Permutation-Based Multivariate Chi-Square Test: A Case Study

In applied fields, practitioners frequently encounter situations involving multiple ordinal outcomes, which are shaped by intricate and interdependent factors. To assess the influence of an independent variable on multiple dependent variables, multivariate independence tests are essential. Although the Chi-Square test is a widely used method for evaluating the independence between two categorical variables, this study extends it to the multivariate setting using a permutation-based approach within the NonParametric Combination (NPC) framework. The proposed methodology is employed in a consumer study that investigates how user type impacts product evaluations over time, providing a more nuanced understanding of the underlying relationships among the variables.