Categorical data analysis

Dandan Chen, Carolyn J. Anderson

Research output: Chapter in Book/Report/Conference proceedingChapter


Categorical data are common in educational and social science research; however, methods for its analysis are generally not covered in introductory statistics courses. This chapter overviews fundamental concepts and methods in categorical data analysis. It describes and illustrates the analysis of contingency tables given different sampling processes and distributions, estimation of probabilities, hypothesis testing, measures of associations, and tests of no association with nominal variables, as well as the test of linear association with ordinal variables. Three data sets illustrate fatal police shootings in the United States, clinical trials of the Moderna vaccine, and responses to General Social Survey questions.

Original languageEnglish (US)
Title of host publicationInternational Encyclopedia of Education
Subtitle of host publicationFourth Edition
Number of pages8
ISBN (Electronic)9780128186299
StatePublished - Jan 1 2022


  • Association
  • Chi-square tests
  • Hypothesis testing
  • Odds ratios

ASJC Scopus subject areas

  • General Social Sciences


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