Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/Functions_only.R

It computes the global p-value for a given value of the test statistic.

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`c` |
Observed value of the test statistic. |

`ck` |
Vector of thresholds defining the excursions sets with respect to which the ECs are computed. |

`type` |
Type of random field. The possible options are |

`k` |
If |

`k_vec` |
If |

`weights` |
If |

`ECdensities` |
See datails. |

`ECs` |
A vector or matrix containing the Euler characteristics (ECs) computed over a Monte Carlo simulation of the random field under the null model. Each colum correspond to the ECs obtained for each of the thresholds in |

If `type="Chi-bar^2"`

the degrees of freedom of the Chi-square random fields involved in the mixture, as well as the respective weights, have to be spefcified in the arguments `k_vec`

and `weights`

.
If the distribution of the random field is not available in `type`

, the user can specify in `ECdensities`

a function taking `c`

as argument and returning
the vector of the desired EC densities to be evaluated at `c`

. Notice that the length of the vector returned by the function specified in `ECdensities`

must corresponds to one plus the dimension of the search area (since the first value should correspond to the EC density of order zero (see `ECden_vec`

)).

`global_p ` |
Global p-value. |

`MCerror ` |
Monte Carlo error associated to the global p-vaue. |

Sara Algeri

S. Algeri and D.A. van Dyk. Testing one hypothesis multiple times: The multidimensional case. arXiv:1803.03858, submitted to the Journal of Computational and Graphical Statistics, 2018.

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