Given the following data, does it appear that there any differences in the number of patients served by the day of the week? If there are differences, which days seem to be the busiest?
It apepars I would need to run one-way ANOVA by changing the table to be the following:
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| Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| 38 |
28 |
28 |
30 |
35 |
| 35 |
25 |
22 |
21 |
32 |
| 37 |
29 |
27 |
28 |
35 |
| 37 |
26 |
28 |
23 |
33 |
I get the following by running the one-way ANOVA:
| |
Mean |
n |
Std. Dev |
|
|
|
| |
36.8 |
4 |
1.26 |
Monday |
|
|
| |
27.0 |
4 |
1.83 |
Tuesday |
|
|
| |
26.3 |
4 |
2.87 |
Wednesday |
|
| |
25.5 |
4 |
4.20 |
Thursday |
|
|
| |
33.8 |
4 |
1.50 |
Friday |
|
|
| |
29.9 |
20 |
5.18 |
Total |
|
|
| |
|
|
|
|
|
|
| ANOVA table |
|
|
|
|
|
|
| Source |
SS |
df |
MS |
F |
p-value |
|
| Treatment |
411.30 |
4 |
102.825 |
15.54 |
3.26E-05 |
|
| Error |
99.25 |
15 |
6.617 |
|
|
|
| Total |
510.55 |
19 |
|
|
|
|
| |
|
|
|
|
|
|
| Post hoc analysis |
|
|
|
|
|
| p-values for pairwise t-tests |
|
|
|
|
| |
|
Thursday |
Wednesday |
Tuesday |
Friday |
Monday |
| |
|
25.5 |
26.3 |
27.0 |
33.8 |
36.8 |
| Thursday |
25.5 |
|
|
|
|
|
| Wednesday |
26.3 |
.6859 |
|
|
|
|
| Tuesday |
27.0 |
.4225 |
.6859 |
|
|
|
| Friday |
33.8 |
.0004 |
.0009 |
.0021 |
|
|
| Monday |
36.8 |
1.75E-05 |
3.68E-05 |
.0001 |
.1199 |
|
What does given p-value of 3.26E-05 mean?
Thanks!