Description Usage Arguments Details Value References See Also Examples

The function computes the intersection-union z-test which forms the basis for the
sample size and power calculations in function `power.known.var`

.

1 | ```
mpe.z.test(X, Y, Sigma, conf.level = 0.975)
``` |

`X` |
matrix with observations of group 1 in rows |

`Y` |
matrix with obersvations of group 2 in rows |

`Sigma` |
known covariance matrix. |

`conf.level` |
confidence level of the interval. |

The function computes the intersection-union z-test which forms the basis for the
sample size and power calculations for continuous multiple co-primary
endpoints with known covariance as computed by function `power.known.var`

.
The implementation is based on the formulas given in the references below.

The null hypothesis reads *mu_Tk-mu_Ck <= 0* for
at least one *k in {1,...,K}* where Tk is treatment k,
Ck is control k and K is the number of co-primary endpoints (i.e. number of
columns of `X`

and `Y`

).

Object of class `"mpe.test"`

.

Sugimoto, T. and Sozu, T. and Hamasaki, T. (2012). A convenient formula for sample
size calculations in clinical trials with multiple co-primary continuous endpoints.
*Pharmaceut. Statist.*, **11**: 118-128. doi:10.1002/pst.505

Sozu, T. and Sugimoto, T. and Hamasaki, T. and Evans, S.R. (2015). *Sample
Size Determination in Clinical Trials with Multiple Endpoints*. Springer Briefs in
Statistics, ISBN 978-3-319-22005-5.

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