Comment: Fuzzy and Bayesian p-Values and u-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 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 کاملA comment on replication, p-values and evidence.
It is conventionally thought that a small p-value confers high credibility on the observed alternative hypothesis, and that a repetition of the same experiment will have a high probability of resulting again in statistical significance. It is shown that if the observed difference is the true one, the probability of repeating a statistically significant result, the 'replication probability', is ...
متن کاملFuzzy P-values in Latent Variable Problems
We consider the problem of testing a statistical hypothesis where the scientifically meaningful test statistic is a function of latent variables. In particular , we consider detection of genetic linkage, where the latent variables are patterns of inheritance at specific genome locations. Fuzzy p-values, introduced by Geyer & Meeden (2005) are random variables (described by their probability dis...
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ژورنال
عنوان ژورنال: Statistical Science
سال: 2005
ISSN: 0883-4237
DOI: 10.1214/088342305000000368