cov_matrix: The variance-covariance matrix for a set of population...

In chrissy3815/exactLTRE: An Exact Method for Life Table Response Experiment (LTRE) Analysis

The variance-covariance matrix for a set of population projection matrices

Description

Calculate the variance-covariance matrix for the vital rates of a series of population projection matrices.

Usage

cov_matrix(Aobj)

Arguments

Aobj	A matrix where each row is the column-wise vectorization of a population projection matrix.

Details

The diagonal entries of the variance-covariance matrix give the variance of the entries in each index of the matrix. The off-diagonal entries of the variance-covariance matrix give the covariance of entries in each index of the matrix. The variance-covariance matrix is symmetrical, and the covariance of a given pair of vital rates is the sum of the two corresponding indices.

Value

The variance-covariance matrix for the vital rates of the population projection matrices. If the dimensions of each matrix in Aobj are n-by-n, then the variance-covariance matrix will have dimensions n^2-by-n^2.

Examples

A1<- matrix(data=c(0,0.8,0, 0,0,0.7, 5,0,0.2), nrow=3, ncol=3)
A2<- matrix(data=c(0,0.9,0, 0,0,0.5, 4,0,0.3), nrow=3, ncol=3)
A3<- matrix(data=c(0,0.4,0, 0,0,0.6, 6,0,0.25), nrow=3, ncol=3)
A_all<- collapse_mat_list(list(A1, A2, A3))
covmat<- cov_matrix(A_all)

chrissy3815/exactLTRE documentation built on July 1, 2023, 8:30 a.m.