Statistics and Probability
Material Type:
Community College / Lower Division, College / Upper Division
Ohio Open Ed Collaborative
  • Chi-square
  • Contingency Table
  • Independence
  • Tmm0102
  • License:
    Creative Commons Attribution Non-Commercial
    Media Formats:

    Education Standards

    Contingency Tables


    An association between two variables explains how one variable changes in response to changes in the other variable. A lack of association indicates that the two variables are independent of each other, meaning the chances of events of one variable are not affected by the occurrence or non-occurrence of events of the other variable. In this module we will learn about the different tools used for analyzing associations in two-variable categorical data sets.

    Learning Objectives:

    • Identify response and explanatory variables
    • Organize data into two-way tables
    • Study joint, marginal and conditional distributions and learn the relationship between them
    • Observed and expected frequencies, Chi-Square test statistic
    • Chi-Square test of independence – set up hypothesis, use technology to run the test and interpret P-value

    Textbook Material - 

    ·         Chapter 11.3 – Test of Independence – Pages 627 - 632

    Chapter Exercises

    Suggested Exercises – odds 86 - 100

    Please see Instructor Facing Content 

    Class Worksheet

    Insert worksheet here 

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    Insert lab here 

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    Key Terms