7.1 TWO FACTOR CROSS FACTORED UNREPLICATED MODEL Y = B|A Analysis of terms: A + B Data: A B Y 1 1 -4.4297 1 2 4.7513 1 3 3.2971 1 4 -1.4606 2 1 4.8458 2 2 5.1163 2 3 6.0739 2 4 -1.9225 3 1 6.1542 3 2 10.4794 3 3 12.4438 3 4 9.2150 Model 7.1(i) A and B are fixed factors: Source DF SS MS F P 1 A 2 169.44 84.72 - - 2 B 3 74.25 24.75 - - 3 B*A 6 41.11 6.85 4 S(B*A) 0 - - Total 11 284.80 Model 7.1(ii) A is a fixed factor, B is a random factor: Restricted Unrestricted Source DF SS MS F P F P 1 A 2 169.44 84.72 12.36 0.007 12.36 0.007 2 B 3 74.25 24.75 - - 3.61 0.085 3 B*A 6 41.11 6.85 - - - - 4 S(B*A) 0 - - Total 11 284.80 Model 7.1(iii) A and B are random factors: Source DF SS MS F P 1 A 2 169.44 84.72 12.36 0.007 2 B 3 74.25 24.75 3.61 0.085 3 B*A 6 41.11 6.85 - - 4 S(B*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/