Question

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

Answer 1

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