ANCOVA Laboratory Exercise #2 – use the “ancova2
ANCOVA Laboratory Exercise #2 – use the “ancova2.sav” data
The purpose the study was to compare the effectiveness of group and individual therapy to improve the general psychological wellness of patients with mild depression. Twenty-six patients who had been diagnosed as mildly depressed were given the choice whether to enter a group or an individual treatment protocol lasting for 24 weeks. A “quality of life” questionnaire was completed by each patient before starting therapy and a “psychological wellness” questionnaire was completed by each patient at the end of the therapeutic intervention.
1. Perform an ANOVA to compare the groups on the wellness DV.
Group therapy mean ____________ std ________ n ______
Individual therapy mean ____________ std ________ n ______
F = _______________________ df = __________________ p = _______________ MSe = ________________
Can you give a causal interpretation to these results? Why or who not?
2. Is there a group difference on the “quality of life” taken before treatment began?
Group therapy mean ____________ std ________ n ______
Individual therapy mean ____________ std ________ n ______
F = _______________________ df = __________________ p = _______________ MSe = ________________
Given this finding, how would you interpret the ANOVA of wellness you did above?
3. Form post-hoc matched groups using the “quality of life” variable – use only exact matches.
How many pairs can you form using exact matching? _______________
List the pairs below
List those who are not in any group
Make a new dataset of the matched pairs
Perform a matched-groups (within-groups) ANOVA of the wellness outcome data.
Group therapy mean ____________ std ________ n ______
Individual therapy mean ____________ std ________ n ______
F = _______________________ df = __________________ p = _______________ MSe = ________________
How would you interpret these results? Is a causal interpretation appropriate? Why or why not?
In what way is this analysis “better” than the ANOVA of the wellness data you did above?
What are the limitations of this ANOVA?
4. Perform an ANCOVA of the wellness data with “quality of live” as the covariate (using the original ancova2.sav data)
Group therapy corrected mean ____________ std ________ n ______
Individual therapy corrected mean ____________ std ________ n ______
COV effect F = ____________________ df = _______________ p = ______________ MSe = ________________
IV effect F = ____________________ df = _______________ p = ______________ MSe = ________________
How would you interpret these results? Is a causal interpretation appropriate? Why or why not?
In what way is this analysis “better” than the ANOVA of the wellness data you did above?
What are the limitations of this ANCOVA?
5. Perform a Treatment*Subjects analysis of the wellness data
Start with the “quality of live” rating and make a new variable (call it qualgrp) with 1=a rating < 35 and 2 = a rating > 35
Get the factorial ANOVA with tx and qualgrp as the IVs and the wellness score as the DV
Group therapy low quality of life corrected mean ____________ std ________ n ______
Individual therapy low quality of life corrected mean ____________ std ________ n ______
Group therapy high quality of life corrected mean ____________ std ________ n ______
Individual therapy high quality of life corrected mean ____________ std ________ n ______
TX effect F = ____________________ df = _______________ p = ______________ MSe = ________________
QUALGRP effect F = _________________ df = _______________ p = ______________ MSe = ________________
INTERACTION F = _________________ df = _______________ p = ______________ MSe = ________________
How would you interpret these results? (Be sure to describe the pattern of the interaction) Is a causal interpretation appropriate? Why or why not?
In what way is this analysis “better” than the ANOVA of the wellness data you did above?
What are the limitations of this analysis?
Were there any consistent findings from these analyses? How would you interpret the combination of these findings?
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