Transcription of Type I and II sums of squares - Home - Dept. of Statistics ...
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Type I and II sums of squares - Home - Dept. of Statistics ...
Type I and II sums of squaresAt least four types of sums of squares will discuss two of these, the so calledTypeIandType IIsums of squares . The differencebetween the two is explained I sums of squaresThese are also calledsequential sums of is one sum of squares (SS) for each vari-able in one s linear model. These are given inSPSS in the form of an ANOVA SS is the amount SSR goes up when thevariable in a given line is added to a modelcontaining all variables on previous lines butno our reduction method notation, the SSon the first line isSSR( 1), the SS on thesecond line isSSR( 2| 1), the SS on the thirdline isSSR( 3| 1, 2), and so : TheF-statistic for a given line tests thehypothesis that the variable on that line isnot needed in a model with thepreviousvariables. The Type I sums of squares add up to SSR,the regression sum of squares for the modelcontaining all the independent variables.
A method for choosing polynomial degree 1. Choose a maximum degree for the polyno-mial model. Only in rare cases would you choose the maximum larger than 10.
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