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://southampton.likn.co/~cpd/anovas/datasets/