n x n Latin Square Design 1
Response var. : Effect of catalyst on the
reaction of a chemical process
Treatment : Five different catalysts (batches)
Block: Days
Obs BATCH DAY CATALYST REACTIME
1 1 1 A 8
2 1 2 B 7
3 1 3 D 1
4 1 4 C 7
5 1 5 E 3
6 2 1 C 11
7 2 2 E 2
8 2 3 A 7
9 2 4 D 3
10 2 5 B 8
11 3 1 B 4
12 3 2 A 9
13 3 3 C 10
14 3 4 E 1
15 3 5 D 5
16 4 1 D 6
17 4 2 C 8
18 4 3 E 6
19 4 4 B 6
20 4 5 A 10
21 5 1 E 4
22 5 2 D 2
23 5 3 B 3
24 5 4 A 8
25 5 5 C 8
n x n Latin Square Design 2
Response var. : Effect of catalyst on the
reaction of a chemical process
Treatment : Five different catalysts (batches)
Block: Days
------------------------------------------------------------------------
| | DAY |
| |---------------------------------------------------|
| | 1 | 2 | 3 | 4 |
| |------------+------------+------------+------------|
| | REACTIME | REACTIME | REACTIME | REACTIME |
| |------------+------------+------------+------------|
| | Y(IJ) | Y(IJ) | Y(IJ) | Y(IJ) |
|------------------+------------+------------+------------+------------|
|BATCH | | | | |
|------------------| | | | |
|1 | 8.00| 7.00| 1.00| 7.00|
|------------------+------------+------------+------------+------------|
|2 | 11.00| 2.00| 7.00| 3.00|
|------------------+------------+------------+------------+------------|
|3 | 4.00| 9.00| 10.00| 1.00|
|------------------+------------+------------+------------+------------|
|4 | 6.00| 8.00| 6.00| 6.00|
|------------------+------------+------------+------------+------------|
|5 | 4.00| 2.00| 3.00| 8.00|
------------------------------------------------------------------------
(Continued)
---------------------------------
| | DAY |
| |------------|
| | 5 |
| |------------|
| | REACTIME |
| |------------|
| | Y(IJ) |
|------------------+------------|
|BATCH | |
|------------------| |
|1 | 3.00|
|------------------+------------|
|2 | 8.00|
|------------------+------------|
|3 | 5.00|
|------------------+------------|
|4 | 10.00|
|------------------+------------|
|5 | 8.00|
---------------------------------
n x n Latin Square Design 3
Response var. : Effect of catalyst on the
reaction of a chemical process
Treatment : Five different catalysts (batches)
Block: Days
The ANOVA Procedure
Class Level Information
Class Levels Values
BATCH 5 1 2 3 4 5
DAY 5 1 2 3 4 5
CATALYST 5 A B C D E
Number of observations 25
n x n Latin Square Design 4
Response var. : Effect of catalyst on the
reaction of a chemical process
Treatment : Five different catalysts (batches)
Block: Days
The ANOVA Procedure
Dependent Variable: REACTIME
Sum of
Source DF Squares Mean Square F Value Pr > F
Model 12 169.1200000 14.0933333 4.51 0.0072
Error 12 37.5200000 3.1266667
Corrected Total 24 206.6400000
R-Square Coeff Var Root MSE REACTIME Mean
0.818428 30.07208 1.768238 5.880000
Source DF Anova SS Mean Square F Value Pr > F
BATCH 4 15.4400000 3.8600000 1.23 0.3476
DAY 4 12.2400000 3.0600000 0.98 0.4550
CATALYST 4 141.4400000 35.3600000 11.31 0.0005