.6720e-016	PROPN
iajs-1841	122	27	conclusions	conclusion	NOUN
iajs-1841	122	28	in	in	ADP
iajs-1841	122	29	the	the	DET
iajs-1841	122	30	sense	sense	NOUN
iajs-1841	122	31	of	of	ADP
iajs-1841	122	32	mean	mean	ADJ
iajs-1841	122	33	square	square	ADJ
iajs-1841	122	34	error	error	NOUN
iajs-1841	122	35	(	(	PUNCT
iajs-1841	122	36	mse	mse	NOUN
iajs-1841	122	37	)	)	PUNCT
iajs-1841	122	38	as	as	ADP
iajs-1841	122	39	a	a	DET
iajs-1841	122	40	criterion	criterion	NOUN
iajs-1841	122	41	of	of	ADP
iajs-1841	122	42	performance	performance	NOUN
iajs-1841	122	43	.	.	PUNCT
iajs-1841	123	1	in	in	ADP
iajs-1841	123	2	our	our	PRON
iajs-1841	123	3	paper	paper	NOUN
iajs-1841	123	4	"	"	PUNCT
iajs-1841	123	5	an	an	DET
iajs-1841	123	6	alternative	alternative	ADJ
iajs-1841	123	7	approach	approach	NOUN
iajs-1841	123	8	for	for	ADP
iajs-1841	123	9	selecting	select	VERB
iajs-1841	123	10	ridge	ridge	NOUN
iajs-1841	123	11	parameter	parameter	NOUN
iajs-1841	123	12	for	for	ADP
iajs-1841	123	13	ordinary	ordinary	ADJ
iajs-1841	123	14	ridge	ridge	PROPN
iajs-1841	123	15	regression	regression	PROPN
iajs-1841	123	16	estimator	estimator	PROPN
iajs-1841	123	17	regression	regression	PROPN
iajs-1841	123	18	estimator	estimator	NOUN
iajs-1841	123	19	"	"	PUNCT
iajs-1841	123	20	international	international	ADJ
iajs-1841	123	21	journal	journal	NOUN
iajs-1841	123	22	of	of	ADP
iajs-1841	123	23	science	science	NOUN
iajs-1841	123	24	and	and	CCONJ
iajs-1841	123	25	research	research	NOUN
iajs-1841	123	26	(	(	PUNCT
iajs-1841	123	27	ijsr).we	ijsr).we	PRON
iajs-1841	123	28	made	make	VERB
iajs-1841	123	29	the	the	DET
iajs-1841	123	30	comparison	comparison	NOUN
iajs-1841	123	31	between	between	ADP
iajs-1841	123	32	the	the	DET
iajs-1841	123	33	performance	performance	NOUN
iajs-1841	123	34	of	of	ADP
iajs-1841	123	35	different	different	ADJ
iajs-1841	123	36	type	type	NOUN
iajs-1841	123	37	ordinary	ordinary	ADJ
iajs-1841	123	38	ridge	ridge	NOUN
iajs-1841	123	39	regression	regression	NOUN
iajs-1841	123	40	as	as	ADV
iajs-1841	123	41	well	well	ADV
iajs-1841	123	42	as	as	ADP
iajs-1841	123	43	the	the	DET
iajs-1841	123	44	generalize	generalize	PROPN
iajs-1841	123	45	ridge	ridge	NOUN
iajs-1841	123	46	regression	regression	NOUN
iajs-1841	123	47	and	and	CCONJ
iajs-1841	123	48	we	we	PRON
iajs-1841	123	49	found	find	VERB
iajs-1841	123	50	the	the	DET
iajs-1841	123	51	proposed	propose	VERB
iajs-1841	123	52	method	method	NOUN
