Chi-Squared Goodness of Fit Tests with Applications

Preface

Many parametric models, possessing different characteristics, shapes, and properties, have been proposed in the literature. These models are commonly used to develop parametric inferential methods. The inference developed and conclusions drawn based on these methods, however, will critically depend on the specific parametric model assumed for the analysis of the observed data. For this reason, several model validation techniques and goodness of fit tests have been developed over the years.

The oldest and perhaps the most commonly used one among these is the chi-squared goodness of fit test proposed by Karl Pearson over a century ago. Since then, many modifications, extensions, and generalizations of this methodology have been discussed ...