Question

Hospital administrators at a local hospital are interested in quality of care. As such, they ask a random sample of patients that have used the hospital's health care services to fill out a questionnaire. The questionnaire has questions about the patient's worry (negative, positive), the hospital staff's communication skills (low, medium, high), and satisfaction with medical care. The administrators are interested in how patient's worry and their assessment of the hospital staff's communication impact their satisfaction with medical care. The survey data are below. What can the administrators conclude with α = 0.01?

	Communication
Worry	low	med	high
negative	7 6 8 6 8	5 4 5 4 5	7 7 4 6 5
positive	8 6 6 7 7	7 8 6 8 7	7 8 6 6 6

Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
Worry: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Communication: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect

Answer 1

Applying two way ANOVA:

Source of Variation	SS	df	MS	F	P-value	F crit
worry	8.5333	1	8.5333	9.8462	0.0045	7.8229
Communication	5.2667	2	2.6333	3.0385	0.0666	5.6136
Interaction	10.0667	2	5.0333	5.8077	0.0088	5.6136
Within	20.8000	24	0.8667
Total	44.6667	29

Worry: η² =8.5333/44.6667 =0.1910 , medium effect

Communication: η² = 5.2667/44.6667 =0.1179 , medium effect

Interaction: η² =10.0667/44.6667 =0.2254 , medium effect