Question

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. Table below shows descriptive statistics and an ANOVA table for comparing the mean length of time spent in the examination rooms for four physicians.

physician	n	Mean
I	7	28.3
II	6	34.2
III	9	28.7
IV	6	30.7

Source	SS	df	MS	F
Between	142.5	3	47.5	2.05
Within	555.6	24	23.15
Total	698.1	27

(a). What is the critical q-value for the Tukey method with α = .05?

(b). Using the Tukey method, can we conclude the difference between means of physician I and IV is significant?

Answer 1

a)

q(4,24)=   3.9013

...............

b)

Level of significance	0.05
no. of treatments,k	4
DF error =N-k=	24
MSE =	23.1500
q-critical value(0.05,4,24)=	3.9013

					confidence interval
	mean difference	absolute mean difference		critical value	lower limit	upper limit			result
µ1-µ4	-2.40	2.40		7.38	-9.78	4.98			means are not different

not significant difference

.......................

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