iajs-1841	123	53	was	be	AUX
iajs-1841	123	54	the	the	DET
iajs-1841	123	55	best	good	ADJ
iajs-1841	123	56	in	in	ADP
iajs-1841	123	57	the	the	DET
iajs-1841	123	58	since	since	NOUN
iajs-1841	123	59	of	of	ADP
iajs-1841	123	60	mse	mse	NOUN
iajs-1841	123	61	,	,	PUNCT
iajs-1841	123	62	while	while	SCONJ
iajs-1841	123	63	in	in	ADP
iajs-1841	123	64	this	this	DET
iajs-1841	123	65	paper	paper	NOUN
iajs-1841	123	66	we	we	PRON
iajs-1841	123	67	introduced	introduce	VERB
iajs-1841	123	68	another	another	PRON
iajs-1841	123	69	which	which	PRON
iajs-1841	123	70	will	will	AUX
iajs-1841	123	71	be	be	AUX
iajs-1841	123	72	known	know	VERB
iajs-1841	123	73	method	method	NOUN
iajs-1841	123	74	of	of	ADP
iajs-1841	123	75	estimation	estimation	NOUN
iajs-1841	123	76	which	which	PRON
iajs-1841	123	77	is	be	AUX
iajs-1841	123	78	the	the	DET
iajs-1841	123	79	principal	principal	ADJ
iajs-1841	123	80	component	component	NOUN
iajs-1841	123	81	method	method	NOUN
iajs-1841	123	82	and	and	CCONJ
iajs-1841	123	83	compared	compare	VERB
iajs-1841	123	84	it	it	PRON
iajs-1841	123	85	with	with	ADP
iajs-1841	123	86	many	many	ADJ
iajs-1841	123	87	different	different	ADJ
iajs-1841	123	88	types	type	NOUN
iajs-1841	123	89	of	of	ADP
iajs-1841	123	90	ridge	ridge	NOUN
iajs-1841	123	91	https://doi.org/10.30526/31.1.1841	https://doi.org/10.30526/31.1.1841	PROPN
iajs-1841	123	92	mathematics	mathematic	NOUN
iajs-1841	123	93	|	|	ADV
iajs-1841	123	94	221	221	NUM
iajs-1841	123	95	2018	2018	NUM
iajs-1841	123	96	)	)	PUNCT
iajs-1841	123	97	عام	عام	ADP
iajs-1841	123	98	1(العدد	1(العدد	NUM
iajs-1841	123	99	)	)	PUNCT
iajs-1841	124	1	31(لمجلد	31(لمجلد	NUM
iajs-1841	124	2	ا	ا	X
iajs-1841	124	3	مجلة	مجلة	PROPN
iajs-1841	124	4	إبن	إبن	VERB
iajs-1841	124	5	الهيثم	الهيثم	ADJ
iajs-1841	124	6	للعلوم	للعلوم	NOUN
iajs-1841	124	7	الصرفة	الصرفة	NOUN
iajs-1841	125	1	و	و	PRON
iajs-1841	125	2	التطبيقية	التطبيقية	ADJ
iajs-1841	125	3	ibn	ibn	PROPN
iajs-1841	125	4	al	al	PROPN
iajs-1841	125	5	-	-	PUNCT
iajs-1841	125	6	haitham	haitham	PROPN
iajs-1841	125	7	j.	j.	PROPN
iajs-1841	125	8	for	for	ADP
iajs-1841	125	9	pure	pure	PROPN
iajs-1841	125	10	&	&	CCONJ
iajs-1841	125	11	appl	appl	PROPN
iajs-1841	125	12	.	.	PUNCT
iajs-1841	126	1	sci	sci	PROPN
iajs-1841	126	2	.	.	PUNCT
iajs-1841	127	1	vol.31	vol.31	PROPN
iajs-1841	127	2	(	(	PUNCT
iajs-1841	127	3	1	1	NUM
iajs-1841	127	4	)	)	SYM
iajs-1841	127	5	2018	2018	NUM
