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stat512prob8

# stat512prob8 - Statistics 512 Problem Set No 8 Due November...

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Statistics 512: Problem Set No. 8 Due November 6, 2009 1. For this problem, the idea is to demonstrate the similarity between regression with dummy variables and ANOVA. To do this run the SAS code stat512prob8.sas . (a) Compare the ANOVA table and parameter results from the GLM analysis and Param- eterization #1. What do the coeﬃcients associated with X 1 and X 2 (i.e. b 1 and b 2 ) estimate in terms of treatment means? What constraint system does this parameteriza- tion correspond to? (b) Compare the ANOVA table and parameter results from the GLM analysis and Param- eterization #2. What do the coeﬃcients associated with X 1 and X 2 (i.e. b 1 and b 2 ) estimate in terms of treatment means? What constraint system does this parameteriza- tion correspond to? (c) Calculate b 0 + b 1 and b 1 - b 2 for both the parameterizations and show that the answers are the same. What does these quantities estimate in terms of the treatment means (i.e. why are they the same)?

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stat512prob8 - Statistics 512 Problem Set No 8 Due November...

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