[From Rick Marken (970426.0900)]
I recommend that fans of conventional psychological research (Bruce
Abbott, Martin Taylor, Hans Blom, etc) read the following VERY carefully
(note, in particular, the very last statemeant; I have said this over
and over again for the last 10 years or so but maybe if
it comes from Bill, wrapped in such a nice, rigorous package, you
will pay attention). If, after reading this, you still believe that
conventional psychological research contributes to our understanding of
behavior then I think there is nothing anyone can do for you.
Best
Rick
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Bill Powers (970424.0601 MST) --
You are talking about a case in which failing to recognize a regular > relationship leads to the _impression_ that there is a low
correlation, when in fact there is a very high one. This is what
I call "using the wrong model."
The most pertinent example, of course, is that of S-R investigations > of the behavior of a control system, where the controlled variable
is not taken into account. The manipulated variables are actually
disturbances, and the responses are actually actions that cancel
the effects of the disturbances on the controlled variable. Not
knowing that, however, the experimenter does not use the right
measure of the disturbances: he uses qd instead of Fd(qd);
neither does he use the right measure of the action: he uses qo
instead of Fo(qo). Furthermore, he does not realize that there are
many qd's that could affect the same controlled variable, so he
does not control the environment so as to eliminate random effects
on qi -- he can't, because he has not identified qi. And of course
he will probably include variables that have no effect on qi. The
net result is a low correlation between qd (the "stimulus") and
qo (the "response"), singly or in bunches.
If qi had been identified reasonably well, the experimenter could
have made sure that nothing else but qd (aside from qo) could
affect it, and the true connections between qd and qi, and qo
and qi, could be determined by physical examination of the
environment. This would provide an exact model of the environment,
and now the relationship between qd and qo would become much more
nearly exact, most of the variance disappearing. In fact, multiple
disturbances could be used, and multiple linear correlation analysis
would now show that there is a very high (negative) correlation in
the relationship
Fo(qo) = -[Fd1(qd1) +Fd2(qd2)+ ... Fdn(Qdn)].
It's only through identifying controlled input variables that one
can distinguish between environmental variables that ought to
relate to actions and those that ought NOT to relate to them.
The key is to understand what the controlled variable is.