EXACT TESTS FOR VARIANCE-COMPONENTS IN UNBALANCED MIXED LINEAR-MODELS

被引：22

作者：

OFVERSTEN, J

机构：

[1] Agricultural Research Centre

来源：

BIOMETRICS | 1993年 / 49卷 / 01期

关键词：

EXACT TESTS; HYPOTHESIS TESTING; POWER OF EXACT TESTS; UNBALANCED MIXED MODELS; UNIQUENESS OF EXACT TESTS; VARIANCE COMPONENTS;

D O I：

10.2307/2532601

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A method for deriving exact tests for variance components in some unbalanced mixed linear models is presented. The derivation is based on a new kind of preliminary orthogonal transformation and a subsequent resampling procedure. The resulting tests are based on mutually independent sums of squares which, under the null hypothesis, are distributed as scalar multiples of chi-square variates. For balanced data, the tests are identical to the traditional F tests.

引用

页码：45 / 57

页数：13

共 15 条

[1]

Cochran W.G., 1957, EXPT DESIGN

[2]

Gentleman W. M., 1973, Journal of the Institute of Mathematics and Its Applications, V12, P329

[3]

HARVILLE DA, 1977, J AM STAT ASSOC, V72, P320, DOI 10.2307/2286796

[4] PROPERTIES OF MODEL-II-TYPE ANALYSIS OF VARIANCE TESTS, A - OPTIMUM NATURE OF THE F-TEST FOR MODEL-II IN THE BALANCED CASE [J].