Chapter 13

Analysis of Categorical Data

The focus of this chapter is on the development of chi-square goodness-of-fit tests used as nonparametric procedures.

The topics covered are:

• Chi-square goodness of fit tests to determine if the sample data come from some specified probability model
• The chi-square test of a hypothesis that the two factors cross-classifying a sample (count or frequency) data are independent
• Use of 2 × 2 and r × s contingency tables to test a hypothesis that the populations under investigation are homogeneous with respect to certain criteria

Learning Outcomes:

After studying this chapter, the reader will be able to

• Use the chi-square goodness of fit test to evaluate certain distributional assumptions.
• Test whether or not two classifications of a population are independent.