Question

What does the chi-square statistic calculate in a contingency table analysis?

a) the sum of the expected frequencies for those who prefer Pepsi
b) the sum of the observed frequencies for those who prefer Pepsi
c) N / 2
d) All of the above

Answer 1

The chi-square statistic calculates the sum of the squared differences between the observed and expected frequencies in a contingency table analysis.

Step-by-step explanation:

The chi-square statistic calculates the sum of the squared differences between the observed and expected frequencies in a contingency table analysis. It measures how closely the observed frequencies match the expected frequencies under the assumption of independence between the variables being analyzed. The formula for calculating the chi-square statistic is (O-E)²/E, where O is the observed frequency and E is the expected frequency.