2.1 TWO FACTOR NESTED MODEL Y = B(A) + e Analysis of yield response Y to Farm factor B nested in irrigation treatment A, declaring terms: A + B(A) Example data for Figure 4: A B Y Control 1 6.0000 Control 1 9.2085 Control 2 13.1147 Control 2 15.2654 Control 3 12.4188 Control 3 14.3951 Control 4 8.5986 Control 4 3.4945 Water 1 21.3220 Water 1 26.0000 Water 2 22.6600 Water 2 24.1283 Water 3 18.0000 Water 3 14.0000 Water 4 15.0000 Water 4 17.0000 Model 2.1(i) A is a fixed, B is a random factor: Source DF SS MS F P 1 A 1 357.35 357.35 10.03 0.019 2 B(A) 6 213.69 35.62 6.41 0.010 3 S(B(A)) 8 44.46 5.56 Total 15 615.50 COMMENT: With this model, the coding of Farm factor B describes four farms nested in the Control treatment and four (different) farms nested in the Water treatment. __________________________________________________________________ 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/