Homework 4, Chapter 4: Hypothesis Testing in ANOVA - Prof. Howard Bondell, Assignments of Statistics

Download Homework 4, Chapter 4: Hypothesis Testing in ANOVA - Prof. Howard Bondell and more Assignments Statistics in PDF only on Docsity! ST 708, Fall 2008 Homework 4, due 10/7/08 Chapter 4, pages 149-159 • # 1. Do part (d). You have already done parts (a) – (c) in the previous homework. • # 3. Do parts (d), (e), and (f). You have already done parts (a) and (b) and started part (d) in the previous homework. Make sure to use the correct answer from the previous homework for the null hypothesis in part (d). • # 6. • # 10. You should complete #1 and #3 by hand. For #6 and #10, you may use SAS, but be sure to clearly describe where in the output you found the answers to each part. Additional Problem: 1. Consider the model with three predictors plus an intercept, where the resulting design matrix is full rank. Each of the following sets of hypotheses can be written in the form 0 :H K mβ′ = vs. :aH K mβ′ ≠ , with ( )r K k′ = . For each of them state K ′ , m , and k . a. 0 1 2: 2H β β= vs. 1 2: 2aH β β≠ . b. 0 1 2: 2 2H β β= = vs. 0: Not aH H . c. 0 :H The mean response when 1 0X = , 2 1X = , and 3 0X = is 5 vs. 0: Not aH H . For each of the following, state the null hypothesis that you would be testing, and what the full and reduced models would be. Also state K ′ , m , and k . d. ( )0 1 2 3, | ,R β β β β . e. ( )1 2 3 0, , |R β β β β . f. ( )1 2 3| ,R β β β .