leg: Legendre polynomial matrix

In lme4breeding: Relationship-Based Mixed-Effects Models

Legendre polynomial matrix

Description

Legendre polynomials of order 'n' are created given a vector 'x' and normalized to lay between values u and v.

Usage

  leg(x,n=1,u=-1,v=1, intercept=TRUE, intercept1=FALSE)

Arguments

x	numeric vector to be used for the polynomial.
n	order of the Legendre polynomials.
u	lower bound for the polynomial.
v	upper bound for the polynomial.
intercept	a TRUE/FALSE value indicating if the intercept should be included.
intercept1	a TRUE/FALSE value indicating if the intercept should have value 1 (is multiplied by sqrt(2)).

Value

$S3

an Legendre polynomial matrix of order n.

Author(s)

Giovanny Covarrubias-Pazaran

References

Giovanny Covarrubias-Pazaran (2024). lme4breeding: enabling genetic evaluation in the age of genomic data. To be submitted to Bioinformatics.

Douglas Bates, Martin Maechler, Ben Bolker, Steve Walker (2015). Fitting Linear Mixed-Effects Models Using lme4. Journal of Statistical Software, 67(1), 1-48.

See Also

The core function of the package lmebreed

Examples

x <- sort(rep(1:3,100))



library(orthopolynom)
 leg(x, n=1)
 leg(x, n=2)

## see dataset data(DT_legendre) for a random regression modeling example

lme4breeding documentation built on June 8, 2025, 11:34 a.m.