Comment: Fuzzy and Randomized Confidence Intervals and P-Values
نویسندگان
چکیده
منابع مشابه
Comment: Fuzzy and Randomized Confidence Intervals and P -Values
Professor Geyer and Professor Meeden have given us an intriguing article with much material for thought and exploration, and they deserve our congratulations. Although the idea of randomized procedures has long existed, this paper has revitalized the discussion on randomized confidence intervals and randomized P -values. Interval estimation of a binomial proportion is a very basic but very impo...
متن کاملComment: Fuzzy and Randomized Confidence Intervals and P -Values
We thank Professor Geyer and Professor Meeden for their thought-provoking article. We hope to also be thought-provoking in response, for we pretty much disagree with their position. The fuzzy procedures proposed by the authors result from examining the test function, φ(x,α, θ) in three different ways, as a function of each of the three variables. This is an interesting exercise, which has not b...
متن کاملFuzzy and Randomized Confidence Intervals and P-values
The optimal hypothesis tests for the binomial distribution and some other discrete distributions are uniformly most powerful (UMP) one-tailed and UMP unbiased (UMPU) two-tailed randomized tests. Conventional confidence intervals are not dual to randomized tests and perform badly on discrete data at small and moderate sample sizes. We introduce a new confidence interval notion, called fuzzy conf...
متن کاملFuzzy Confidence Intervals and P -values
The optimal hypothesis tests for the binomial distribution and some other discrete distributions are uniformly most powerful (UMP) one-tailed and UMP unbiased (UMPU) two-tailed randomized tests. Conventional confidence intervals are not dual to randomized tests and perform badly on discrete data at small and moderate sample sizes. We introduce a new confidence interval notion, called fuzzy conf...
متن کاملComment: Randomized Confidence Intervals and the Mid-P Approach
We enjoyed reading the interesting, thought-provoking article by Geyer and Meeden. In our comments we will try to place their work in perspective relative to the original proposals for exact and randomized confidence intervals for the binomial parameter. We propose a fuzzy version of the original binomial randomized confidence interval, due to Stevens (1950). Our approach motivates an existing ...
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ژورنال
عنوان ژورنال: Statistical Science
سال: 2005
ISSN: 0883-4237
DOI: 10.1214/088342305000000386