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- Path: sparky!uunet!gatech!paladin.american.edu!auvm!UIUC.EDU!G-CZIKO
- Message-ID: <199301030244.AA20789@ux1.cso.uiuc.edu>
- Newsgroups: bit.listserv.csg-l
- Date: Sat, 2 Jan 1993 20:44:03 -0600
- Sender: "Control Systems Group Network (CSGnet)" <CSG-L@UIUCVMD.BITNET>
- Comments: Warning -- original Sender: tag was cziko@UX1.CSO.UIUC.EDU
- From: "Gary A. Cziko" <g-cziko@UIUC.EDU>
- Subject: 3 Pencils & 4 Rubber Bands
- Lines: 142
-
- [from Gary Cziko 930103.0240 GMT] (I got "93" on the first try!)
-
- I did it! I just designed the most awesome manual PCT demonstration of all
- time.
-
- And all you need to do it is 3 pencils, 4 rubber bands, and two pieces of
- paper taped together (on the other side) to make a long sheet about 22
- inches high and 8 1/2 inches wide (or just use two attached fan-fold
- computer sheets)
-
- Take the 3 pencils and attach them to each other like wrungs on a ladder
- using the rubber bands. Like this (with the vertical lines representing
- the pencils and the horizontal ones the rubber bands:
-
- |------|------| (not bad for my very first ASCII diagram)
- | | |
- |------|------|
-
- (And yes, it IS possible to loop a rubber band around a pencil when the
- other end is ALREADY looped around another pencil. Greg Williams showed me
- how to do this at the last CSG meeting in Durago--another reason not to
- miss CSG meetings).
-
- Now get your long piece of paper and draw a line horizontally across the
- middle (just above or below the seam of the two sheets). This is the
- target line. Place the paper on a table and tape down the corners so that
- is won't slide about.
-
- Take one end pencil and have your subject take the other end pencil. Put
- your pencil point above the target line and the extreme left side of the
- paper and have your subject put her pencil point below the target line so
- that (a) all pencils are perpendicular to the paper, (b) the middle pencil
- point is on the target line and (c) the rubber band connecting the
- subject's pencil to the middle ("cursor") pencil is perpendicular (90
- degree angle) to the target line. Tell your subject to maintain these two
- perceptual variables (cursor pencil point on target line and rubber-band at
- 90-degree angle) as you SLOWLY trace out an approximation to a sine curve
- above the cursor from one side of the paper to the other. Make sure that
- all three pencil points are making contact with the paper and leaving a
- trace (those of you with lots of research money from NASA or NSF may want
- to use felt-tip pens instead since they leave a nice trace with little
- pressure; in that case the demonstration is called "3 felt-tip pens & two
- rubber bands," but all else remains the same).
-
- After you've done this once, DO IT AGAIN, this time making sure that you as
- experimenter follow the same line as you did the first time.
-
- You will now have before your very eyes a very remarkable piece of paper.
- Above the target line you will see an approximate sine wave drawn twice
- (they will look more like one line if you're a really good disturbor like
- Rick Marken or Tom Bourbon). These are records of the two DISTURBANCES.
- Below the target line you will see two mirror images of the approximate
- sine curve drawn twice. These are records of the subject DID. They will
- probably be more irregular than the disturbances, but there should be an
- obvious similarity between the two response curves. In the middle you will
- have two "cursor" lines, which are records of what the subject SAW during
- the two trials (of course, there is no record of the rubber-band angle seen
- by the subject, but remember that PCT is still in its infancy). These two
- lines should not have any discernible pattern to them. In addition, they
- will NOT BE SIMILAR TO EACH OTHER (if they are, this is an indication that
- you disturbed too fast and the subject lost good control; Greg Williams may
- like this, but I won't).
-
- This is very strange indeed since the subject's responses are SIMILAR on
- the two trials and yet what she saw (the cursor pencil point) during the
- two trials was very DIFFERENT. How can the subject respond similarly on
- two trials when what was seen (the "stimulus") was so different? If anyone
- can come up with an explanation of this which does not look like
- closed-loop negative feedback model, please let us here on the CSGnet know
- about it.
-
- Your subject may find it difficult at first to control both the position of
- the cursor pencil on the target line and the angle of the rubber band. So
- you may want to let her practice first using the eraser ends of the
- pencils. Alternatively, you can practice yourself and let your participant
- be the experimenter.
-
- I hope that many of you have now realized that this is a manual (i.e.,
- non-computer) approximation of the task and analysis used by Rick Marken
- in:
-
- Marken, R. (1980). The cause of control movements in a
- tracking task. _Perceptual and Motor Skills, _51_,
- 755-758 (also contained in _Mind Readings_ available
- from The Control Systems Groups, 460 Black Lick Road,
- Gravel Switch, KY 40328. Price is $18 postpaid).
-
- Marken [Hi, Rick; I know you are reading and loving this. While I have
- your attention and admiration, why don't you be nicer to Ed Ford? I bet
- you're just jealous because he's on PBS-TV and you're not!] showed that in
- a similar task using a state-of-the art Apple II computer and game paddle
- that the correlation between cursor variations (here, middle pencil
- variations) were usually less than .20 while correlations between response
- variations (here subject's pencil) were always greater than .99
-
- Now comes the fun part. If you are a psychology student, show the
- demonstration to your local non-PCT psychology professor (if these are hard
- to find, please let us know where you are located) and ask him or her to
- explain the findings. He or she will most certainly have to say that the
- two sets of cursor variations are similar, even though there are not. If
- he or she doesn't believe they are not similar, show them Marken's paper
- with the fancy computer and game paddles and correlations sometimes to FOUR
- decimal points (I can never get more than three; that's what being a
- computer programmer gets you). He reports one correlation between cursor
- variations of .0032 with a corresponding correlation between response
- variations of .997. (If your non-PCT psychology professor is really sharp
- he or she will quickly point out that a correlation of .0032 can be
- statistically significant with a large enough sample). If he or she is not
- that sharp (or much sharper), he or she should be quite shaken up.
-
- Now if one psychology student, just one psychology student does this to his
- professors, they may think he's really sick and won't give him a passing
- grade. But if two students, two students do it, in harmony, they may think
- they're both faggots and they won't pass either of them. And three
- students, can you imagine, three students walking in their professors'
- offices and doing the 3 pencils & 4 rubber bands demonstration and walking
- out. They may think it's an organization. And can you imagine fifty
- students a day, I said fifty students a day walking in to do the 3 pencils
- & 4 rubber bands gig and walking out! Friends, they may think it's a
- movement.
-
- And that's what it is. It's the Three Pencils & Four Rubber Bands
- Anti-Input-Output Psychology Movement, and all you got to do to join is to
- do the demo the next time you run into a non-PCT psychologist! With
- feeling!
-
- --Gary
-
- P.S. With apologies to Arlo Guthrie. None to anybody else.
-
- P.P.S This should also work on a chalkboard for classroom and other public
- demonstrations. In that case it should be called the "3 pieces of chalk
- and 4 rubber bands demonstration."
- ------------------------------------------------------------------
- Gary A. Cziko Telephone: 217.333.8527
- Educational Psychology FAX: 217.244.7620
- University of Illinois E-mail: g-cziko@uiuc.edu
- 1310 S. Sixth Street Radio: N9MJZ
- 210 Education Building
- Champaign, Illinois 61820-6990
- USA
- ------------------------------------------------------------------
-