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stat5044Exam3fall09v2sol

# stat5044Exam3fall09v2sol - STAT5044 Regression and ANOVA...

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STAT5044: Regression and ANOVA, Fall 2009 Exam 3 on Dec 5 Your Name: Please make sure to specify all of your notations in each problem GOOD LUCK! 1

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Problem# 1. A clinical trial was performed to test the efficacy of a particular drug prozac in treating depression. The drug was compared to a placebo control. A side effect of this drug may be an increase in suicidal behavior. Whether or not a subject had suicidal behavior was also recorded for the group taking the drug and the group taking the placebo. The results of the study are as follows: 100 out of 7100 people taking drug prozac had suicidal behavior, while 20 out of 3200 taking placebo had suicidal behavior. Suicidal Behavior? Treatments Yes No Total Drug 100 7000 7100 Placebo 0 3200 3200 (1e) Assume that the cell (2,1) is zero in 2 × 2 table given in (b). Estimate the odd ratio of suicidal behavior. Interpret it ( 100 + 0 . 5 )( 3200 + 0 . 5 ) ( 0 . 5 )( 7000 + 0 . 5 ) 2
Problem# 2. Consider the following model Y i = β 0 + β 1 X 1 i + β 2 X 2 i + β 3 X 2 2 i + σ g ( i ) ε i , i = 1 ,..., n where E ( ε i ) = 0, Var ( ε i ) = 1, Cov ( ε i , ε j ) = 0, and g ( i ) = i 2

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