polychoric_likelihood: Calculate Polychoric Correlation Likelihood

In exametrika: Test Theory Analysis and Biclustering

Calculate Polychoric Correlation Likelihood

Description

Calculates the negative log-likelihood for estimating polychoric correlation from a contingency table of two ordinal variables.

Usage

polychoric_likelihood(rho, mat)

Arguments

rho	Numeric value between -1 and 1, the correlation coefficient
mat	A contingency table matrix for two ordinal variables

Details

The function estimates thresholds from the marginal distributions and calculates the expected probabilities based on a bivariate normal distribution. It then computes the log-likelihood by comparing observed and expected frequencies.

Value

The negative log-likelihood value for the given correlation coefficient

exametrika documentation built on Aug. 21, 2025, 5:27 p.m.