Irfan Ahmed, PhD

A chi-square is a nonparametric test used to determine if there is a relationship between two categorical variables. Let.s take a simple example. Suppose a researcher brought male and female participants into the lab and asked them which color they prefer.blue or green. The researcher believes that color preference may be related to gender. Notice that both gender (male, female) and color preference (blue, green) are categorical variables. If there is a relationship between gender and color preference, we would expect that the proportion of men who prefer blue would be different than the proportion of women who prefer blue. In general, you have a relationship between two categorical variables when the distribution of people across the categories of the first variable changes across the different categories of the second variable. To determine if a relationship exists between gender and color preference, the chi-square test computes the distributions across the combination of your two ...