iajs-1841	127	6	regression	regression	NOUN
iajs-1841	127	7	estimator	estimator	NOUN
iajs-1841	127	8	,	,	PUNCT
iajs-1841	127	9	the	the	DET
iajs-1841	127	10	simulation	simulation	NOUN
iajs-1841	127	11	results	result	NOUN
iajs-1841	127	12	displayed	display	VERB
iajs-1841	127	13	that	that	SCONJ
iajs-1841	127	14	the	the	DET
iajs-1841	127	15	principal	principal	ADJ
iajs-1841	127	16	components	component	NOUN
iajs-1841	127	17	estimator	estimator	NOUN
iajs-1841	127	18	performs	perform	VERB
iajs-1841	127	19	better	well	ADV
iajs-1841	127	20	than	than	ADP
iajs-1841	127	21	all	all	DET
iajs-1841	127	22	types	type	NOUN
iajs-1841	127	23	of	of	ADP
iajs-1841	127	24	ordinary	ordinary	ADJ
iajs-1841	127	25	ridge	ridge	NOUN
iajs-1841	127	26	regression	regression	NOUN
iajs-1841	127	27	estimators	estimator	NOUN
iajs-1841	127	28	that	that	PRON
iajs-1841	127	29	are	be	AUX
iajs-1841	127	30	included	include	VERB
iajs-1841	127	31	in	in	ADP
iajs-1841	127	32	this	this	DET
iajs-1841	127	33	articles	article	NOUN
iajs-1841	127	34	while	while	SCONJ
iajs-1841	127	35	the	the	DET
iajs-1841	127	36	ordinary	ordinary	ADJ
iajs-1841	127	37	regression	regression	NOUN
iajs-1841	127	38	estimator	estimator	NOUN
iajs-1841	127	39	based	base	VERB
iajs-1841	127	40	on	on	ADP
iajs-1841	127	41	the	the	DET
iajs-1841	127	42	ridge	ridge	NOUN
iajs-1841	127	43	parameter	parameter	NOUN
iajs-1841	127	44	^	^	PUNCT
iajs-1841	127	45	cnk	cnk	PROPN
iajs-1841	127	46	seems	seem	VERB
iajs-1841	127	47	to	to	PART
iajs-1841	127	48	be	be	AUX
iajs-1841	127	49	better	well	ADJ
iajs-1841	127	50	than	than	ADP
iajs-1841	127	51	other	other	ADJ
iajs-1841	127	52	studied	study	VERB
iajs-1841	127	53	types	type	NOUN
iajs-1841	127	54	of	of	ADP
iajs-1841	127	55	ordinary	ordinary	ADJ
iajs-1841	127	56	ridge	ridge	NOUN
iajs-1841	127	57	regression	regression	NOUN
iajs-1841	127	58	estimators	estimator	NOUN
iajs-1841	127	59	in	in	ADP
iajs-1841	127	60	all	all	DET
iajs-1841	127	61	conditions	condition	NOUN
iajs-1841	127	62	of	of	ADP
iajs-1841	127	63	multicollinearity	multicollinearity	NOUN
iajs-1841	127	64	levels	level	NOUN
iajs-1841	127	65	,	,	PUNCT
iajs-1841	127	66	sample	sample	NOUN
iajs-1841	127	67	sizes	size	NOUN
iajs-1841	127	68	and	and	CCONJ
iajs-1841	127	69	the	the	DET
iajs-1841	127	70	standard	standard	ADJ
iajs-1841	127	71	deviations	deviation	NOUN
iajs-1841	127	72	of	of	ADP
iajs-1841	127	73	the	the	DET
iajs-1841	127	74	error	error	NOUN
