# ass 2 - STAT 3504 Assignment #2 DUE: Wed. Jan. 27 1. Given...

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STAT 3504 Assignment #2 DUE: Wed. Jan. 27 1. Given that, by definition, SSTO = ) Y - Y ( 2 .. ij n j=1 r =1 i i and SSTR = ) Y - Y ( 2 .. i. n j=1 r =1 i i , prove that alternative (computational) forms of SSTO and SSTR are given by SSTO = n Y Y T 2 .. 2 ij n j=1 r =1 i - i and SSTR = n Y - n Y T 2 .. i 2 i. r =1 i 2. To be done by hand #7 on assign 1 cont.: In a study to determine whether students in B.A., B.Sc, and B.B.A. programs earn different amounts in summer jobs, a random sample of 5 students from each of these programs was asked to report what they earned the previous summer. The results (\$1000) are given below. Assume the fixed effects, single factor ANOVA model e m ij i ij + = Y is appropriate. Unit j factor level i 1 2 3 4 5 B.A. 3.3 2.5 4.6 5.4 3.9 B.Sc. 3.9 5.1 3.9 6.2 4.8 B.B.A. 4.0 6.2 6.3 5.9 6.4 a) In question #7 on Assignment 1 you found the following residuals and fitted values, and then plotted the residuals against the fitted values to look for possible assumption violations. Y

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## ass 2 - STAT 3504 Assignment #2 DUE: Wed. Jan. 27 1. Given...

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