A comparison of two-stage procedures for testing least-squares coefficients under heteroscedasticity.


TitleA comparison of two-stage procedures for testing least-squares coefficients under heteroscedasticity.
Publication TypeJournal Article
Year of Publication2011
AuthorsNg, Marie, and Wilcox Rand R.
JournalThe British journal of mathematical and statistical psychology
Volume64
IssuePt 2
Pagination244-58
Date Published2011 May
ISSN0007-1102
KeywordsHumans, Least-Squares Analysis, Mathematical Computing, Regression Analysis, Software
Abstract

This study explores the performance of several two-stage procedures for testing ordinary least-squares (OLS) coefficients under heteroscedasticity. A test of the usual homoscedasticity assumption is carried out in the first stage of the procedure. Subsequently, a test of the regression coefficients is chosen and performed in the second stage. Three recently developed methods for detecting heteroscedasticity are examined. In addition, three heteroscedastic robust tests of OLS coefficients are considered. A major finding is that performing a test of heteroscedasticity prior to applying a heteroscedastic robust test can lead to poor control over Type I errors.

DOI10.1348/000711010X508683
Alternate JournalBr J Math Stat Psychol