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On robustness of tests for random effects in balanced nested designs
Author:
Ravindra Khattree a
| Affiliation: | a North Dakota State University, Fargo |
DOI:
10.1080/02331888908802141
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
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Abstract
In this note certain optimum and robustness properties of usual F test are derived, for balanced random and mixed effects nested models. The underlying distribution assumed is elliptically symmetric. WIJSMAN'S Representation theorem is applied as a tool. Attention is confined to the testing of random effects only.
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| Keywords: Nested designs; random effect models; mixed effect models; robustness; F-distribution; invariance; WIJSMAN'S representation theorem; elliptically symmetric distributions |
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