6.6 NESTED MODEL WITH REPEATED MEASURES ON A CROSS FACTOR Y = C|S'(B(A)) Analysis of terms: C|A + C|B(A) + S(B A) Data: 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 6.6(i) A and C are fixed factors, B is a random factor, S is a random subject: Restricted Unrestricted Source DF SS MS F P F P 1 A 2 905.27 452.63 8.09 0.062 8.09 0.062 2 B(A) 3 167.83 55.94 4.25 0.062 2.49 0.246* 3 S(B(A)) 6 78.89 13.15 - - 1.24 0.400 4 C 1 11.80 11.80 0.59 0.497 0.59 0.497 5 C*A 2 10.02 5.01 0.25 0.793 0.25 0.793 6 C*B(A) 3 59.74 19.91 1.88 0.234 1.88 0.234 7 C*S(B(A)) 6 63.58 10.60 - - - - 8 P(C*S(B(A)) 0 - - Total 23 1297.13 * Quasi F-ratio. Model 6.6(ii) A is a fixed factor, B and C are random factors, S is a random subject: Restricted Unrestricted Source DF SS MS F P F P 1 A 2 905.27 452.63 11.03 0.137* 11.03 0.137* 2 B(A) 3 167.83 55.94 2.49 0.246* 2.49 0.246* 3 S(B(A) 6 78.89 13.15 1.24 0.400 1.24 0.400 4 C 1 11.80 11.80 0.59 0.497 2.36 0.265 5 C*A 2 10.02 5.01 0.25 0.793 0.25 0.793 6 C*B(A) 3 59.74 19.91 1.88 0.234 1.88 0.234 7 C*S(B(A)) 6 63.58 10.60 - - - - 8 P(C*S(B(A)) 0 - - Total 23 1297.13 * Quasi F-ratio. Model 6.6(iii) A and B are random factors, C is a fixed factor, S is a random subject: Restricted Unrestricted Source DF SS MS F P F P 1 A 2 905.27 452.63 8.09 0.062 11.03 0.137* 2 B(A) 3 167.83 55.94 4.25 0.062 2.49 0.246* 3 S(B(A)) 6 78.89 13.15 - - 1.24 0.400 4 C 1 11.80 11.80 2.36 0.265 2.36 0.265 5 C*A 2 10.02 5.01 0.25 0.793 0.25 0.793 6 C*B(A) 3 59.74 19.91 1.88 0.234 1.88 0.234 7 C*S(B(A)) 6 63.58 10.60 - - - - 8 P(C*S(B(A)) 0 - - Total 23 1297.13 * Quasi F-ratio. Model 6.6(iv) A, B and C are random factors, S is a random subject: Source DF SS MS F P 1 A 2 905.27 452.63 11.03 0.137* 2 B(A) 3 167.83 55.94 2.49 0.246* 3 S(B(A)) 6 78.89 13.15 1.24 0.400 4 C 1 11.80 11.80 2.36 0.265 5 C*A 2 10.02 5.01 0.25 0.793 6 C*B(A) 3 59.74 19.91 1.88 0.234 7 C*S(B(A)) 6 63.58 10.60 - - 8 P(C*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/