STAT 516 -- FINAL EXAM REVIEW SHEET (The final exam will be ROUGHLY 65 or 70% new material and 30 or 35% from Exam 1 and Exam 2 material. Also study the review sheets for Exams 1 and 2.) POST-TEST 2 MATERIAL: I. Concluding Concepts about Two-Factor Factorial Analyses A. Specific Comparisons among Factor Level Combinations 1. Preplanned Comparisons and Contrasts 2. How are contrasts specified when there is significant interaction? 3. Interpreting t-tests about contrasts B. Post-Hoc Multiple Comparisons 1. What do multiple comparison procedures test for in the two-factor situation? 2. Fisher LSD procedure and Tukey procedure C. Additional Considerations 1. No replication (one observation per cell) 2. Lack of an estimate for sigma^2 3. How does assuming no interaction help us here? 4. Higher-order interactions with three or more factors 5. Why might we want to assume the higher-order interaction does not exist? II. Design Of Experiments A. Purpose of Designing Experiments 1. Disadvantage of factorial design 2. Reliability of an experiment 3. Experimental error variation 4. Why should we reduce experimental error? B. Randomized Block Design 1. Purpose of blocks 2. Examples of block designs 3. Linear model for RBD 4. Random block effects 5. Treatment-block interaction 6. Expected MS in RBD 7. Testing for treatment effect 8. Testing for variation among blocks C. Randomized Block Design with Sampling 1. Replication within treatment-block combinations 2. Experimental error vs. Sampling error 3. Expected MS in RBD with Sampling 4. Appropriate denominators for various F statistics D. Latin Square Designs 1. Two blocking factors 2. Properties of Latin Square design 3. Number of levels of each factor 4. Linear model for Latin Square design 5. Advantage of Latin Square 6. Disadvantage of Latin Square III. Other Linear Models A. General Linear Model Concept B. Dummy Variables 1. Linear Model for One-Way ANOVA using dummy variables 2. Extra restriction on parameters C. Unbalanced Data 1. Adjusted means (Least Squares Means) 2. Why must we adjust our marginal means? 3. Type I vs. Type III SS D. Analysis of Covariance Models 1. Type of data for which ANCOVA is suitable 2. Combining one-way ANOVA and SLR 3. Covariate's connection with blocking 4. Testing for covariate's effect 5. Testing for factor's effect 6. Interpreting coefficient for covariate 7. Using more than one covariate 8. Unequal-slopes ANCOVA model 9. How to test whether we need unequal slopes? E. Logistic Regression 1. Binary response variables 2. Disadvantage of standard SLR model 3. Form of logistic regression model 4. What does E{Y|X} represent? 5. Shape of logistic curve and role of beta_1 6. Odds, log odds, and logit transformation 7. Maximum likelihood estimation 8. R analysis: glm function 9. Odds ratio and its interpretation 10. Hosmer-Lemeshow test 11. Testing whether X is significant in logistic regression model