Writer's choiceChi-Square Tests and Examples

Question

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 e-book; the Chi-Square Test, The Chi-Square Test: Often Used and More Often Misinterpreted, The Chi-Square Test of Independence, 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, 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 videos.

W2.D.Neighborhood.Group Homes Table.png

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.