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Optimum tests for bandom effects in unbalanced nested designs
Authors:
Ravindba Khattbee a;
D. N. Natk a
| Affiliation: | a statistics and Computer Research, BF Goodrich Chemical Group, Avon Lake, OH, U.S.A |
DOI:
10.1080/02331889008802237
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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(English)
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Abstract
In this article, an effort is made to derive some optimum tests for the random effects under unbalanced nested models with two factors. It is observed that UMPI tests do not exist. As the next best choice locally best invariant unbiased tests are obtained under certain assumptions on the number of replications.
AMS 1980 subject classifications: Primary 62A05, 62H15, secondary 62H10, 621315 |
| Keywords: Nested designs; random effect models; invariance; WIJSMAN'S representation theorem; locally best invariant unbiased tests |
| view references (9) : view citations |
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