iajs-1841	127	75	terms	term	NOUN
iajs-1841	127	76	.	.	PUNCT
iajs-1841	128	1	however	however	ADV
iajs-1841	128	2	,	,	PUNCT
iajs-1841	128	3	for	for	ADP
iajs-1841	128	4	the	the	DET
iajs-1841	128	5	purpose	purpose	NOUN
iajs-1841	128	6	of	of	ADP
iajs-1841	128	7	future	future	ADJ
iajs-1841	128	8	works	work	NOUN
iajs-1841	128	9	,	,	PUNCT
iajs-1841	128	10	many	many	ADJ
iajs-1841	128	11	other	other	ADJ
iajs-1841	128	12	methods	method	NOUN
iajs-1841	128	13	can	can	AUX
iajs-1841	128	14	be	be	AUX
iajs-1841	128	15	used	use	VERB
iajs-1841	128	16	to	to	PART
iajs-1841	128	17	overcome	overcome	VERB
iajs-1841	128	18	the	the	DET
iajs-1841	128	19	multi	multi	ADJ
iajs-1841	128	20	-	-	ADJ
iajs-1841	128	21	collinearity	collinearity	ADJ
iajs-1841	128	22	problem	problem	NOUN
iajs-1841	128	23	such	such	ADJ
iajs-1841	128	24	as	as	ADP
iajs-1841	128	25	the	the	DET
iajs-1841	128	26	generalized	generalized	ADJ
iajs-1841	128	27	inverse	inverse	NOUN
iajs-1841	128	28	method	method	NOUN
iajs-1841	128	29	and	and	CCONJ
iajs-1841	128	30	the	the	DET
iajs-1841	128	31	jackknife	jackknife	PROPN
iajs-1841	128	32	ridge	ridge	PROPN
iajs-1841	128	33	regression	regression	PROPN
iajs-1841	128	34	method	method	NOUN
iajs-1841	128	35	.	.	PUNCT
iajs-1841	129	1	references	reference	NOUN
iajs-1841	129	2	[	[	X
iajs-1841	129	3	1	1	NUM
iajs-1841	129	4	]	]	X
iajs-1841	129	5	h.m	h.m	PROPN
iajs-1841	129	6	.	.	PROPN
iajs-1841	129	7	gorgees	gorgee	NOUN
iajs-1841	129	8	,	,	PUNCT
iajs-1841	129	9	“	"	PUNCT
iajs-1841	129	10	using	use	VERB
iajs-1841	129	11	singular	singular	ADJ
iajs-1841	129	12	value	value	NOUN
iajs-1841	129	13	decomposition	decomposition	NOUN
iajs-1841	129	14	method	method	NOUN
iajs-1841	129	15	for	for	ADP
iajs-1841	129	16	estimating	estimate	VERB
iajs-1841	129	17	the	the	DET
iajs-1841	129	18	ridge	ridge	NOUN
iajs-1841	129	19	parameter	parameter	NOUN
iajs-1841	129	20	"	"	PUNCT
iajs-1841	129	21	,	,	PUNCT
iajs-1841	129	22	journal	journal	NOUN
iajs-1841	129	23	of	of	ADP
iajs-1841	129	24	economic	economic	ADJ
iajs-1841	129	25	and	and	CCONJ
iajs-1841	129	26	administrative	administrative	ADJ
iajs-1841	129	27	science	science	NOUN
iajs-1841	129	28	,	,	PUNCT
iajs-1841	129	29	1	1	NUM
iajs-1841	129	30	-	-	SYM
iajs-1841	129	31	10	10	NUM
iajs-1841	129	32	.	.	PUNCT
iajs-1841	129	33	2009	2009	NUM
iajs-1841	130	1	[	[	X
iajs-1841	130	2	2	2	NUM
iajs-1841	130	3	]	]	PUNCT
iajs-1841	130	4	a.	a.	PROPN
