IWT1 | R Documentation |
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.
IWT1(data, mu = 0, B = 1000, dx = NULL, recycle = TRUE)
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.
# 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)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.