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

共 50 条

[31] Confidence Interval Estimation Following SPRT in a Normal Distribution with Equal Mean and Variance
Bhattaeharjee, Debanjan
Mukhopadhyay, Nitis
SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS, 2015, 34 (04): : 504 - 531
[32] An Elaboration on Sample Size Planning for Performing a One-Sample Sensitivity and Specificity Analysis by Basing on Calculations on a Specified 95% Confidence Interval Width
Bujang, Mohamad Adam
DIAGNOSTICS, 2023, 13 (08)
[33] Estimation of sample size for reference interval studies
Troendle, JF
Yu, KF
BIOMETRICAL JOURNAL, 2003, 45 (05) : 561 - 572
[34] Robust confidence interval for a ratio of standard deviations
Bonett, Douglas G.
APPLIED PSYCHOLOGICAL MEASUREMENT, 2006, 30 (05) : 432 - 439
[35] Estimation of a parameter and its exact confidence interval following sequential sample size reestimation trials
Yi, C
Yu, S
BIOMETRICS, 2004, 60 (04) : 910 - 918
[36] A simulation study on some confidence intervals for the population standard deviation
Abu-Shawiesh, Moustafa Omar Ahmed
Banik, Shipra
Kibria, B. M. Golam
SORT-STATISTICS AND OPERATIONS RESEARCH TRANSACTIONS, 2011, 35 (02) : 83 - 101
[37] Admissibility of the usual confidence interval for the normal mean
Kabaila, Paul
STATISTICS & PROBABILITY LETTERS, 2011, 81 (03) : 352 - 359
[38] Sample size requirements for multiple regression interval estimation
Bonett, Douglas G.
Wright, Thomas A.
JOURNAL OF ORGANIZATIONAL BEHAVIOR, 2011, 32 (06) : 822 - 830
[39] Optimal sample size for estimating the proportion of transgenic plants using the Dorfman model with a random confidence interval
Antonio Montesinos-Lopez, Osval
Montesinos-Lopez, Abelardo
Crossa, Jose
Eskridge, Kent
Saenz, Ricardo A.
SEED SCIENCE RESEARCH, 2011, 21 (03) : 235 - 245
[40] Revisiting sample size planning for receiver operating characteristic studies: A confidence interval approach with precision and assurance
Shu, Di
Zou, Guangyong
STATISTICAL METHODS IN MEDICAL RESEARCH, 2023, 32 (04) : 748 - 759

← 1 2 3 4 5 →