Chien-Pai Han

Document Type


Source Publication Title

Technical Report 199


The selection of variables in regression analysis is usually done by using preliminary tests. When it is doubtful whether the regression coefficients of a set of variables are equal to zero or not, one may use a significance test. When the test rejects the null hypothesis, the set of variables is retained in the model otherwise the set is deleted from the model. The preliminary test is usually an F test based on normal theory. This paper examines the robustness of the preliminary test in model selection by a Monte Carlo study.


Mathematics | Physical Sciences and Mathematics

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Mathematics Commons



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