Use MegaStat, MINITAB, or another software package to perform
Tukey’s test for significant pairwise differences. Perform the test
using both the 5 percent and 1 percent levels of
significance.
One particular morning, the length of time spent in the examination
rooms is recorded for each patient seen by each physician at an
orthopedic clinic.
Time in Examination Rooms (minutes) | |||
Physician 1 | Physician 2 | Physician 3 | Physician 4 |
35 | 34 | 19 | 28 |
22 | 37 | 30 | 32 |
29 | 30 | 31 | 31 |
31 | 33 | 27 | 28 |
28 | 42 | 31 | 31 |
35 | 33 | 29 | 35 |
23 | 26 | 39 | |
29 | |||
Click here for the Excel Data File
(a) Calculate the mean for each group and the Tukey test
statistic T_{calc} for each pair. Provide the
critical values for both α = .05 and α = .01.
(Input the mean values within the input boxes of the first
row and input boxes of the first column. Input
T_{calc} in the appropriate boxes in the table.
Round all answers to two decimal places.)
Post hoc analysis:
Tukey simultaneous comparison t-values (d.f. = 24) | |||||
Physician 3 | Physician 1 | Physician 4 | Physician 2 | ||
Not attempted | Not attempted | Not attempted | Not attempted | ||
Physician 3 | Not attempted | ||||
Physician 1 | Not attempted | Not attempted | |||
Physician 4 | Not attempted | Not attempted | Not attempted | ||
Physician 2 | Not attempted | Not attempted | Not attempted | Not attempted | |
Critical values for experimentwise error rate: | |||||
0.05 | Not attempted | ||||
0.01 | Not attempted | ||||
a)from Megastat: Applying ANOVA on above data:
Physician 3 | Physician 1 | Physician 4 | Physician 2 | ||
27.8 | 29.0 | 32.0 | 34.8 | ||
Physician 3 | 27.8 | ||||
Physician 1 | 29.0 | 0.56 | |||
Physician 4 | 32.0 | 1.90 | 1.30 | ||
Physician 2 | 34.8 | 3.03 | 2.42 | 1.18 | |
critical values for experimentwise error rate: | |||||
0.05 | 2.76 | ||||
0.01 | 3.47 |
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