4.1 ONE FACTOR RANDOMISED BLOCK MODEL Y = S'|A Analysis of terms S + A Data: S A Y 1 1 -4.4297 2 1 4.7513 3 1 3.2971 4 1 -1.4606 1 2 4.8458 2 2 5.1163 3 2 6.0739 4 2 -1.9225 1 3 6.1542 2 3 10.4794 3 3 12.4438 4 3 9.2150 Model 4.1(i) A is a fixed factor, S is a random blocking factor: Model_1 Model_2 Source DF SS MS F P F P 1 S 3 74.25 24.75 - - 3.61 0.085 2 A 2 169.44 84.72 12.36 0.007 12.36 0.007 3 S*A 6 41.11 6.85 - - - - 4 P(S*A) 0 - - Total 11 284.80 Model 4.1(ii) A is a random factor, S is a random blocking factor: Model_1 Model_2 Source DF SS MS F P F P 1 S 3 74.25 24.75 3.61 0.085 3.61 0.085 2 A 2 169.44 84.72 12.36 0.007 12.36 0.007 3 S*A 6 41.11 6.85 - - - - 4 P(S*A) 0 - - Total 11 284.80 __________________________________________________________________ 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/