STAT 515 -- Review Sheet, material after Test 3 I. Inference for Categorical Data A. Analysis of One-Way Tables 1. Multinomial Data a. How is this an extension of binomial data? b. Characteristics of a multinomial experiment. 2. Arranging Cell Counts into a One-Way Table 3. Hypothesis Test about Multinomial Probabilities a. Null and alternative hypotheses b. How to find Test Statistic c. How do we decide whether to reject H_0? d. Finding critical value from chi-square table (Table VII) (d.f.?) e. Rule of Thumb for checking large-sample assumption f. Correct conclusion B. Analysis of Two-Way Tables 1. Arranging cell counts in Two-Way (Contingency) Table 2. Notation: Observed Cell Counts, Row Totals, Column Totals 3. Notation: Cell probabilities, marginal probabilities (row & column) 4. Finding expected cell counts under hypothesis of independence 5. Chi-square test for independence a. Null and alternative hypotheses b. How to find Test Statistic c. How do we decide whether to reject H_0? d. Finding critical value from chi-square table (Table VII) (d.f.?) e. Rule of Thumb for checking large-sample assumption f. Correct conclusion