Example Examination Questions on SimonLazarsfeld Modeling
The following two sets of questions are from a final examination and require application
of SimonLazarsfeld modeling.
Common Information for Questions 1, 2, and 3
A research team seeks to estimate the model
w
x
Y
E
2
1
0
)
(
β
+
+
=
. The
variable
Y
is a measure of substance abuse disorder of a participant observed at age 25;
the variable
x
is a measure of the extent of conduct disorder shown by the participant at
age 18; and the variable
w
is a measure of
the attention deficit hyperactivity behavior
shown at age 12. They observe values of
y,
x
, and
w
on 600 subjects. They find that the
total sum of squares for
Y
is 40,000. The correlation between
Y
and
w
is 0.12; the
correlation between
Y
and
x
is 0.38; and the correlation between
x
and
w
is 0.35.
1.
Compute the analysis of variance table for the multiple regression analysis of
Y
.
Include the sum of squares due to the regression on
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 Fall '08
 Staff
 Statistics, Regression Analysis, 2 w, conduct disorder, significant additional explanation

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