Chi-square goodness of fit test and chi-square test of association


Description: These tests allow researchers to test hypotheses involving categorical (nominal or ordinal) variables. The chi-square goodness of fit test is used when you have a single categorical variable & your aim is to test whether the (category) proportions observed in your data are significantly different from a set of hypothesized proportions. The null hypothesis for this test is that there is no difference between the proportions observed in your data and those that were hypothesized. The chi-square test of association, on the other hand, is carried out when you have two categorical variables and aim is to test whether there is a significant relationship between the variables. The null hypothesis is tested by determining if there is a significant difference between cell proportions that are observed in the data and the proportions one would expect if there is no relationship between the two variables.

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Chi square goodness of fit tests using SPSS (April 2020): video , Powerpoint, SPSS data file, Excel file for supplemental analyses

Chi-square test of association using SPSS: Analysis of GSS data (April, 2020): video ,Powerpoint, SPSS data , supplemental Excel file

-The Powerpoint demonstrates the rudiments of performing the chi-square test of association in SPSS. However, it also addresses:

a) Interpretation of statistically significant results from the Pearson chi-square test,

b) Judgments concerning effect size using Cohen's ω & Cramer's V,

c) Post hoc tests (i.e., testing differences in column proportions within levels of a row variable),

c) Appendix B: Provides a short discussion of follow-up analyses using Kendall's tau-b when your variables are ordinal.

Analysis of categorical data in SPSS (April 2020): Analysis of summary data using frequency weights (April 2020): video, Powerpoint

Chi-square test of association using Stata: video, Stata data file, Powerpoint