Some Small-Sample Properties of the StudenttConfidence Intervals
作者:
David Berengut,
期刊:
The American Statistician
(Taylor Available online 1981)
卷期:
Volume 35,
issue 3
页码: 144-147
ISSN:0003-1305
年代: 1981
DOI:10.1080/00031305.1981.10479333
出版商: Taylor & Francis Group
关键词: Studenttconfidence interval;Width of confidence interval;Extreme order statistics;Confidence interval for mean
数据来源: Taylor
摘要:
For the two-sided Studenttconfidence interval for the mean of a normal distribution there is, for any sample size, a sufficiently large confidence level that ensures that the interval covers all the observations; there are also sufficiently small confidence levels guaranteeing, respectively, that (a) the interval does not cover all the observations and (b) the interval lies within the extreme observations. Necessary and sufficient conditions are also obtained for the width of the confidence interval to always exceed the sample range, as well as for the reverse inequality. Some implications of the results are discussed.
点击下载:
PDF (379KB)
返 回