STAT 200 - Association Between Two Categorical Variables

STAT 200 - Association Between Two Categorical Variables

1. Do men and women differ in how they report their appearance in dating profiles?

   • Hypothesis Test
     • Numerical
       • Chi-square statistic
         • measures how different observed 2-way table is from a 2-way table with no relationship
         • Expected Count = Row Total * Column Total / Sample Size
         • df = (r-1)*(c-1)
           • expected counts must be at least 5
           • r = number of rows
           • c = number of columns
           • p-value
             • interpretation
               • the probability that we see a sample with a chi-square statistic of 8.15 or any value larger is 0.037
       • Example
         • 1. Hypotheses
           • 2. Chi-square statistic
             • 3. p-value using df
               • 4. Conclusion
     • Graphical
       • Categorical variable: Man/Women
       • Categorical variables: Very_Attractive/Attractive/Average/No_Answer

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