iajs-1841	130	5	e.	e.	PROPN
iajs-1841	130	6	hoerl	hoerl	PROPN
iajs-1841	130	7	and	and	CCONJ
iajs-1841	130	8	r.w	r.w	PROPN
iajs-1841	130	9	.	.	PROPN
iajs-1841	130	10	kennard	kennard	PROPN
iajs-1841	130	11	.	.	PUNCT
iajs-1841	131	1	"	"	PUNCT
iajs-1841	131	2	ridge	ridge	NOUN
iajs-1841	131	3	regression	regression	NOUN
iajs-1841	131	4	:	:	PUNCT
iajs-1841	131	5	biased	biased	ADJ
iajs-1841	131	6	estimation	estimation	NOUN
iajs-1841	131	7	of	of	ADP
iajs-1841	131	8	nonorthogonal	nonorthogonal	ADJ
iajs-1841	131	9	problems	problem	NOUN
iajs-1841	131	10	"	"	PUNCT
iajs-1841	131	11	,	,	PUNCT
iajs-1841	131	12	techno	techno	NOUN
iajs-1841	131	13	metrics	metric	NOUN
iajs-1841	131	14	.	.	PUNCT
iajs-1841	132	1	55	55	NUM
iajs-1841	132	2	-	-	SYM
iajs-1841	132	3	67	67	NUM
iajs-1841	132	4	.	.	PUNCT
iajs-1841	132	5	1970	1970	NUM
iajs-1841	133	1	[	[	X
iajs-1841	133	2	3	3	X
iajs-1841	133	3	]	]	X
iajs-1841	133	4	a.e	a.e	PROPN
iajs-1841	133	5	.	.	PROPN
iajs-1841	133	6	hoerl	hoerl	PROPN
iajs-1841	133	7	,	,	PUNCT
iajs-1841	133	8	r.	r.	PROPN
iajs-1841	133	9	w.	w.	PROPN
iajs-1841	133	10	kennard	kennard	PROPN
iajs-1841	133	11	and	and	CCONJ
iajs-1841	133	12	k.f	k.f	PROPN
iajs-1841	133	13	.	.	PROPN
iajs-1841	133	14	baldwin	baldwin	PROPN
iajs-1841	133	15	.	.	PUNCT
iajs-1841	134	1	"	"	PUNCT
iajs-1841	134	2	ridge	ridge	NOUN
iajs-1841	134	3	regression	regression	NOUN
iajs-1841	134	4	:	:	PUNCT
iajs-1841	134	5	some	some	DET
iajs-1841	134	6	simulation	simulation	NOUN
iajs-1841	134	7	"	"	PUNCT
iajs-1841	134	8	communications	communication	NOUN
iajs-1841	134	9	in	in	ADP
iajs-1841	134	10	statistics	statistic	NOUN
iajs-1841	134	11	.	.	PUNCT
iajs-1841	135	1	105	105	NUM
iajs-1841	135	2	-	-	SYM
iajs-1841	135	3	123	123	NUM
iajs-1841	135	4	.	.	PUNCT
iajs-1841	136	1	1975	1975	NUM
iajs-1841	137	1	[	[	X
iajs-1841	137	2	4	4	X
iajs-1841	137	3	]	]	X
iajs-1841	137	4	j.f	j.f	ADP
iajs-1841	137	5	lawless	lawless	ADJ
iajs-1841	137	6	and	and	CCONJ
iajs-1841	137	7	p.	p.	PROPN
iajs-1841	137	8	wang	wang	PROPN
iajs-1841	137	9	.	.	PUNCT
iajs-1841	138	1	"	"	PUNCT
iajs-1841	138	2	a	a	DET
iajs-1841	138	3	simulation	simulation	NOUN
iajs-1841	138	4	study	study	NOUN
iajs-1841	138	5	of	of	ADP
iajs-1841	138	6	ridge	ridge	PROPN
iajs-1841	138	7	and	and	CCONJ
iajs-1841	138	8	other	other	ADJ
iajs-1841	138	9	regression	regression	NOUN
iajs-1841	138	10	estimators	estimator	NOUN
iajs-1841	138	11	"	"	PUNCT
iajs-1841	138	12	,	,	PUNCT
