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Cuevas-Febrero-Fraiman statistic

stat_cff.Rd

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

References

Cuevas, A, Febrero, M, and Fraiman, R (2004) An anova test for functional data. Computational Statistics & Data Analysis, 47(1): 111–122. 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, doi:10.1080/10485252.2022.2064997 , hal-03658578

See also

comp_stat(), permut_pval()

Author

Zaineb Smida, Ghislain DURIF, Lionel Cucala

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)
#> [1] 503849.8