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ArticleOriginal scientific text

Title

Estimators and tests for variance components in cross nested orthogonal designs

Authors 1, 1, 2

Affiliations

  1. Department of Mathematics, Faculty of Science and Technology, New University of Lisbon, Monte da Caparica 2829-516 Caparica, Portugal
  2. Institute of Mathematics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland

Abstract

Explicit expressions of UMVUE for variance components are obtained for a class of models that include balanced cross nested random models. These estimators are used to derive tests for the nullity of variance components. Besides the usual F tests, generalized F tests will be introduced. The separation between both types of tests will be based on a general theorem that holds even for mixed models. It is shown how to estimate the p-value of generalized F tests.

Keywords

ENG
hypothesis testing, generalized F distribution, adaptative test, nested orthogonal designs

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Discussiones Mathematicae Probability and Statistics
2003/23/2
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Pages:
175-201
Main language of publication
English
Received
2003-10-17
Accepted
2003-12-17
Published
2003

DOI: 10.7151/dmps.1043

Exact and natural sciences