The Annals of Statistics
- Ann. Statist.
- Volume 26, Number 4 (1998), 1411-1433.
Maximin clusters for near-replicate regression lack of fit tests
To assess the adequacy of a nonreplicated linear regression model, Christensen introduced the concepts of orthogonal between- and within-cluster lack of fit with corresponding optimal tests. However, the properties of these tests depend on the choice of near-replicate clusters. In this paper, a graph theoretic framework is presented to represent candidate clusterings. A clustering is then selected according to a proposed maximin power criterion from among the clusterings consistent with a specified graph on the predictor settings. Examples are given to illustrate the methodology.
Ann. Statist., Volume 26, Number 4 (1998), 1411-1433.
First available in Project Euclid: 21 June 2002
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Miller, Forrest R.; Neill, James W.; Sherfey, Brian W. Maximin clusters for near-replicate regression lack of fit tests. Ann. Statist. 26 (1998), no. 4, 1411--1433. doi:10.1214/aos/1024691249. https://projecteuclid.org/euclid.aos/1024691249