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14nov2011

# 14nov2011 - CR Long C532 Regression Modeling 14 Nov 2011...

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CR Long C532: Regression Modeling 14 Nov 2011 1 Learning Objectives 1. Use the SPSS general linear model procedure to analyze data under the ANCOVA model 2. Reporting standards for ANCOVA Assessing assumption that the relationship between Y and X (the covariate) is parallel between treatment groups: add an interaction term between y and x to the model. ANOVA Table for ANCOVA: Source of variation df SS MS Test-statistic Covariate 1 SS x SS x MS x / MS error Between group k-1 SS BG|x SS B|x /(k-1) MS BG|x / MS error (adjusted for covariate) Covariate*group 1*(k-1) SS interaction SS int /(k-1) MS interaction / MS error Error (adjusted) n-k-1-(k-1) SS error SS error /(n-k-1) Total n-1 SS Total 1. ANOVA model represented as a multiple linear regression model i j i j i i i X X X Y ) 1 ( ) 1 ( 2 2 1 1 0 ... , where 1 X , 2 X ,…, 1 j X represent j- 1 new dummy variables defining the explanatory variable that is the nominal categorical treatment group variable with

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14nov2011 - CR Long C532 Regression Modeling 14 Nov 2011...

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