5.3 THREE FACTOR SPLIT PLOT MODEL (II) Y = C|B|P'(S'|A) Analysis of terms: C|B|A + S|A Data: S A B C Y 1 1 1 1 -3.8558 2 1 1 1 4.4076 1 1 1 2 -4.1752 2 1 1 2 1.4913 1 1 2 1 5.9699 2 1 2 1 5.2141 1 1 2 2 9.1467 2 1 2 2 5.8209 1 2 1 1 9.4082 2 2 1 1 6.0296 1 2 1 2 15.3014 2 2 1 2 12.1900 1 2 2 1 6.9754 2 2 2 1 14.3012 1 2 2 2 10.4266 2 2 2 2 2.3707 1 3 1 1 19.1834 2 3 1 1 18.3855 1 3 1 2 23.3385 2 3 1 2 21.9134 1 3 2 1 16.4482 2 3 2 1 11.6765 1 3 2 2 17.9727 2 3 2 2 15.1760 Model 5.3(i) A in plots (P) and B and C in sub-plots (Q) are fixed factors, S is a random blocking factor: Restricted Unrestricted Source DF SS MS F P F P 1 S 1 2.14 2.14 - - 0.15 0.736 2 A 2 905.27 452.63 31.78 0.031 31.78 0.031 3 S*A 2 28.49 14.24 - - - - 4 P(S*A) 0 - - - - - - 5 B 1 0.19 0.19 0.02 0.905 0.02 0.905 6 B*A 2 167.65 83.82 6.75 0.016 6.75 0.016 7 C 1 11.80 11.80 0.95 0.355 0.95 0.355 8 C*A 2 10.02 5.01 0.40 0.680 0.40 0.680 9 C*B 1 10.90 10.90 0.88 0.373 0.88 0.373 10 C*B*A 2 48.84 24.42 1.97 0.196 1.97 0.196 11 B*S 1 12.90 12.90 - - - - 12 B*S*A 2 35.37 17.68 - - - - 13 B*P(S*A) 0 - - - - - - 14 C*S 1 14.94 14.94 - - - - 15 C*S*A 2 17.18 8.59 - - - - 16 C*P(S*A) 0 - - - - - - 17 C*B*S 1 7.06 7.06 - - - - 18 C*B*S*A 2 24.39 12.20 - - - - 19 C*B*P(S*A) 0 - - - - - - 20 Q(C*B*P(S*A) 0 - - Total 23 1297.13 __________________________________________________________________ Doncaster, C. P. & Davey, A. J. H. (2007) Analysis of Variance and Covariance: How to Choose and Construct Models for the Life Sciences. Cambridge: Cambridge University Press. http://www.southampton.ac.uk/~cpd/anovas/datasets/