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1. Multivariate and Monova Assignment Help
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2. 1 A 2×3 factorial MANOVA was used to determine the effect of Treatment (Meds, Psychotheraphy and
Placebo) and gender (Male and Female) on symptomatic improvement (measured by indexes of both
worry and general emotion). Significant effect of treatment was found on combined dependent
variables, F(4, 186)=10.270, p<0.001; Wilks’ Λ=0.671
2 One way MANOVA was conducted to determine the effect of Treatment (Meds, Psychotherapy
and Placebo) on symptomatic improvement (measured by indexes of both worry and general emotion) for
both male and female. Post Hoc result for male shows that average index of worry for meds (M=26.68,
sd=7.38) is significantly lower than that of psychotherapy (M=41.75, sd=7.26), p<0.001. Similarly,
average index of worry for meds (M=26.68, sd=7.38) is significantly lower than that of placebo
(M=40.66, sd=1.69), p=0.012. Average index of worry for placebo (M=40.66, sd=1.69) is not significantly
lower than that of psychotherapy (M=41.75, sd=7.26),p=0.914. On the other hand, average index of
Emotion for meds (M=27.70, sd=9.86) is significantly lower than that of psychotherapy (M=46.33,
sd=8.73), p<0.001. Average index of emotion for meds (M=27.70, sd=9.86) is significantly lower than that
of placebo (M=45.59, sd=1.65), p=0.011. Average index of worry for placebo (M=45.59, sd=1.65) is lower
than that of psychotherapy (M=46.33, sd=8.73), but not significant p=0.914. This result shows that Meds
has the lowest score for both index of emotion and worry. Thus, Meds is the most effective
treatment for males.
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3. 3 One way MANOVA was conducted to determine the effect of Treatment (Meds, Psychotherapy and
Placebo) on symptomatic improvement (measured by indexes of both worry and general emotion) for both
male and female. Post Hoc result for female shows that average index of worry for meds (M=26.61, sd=8.31) is
significantly lower than that of psychotherapy (M=33.85, sd=6.33), p=0.012. Similarly, average index of
worry for meds (M=26.61, sd=8.31) is significantly lower than that of placebo (M=38.83, sd=4.97),
p<0.001. average index of worry for psychotherapy (M=33.85, sd=6.33) is significantly lower than that
of placebo (M=38.83, sd=4.97),p=0.023. On the other hand, average index
of Emotion for meds (M=14.03, sd=8.5) is lower than that of psychotherapy (M=17.07, sd=6.71) but not
significant, p=0.398. Conversely, average index of emotion for meds (M=14.03, sd=8.5) is significantly lower
than that of placebo (M=20.31, sd=7.5), p<0.04. Average index of worry for psychotherapy (M=17.07,
sd=6.71) is lower than that of placebo (M=20.31, sd=7.5), but not significant p=0.239. This result shows that
Meds has the lowest score for both index of emotion and worry. Thus, Meds is the most effective treatment for
females.
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4. Results
Multivariate Testsa
Effect Value F Hypothesis
df
Error df Sig.
Intercept
Treatmen
t
Gender
Treatmen
t *
Pillai's Trace Wilks'
Lambda Hotelling's
Trace
Roy's Largest Root
Pillai's Trace Wilks'
Lambda Hotelling's
Trace Roy's Largest
Root Pillai's Trace
Wilks' Lambda
Hotelling's Trace
Roy's Largest Root
Pillai's Trace
Wilks' Lambda
Gender
Hotelling's Trace
Roy's Largest Root
.927 589.144
b
2.000 93.000 .000
.073 589.144
b
2.000 93.000 .000
12.670 589.144
b
2.000 93.000 .000
12.670 589.144
b
2.000 93.000 .000
.329 9.263 4.000 188.000 .000
.671 10.270b
4.000 186.000 .000
.490 11.276 4.000 184.000 .000
.490 23.016c
2.000 94.000 .000
.523 50.919b
2.000 93.000 .000
.477 50.919b
2.000 93.000 .000
1.095 50.919b
2.000 93.000 .000
1.095 50.919b
2.000 93.000 .000
.118 2.953 4.000 188.000 .021
.883 2.988b
4.000 186.000 .020
.131 3.021 4.000 184.000 .019
.121 5.669c
2.000 94.000 .005
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5. Multiple Comparisonsa
LSD
Dependent(I) Treatment (J) Treatment
Variable
Mean
Difference (I-
J)
Std.
