Learning Objectives

Introduction to the chi-square statistic

14-1: Understand the main purpose of the chi-square statistic (c2).

14-2: Understand the main characteristics of the distribution of chi-square statistics.

14-3: Understand assumptions underlying the chi-square statistic.

Inferential statistic: Chi-square goodness-of-fit test

14-4: Describe research situation where the chi-square goodness-of-fit test would be conducted.

14-5: Understand what is implied by the null and alternative hypotheses in the goodness-of-fit test.

14.6: Calculate and interpret the degrees of freedom (df) and the chi-square goodness-of-fit test.:

14-7: Understand what conclusion can be drawn when the null hypothesis for the goodness-of-fit test is rejected.

14-8: Understand the steps in conducting the chi-square goodness-of-fit test change when the hypothesized proportions are unequal rather than equal.

An example from the research (two categorical variables):  Seeing red

14-9: Understand the purpose of a contingency table.

Inferential statistic: Chi-square test of independence

14-10: Understand the differences between the chi-square goodness-of-fit test and the chi-square test of independence.

14-11: Understand what is implied by the null and alternative hypotheses in the chi-square test of independence.

14-12: Calculate and interpret the degrees of freedom (df) and the chi-square test of independence.

Parametric and nonparametric statistical tests

14-13: Understand differences between parametric and nonparametric statistical tests.