n x m Latin Square Design 1
Response var. : Effect of catalyst on the
reaction of a chemical process
Obs BOLT CHEMICAL STRENGTH
1 1 1 73
2 2 1 68
3 3 1 74
4 4 1 71
5 5 1 67
6 1 2 73
7 2 2 67
8 3 2 75
9 4 2 72
10 5 2 70
11 1 3 75
12 2 3 68
13 3 3 78
14 4 3 73
15 5 3 68
16 1 4 73
17 2 4 71
18 3 4 75
19 4 4 75
20 5 4 69
n x m Latin Square Design 2
Response var. : Effect of catalyst on the
reaction of a chemical process
------------------------------------------------------------------------
| | BOLT |
| |---------------------------------------------------|
| | 1 | 2 | 3 | 4 |
| |------------+------------+------------+------------|
| | STRENGTH | STRENGTH | STRENGTH | STRENGTH |
| |------------+------------+------------+------------|
| | Y(IJ) | Y(IJ) | Y(IJ) | Y(IJ) |
|------------------+------------+------------+------------+------------|
|CHEMICAL | | | | |
|------------------| | | | |
|1 | 73.00| 68.00| 74.00| 71.00|
|------------------+------------+------------+------------+------------|
|2 | 73.00| 67.00| 75.00| 72.00|
|------------------+------------+------------+------------+------------|
|3 | 75.00| 68.00| 78.00| 73.00|
|------------------+------------+------------+------------+------------|
|4 | 73.00| 71.00| 75.00| 75.00|
------------------------------------------------------------------------
(Continued)
n x m Latin Square Design 3
Response var. : Effect of catalyst on the
reaction of a chemical process
---------------------------------
| | BOLT |
| |------------|
| | 5 |
| |------------|
| | STRENGTH |
| |------------|
| | Y(IJ) |
|------------------+------------|
|CHEMICAL | |
|------------------| |
|1 | 67.00|
|------------------+------------|
|2 | 70.00|
|------------------+------------|
|3 | 68.00|
|------------------+------------|
|4 | 69.00|
---------------------------------
n x m Latin Square Design 4
Response var. : Effect of catalyst on the
reaction of a chemical process
The ANOVA Procedure
Class Level Information
Class Levels Values
BOLT 5 1 2 3 4 5
CHEMICAL 4 1 2 3 4
Number of observations 20
n x m Latin Square Design 5
Response var. : Effect of catalyst on the
reaction of a chemical process
The ANOVA Procedure
Dependent Variable: STRENGTH
Sum of
Source DF Squares Mean Square F Value Pr > F
Model 7 169.9500000 24.2785714 13.36 <.0001
Error 12 21.8000000 1.8166667
Corrected Total 19 191.7500000
R-Square Coeff Var Root MSE STRENGTH Mean
0.886310 1.878520 1.347838 71.75000
Source DF Anova SS Mean Square F Value Pr > F
BOLT 4 157.0000000 39.2500000 21.61 <.0001
CHEMICAL 3 12.9500000 4.3166667 2.38 0.1211