Linear Plexing

We have fixed $\alpha$ as the maximum acceptable probability of commiting a type $I$ error. But associated with each normalized test of significance is $\gamma$ , the probability of commiting a type $I$ error.

Notice that as we make $\gamma$ smaller, the smaller the critical region becomes and thus the larger the value of the test statistic must be for the null hypothesis to be rejected.

Find $p$ , defined as the smallest $\gamma$ for which we can still reject $H_{0}$ .

Reject $H_{0}$ if $\alpha<p$ .

Title	Linear Plexing
Canonical name	LinearPlexing
Date of creation	2013-03-22 15:27:22
Last modified on	2013-03-22 15:27:22
Owner	cogent (10347)
Last modified by	cogent (10347)
Numerical id	4
Author	cogent (10347)
Entry type	Definition
Classification	msc 62J05