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:: Volume 27, Issue 1 (3-2023) ::
Andishe 2023, 27(1): 41-49 Back to browse issues page
The shortest confidence interval for the standard deviation and its test in the normal distribution
Nabaz Esmailzadeh , Khosrow Fazli *
University of Kurdistan
Abstract:   (651 Views)
In this article, based on a random sample from a normal distribution with unknown parameters, we obtain the shortest confidence interval for the standard deviation parameter using the sample standard deviation. We show that this confidence interval cannot be obtained by taking the square root of the endpoints of the shortest confidence interval for the variance given by Tate and Klett.  A table is provided to calculate the confidence interval for several sample sizes and three common confidence coefficients. Also, the power performance of the tests made based on the mentioned confidence intervals is considered.
Keywords: Confidence interval length, Standard deviation, Unbiased confidence interval.
Full-Text [PDF 848 kb]   (415 Downloads)    
Type of Study: Research | Subject: General
Received: 2022/10/29 | Accepted: 2023/03/1 | Published: 2023/03/10
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Esmailzadeh N, Fazli K. The shortest confidence interval for the standard deviation and its test in the normal distribution. Andishe 2023; 27 (1) :41-49
URL: http://andisheyeamari.irstat.ir/article-1-901-en.html


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Volume 27, Issue 1 (3-2023) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
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