# stat_cff: Cuevas-Febrero-Fraiman statistic In funStatTest: Statistical Testing for Functional Data

 stat_cff R Documentation

## Cuevas-Febrero-Fraiman statistic

### Description

The Cuevas-Febrero-Fraiman statistics defined in Cuevas et al (2004) (and noted CFF in Smida et al 2022) is computed to compare two sets of functional trajectories.

### Usage

``````stat_cff(MatX, MatY)
``````

### Arguments

 `MatX` numeric matrix of dimension `⁠n_point x n⁠` containing `n` trajectories (in columns) of size `n_point` (in rows). `MatY` numeric matrix of dimension `⁠n_point x m⁠` containing `m` trajectories (in columns) of size `n_point` (in rows).

### Value

numeric value corresponding to the WMW statistic value

### Author(s)

Zaineb Smida, Ghislain DURIF, Lionel Cucala

### References

Cuevas, A, Febrero, M, and Fraiman, R (2004) An anova test for functional data. Computational Statistics & Data Analysis, 47(1): 111–122. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/j.csda.2003.10.021")}

Zaineb Smida, Lionel Cucala, Ali Gannoun & Ghislain Durif (2022) A median test for functional data, Journal of Nonparametric Statistics, 34:2, 520-553, \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1080/10485252.2022.2064997")}, hal-03658578

`comp_stat()`, `permut_pval()`

### Examples

``````simu_data <- simul_data(
n_point = 100, n_obs1 = 50, n_obs2 = 75, c_val = 10,
delta_shape = "constant", distrib = "normal"
)

MatX <- simu_data\$mat_sample1
MatY <- simu_data\$mat_sample2

stat_cff(MatX, MatY)
``````

funStatTest documentation built on May 29, 2024, 10:26 a.m.