Description Usage Arguments Value References See Also Examples

The function implements the Interval Wise Testing procedure for testing the center of symmetry of a functional population. Functional data are tested locally and unadjusted and adjusted p-value functions are provided. The unadjusted p-value function controls the point-wise error rate. The adjusted p-value function controls the interval-wise error rate.

1 |

`data` |
Either pointwise evaluations of the functional data set on a uniform grid, or a |

`mu` |
The center of symmetry under the null hypothesis. Three possibilities are available for |

`B` |
The number of iterations of the MC algorithm to evaluate the p-values of the permutation tests. The defualt is |

`dx` |
Used only if a |

`recycle` |
Flag used to decide whether the recycled version of the IWT should be used (see Pini and Vantini, 2017 for details). Default is |

`IWT1`

returns an object of `class`

"`IWT1`

".
An object of class "`IWT1`

" is a list containing at least the following components:

`test` |
String vector indicating the type of test performed. In this case equal to |

`mu` |
Evaluation on a grid of the center of symmetry under the null hypothesis (as entered by the user). |

`unadjusted_pval` |
Evaluation on a grid of the unadjusted p-value function. |

`pval_matrix` |
Matrix of dimensions |

`adjusted_pval` |
Evaluation on a grid of the adjusted p-value function. |

`data.eval` |
Evaluation on a grid of the functional data. |

A. Pini and S. Vantini (2017). The Interval Testing Procedure: Inference for Functional Data Controlling the Family Wise Error Rate on Intervals. Biometrics 73(3): 835–845.

Pini, A., & Vantini, S. (2017). Interval-wise testing for functional data. *Journal of Nonparametric Statistics*, 29(2), 407-424

See also `plot.IWT1`

and `IWTimage`

for plotting the results.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 | ```
# Importing the NASA temperatures data set
data(NASAtemp)
# Performing the IWT for one population
IWT.result <- IWT1(NASAtemp$paris,mu=4)
# Plotting the results of the IWT
plot(IWT.result,xrange=c(0,12),main='Paris temperatures')
# Plotting the p-value heatmap
IWTimage(IWT.result,abscissa.range=c(0,12))
# Selecting the significant components at 5% level
which(IWT.result$adjusted_pval < 0.05)
``` |

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