Lack-of-fit Tests Based On Partial Sums of Residuals

Ronald Christensen and Yong Lin

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 13, 2862-2880

Abstract: To evaluate the validity of the mean function in generalized linear models, Su and Wei (1991) proposed a lack-of-fit test based on partial sums of residuals. They compute P values using an unusual bootstrapping simulation. However, the simulations can hardly be performed with more than a few predictor variables because it is prohibitively time consuming. We modify their test for linear models and propose another lack of fit test based on partial sums of residuals. We find the non normal limiting distributions for both tests thus enabling more direct calculation of P values. Finally, we examine how the nature of the simulation reduces the power of Su-Wei’s test.

Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/03610926.2013.844256

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