# hw8sol - STAT 4220 HW8 Solution 1 Problem 1 (a) The main...

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Unformatted text preview: STAT 4220 HW8 Solution 1 Problem 1 (a) The main effects are calculated as follows: ME ( OT ) = 1 4 ( 59 + 90 + 52 + 87 )- 1 4 ( 67 + 79 + 61 + 75 ) = 1 . 5 ME ( PC ) = 1 4 (- 67- 79 + 61 + 75- 59- 90 + 52 + 87 ) =- 5 ME ( ST ) = 1 4 (- 67 + 79- 61 + 75- 59 + 90- 52 + 87 ) = 23 (b) INT ( OT , ST ) = 1 4 ( 67- 79 + 61- 75- 59 + 90- 52 + 87 ) = 10 (c) INT ( OT , PC , ST ) = 1 4 (- 67 + 79 + 61- 75 + 59- 90- 52 + 87 ) = . 5 (d) The calculated effects in R agree with the hand calculations: > eff OT CP ST OT:CP OT:ST 1.500000e+00 -5.000000e+00 2.300000e+01 -4.115237e-15 1.000000e+01 CP:ST OT:CP:ST 1.500000e+00 5.000000e-01 1 (e) Using Method 1 generates the following plot:-1 1 OT 55 60 65 70 75 80 85 90 55 60 65 70 75 80 85 90 55 60 65 70 75 80 85 90-1 1-1 1 CP-1 1-1 1 ST-1 1 Interaction plot matrix for y (f) From the half-normal plot, we declare the ST main effect, and the OT ST interaction, and CP main effect to be significant....
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## This note was uploaded on 06/06/2011 for the course STAT 4220 taught by Professor Smith during the Spring '08 term at University of Georgia Athens.

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hw8sol - STAT 4220 HW8 Solution 1 Problem 1 (a) The main...

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