4.1 ONE FACTOR RANDOMISED BLOCK 
BALANCED INCOMPLETE BLOCKS VARIANT Y = S'|A

Analysis of terms: S + A

Data:

S	A	Y
1	1	18
1	2	20
2	3	 7
2	4	 7
3	1	19
3	3	15
4	2	21
4	4	13
5	1	23
5	4	 9
6	2	32
6	3	20


Model 4.1(balanced incomplete blocks variant) 
A is a fixed factor, S is a random blocking factor:

                                         Model_2
  Source  DF  Seq SS  Adj SS Adj MS     F      P
1 S        5  372.00  180.33  36.07  4.01  0.141
2 A        3  185.00  185.00  61.67  6.85  0.074
3 S*A      3   27.00   27.00   9.00
4 P(S*A)   0       -       -
  Total   11  584.00

COMMENT: Uses adjusted SS for tests.


__________________________________________________________________

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/
http://www.soton.ac.uk/~cpd/anovas/datasets/Latin squares.htm