P-Values for Two-Sided Tests
β Scribed by E. Olusegun George; Govind S. Mudholkar
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 235 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The problem of defining Pβvalues for twoβsided tests is considered when the null density f~0~ of the associated test statistic is strictly unimodal. It is argued that the usual practice of defining Pβvalues for twoβsided tests as twice the oneβtail Pβvalue is only justifable when f~0~ is symmetric. To accomodate testing problems with asymmetric null distributions a more general definition of twoβsided Pβvalue is given.
π SIMILAR VOLUMES
In a recent paper Ro Γ hmel and Mansmann (1999) discussed p-values for unconditional two-sample binomial tests of the one-sided type. Since uniformly smallest p-values do not exist, they considered undominated or, in their notation, acceptable p-values. Ro Γhmel and Mansmann showed that any pvalue i
This paper considered the relative merits of the P-value and the mid-P-value. It is shown that inference based onthe mid-P-value is in a certain sense on firmer ground. In particular the expected mid-P-value does not change under an irrelevant breakup in the test statistic.