A remotivation team in a psychiatric hospital conducted an experiment to compare
ID: 3365529 • Letter: A
Question
A remotivation team in a psychiatric hospital conducted an experiment to compare five methods for remotivating patients. Patients were grouped according to level of initial motivation. Patients in each group were randomly assigned to the five methods. At the end of the experimental period the patients were evaluated by a team composed of a psychiatrist, a psychologist, a nurse, and a social worker, none of whom was aware of the method to which patients had been assigned. The team assigned each patient a composite score as a measure of his or her level of motivation. Compute the ANOVA using alpha = 0.05.
Level of Initial Motivation Remotivation Method
A
B
C
D
E
Nil
58
68
60
68
64
Very low
62
70
65
80
69
Low
67
78
68
81
70
Average
70
81
70
89
74
do the data provide sufficient evidence to indicate a difference in mean scores among methods? Let = 0.5
Perform the 10 step hypothesis testing procedure for analysis of variance.
A
B
C
D
E
Nil
58
68
60
68
64
Very low
62
70
65
80
69
Low
67
78
68
81
70
Average
70
81
70
89
74
Explanation / Answer
Result:
A remotivation team in a psychiatric hospital conducted an experiment to compare five methods for remotivating patients. Patients were grouped according to level of initial motivation. Patients in each group were randomly assigned to the five methods. At the end of the experimental period the patients were evaluated by a team composed of a psychiatrist, a psychologist, a nurse, and a social worker, none of whom was aware of the method to which patients had been assigned. The team assigned each patient a composite score as a measure of his or her level of motivation. Compute the ANOVA using alpha = 0.05.
ANOVA
H_0: mu_1 = mu_2= mu_3 = mu_4 = mu_5
Rejection region: Reject Ho if calculated F(4,15) > 3.056
Calculated F=4.44 > 3.056 the critical value.
Ho is rejected.
There is sufficient evidence to indicate a difference in mean scores among the 5 methods.
One factor ANOVA
Mean
n
Std. Dev
64.3
4
5.32
A
74.3
4
6.24
B
65.8
4
4.35
C
79.5
4
8.66
D
69.3
4
4.11
E
70.6
20
7.84
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
632.80
4
158.200
4.44
.0144
Error
534.00
15
35.600
Total
1,166.80
19
One factor ANOVA
Mean
n
Std. Dev
64.3
4
5.32
A
74.3
4
6.24
B
65.8
4
4.35
C
79.5
4
8.66
D
69.3
4
4.11
E
70.6
20
7.84
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
632.80
4
158.200
4.44
.0144
Error
534.00
15
35.600
Total
1,166.80
19
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