statistics: Statistics for functional data

In astamm/fdahotelling: Inference for Functional Data Analysis in R

Description

Compute various statistics for functional data using numerical integration when needed. A total of 7 statistics are available in the package and the user can even define its own statistic for use within the statistical test functions.

Usage

stat_hotelling(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

stat_L1(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

stat_L1_std(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

stat_L2(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

stat_L2_std(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

stat_Linf(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

stat_Linf_std(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

stat_all(x, y = NULL, mu = NULL, paired = FALSE, step_size = 0)

Arguments

x	Dataframe or matrix containing the data collected from 1st population.
y	Dataframe or matrix containing the data collected from 2nd population (default: NULL).
mu	True mean value (or difference between mean values) under the null hypothesis (default = 0).
paired	Is the input data paired? (default: FALSE).
step_size	The step size used to perform integral approximation via the method of rectangles (default: 0). When set to 0, it assumes that we are dealing with multivariate data rather than functional data and thus no integration is necessary.

Value

All stat_* functions return a named numeric vector of size 1 storing the value of the corresponding statistic except stat_all that outputs a vector of size 7 containing the values of all 7 statistics currently available in the fdahotelling package.

See Also

A detailed description of the individual statistics for functional data provided by the fdahotelling package can be found in the vignette Available statistics for functional data.

astamm/fdahotelling documentation built on May 10, 2019, 2:05 p.m.