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Chi-Square Tests: One Way and Two Way

  • For a goodness of fit test, the degrees of freedom are ν = k − 1 where

  • k is the number of “groups.” This is always a right-tailed test.

  • For a test of independence, the degrees of freedom are ν = (R − 1)(C − 1) where R are the number of rows in the contingency table and C are the number of columns in the contingency table. The null hypothesis is always that the two attributes are independent.

  • For a test of homogeneity, the degrees of freedom are ν = (R − 1)(C −1) where R are the number of rows in the contingency table and C are the number of columns in the contingency table. The null hypothesis is always that the two or more populations are the same.

Chi-Square Tests: One Way and Two Way

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

Mathematics: AP Statistics