# Median of the p Value Under the Alternative Hypothesis

```@article{Bhattacharya2002MedianOT,
title={Median of the p Value Under the Alternative Hypothesis},
journal={The American Statistician},
year={2002},
volume={56},
pages={202 - 206}
}```
• Published 1 August 2002
• Mathematics
• The American Statistician
Due to absence of an universally acceptable magnitude of the Type I error in various fields, p values are used as a well-recognized tool in decision making in all areas of statistical practice. The distribution of p values under the null hypothesis is uniform. However, under the alternative hypothesis the distribution of the p values is skewed. The expected p value (EPV) has been proposed by authors to be used as a measure of the performance of the test. This article proposes the median of the…
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## References

SHOWING 1-10 OF 11 REFERENCES

• Mathematics
• 1999
Abstract p values are extensively reported in practical hypothesis testing situations. Although carefully studied by Dempster and Schatzoff, the stochastic aspect of p values is often neglected. In
Abstract The expected significance level (ESL) of a test, proposed by Dempster and Schatzoff (4) as a criterion for comparing sensitivities of competing test statistics, is defined as the expected
Abstract P values (or significance probabilities) have been used in place of hypothesis tests as a means of giving more information about the relationship between the data and the hypothesis than
• Mathematics
• 1996
Blyth and Staudte (1993, 1995a) introduced the notion of a level-α weight of evidence for an alternative to a hypothesis; it is an estimator of the ideal power function which gives for each
• Mathematics
• 1997
Abstract By estimating, rather than testing, hypotheses regarding the degree of dependence between the factors in 2 × 2 tables, the technical difficulties associated with small sample sizes are
• Mathematics
• 1965
Abstract After a brief motivating discussion, of approaches to significance tests in Section 1, the concept of expected significance level (esl) is defined and its basic properties are presented in
• Mathematics
• 1988
Isotonic Regression. Tests of Ordered Hypotheses: The Normal Means Case. Tests of Ordered Hypotheses: Generalizations of the Likelihood Ratio Tests and Other Procedures. Inferences about a Set of
• Mathematics
Biometrics
• 1997
Potential applications of the P-value distribution under the alternative hypothesis to the design, analysis, and interpretation of results of clinical trials are considered.

• 1986