Test for Equality of Intra-Subject Variabilities

the ratio = within-subject variance of treatment T / within-subject variance of treatment R

Ho: the ratio * ≥ δ * or the ratio * ≤ \frac{1}{δ}*

Ha: * ≤ \frac{1}{δ}* < the ratio < * δ*

1 | ```
ISV.Equivalence(alpha, beta, sigma1, sigma2, m, margin)
``` |

`alpha` |
significance level |

`beta` |
power = 1-beta |

`sigma1` |
within-subject variance of treatment 1 |

`sigma2` |
within-subject variance of treatment 2 |

`m` |
for each subject, there are m replicates. |

`margin` |
margin=delta, the true ratio of sigma1/sigma2 |

Chow SC, Shao J, Wang H. Sample Size Calculation in Clinical Research. New York: Marcel Dekker, 2003

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