h_quad_form: Quadratic Form Calculations

In mmrm: Mixed Models for Repeated Measures

Quadratic Form Calculations

Description

These helpers are mainly for easier readability and slightly better efficiency of the quadratic forms used in the Satterthwaite calculations.

Usage

h_quad_form_vec(vec, center)

h_quad_form_mat(mat, center)

Arguments

vec	(numeric) interpreted as a row vector.
center	(matrix) square numeric matrix with the same dimensions as x as the center of the quadratic form.
mat	(matrix) numeric matrix to be multiplied left and right of center, therefore needs to have as many columns as there are rows and columns in center.

Functions

• h_quad_form_vec(): calculates the number vec %*% center %*% t(vec) as a numeric (not a matrix).

• h_quad_form_mat(): calculates the quadratic form mat %*% center %*% t(mat) as a matrix, the result is square and has dimensions identical to the number of rows in mat.

mmrm documentation built on Oct. 7, 2024, 1:14 a.m.