Homework SourseTukeyKramer results a Group 1 to Group 2 Different Not Diff
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
| Kroger | Glad | Hefty | TuffStuff |
| 34 | 32 | 33 | 26 |
| 30 | 42 | 34 | 18 |
| 40 | 34 | 32 | 20 |
| 38 | 36 | 40 | 15 |
| 36 | 32 | 40 | 20 |
| 30 | 40 | 34 | 20 |
| 30 | 36 | 36 | 17 |
| 42 | 43 | 34 | 18 |
| 36 | 30 | 32 | 19 |
| 38 | 38 | 34 | 20 |
Solution
Answer:
Tukey-Kramer results:
a. Group 1 to Group 2: Not Different
b. Group 1 to Group 3: Not Different
c. Group 1 to Group 4: Different
d. Group 2 to Group 3: Not Different
e. Group 2 to Group 4: Different
f. Group 3 to Group 4: Different
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Kroger
10
354
35.4
18.7111
Glad
10
363
36.3
19.5667
Hefty
10
349
34.9
8.5444
TuffStuff
10
193
19.3
8.2333
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
1986.4750
3
662.1583
48.1084
0.0000
2.8663
Within Groups
495.5000
36
13.7639
Total
2481.9750
39
Tukey-Kramer Multiple Comparisons
Sample
Sample
Absolute
Std. Error
Critical
Group
Mean
Size
Comparison
Difference
of Difference
Range
Results
1: Kroger
35.4
10
Group 1 to Group 2
0.9
1.173196015
4.517
Means are not different
2: Glad
36.3
10
Group 1 to Group 3
0.5
1.173196015
4.517
Means are not different
3: Hefty
34.9
10
Group 1 to Group 4
16.1
1.173196015
4.517
Means are different
4: TuffStuff
19.3
10
Group 2 to Group 3
1.4
1.173196015
4.517
Means are not different
Group 2 to Group 4
17
1.173196015
4.517
Means are different
Other Data
Group 3 to Group 4
15.6
1.173196015
4.517
Means are different
Level of significance
0.05
Numerator d.f.
4
Denominator d.f.
36
MSW
13.76389
Q Statistic
3.85
Q table value DF ( 4,40) at 5% level used.
| ANOVA: Single Factor | ||||||
| SUMMARY | ||||||
| Groups | Count | Sum | Average | Variance | ||
| Kroger | 10 | 354 | 35.4 | 18.7111 | ||
| Glad | 10 | 363 | 36.3 | 19.5667 | ||
| Hefty | 10 | 349 | 34.9 | 8.5444 | ||
| TuffStuff | 10 | 193 | 19.3 | 8.2333 | ||
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit |
| Between Groups | 1986.4750 | 3 | 662.1583 | 48.1084 | 0.0000 | 2.8663 |
| Within Groups | 495.5000 | 36 | 13.7639 | |||
| Total | 2481.9750 | 39 |
