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Lois,
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The use of intelligence in many senses makes =
your problem a little confusing. In a real grid
we might find such construct labels. For now,
let's refine the labels a little for clarity's sake, =
understanding that in an actual grid the labels =
would be irrelevant- as far as the math goes. If =
we were conducting a grid study we would not =
need to refine these labels but for illustative
purposes it will help.
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Lets change "Intelligence vs Foolish" to =
"Wise vs Foolish".
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change "Foolish vs Careful" to =
"Careless vs Careful".
=
change "Intelligent vs Incompetent" to =
"Competent vs Incompetent"
=
keep "Intelligent vs Stupid"
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The causul model is"( leaving off the contrast poles =
for illustrative purposes)
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Intelligent------------->
+ =3D Wise
Careful--------------->
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Competent
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Or =
Intelligent + Careful=3D Wise
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with competent not entering the equation. =
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Note that the configuration does not require that =
Competent be uncorrelated with Wise. It may or =
may not be. Both Wise and Competent may =
share a common source in a fourth variable; =
Educated. If they are so rooted in Education, =
Wise and Competent would be correlated =
dependent variables. They would be correlated =
but without any causal connection between the two. =
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In grid form we might ask a person to rate or rank =
50 persons (elements) along the 5 constructs.
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Grid Elements (N=3D50)
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Mary Willie Joseph ........ Mike
Constructs
(k=3D5)
Intelligent 1 5 4 3
Competent 3 7 1 1
Careful 7 6 2 5
Wise 5 5 1 4
Educated 1 4 7 7
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These numbers are just random and not meant at this =
time to simulate real formal causation. =
In the real world we would be interested in discovering =
if the client is implicity synthesizing any of the =
constructs from the other constructs. We could also =
concatenate many peoples grids, so long as they =
all rated using the same constructs. Their elements =
could differ. If we contrasted two groups of people, =
say academic failures and the academically successful, =
we might find the two groups synthesize the constructs =
in different ways. =
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Of course we would not be limited to human elements.
We could use musical compositions, commercial =
products, works of art, feelings, or what ever.
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Does this help set the stage?
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Bill =
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