Categorical Data Analysis

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Overview

  1. 11.1 Goodness of Fit Test
  2. 11.2 Tests for Independence and for Homogeneity of Proportions
  3. Chapter 11 Formulas and Vocabulary
  4. Chapter 11 Review Exercises
  5. Chapter 11 Quiz

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image Online Dating

The Pew Internet and American Life Project reports that about 16 million people, representing 11% of the American Internet-using public, have visited a dating Web site, and 37% of Internet users who are currently seeking partners have gone to a dating Web site.1 In this chapter, we apply the concepts and methodologies of categorical data analysis to investigate online dating. In Section 11.2, we examine the following questions:

  • When it comes to online dating, do men and women differ when it comes to reporting what kind of relationship they are in? In other words, do men and women report differently whether they are
    • in a committed relationship,
    • not in a committed relationship and not looking for a partner, or
    • not in a committed relationship, but looking for a partner?
  • Also, when it comes to online dating, do men and women differ when it comes to how they self-report their physical appearance? In other words, do men and women self-report differently whether they are
    • very attractive
    • attractive
    • average, or
    • “prefer not to answer”?

THE BIG PICTURE

Where we are coming from and where we are headed …

  • In Chapters 8–10, we learned how to perform inference for continuous variables.
  • Here, in Chapter 11, we learn how to perform hypothesis tests for multinomial data, an extension of the binomial distribution. These methods rely on the (chi-square) distribution, which we learned in Chapters 8 and 9.
  • In later chapters, we will learn about analysis of variance and regression, which rank among the most commonly used data analytic methods in the world.