Sample size needed to get given ratio of endpoints for confidence interval of standard deviation in a normal distribution

被引：3

作者：

Tarasinska, Joanna ^{[1
]}

机构：

[1] Univ Life Sci, Dept Appl Math & Comp Sci, Gleboka 28, PL-20612 Lublin, Poland

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 23期

关键词：

Confidence interval; Normal distribution; Sample size; Standard deviation;

D O I：

10.1080/03610926.2016.1271428

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：

Confidence interval (CI) for a standard deviation in a normal distribution, based on pivotal quantity with a Chi-square distribution, is considered. As a measure of CI quality, the ratio of its endpoints is taken. There are given formulas for sample sizes so that this ratio does not exceed a fixed value. Both equally tailed and minimum ratio of endpoint CIs are considered.

引用

页码：11480 / 11484

页数：5

共 26 条

[21] On the distribution of the ratio of mean to standard deviation in small samples from non-normal universes.
Rider, PR
BIOMETRIKA, 1929, 21 : 124 - 143
[22] Bayesian inference for the mean and standard deviation of a normal population when only the sample size, mean and range are observed
de Alba, E
Fernández-Durán, JJ
Gregorio-Domínguez, MM
JOURNAL OF APPLIED STATISTICS, 2006, 33 (01) : 89 - 99
[23] An Effective and Small Sample-Size Valid Confidence Interval for Isotonic Dose-Response Curves by Inverting a Partial Likelihood Ratio Test
Liao, J. G.
AMERICAN STATISTICIAN, 2024,
[24] Comparison of the ratio of the standard deviation of the R-R interval and the root mean squared successive differences (SD/rMSSD) to the low frequency-to-high frequency (LF/HF) ratio in a patient population and normal healthy controls
Sollers, John J., III
Buchanan, Tony W.
Mowrer, Samantha M.
Hill, LaBarron K.
Thayer, Julian F.
Biomedical Sciences Instrumentation, Vol 43, 2007, 43 : 158 - 163
[25] Appendix to a paper by Professor Tokishige Hojo. On the standard error of the median to a third approximation when the median is found from a sample of size n=2p+1, and the parent population is normal and of standard deviation sigma
Pearson, K
BIOMETRIKA, 1931, 23 : 361 - 363
[26] Estimating sample means and standard deviations from the log-normal distribution using medians and quartiles: evaluating reporting requirements for primary and secondary endpoints of meta-analyses in anesthesiologyMean and standard deviation from quartilesP.-F. Chen, F. DexterEstimation des moyennes d’échantillon et des écarts types par rapport à la distribution log-normale à l’aide de médianes et de quartiles : évaluation des exigences de déclaration pour les critères d’évaluation primaires et secondaires des méta-analyses en anesthésiologie
Pei-Fu Chen
Franklin Dexter
Canadian Journal of Anesthesia/Journal canadien d'anesthésie, 2025, 72 (4): : 633 - 643

← 1 2 3 →