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	6 7 4 6 5
positive	8 6 6 7 7	7 8 6 8 7	7 8 7 6 6

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Worry: p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0
Communication: p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0
Interaction: p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0


c) 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


d) Make an interpretation based on the results.

There is a worry difference in medical care satisfaction.There is no worry difference in medical care satisfaction.    

There is a communication difference in medical care satisfaction.There is no communication difference in medical care satisfaction.    

There is a worry by communication interaction in medical care satisfaction.There is no worry by communication interaction in medical care satisfaction.    

Answer 1

Applying ANOVA:

Source of Variation	SS	df	MS	F	P-value
worry	10.8000	1	10.8000	13.7872	0.0011
communication	5.2667	2	2.6333	3.3617	0.0516
Interaction	9.8000	2	4.9000	6.2553	0.0065
Within	18.8000	24	0.7833
Total	44.6667	29

a) two-way ANOVA

b)

Worry: p value =0.0011 ,  Reject H0

Communication: p value =0.0516 ; Fail to reject H0

Interaction: p value =0.0065 ,  Reject H0

c)

Worry: η² = 0.2418 , medium effect

Communication η² = 0.1179 , medium effect

Interaction:η² = 0.2194 , medium effect

d)

There is a worry difference in medical care satisfaction

There is a worry by communication interaction in medical care satisfaction.