Sample size and confidence interval for the standard deviation of a normal distribution

被引：0

作者：

Liu, Xiaofeng ^{[1
]}

机构：

[1] Univ South Carolina, Coll Educ, Dept Educ Studies, Columbia, SC 29208 USA

来源：

JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS | 2011年 / 14卷 / 02期

关键词：

sample size; confidence interval; variance estimate;

D O I：

10.1080/09720510.2011.10701553

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 width of the confidence interval for the standard deviation of a normal distribution is inherently a random variable. Its expectation and cumulative distribution function are related to sample size. Sample size can be chosen to attain a certain expected width in the confidence interval for the standard deviation. Alternatively, sample size can be selected to achieve a desired probability of having the width of the confidence interval smaller than a predetermined upper bound.

引用

页码：249 / 256

页数：8

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