The Use of Sample Ranges in Setting Exact Confidence Bounds for the Standard Deviation of a Rectangular Population
作者:
H.Leon Barter,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1961)
卷期:
Volume 56,
issue 295
页码: 601-609
ISSN:0162-1459
年代: 1961
DOI:10.1080/01621459.1961.10480647
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A discussion is given of point estimates and interval estimates of the population standard deviation σ, based on the sample range and quasi-ranges. In the case of a rectangular population, the efficient point estimate and the most effective interval estimates are those based on the sample range, so it is not necessary to consider estimates based on sample quasi-ranges. The coefficients of the sample rangewin the exact confidence bounds for the population standard deviation σ are found by taking the reciprocals of percentage points of the (standardized) rangeW = w/σ. A six-decimal-place table of percentage points for the range corresponding to selected cumulative probabilities and sample sizes is presented. A second table shows coefficients of the sample range in exact lower confidence bounds.
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