Question

In: Statistics and Probability

Perform's Tukey's multiple comparison procedure in SAS (using alpha = 0.05) and summarize which insecticides are...

Perform's Tukey's multiple comparison procedure in SAS (using alpha = 0.05) and summarize 
which insecticides are significantly different from each other, in terms of mean 
number of deaths.
data insectdeaths; 
input INSECTICIDE $  DEAD;
cards;
 A 85
 B 90
 C 93
 D 98
 A 82
 B 92
 C 94
 D 98
 A 83
 B 90
 C 96
 D 100
 A 88
 B 91
 C 95
 D 97
 A 89
 B 93
 C 96
 D 97
 A 92
 B 81
 C 94
 D 99
;
run;

Solutions

Expert Solution

Treat insecticides as a grouping variable using class statement in proc glm

use model statement  

Ho:

he mean number of insect deaths are same across insectside 
types. 

Ha:

The mean number of insect deaths differs across insectside 
types. 

SAS Code:

data insectdeaths;
input INSECTICIDE $ DEAD;
cards;
A 85
B 90
C 93
D 98
A 82
B 92
C 94
D 98
A 83
B 90
C 96
D 100
A 88
B 91
C 95
D 97
A 89
B 93
C 96
D 97
A 92
B 81
C 94
D 99
;
run;
proc glm data = insectdeaths;
class INSECTICIDE ;
model DEAD = INSECTICIDE ;
means INSECTICIDE/cldiff tukey ;
run;

Output:

The GLM Procedure

Class Level Information
Class Levels Values
INSECTICIDE 4 A B C D
Number of Observations Read 24
Number of Observations Used 24

The GLM Procedure

Dependent Variable: DEAD

Source DF Sum of Squares Mean Square F Value Pr > F
Model 3 488.7916667 162.9305556 17.99 <.0001
Error 20 181.1666667 9.0583333
Corrected Total 23 669.9583333
R-Square Coeff Var Root MSE DEAD Mean
0.729585 3.264029 3.009707 92.20833
Source DF Type I SS Mean Square F Value Pr > F
INSECTICIDE 3 488.7916667 162.9305556 17.99 <.0001
Source DF Type III SS Mean Square F Value Pr > F
INSECTICIDE 3 488.7916667 162.9305556 17.99 <.0001

The GLM Procedure

The GLM Procedure

Tukey's Studentized Range (HSD) Test for DEAD

Note:This test controls the Type I experimentwise error rate.

Alpha 0.05
Error Degrees of Freedom 20
Error Mean Square 9.058333
Critical Value of Studentized Range 3.95825
Minimum Significant Difference 4.8635
Comparisons significant at the 0.05 level are indicated by ***.
INSECTICIDE
Comparison
Difference
Between
Means
Simultaneous 95% Confidence Limits
D - C 3.500 -1.364 8.364
D - B 8.667 3.803 13.530 ***
D - A 11.667 6.803 16.530 ***
C - D -3.500 -8.364 1.364
C - B 5.167 0.303 10.030 ***
C - A 8.167 3.303 13.030 ***
B - D -8.667 -13.530 -3.803 ***
B - C -5.167 -10.030 -0.303 ***
B - A 3.000 -1.864 7.864
A - D -11.667 -16.530 -6.803 ***
A - C -8.167 -13.030 -3.303 ***
A - B -3.000 -7.864 1.864

since F=17.99,p<.0001,

p<0.05

Reject Ho that all the 4 type insecticides means are equal

and conclude that there is sufficient evidence at 5% level of significance that

he mean number of insect deaths differs across insectide 
types. 

From tukey,the following means are different

D-B

D-A

C-B

C-A

B-D

B-C

A-D

A-C


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