Study Questions, Lecture 15

1. For the tests below, what is the name of the test statistic we use in each case, and how is it distributed? Be specific about whether it is exact or approximate.

goodness of fit

Chi-squared, approximately chi-squared

independence in a contingency table

Chi-squared, approximately chi-squared

2. What is the parent distribution for these tests?

"Multivariate Bernoulli trials"

3. What is the sampling distribution for the expected frequencies? What is the sampling distribution for the statistic we calculate?

Multinomial distribution

Chi-squared (approximate)