A REVIEW OF THE BEHRENS-FISHER PROBLEM AND SOME OF ITS ANALOGS: DOES THE SAME SIZE FIT ALL?

被引：0

作者：

Paul, Sudhir ^{[1
]}

Wang, You-Gan ^{[2
]}

Ullah, Insha ^{[2
]}

机构：

[1] Univ Windsor, Dept Math & Stat, Windsor, ON, Canada

[2] Queensland Univ Technol, Sch Math Sci, Brisbane, Qld, Australia

来源：

REVSTAT-STATISTICAL JOURNAL | 2019年 / 17卷 / 04期

基金：

加拿大自然科学与工程研究理事会; 澳大利亚研究理事会;

关键词：

the Behrens-Fisher problem; the beta-binomial model; the negative binomial model; the Weibull model; WILCOXON-MANN-WHITNEY; PROPORTIONS; REGRESSION; DIFFERENCE; VARIANCE; TESTS;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The traditional Behrens-Fisher (B-F) problem is to test the equality of the means mu(1) and mu(2) of two normal populations using two independent samples, when the quotient of the population variances is unknown. Welch [43] developed a frequentist approximate solution using a fractional number of degrees of freedom t-distribution. We make a a comprehensive review of the existing procedures, propose new procedures, evaluate these for size and power, and make recommendation for the B-F and its analogous problems for non-normal populations. On the other hand, we investigate and answer a question: does the same size fit all all, i.e. is the t-test with Welch's degree of freedom correction robust enough for the B-F problem analogs, and what sample size is appropriate to use a normal approximation to the Welch statistic.

引用

页码：563 / 597

页数：35

共 46 条

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