# 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 $$.

Title | Linear Plexing |
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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 |