iajs-1841	138	13	communications	communication	NOUN
iajs-1841	138	14	in	in	ADP
iajs-1841	138	15	statistics	statistic	NOUN
iajs-1841	138	16	theory	theory	NOUN
iajs-1841	138	17	and	and	CCONJ
iajs-1841	138	18	methods	method	NOUN
iajs-1841	138	19	.1177	.1177	PROPN
iajs-1841	138	20	-	-	PROPN
iajs-1841	138	21	1182	1182	NUM
iajs-1841	138	22	.	.	PUNCT
iajs-1841	139	1	2005	2005	NUM
iajs-1841	140	1	[	[	X
iajs-1841	140	2	5	5	NUM
iajs-1841	140	3	]	]	X
iajs-1841	140	4	m.s	m.s	PROPN
iajs-1841	140	5	srivastava	srivastava	PROPN
iajs-1841	140	6	.	.	PUNCT
iajs-1841	141	1	"	"	PUNCT
iajs-1841	141	2	methods	method	NOUN
iajs-1841	141	3	of	of	ADP
iajs-1841	141	4	multivariate	multivariate	NOUN
iajs-1841	141	5	statistics	statistic	NOUN
iajs-1841	141	6	"	"	PUNCT
iajs-1841	141	7	,	,	PUNCT
iajs-1841	141	8	wiley	wiley	PROPN
iajs-1841	141	9	,	,	PUNCT
iajs-1841	141	10	new	new	PROPN
iajs-1841	141	11	york	york	PROPN
iajs-1841	141	12	.	.	PUNCT
iajs-1841	141	13	2002	2002	NUM
iajs-1841	142	1	[	[	X
iajs-1841	142	2	6	6	NUM
iajs-1841	142	3	]	]	X
iajs-1841	142	4	h.m	h.m	PROPN
iajs-1841	142	5	.	.	PROPN
iajs-1841	142	6	gorgees	gorgee	NOUN
iajs-1841	142	7	,	,	PUNCT
iajs-1841	142	8	and	and	CCONJ
iajs-1841	142	9	f.	f.	PROPN
iajs-1841	142	10	a.	a.	PROPN
iajs-1841	142	11	mahdi	mahdi	PROPN
iajs-1841	142	12	,	,	PUNCT
iajs-1841	142	13	"	"	PUNCT
iajs-1841	142	14	an	an	DET
iajs-1841	142	15	alternative	alternative	ADJ
iajs-1841	142	16	approach	approach	NOUN
iajs-1841	142	17	for	for	ADP
iajs-1841	142	18	selecting	select	VERB
iajs-1841	142	19	ridge	ridge	NOUN
iajs-1841	142	20	parameter	parameter	NOUN
iajs-1841	142	21	for	for	ADP
iajs-1841	142	22	ordinary	ordinary	ADJ
iajs-1841	142	23	ridge	ridge	PROPN
iajs-1841	142	24	regression	regression	PROPN
iajs-1841	142	25	estimator	estimator	PROPN
iajs-1841	142	26	regression	regression	PROPN
iajs-1841	142	27	estimator	estimator	NOUN
iajs-1841	142	28	"	"	PUNCT
iajs-1841	142	29	,	,	PUNCT
iajs-1841	142	30	international	international	ADJ
iajs-1841	142	31	journal	journal	NOUN
iajs-1841	142	32	of	of	ADP
iajs-1841	142	33	science	science	NOUN
iajs-1841	142	34	and	and	CCONJ
iajs-1841	142	35	research	research	NOUN
iajs-1841	142	36	(	(	PUNCT
iajs-1841	142	37	ijsr	ijsr	NOUN
iajs-1841	142	38	)	)	PUNCT
iajs-1841	142	39	.	.	PUNCT
iajs-1841	143	1	2426	2426	NUM
iajs-1841	143	2	-	-	SYM
iajs-1841	143	3	2429	2429	NUM
iajs-1841	143	4	.	.	PUNCT
iajs-1841	144	1	2017	2017	NUM