Consider the following Minitab output from a single replicate of a 24 experiment in two blocks with ABCD confounded.

(a) Comment on the value of blocking in this experiment.

(b) What effects were used to generate the residual error in the ANOVA?

(c) Calculate the entries marked with “?” in the output.

Transcribed Image Text:

Factorial Fit: y versus Block, A, B, C, D Estimated Effects and Coefficients for y (coded units) Term Effect Coef SE Coef T P Constant 579.33 9.928 58.35 0.000 Block 105.68 9.928 10.64 0.000 A -15.41 -7.70 9.928 -0.78 0.481 B 2.95 1.47 9.928 0.15 0.889 C 15.92 7.96 9.928 0.80 0.468 D -37.87 -18.94 9.928 -1.91 0.129 A*B -8.16 -4.08 9.928 -0.41 0.702 A*C 5.91 2.95 9.928 0.30 0.781 A*D 30.28 ? 9.928 ? 0.202 B*C 20.43 10.21 9.928 1.03 0.362 B*D -17.11 -8.55 9.928 -0.86 0.437 C*D 4.41 2.21 9.928 0.22 0.835 S = 39.7131 R-Sq 96.84% R-Sq (adj) 88.16%