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Find Tukey-Kramer results:
a. Group 1 to Group 2: Different / Not Different
b. Group 1 to Group 3: Different / Not Different
c. Group 1 to Group 4: Different / Not Different
d. Group 2 to Group 3: Different / Not Different
e. Group 2 to Group 4: Different / Not Different
f. Group 3 to Group 4: Different / Not
DifferentDesign1Design2Design3Design4206.32217.08226.77230.55207.94221.43224.79227.95
206.19218.04229.75231.84204.45224.13228.51224.87209.65211.82221.44229.49203.81213.90
223.85231.10206.75221.28223.97221.53205.68229.43234.30235.45204.49213.54219.50228.35
210.86214.51233.00225.09
Solution
The SPSS ANOVA output for the given data is
Multiple Comparisons
Response
Tukey HSD
(I) Design
(J) Design
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
1.00
2.00
-11.90200*
1.93911
.000
-17.1245
-6.6795
3.00
-19.97400*
1.93911
.000
-25.1965
-14.7515
4.00
-22.00800*
1.93911
.000
-27.2305
-16.7855
2.00
1.00
11.90200*
1.93911
.000
6.6795
17.1245
3.00
-8.07200*
1.93911
.001
-13.2945
-2.8495
4.00
-10.10600*
1.93911
.000
-15.3285
-4.8835
3.00
1.00
19.97400*
1.93911
.000
14.7515
25.1965
2.00
8.07200*
1.93911
.001
2.8495
13.2945
4.00
-2.03400
1.93911
.722
-7.2565
3.1885
4.00
1.00
22.00800*
1.93911
.000
16.7855
27.2305
2.00
10.10600*
1.93911
.000
4.8835
15.3285
3.00
2.03400
1.93911
.722
-3.1885
7.2565
*. The mean difference is significant at the 0.05 level.
a. Group 1 to Group 2: Different / Not Different
The Significant value =0.000, so conclude that these groups are significantly different.
b. Group 1 to Group 3: Different / Not Different
The Significant value =0.000, so conclude that these groups are significantly different.
c. Group 1 to Group 4: Different / Not Different
The Significant value =0.000, so conclude that these groups are significantly different.
d. Group 2 to Group 3: Different / Not Different
The Significant value =0.001, This value is less than 0.05 so conclude that these groups are
significantly different at 5% level.
e. Group 2 to Group 4: Different / Not Different
The Significant value =0.000, so conclude that these groups are significantly different.
f. Group 3 to Group 4: Different / Not Different
The Significant value =0.722, A high p-value indicates to accepting the null hypothesis. so
conclude that these groups are not significantly different.
Multiple Comparisons
Response
Tukey HSD
(I) Design
(J) Design
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
1.00
2.00
-11.90200*
1.93911
.000
-17.1245
-6.6795
3.00
-19.97400*
1.93911
.000
-25.1965
-14.7515
4.00
-22.00800*
1.93911
.000
-27.2305
-16.7855
2.00
1.00
11.90200*
1.93911
.000
6.6795
17.1245
3.00
-8.07200*
1.93911
.001
-13.2945
-2.8495
4.00
-10.10600*
1.93911
.000
-15.3285
-4.8835
3.00
1.00
19.97400*
1.93911
.000
14.7515
25.1965
2.00
8.07200*
1.93911
.001
2.8495
13.2945
4.00
-2.03400
1.93911
.722
-7.2565
3.1885
4.00
1.00
22.00800*
1.93911
.000
16.7855
27.2305
2.00
10.10600*
1.93911
.000
4.8835
15.3285
3.00
2.03400
1.93911
.722
-3.1885
7.2565
*. The mean difference is significant at the 0.05 level.

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