Statistics > Chi-Square Tests: One Way and Two Way
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QuickNotes™  

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.