[From Bruce Abbott (980206.0955 EST)]
Rick Marken (980205.1100) --
Bruce Abbott (980205.0945 EST)
I think, Sarsi, that you do know what I am getting at
I think you don't even know who I am. It's Rick here, boobala.
Whichever you prefer. Your call. But you sure _sound_ like Sarsi.
If the perceptual function produces no (zero) signal regardless
of the value of i (assuming i = s + o) then there would be no
systematic relationship between s and o. I don't understand
what you mean by the question "how would the relationship
between s and o _change_?". If a person perceives nothing
regardless of the value of i then the person doesn't perceive i.
This means that there was _never_ a systematic relationship
between s and i for this person so there can be no _change_
in the relationship between s and o.
Wrong. During the course of the psychophysical experiment, the center
intensity of the tone was systematically varied across trials. On some of
those trials, the tone was always clearly perceptible to the participant,
and this was evidenced by the fact that she was able to keep the tone at a
constant intensity despite small disturbances to that intensity. In this
case a specific systematic relationship between s and o appeared. On other
trials, the tone was never perceptible to the participant, and this was
evidenced by the fact that she was unable to keep the tone's intensity
against disturbances. In this case the systematic relationship between s
and o was absent. It would appear that something has changed between these
two conditions. It isn't h() and it isn't g(), and it isn't the ratio
-h()/g(). It isn't a property of the environment that this experiment
reveals. It is a property of the participant's perceptual input function.
At some point along the tone intensity continuum, that function begins to
return a constant p for every i, and the s-o relationship observed at higher
tone intensities breaks down.
OK. So I have answered your question. But I have a problem;
I still think that the relationship between s and o in a
conventional psychophysical task tells you nothing about the
subject's perceptual function. Maybe what I'm supposed to get
is that psychophysical experiments can tell you whether or not
subject's can perceive a variable at all. Is that it? If so, I don't
even agree with that; remember my friends at the draft physical?
If this is your objection, then you'd better be prepared to apply it to
ordinary tracking studies, too. If a given participant fails to track a
target, is it because the participant cannot control this particular
variable, or just doesn't care to? There are ways to find out whether a
participant is being uncooperative. And what about the case where you
yourself serve as participant? The objection does not apply.
Now let's return to a traditional psychophysical study of tone thresholds,
one in which the person has control over tone intensity and is asked to keep
the tone crossing just above and below threshold by pressing or releasing a
button. When the button is pressed, tone intensity increases at a constant
rate. When the button is released, tone intensity decreases at a constant
rate. By pressing until the tone is heard, releasing until it is lost, then
pressing again, and so on, the participant can keep the tone intensity
oscillating closely around the threshold boundary. We have asked the
participant to use the threshold as a reference level, and can infer what
that reference level is from the data. We assess this level at a variety of
tone frequencies, and thereby discover that threshold varies in a smooth way
with frequency, being higher at both low frequencies (e.g., 30 Hz) and high
frequencies (e.g., 16,000 Hz) than at intermediate frequencies (e.g., 2,000
Hz). I observe similar functions in most participants I test. I conclude
that for humans with normal hearing, the tone intensity threshold follows an
inverted U-shape as a function of tone frequency. Apparently, however, you
would claim that what I have learned is merely a behavioral illusion, a
characteristic not of my participants but of the environmental feedback
function.
Regards,
Bruce