Monoamine oxidase (MAO) is an enzyme that is thought to play a role in the regul
ID: 3221366 • Letter: M
Question
Monoamine oxidase (MAO) is an enzyme that is thought to play a role in the regulation of behavior. To see whether different categories of schizophrenic patients have different levels of MAO activity, researchers collected blood specimens from 42 patients and measured the MAO activity in the platelets. The results are summarized in the accompanying table.
Diagnosis
mean
sd
n
Chronic undifferentiated schizophrenic
9.81
3.62
18
Undifferentiated with paranoid feature
6.28
2.88
16
Paranoid schizophrenic
5.97
3.19
8
a) Construct the ANOVA table and test the global null hypothesis at alpha=0.05.
b) Calculate the pooled standard deviation.
Diagnosis
mean
sd
n
Chronic undifferentiated schizophrenic
9.81
3.62
18
Undifferentiated with paranoid feature
6.28
2.88
16
Paranoid schizophrenic
5.97
3.19
8
Explanation / Answer
a)
The sum of the square error is
SSE=SST-SSBG
=555.24-136.81 =418.43
The degree of freedom error is
dfE=N-k
=42-3 =39
The degree of freedom total is
dfT=N-1
=42-1 =41
The Mean square between groups
MSBG=SSBG/dfBG
=136.81/2 =68.41
The mean square Error is
MSE= SSE/dfE
=418.43/39 =10.73
The F-Statistic is
F= MSBG/ MSE
=68.41/10.73 = 6.3756
The NOVA Table is
from the table F value with df1=2 df2=39 =3.24
Calculated F=6.3756>3.24
The null hypothesis is rejected
c.
Pooled standard deviation =sqrt(MSS) = sqrt(10.73)
=3.2757
Source SS df MS F treatmet 136.81 2 68.41 6.3756 Error 418.43 39 10.73 Total 555.24 41Related Questions
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