A note on sample size determination for the estimation of the mean vector of a multivariate population

被引：0

作者：

Cui, Wen

Zhu, Feiqi

机构：

[1] Texas State Univ San Marcos, McCoy Coll Business Adm, Dept Comp Informat Syst & Quantitat Methods, San Marcos, TX 78666 USA

[2] IBM Corp, Syst & Technol Grp, Austin, TX 78758 USA

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2007年 / 36卷 / 08期

关键词：

Bonferroni inequality; correlation; sample size determination; sample size reduction;

D O I：

10.1080/03610920601125813

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：

In this article, we present a straightforward Bonferroni approach for determining sample size for estimating the mean vector of a multivariate population under two scenarios: (1) a pre-specified overall confidence level is desired; and (2) a pre-specified confidence level needs to be guaranteed for each individual variable. It is demonstrated that correlation between variables helps reduce the sample size. The formula to calculate the reduced sample size is derived. A binormal example is presented to illustrate the effect of correlation on sample size reduction for various values of the correlation coefficient.

引用

页码：1607 / 1610

页数：4

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