The output below reflects the results of a study examining three therapeutic int
ID: 3395700 • Letter: T
Question
The output below reflects the results of a study examining three therapeutic intervention styles on depression ratings following 10 weeks of treatment. State the null and research hypotheses, assess the assumptions of ANOVA, and interpret the results (F-ratio, post hoc results when applicable), and describe the outcome of the study with respect to null hypothesis.
Between-Subjects Factors
Value Label
N
treatment
BMOD
behavior mod therapy
15
CCT
client centered therapy
15
RET
rational-emotive therapy
15
Descriptive Statistics
Dependent Variable:rating
treatment
Mean
Std. Deviation
N
behavior mod therapy
8.40
.99
15
client centered therapy
3.13
1.06
15
rational-emotive therapy
4.20
.94
15
Total
5.24
2.50
45
Levene's Test of Equality of Error Variancesa
Dependent Variable:rating
F
df1
df2
Sig.
.073
2
42
.930
Tests the null hypothesis that the error variance of the dependent variable is equal across groups.
a. Design: Intercept + treatment
Tests of Between-Subjects Effects
Dependent Variable:rating
Source
Type III Sum of Squares
df
Mean Square
F
Sig.
Partial Eta Squared
Corrected Model
232.58a
2
116.29
117.03
.000
.848
Intercept
1237.69
1
1237.69
1245.60
.000
.967
treatment
232.58
2
116.29
117.03
.000
.848
Error
41.73
42
.99
Total
1512.00
45
Corrected Total
274.31
44
a. R Squared = .848 (Adjusted R Squared = .841)
b. Computed using alpha = .05
Multiple Comparison
LSD
(I) treatment
(J) treatment
Mean Difference (I-J)
Std. Error
Sig.
behavior mod therapy
client centered therapy
5.27*
.36
.000
rational-emotive therapy
4.20*
.36
.000
client centered therapy
behavior mod therapy
-5.27*
.36
.000
rational-emotive therapy
-1.07*
.36
.005
rational-emotive therapy
behavior mod therapy
-4.20*
.36
.000
client centered therapy
1.07*
.36
.005
Based on observed means.
The error term is Mean Square(Error) = .994.
*. The mean difference is significant at the .05 level.
Between-Subjects Factors
Value Label
N
treatment
BMOD
behavior mod therapy
15
CCT
client centered therapy
15
RET
rational-emotive therapy
15
Explanation / Answer
From the output, the significant value for the corrected model F =117.03 and the corresponding P-value 0.00
Since P-value is 0.000, we reject the null hypothesis. which is the means of three therapeutic intervention styles are not equal.
From the multiple comaprision tests, it was observed the mean difference between behavior mod therapy,client centered therapy is significant.
Also the mean difference betwee behavior mod therapy,rational-emotive therapy is significant.
Also the mean difference between rational-emotive therapy, client centered therapy is significant.
R squared value =0.848 , which means it explains 84.8% of the variaion in scores of depression.
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