Research Article

A computational approach test for comparing two linear regression models with unequal variances

Volume: 50 Number: 6 December 14, 2021
EN

A computational approach test for comparing two linear regression models with unequal variances

Abstract

In this study, a new testing procedure is proposed to compare two linear regression models based on a computational approach test when the variances are not assumed to be equal. This method is based on restricted maximum likelihood estimators and some simple computational steps. To assess performance of the proposed test, it was compared with some existing tests in terms of power and type I error rate of the test. The simulation study reveals that the proposed test is a better alternative than some existing tests in most considered cases. Besides, an illustration of the proposed test was given by using a sample dataset.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Publication Date

December 14, 2021

Submission Date

August 24, 2020

Acceptance Date

July 8, 2021

Published in Issue

Year 2021 Volume: 50 Number: 6

APA
Yazıcı, M., Gökpınar, F., Gökpınar, E., Ebegil, M., & Özdemir, Y. (2021). A computational approach test for comparing two linear regression models with unequal variances. Hacettepe Journal of Mathematics and Statistics, 50(6), 1756-1772. https://doi.org/10.15672/hujms.784623
AMA
1.Yazıcı M, Gökpınar F, Gökpınar E, Ebegil M, Özdemir Y. A computational approach test for comparing two linear regression models with unequal variances. Hacettepe Journal of Mathematics and Statistics. 2021;50(6):1756-1772. doi:10.15672/hujms.784623
Chicago
Yazıcı, Mehmet, Fikri Gökpınar, Esra Gökpınar, Meral Ebegil, and Yaprak Özdemir. 2021. “A Computational Approach Test for Comparing Two Linear Regression Models With Unequal Variances”. Hacettepe Journal of Mathematics and Statistics 50 (6): 1756-72. https://doi.org/10.15672/hujms.784623.
EndNote
Yazıcı M, Gökpınar F, Gökpınar E, Ebegil M, Özdemir Y (December 1, 2021) A computational approach test for comparing two linear regression models with unequal variances. Hacettepe Journal of Mathematics and Statistics 50 6 1756–1772.
IEEE
[1]M. Yazıcı, F. Gökpınar, E. Gökpınar, M. Ebegil, and Y. Özdemir, “A computational approach test for comparing two linear regression models with unequal variances”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 6, pp. 1756–1772, Dec. 2021, doi: 10.15672/hujms.784623.
ISNAD
Yazıcı, Mehmet - Gökpınar, Fikri - Gökpınar, Esra - Ebegil, Meral - Özdemir, Yaprak. “A Computational Approach Test for Comparing Two Linear Regression Models With Unequal Variances”. Hacettepe Journal of Mathematics and Statistics 50/6 (December 1, 2021): 1756-1772. https://doi.org/10.15672/hujms.784623.
JAMA
1.Yazıcı M, Gökpınar F, Gökpınar E, Ebegil M, Özdemir Y. A computational approach test for comparing two linear regression models with unequal variances. Hacettepe Journal of Mathematics and Statistics. 2021;50:1756–1772.
MLA
Yazıcı, Mehmet, et al. “A Computational Approach Test for Comparing Two Linear Regression Models With Unequal Variances”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 6, Dec. 2021, pp. 1756-72, doi:10.15672/hujms.784623.
Vancouver
1.Mehmet Yazıcı, Fikri Gökpınar, Esra Gökpınar, Meral Ebegil, Yaprak Özdemir. A computational approach test for comparing two linear regression models with unequal variances. Hacettepe Journal of Mathematics and Statistics. 2021 Dec. 1;50(6):1756-72. doi:10.15672/hujms.784623

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