ANOVA UNDER UNEQUAL ERROR VARIANCES

被引：137

作者：

WEERAHANDI, S

机构：

[1] Bell Communications Research, Morristown

来源：

BIOMETRICS | 1995年 / 51卷 / 02期

关键词：

BEHRENS-FISHER PROBLEM; GENERALIZED P VALUES; SCHEFFES METHOD OF MULTIPLE COMPARISON; TESTING THE EQUALITY OF VARIANCES;

D O I：

10.2307/2532947

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

By taking a generalized approach to finding p values, the classical F-test of the one-way ANOVA is extended to the case of unequal error variances. The relationship of this result to other solutions in the literature is discussed. An exact test for comparing variances of a number of populations is also developed. Scheffe's procedure of multiple comparison is extended to the case of unequal variances. The possibility and the approach that one can take to extend the results to simple designs involving more than one factor are briefly discussed.

引用

页码：589 / 599

页数：11

共 19 条

[1]

Anderson VL., 1974, DESIGN EXPT REALISTI

[2]

BARNARD GA, 1984, APPL STAT-J ROY ST C, V33, P266

[3] THE FISHER-PITMAN PERMUTATION TEST - A NON-ROBUST ALTERNATIVE TO THE NORMAL THEORY F-TEST WHEN VARIANCES ARE HETEROGENEOUS [J].