discussion

Prior to beginning work on this discussion forum, read the Instructor Guidance for Week 2; Chapter 10 in the textbook; pages 109 to 120 in Chapter 7 of the Jarman (2013) e-book; the  Chi-Square Test (Links to an external site.) ,  The Chi-Square Test: Often Used and More Often Misinterpreted (Links to an external site.) ,  The Chi-Square Test of Independence (Links to an external site.) ,  How to Chi-Square Test (Links to an external site.) , and  How to Interpret Chi-Squared (Links to an external site.)  articles; watch the  Two-Way Tables: Against All Odds - Inside Statistics  (Links to an external site.) ,  Chi-Square Tests: Crash Course Statistics #29  (Links to an external site.) ,  Chi-Square Test for Association (Independence) | AP Statistics | Khan Academy  (Links to an external site.) , and  Chi-Square: Lecture 11 (Links to an external site.)  videos.

Table 10.6 (Tanner, 2016)

The purpose of this discussion is to allow you to consider how nonparametric tests are used and how two types of chi-square tests compare. To do this, you will need to explain statistical concepts and assess assumptions, limitations, and implications associated with statistical tests.

For your initial post,

· Describe the chi-square goodness-of-fit test. Explain what this test measures.

· Explain how the chi-square goodness-of-fit test is similar to and different from a simple frequency distribution.

· Describe the chi-square test of independence. Explain what this test measures and how it is similar to and different from the chi-square goodness-of-fit test.

· How do you know when to use one analysis over the other?

· Provide a real-world example in which either a goodness-of-fit test or a test of independence should be used.

Guided Response: Review your classmates’ posts and respond to at least two of them. Compare the real-world examples identified by two of your classmates with the one you selected and respond substantively. Do you agree or disagree with their analyses of which test should be used?