5.2 THREE FACTOR SPLIT PLOT MODEL (I) Y = C|P'(S'|B|A) Analysis of terms: S|B|A + C|B|A 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 5.2(i) A and B in plots (P) 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 - - 0.23 0.837* 2 A 2 905.27 452.63 29.48 0.002 29.48 0.002 3 B 1 0.19 0.19 0.01 0.916 0.01 0.916 4 B*A 2 167.65 83.82 5.46 0.055 5.46 0.055 5 S*A 2 28.49 14.24 - - - - 6 S*B 1 12.90 12.90 - - - - 7 S*B*A 2 35.37 17.68 - - - - 8 P(S*B*A) 0 - - - - - - 9 C 1 11.80 11.80 1.11 0.332 1.11 0.332 10 C*A 2 10.02 5.01 0.47 0.645 0.47 0.645 11 C*B 1 10.90 10.90 1.03 0.350 1.03 0.350 12 C*B*A 2 48.84 24.42 2.30 0.181 2.30 0.181 13 C*S 1 14.94 14.94 - - - - 14 C*S*A 2 17.18 8.59 - - - - 15 C*S*B 1 7.06 7.06 - - - - 16 C*S*B*A 2 24.39 12.20 - - - - 17 C*P(S*B*A) 0 - - - - - - 18 Q(C*P(S*B*A) 0 - - Total 23 1297.13 * Quasi F-ratio. __________________________________________________________________ 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/