Analysis Using SAS 

The analysis of the data is performed using PROC GLM of SAS. The SAS commands are given in the sequel.

Data Input:

For performing analysis, input the data in the following format. {Here one can call the row numbers as row, column number as col and treatments as trt. (It may, however, be noted that one can retain the same name or can code in any other fashion).

Prepare a SAS data file using

data latin;

input row col  trt yield;

cards;

1          1          3          3.10

1          2          6          5.95

1          3          1          1.75

1          4          5          6.40

1          5          2          3.85

1          6          4          5.30

2          1          2          4.80

2          2          1          2.70

2          3          3          3.30

2          4          6          5.95

2          5          4          3.70

2          6          5          5.40

3          1          1          3.00

3          2          2          2.95

3          3          5          6.70

3          4          4          5.95

3          5          6          7.75

3          6          3          7.10

4          1          5          6.40

4          2          4          5.80

4          3          2          3.80

4          4          3          6.55

4          5          1          4.80

4          6          6          9.40

5          1          6          5.20

5          2          3          4.85

5          3          4          6.60

5          4          2          4.60

5          5          5          7.00

5          6          1          5.00

6          1          4          4.25

6          2          5          6.65

6          3          6          9.30

6          4          1          4.95

6          5          3          9.30

6          6          2          8.40

;

proc glm;

class row col trt;

model yield = row col trt;

means trt/tukey;

contrast 'T3 T4 vs T5 T6' trt 0 0 1 1 -1 -1;

run;

One may use a host of multiple comparison procedures under the options in MEANS statement viz.  Least Significant Difference (LSD), Duncan’s New multiple - range test (DUNCAN), Waller - Duncan (WALLER) test, Tukey’s Honest Significant Difference (TUKEY).  The LSD, DUNCAN and TUKEY options takes level of significance ALPHA = 5% unless ALPHA = options is specified.  Only ALPHA = 1%, 5% and 10% are allowed with the Duncan’s test.  95% Confidence intervals about means can be obtained using CLM option under MEANS statement.