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

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

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

Answer 1

a) What is the appropriate test statistic?
two-way ANOVA

b) Input the appropriate value(s) to make a decision about H₀.
Worry: p-value = 0.0062; Decision:  Reject H0
Communication: p-value = 0.0982 ; Decision: Fail to reject H0
Interaction: p-value = 0.0250 ; Decision: Fail to reject H0


c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
Worry: η² = 0.192 ; small effect
Communication: η² = 0.109 ; small effect
Interaction: η² =  0.185; small effect

Source	SS	df	MS	F	p-value	n²
Factor 1	7.50	1	7.500	9.00	.0062	0.192
Factor 2	4.27	2	2.133	2.56	.0982	0.109
Interaction	7.20	2	3.600	4.32	.0250	0.185
Error	20.00	24	0.833
Total	38.97	29