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.