Inference for Two-Way Table

Test for Homogeneity Hypothesis

H0: there is no difference in the true distribution fo a categorical variable in the population of interest

Ha: There is a difference in the distribution

Expected Counts for a Chi-Square test based on data in a two-way Table

expected counts = row total x column total / table total

Degrees of freedom

(number of rows - 1) x (number of columns - 1)

Test for Independence Hypotheses

H0: there is no association between the two categorical variables in the population of interest

Ha: There is an association between the two variables