# Conditional independence test for categorical data using Poisson log-linear model

## TL;DR

This paper introduces a method for testing conditional independence in categorical data using Poisson log-linear models, offering a faster alternative to traditional table-based approaches, with an accompanying R implementation.

## Contribution

The paper presents a novel, efficient approach for conditional independence testing with categorical data using Poisson log-linear models, including a practical R function.

## Key findings

- The proposed method accelerates conditional independence testing compared to traditional methods.
- Simulation studies demonstrate the efficiency and accuracy of the approach.
- The R implementation facilitates practical application in statistical analysis.

## Abstract

We demonstrate how to test for conditional independence of two variables with categorical data using Poisson log-linear models. The size of the conditioning set of variables can vary from 0 (simple independence) up to many variables. We also provide a function in R for performing the test. Instead of calculating all possible tables with for loop we perform the test using the log-linear models and thus speeding up the process. Time comparison simulation studies are presented.