Chapter 13CATEGORICAL DATA
This chapter covers some basic methods for analyzing categorical data. The simplest case is where there are only two categories, which are usually called success and failure. Assuming random sampling, such situations can be analyzed using the binomial distribution, which was introduced in Chapter 4. Contingency tables, also introduced in Chapter 4, refer to situations where there are two or more categories. The main goal here is to describe some additional methods for analyzing such data.
There are many methods for analyzing categorical data beyond those covered in this chapter (e.g., Agresti, 1990, 1996; Andersen, 1997; Lloyd, 1996; & Powers & Xie, 1999; Simonoff, 2003; Agresti, 1990; Fienberg, 1980). The focus here is on the more basic techniques that might be used.
13.1 One-Way Contingency Tables
A one-way contingency table represents a situation where each participant can be classified into one of
mutually exclusive categories. The probabilities associated with these
categories are denoted by
. The immediate goal is to test
the hypothesis that ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access