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316529

Some Alternative Techniques for Improvements over Ordinary Least Squares: An Application of Biased Regression Estimators

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Last updated: 05 Jan 2025

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Abstract

Two specific alternatives of biased regression estimators; principal component and ridge regression have been examined and applied to a set of multicollinear consumption data with the purpose of curing the problems caused by the presence of multicollinearity. Comparisons of the empirical results obtained from the two biased estimators with those derived from least squares have shown that improvements over ordinary least. squares can be achieved when the alternative techniques are utilized in situations where severe multicollinearity is suspected. Comparisons of the parameter estimates of ridge and principal component regression and the use of some prediction error criteria has also shown that the RR with k=0.0104 should be used if one has to make a choice between RR and PCR.

DOI

10.21608/esju.1989.316529

Keywords

Multicollinearity, Biased Estimators, principal component regression, Ridge Regression, Variance Inflation Factors, Standardized Regression Coefficients

Authors

First Name

Mohamed

Last Name

Enany

MiddleName

A.S.A.

Affiliation

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Orcid

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Volume

33

Article Issue

1

Related Issue

43394

Issue Date

1989-06-01

Receive Date

2023-09-07

Publish Date

1989-06-01

Page Start

139

Page End

163

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316529.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316529

Order

9

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Some Alternative Techniques for Improvements over Ordinary Least Squares: An Application of Biased Regression Estimators

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Type

Article

Created At

28 Dec 2024