An analysis is conducted to compare mean time to pain relief (measured in minutes) under four...
An analysis is conducted to compare mean time to pain relief (measured in minutes) under four competing treatment regimens. Summary statistics on the four treatments are shown below.
|
Treatment |
Sample Size |
Mean Time to Relief |
Sample Variance |
|
A |
5 |
33.8 |
17.7 |
|
B |
5 |
27.0 |
15.5 |
|
C |
5 |
50.8 |
9.7 |
|
D |
5 |
39.6 |
16.8 |
Complete the following ANOVA Table.
|
Source of Variation |
SS |
df |
MS |
F |
|
Between Groups . |
||||
|
Within Groups |
3719.48 |
|||
|
Total |
Homework Answers
| Group | ni | x̅i | ni*(Xi-Xgrand)2 | SS=(ni-1)*s2 | |
| A | 5 | 33.8 | 80.000 | 70.8000 | |
| B | 5 | 27 | 583.200 | 62.0000 | |
| C | 5 | 50.8 | 845.000 | 38.8000 | |
| D | 5 | 39.6 | 16.200 | 67.2000 | |
| grand mean= | 37.8000 | 1524.4000 | 238.8000 | ||
| SSTr | SSE |
from above
| Source | SS | df | MS | F |
| Treatment | 1524.4000 | 3 | 508.1333 | 34.0458 |
| error | 238.8000 | 16 | 14.9250 | |
| total | 1763.2000 | 19 |
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