Homework SourseFind TukeyKramer results a Group 1 to Group 2 Different Not
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 Different
| Design1 | Design2 | Design3 | Design4 |
| 206.32 | 217.08 | 226.77 | 230.55 |
| 207.94 | 221.43 | 224.79 | 227.95 |
| 206.19 | 218.04 | 229.75 | 231.84 |
| 204.45 | 224.13 | 228.51 | 224.87 |
| 209.65 | 211.82 | 221.44 | 229.49 |
| 203.81 | 213.90 | 223.85 | 231.10 |
| 206.75 | 221.28 | 223.97 | 221.53 |
| 205.68 | 229.43 | 234.30 | 235.45 |
| 204.49 | 213.54 | 219.50 | 228.35 |
| 210.86 | 214.51 | 233.00 | 225.09 |
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. |