Error
Sig. 95% Confidence
Interval
Lower
Bound
Upper
Bound
Psychotherapy
Meds
Placebo
Meds
Emotion Psychotherapy
Placebo
Meds
Placebo
Psychotherapy
-3.04 3.564 .398 -10.21 4.13
-6.28*
2.970 .040 -12.26 -.31
3.04 3.564 .398 -4.13 10.21
-3.24 2.722 .239 -8.72 2.23
6.28*
2.970 .040 .31 12.26
3.24
-7.24*
2.722
2.776
.239
.012
-2.23
-12.82
8.72
-1.65
-12.22*
2.314 .000 -16.88 -7.57
7.24*
2.776 .012 1.65 12.82
-4.99*
2.120 .023 -9.25 -.72
12.22*
2.314 .000 7.57 16.88
a.Design: Intercept + Treatment + Gender + Treatment * Gender
b.Exact statistic
c.The statistic is an upper bound on F that yields a lower bound on the significance level.
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6. Based on observed means.
The error term is Mean Square(Error) = 34.256.
*. The mean difference is significant at the .05 level.
a. Gender = Females
Psychotherapy
Meds
Placebo
Meds
Worry Psychotherapy
Placebo
Meds
Placebo
Psychotherapy
4.99*
2.120 .023 .72 9.25
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7. a. Gender = Males
Treatment Mean Std. Deviation N
Meds Psychotherapy
Emotion
Placebo
Total Meds
Psychotherapy
Worry
Placebo
Total
27.70 9.863 26
46.33 8.730 22
45.59 1.653 2
36.61
26.68
13.048
7.379
50
26
41.75 7.260 22
40.66 1.691 2
33.87 10.374 50
Descriptive Statisticsa
a. Gender = Females
Descriptive
Statisticsa
Treatment Mean Std. Deviation N
Meds Psychotherapy
Emotion
Placebo
Total Meds
Psychotherapy
Worry
Placebo
Total
14.03 8.499 8
17.07 6.709 10
20.31 7.498 32
18.66
26.61
7.743
8.305
50
8
33.85 6.330 10
38.83 4.973 32
35.88 7.309 50
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8. Multiple Comparisonsa
LSD
Dependent(I) Treatment (J)
Treatment Variable
Mean
Difference
(I- J)
Std.
Error
Sig. 95% Confidence
Interval
Lower
Bound
Upper
Bound
Psychotherapy
Meds
Placebo
Meds
Emotion Psychotherapy
Placebo
Meds
Placebo
Psychotherapy
Psychotherapy
Meds
-18.64*
2.684 .000 -24.04 -13.24
-17.89*
6.799 .011 -31.57 -4.22
18.64*
2.684 .000 13.24 24.04
.74 6.843 .914 -13.02 14.51
17.89*
6.799 .011 4.22 31.57
-.74
-15.07*
6.843
2.100
.914
.000
-14.51
-19.30
13.02
-10.85
-13.98*
5.320 .012 -24.69 -3.28
15.07*
2.100 .000 10.85 19.30
1.09 5.355 .840 -9.69 11.86
13.98*
5.320 .012 3.28 24.69
-1.09 5.355 .840 -11.86 9.69
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9. Based on observed means.
The error term is Mean Square(Error) = 52.571.
*. The mean difference is significant at the .05 level.
a. Gender = Males
Placebo
Meds
Worry Psychotherapy
Placebo
Meds
Placebo
Psychotherapy
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