mont4e_sm_ch14_sec06 - Section 14-6 14-26 a) BLOCK 1 1 1 1...

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14-33 Section 14-6 14-26 a) BLOCK A B C y 1 -1 -1 -1 221 1 1 1 -1 552 1 1 -1 1 406 1 -1 1 1 605 2 1 -1 -1 325 2 -1 1 -1 354 2 -1 -1 1 440 2 1 1 1 392 Term Effect Coef Constant 411.87 Block 34.12 factor_A 13.75 6.87 factor_B 127.75 63.87 factor_C 97.75 48.87 factor_A*factor_B -21.25 -10.63 factor_A*factor_C -137.25 -68.63 factor_B*factor_C -52.25 -26.13 Term Effect Coef StDev Coef T P Constant 411.87 19.94 20.65 0.002 Block 34.12 19.94 1.71 0.229 factor_A 13.75 6.87 19.94 0.34 0.763 factor_B 127.75 63.87 19.94 3.20 0.085 factor_C 97.75 48.87 19.94 2.45 0.134 factor_A*factor_C -137.25 -68.63 19.94 -3.44 0.075 Analysis of Variance for life Source DF Seq SS Adj SS Adj MS F P Blocks 1 9316 9316 9316 2.93 0.229 Main Effects 3 52128 52128 17376 5.46 0.159 2-Way Interactions 1 37675 37675 37675 11.84 0.075 Residual Error 2 6363 6363 3182 Total 7 105483 b) In this model with blocking there are no significant factors. 14-27 Design with 2 blocks Blocks A B C D Rep I 1 -1 -1 -1 -1 159 1 1 1 -1 -1 166 1 1 -1 1 -1 179 1 -1 1 1 -1 173 1 1 -1 -1 1 187 1 -1 1 -1 1 163 1 -1 -1 1 1 168 1 1 1 1 1 194 2 1 -1 -1 -1 168 2 -1 1 -1 -1 158 2 -1 -1 1 -1 175 2 1 1 1 -1 179 2 -1 -1 -1 1 164 2 1 1 -1 1 185 2 1 -1 1 1 197 2 -1 1 1 1 170 Term Effect Coef
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14-34 Constant 174.063 Block -0.438 A 15.625 7.813 B -1.125 -0.563 C 10.625 5.312 D 8.875 4.437 A*B -0.625 -0.313 A*C 0.125 0.062 A*D 8.875 4.437 B*C 0.375 0.188 B*D 0.125 0.063 C*D -3.125 -1.562 A*B*C -0.125 -0.062 A*B*D -0.875 -0.437 A*C*D 1.875 0.937 B*C*D 0.125 0.063 15 10 5 0 1 0 -1 Effect Normal Score CD ACD AD D C A Normal Probability Plot of the Effects (response is resp, Alpha = .10) A: A B: B C: C D: D Factors A, C, and D, and interactions AD, CD and ACD appear to be significant. Estimated Effects and Coefficients for resp (coded units) Term Effect Coef SE Coef T P Constant 174.063 0.2864 607.74 0.000 Block 0.438 0.2864 1.53 0.165 A 15.625 7.812 0.2864 27.28 0.000 C 10.625 5.313 0.2864 18.55 0.000 D 8.875 4.438 0.2864 15.49 0.000 A*D 8.875 4.437 0.2864 15.49 0.000 C*D -3.125 -1.563 0.2864 -5.46 0.001 A*C*D 1.875 0.937 0.2864 3.27 0.011 S = 1.14564 R-Sq = 99.51% R-Sq(adj) = 99.07% The main effects and interactions are all significant in a model that includes the factors listed above. The normal probability plot appears to support the assumption of normality.
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This note was uploaded on 10/12/2009 for the course IND E 315 taught by Professor Kailashkapur during the Spring '09 term at University of Washington.

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mont4e_sm_ch14_sec06 - Section 14-6 14-26 a) BLOCK 1 1 1 1...

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