2.1 TWO FACTOR NESTED MODEL Y = B(A) + e Analysis of terms: A + B(A) Data: A B Y 1 1 4.5924 1 1 -0.5488 1 1 6.1605 1 1 2.3374 1 2 5.1873 1 2 3.3579 1 2 6.3092 1 2 3.2831 2 1 7.3809 2 1 9.2085 2 1 13.1147 2 1 15.2654 2 2 12.4188 2 2 14.3951 2 2 8.5986 2 2 3.4945 3 1 21.3220 3 1 25.0426 3 1 22.6600 3 1 24.1283 3 2 16.5927 3 2 10.2129 3 2 9.8934 3 2 10.0203 Model 2.1(i) A is a fixed or random factor, B is a random factor: Source DF SS MS F P 1 A 2 745.36 372.68 4.02 0.142 2 B(A) 3 278.02 92.67 9.26 0.001 3 S(B(A)) 18 180.18 10.01 Total 23 1203.56 Model 2.1(ii) A is a covariate of the response, B is a random factor: Source DF SS MS F P 1 A 1 745.20 745.20 10.72 0.031 2 B(A) 4 278.18 69.55 6.95 0.001 3 S(B(A)) 18 180.18 10.01 Total 23 1203.56 __________________________________________________________________ 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/