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- Date: Thu, 7 Jan 1993 03:13:00 GMT
- Sender: "Control Systems Group Network (CSGnet)" <CSG-L@UIUCVMD.BITNET>
- From: Hortideas Publishing <0004972767@MCIMAIL.COM>
- Subject: Devil with a Blue Dress Gone
- Lines: 53
-
- From Greg Williams (920106 - 2)
-
- >Bill Powers (930106.1515)
-
- >A complete model always predicts some specific outcome which
- >can't be confused with a different outcome, should the prediction
- >be wrong. The model for tracking behavior doesn't just predict
- >that there will be handle "movements." It says that at time t,
- >the handle will be _here_, at time t+0.02 sec, _here_, and so on
- >point by point through the whole run. There is absolutely no
- >equivocation in the prediction. We can, in fact, measure exactly
- >how far off the model is for every single data point. This is
- >true whether the model predicts behavior very closely or is
- >wildly wrong. The model presents an explanation of the behavior
- >that we can recognize as COMPLETE. When the explanation or model
- >is complete, we can tell when it is wrong, and not be concerned
- >whether a different interpretation might make it right. If it's
- >wrong it's wrong, and we can fix it. If the wrongness depends on
- >interpretation, there's no way to tell what needs fixing.
-
- Using the PCT model for the tracking of a particular subject, which gives a
- very high correlation between model-predicted handle positions and actual
- handle positions during the course of runs with disturbances other than the
- disturbance used to calibrate the model, what is the correlation between
- model-predicted cursor positions and actual cursor positions during the course
- of such runs? If the subject shows pseudorandom fluctuations when moving the
- handle, has a reaction time lag, and occasionally hiccups, burps, or sneezes,
- but the model doesn't, I suppose that the latter correlation will not be very
- high. Is that true? If so, the COMPLETE model is wrong, isn't it? Then, how
- would you fix it to more precisely predict cursor movement on a moment-by-
- moment basis?
-
- I see no reason why a predictive S-R model could not be developed to predict
- cursor movement. But, given the pseudorandom fluctuations, I think it is
- asking too much for predictions of cursor position by EITHER model to be
- exact. Do you think that developing an S-R model capable of predicting cursor
- movement (over a population of several trial runs) as well as the PCT model
- can predict cursor movement is an impossibility?
-
- It seems to me that a large number of models (PCT and S-R, each differing from
- the others in parameters and/or basic forms) can produce equally high
- correlations between actual handle position and model-predicted handle
- position, because the moment-to-moment differences in the predictions of the
- various models get "washed out" in computing those correlations. But trying to
- predict cursor position accurately (which will necessarily involve dealing
- with statistics over multiple trials, because of the inescapable noise
- component) will tend to separate the good models from the poor ones.
-
- As ever,
-
- Greg (apparently, I'm finally rid of the old doctor -- turned out he had a
- thing about women's clothes, so I gave him an old blue dress and he put it on,
- danced himself into a frenzy, and exploded)
-