The SAS System

Obs y group
1 1 1
2 2 1
3 3 1
4 5 2
5 3 2
6 4 2
7 6 3
8 7 3
9 5 3



The SAS System

The GLM Procedure

Class Level Information
Class Levels Values
group 3 1 2 3

Number of Observations Read 9
Number of Observations Used 9



The SAS System

The GLM Procedure
 
Dependent Variable: y

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 24.00000000 12.00000000 12.00 0.0080
Error 6 6.00000000 1.00000000    
Corrected Total 8 30.00000000      

R-Square Coeff Var Root MSE y Mean
0.800000 25.00000 1.000000 4.000000

Source DF Type I SS Mean Square F Value Pr > F
group 2 24.00000000 12.00000000 12.00 0.0080

Source DF Type III SS Mean Square F Value Pr > F
group 2 24.00000000 12.00000000 12.00 0.0080



The SAS System

The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable y
Classified by Variable group
group N Sum of
Scores
Expected
Under H0
Std Dev
Under H0
Mean
Score
1 3 6.50 15.0 3.840573 2.166667
2 3 15.00 15.0 3.840573 5.000000
3 3 23.50 15.0 3.840573 7.833333
Average scores were used for ties.

Kruskal-Wallis Test
Chi-Square 6.5311
DF 2
Pr > Chi-Square 0.0382



The SAS System

Obs y group
1 1 1
2 2 1
3 3 1
4 5 2
5 3 2
6 4 2
7 6 3
8 27 3
9 5 3



The SAS System

The GLM Procedure

Class Level Information
Class Levels Values
group 3 1 2 3

Number of Observations Read 9
Number of Observations Used 9



The SAS System

The GLM Procedure
 
Dependent Variable: y

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 192.8888889 96.4444444 1.85 0.2366
Error 6 312.6666667 52.1111111    
Corrected Total 8 505.5555556      

R-Square Coeff Var Root MSE y Mean
0.381538 116.0165 7.218803 6.222222

Source DF Type I SS Mean Square F Value Pr > F
group 2 192.8888889 96.4444444 1.85 0.2366

Source DF Type III SS Mean Square F Value Pr > F
group 2 192.8888889 96.4444444 1.85 0.2366



The SAS System

The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable y
Classified by Variable group
group N Sum of
Scores
Expected
Under H0
Std Dev
Under H0
Mean
Score
1 3 6.50 15.0 3.840573 2.166667
2 3 15.00 15.0 3.840573 5.000000
3 3 23.50 15.0 3.840573 7.833333
Average scores were used for ties.

Kruskal-Wallis Test
Chi-Square 6.5311
DF 2
Pr > Chi-Square 0.0382