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The Correct Use of the Sample Mean Absolute Deviation in Confidence Intervals for a Normal Variate

 

作者: RichardG. Krutchkoff,  

 

期刊: Technometrics  (Taylor Available online 1966)
卷期: Volume 8, issue 4  

页码: 663-674

 

ISSN:0040-1706

 

年代: 1966

 

DOI:10.1080/00401706.1966.10490410

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

In short routine experiments involving small samples from a normal distribution, it is often found to be more convenient to use the sample mean absolute deviation (m) rather than the sample standard deviation (S) in forming confidence intervals. Approximate and exact methods for correctly usingmin confidence intervals are given. The expected lengths of the intervals usingmare then compared with the expected lengths of the intervals usingS. The results indicate that the increase in expected length usingmrather thanSis insignificant, whereas there is a decrease in expected length usingmwhen one can take an additional observation.

 

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