4.1 ONE FACTOR RANDOMISED BLOCK
YOUDEN SQUARE VARIANT Y = C|B|A

Analysis of terms: A + B + C

Layout:

     B1 B2 B3 B4
----------------
C1 | A1 A2 A3 A4
C2 | A2 A4 A1 A3
C3 | A3 A1 A4 A2



Data:

A	B	C	Y
1	1	1	15
2	2	1	 7
3	3	1	14
4	4	1	 8
2	1	2	17
3	2	2	 6
4	3	2	 8
1	4	2	 7
3	1	3	22
4	2	3	14
1	3	3	11
2	4	3	15


Model 4.1(Youden square variant) 

A and B are fixed factors, C is a random blocking factor:

                                         Model_2
  Source  DF  Seq SS  Adj SS Adj MS     F      P
1 A        3   30.00   21.00   7.00  1.00  0.500
2 B        3  141.00  141.00  47.00  6.71  0.076
3 C        2   78.00   78.00  39.00  5.57  0.098
4 Error    3   21.00   21.00   7.00
  Total   11  270.00

COMMENT: Uses an unrestricted model, and adjusted SS for tests.


A is a fixed factor, B and C are random blocking factors:

                                         Model_2
  Source  DF  Seq SS  Adj SS Adj MS     F      P
1 A        3   30.00   21.00   7.00  1.00  0.500
2 B        3  141.00  141.00  47.00  6.71  0.076
3 C        2   78.00   78.00  39.00  5.57  0.098
4 Error    3   21.00   21.00   7.00
  Total   11  270.00

COMMENT: Uses an unrestricted model, and 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