Open Access
June, 1989 Lack-of-Fit Tests Based on Near or Exact Replicates
Ronald Christensen
Ann. Statist. 17(2): 673-683 (June, 1989). DOI: 10.1214/aos/1176347133

Abstract

This article shows how to modify an approximate lack-of-fit test proposed by Neill and Johnson (1985) to obtain an exact $F$ test. The modified test is shown to be consistent and to yield uniformly most powerful invariant tests for two specific types of lack of fit. Pure types of lack of fit are (1) lack of fit that exists between clusters of near replicates and (2) lack of fit that is contained within clusters of near replicates. Lack of fit that is a mixture of these two types can be difficult or impossible to find depending on the nature of the mixture.

Citation

Download Citation

Ronald Christensen. "Lack-of-Fit Tests Based on Near or Exact Replicates." Ann. Statist. 17 (2) 673 - 683, June, 1989. https://doi.org/10.1214/aos/1176347133

Information

Published: June, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0675.62043
MathSciNet: MR994258
Digital Object Identifier: 10.1214/aos/1176347133

Subjects:
Primary: 62J05
Secondary: 62F03

Keywords: linear model , model adequacy , pure error , regression

Rights: Copyright © 1989 Institute of Mathematical Statistics

Vol.17 • No. 2 • June, 1989
Back to Top