RM3-RPT3.DOC
A REPORT
by
Chuck Tucker
with comments and programming by
Rick Marken
This is a report of a replication (with extention) of Rick
Marken's study "The Cause of Control Movements in a Tracking
Task" originally published in PERCEPTUAL AND MOTOR SKILLS,
1980, 51, 755-758 (Marken Reader Pp. 61-66).
The task performed is a typical compensatory tracking
task with several exceptions. Each trial done by a person is
two "runs" using exactly the SAME disturbance type, pattern
and speed for each "run." During each "run" the person is
asked to keep the tip of the moving arrow (cursor) aligned
with the tip of the stationary arrow at the center of the
monitor screen. The correlations for these two "runs" are
the relationship between the arrow (cursor) movements and
the relationship between the mouse movements.
A typical Stimulus-Response (S-R) characterization of this
experience would be that the mouse movements are caused
by the "stimulus properties" or "intrinsic qualities" of
the cursor. This being the case, the prediction, would
be that if the exact same response (R) happens on two
occasions then the exact same stimulus (S) should have
happened on those two occasions. In this exercise, if
the person moves the mouse (R) in exactly the same way
on two occasions (i.e., "runs") then the cursor movements
(S) should be the same on the two occasions(i.e., "runs").
So using the S-R formulation and specification for the
"stimulus" and "response," the "sameness" for the S and R
on the two occasions is measured by the correlations
between the mouse and the cursor movements on those
occasions. The correlations should be very similar on
the two occasions if the S-R formulation is correct.
STUDY PROCEDURES
Each person (other than myself) doing his exercise
was a student volunteering from a course in sociological
social psychology without pay in money or grade points.
Each one was seated in front of a MAC IIci and asked to
follow my instructions. All were experienced at using
a mouse (not this particular mouse on this computer) but
none had done this exercise or any task similar to it.
None were allowed to "practice" the task but simply shown
what would happen on the monitor screen and what numerals
to record on a form.
All saw how a "model" looked (a moving arrow) on the screen
and told that the main difference between watching the "model"
and their activities would be that they would be aligning the
arrows by using the mouse while the "model" was doing it from
a program. During the running of the "model" the participant
moved the mouse to demonstrate that the mouse had no "effect"
on the arrow movement. When the "model" finished, two sets of
lines appeared on the screen with a numeral for each set and
numerals labelled "First Trial Control," "Second Trial Control,"
and "Disturbance ID." (SEE BELOW) I showed each participant
NAME OF EXERCISE: ALIGN 4 DATA DATE: Spring 1994
DISTURBANCE TYPE: Sinus LEVEL: Very Easy
TRIAL Cursor-R Mouse-R TC#1 TC#2 D-ID#
MODEL .405 .999 1.73 1.82 296
where to record the numerals from the monitor screen on a sheet
of paper.
Each trial was two "runs" of forty seconds. After the first
"run" a question appeared on the screen asking if they
wanted to do a second "run" and they were told to "click"
on the box next to the question. After the second "run"
they were asked if they wanted an analysis and they were
told to "click" on that box. After 30 seconds a diagram of
lines and numerals appeared on the screen. They recored
the numerals from the screen to a form. No one reported
any difficulties following these instructions and recording
the numerals.
DATA
I report the data for seven trials of two persons done
under different disturbance patterns. The numerals for
each trial are: Cursor-R (a correlation between the cursor
movement on the first "run" and the second "run"); Mouse-R
(a correlation between the mouse movements on the first "run"
and the second "run"); MN#1 (a numeral representing the
amount of "control" on the first "run" [average number of
pixels the arrow deviated during the "run" - perfect control
is zero]); MN#2 (a number representing the amount of "control"
on the second "run" [average number of pixels the arrow
deviated during the "run" - perfect control is zero]); D-ID#
(a number used to identify the disturbance for both of the
"runs"). [The original numerals for TC#1 and TC#2 are "squared
deviations" while MN#1 and MN#2 are simply the square root of
those numerals]
NAME OF EXERCISE: ALIGN 4 DATA DATE: Spring 1994
DISTURBANCE TYPE: Sinus LEVEL: Very Easy
PARTICIPANT NUMBER: 001
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .225 .998 1.82 1.68 148
2 .327 .999 1.62 1.62 254
3 .244 .998 1.55 2.21 182
4 .248 .999 1.65 1.58 247
5 .409 .999 1.24 1.37 105
6 .444 .999 1.34 1.28 369
7 .311 .999 1.64 1.56 143
PARTICIPANT NUMBER: 002
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .433 .999 1.91 1.88 179
2 .466 .999 1.88 1.64 182
3 .449 .998 1.86 1.85 337
4 .360 .999 1.64 1.75 151
5 .292 .999 1.71 1.88 291
6 .375 .999 1.81 2.02 263
7 .355 .999 1.73 1.92 187
···
***************************
NAME OF EXERCISE: ALIGN 4 DATA DATE: Spring 1994
DISTURBANCE TYPE: Sinus LEVEL: Easy
PARTICIPANT NUMBER: 003
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .452 .998 2.25 2.25 336
2 .407 .996 2.48 3.46 339
3 .518 .998 2.00 2.51 212
4 .507 .997 2.63 3.08 188
5 .511 .998 1.74 2.35 383
6 .433 .998 2.38 2.09 207
7 .459 .998 2.52 2.90 224
PARTICIPANT NUMBER: 004
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .312 .998 2.11 2.15 361
2 .204 .998 2.10 2.69 179
3 .228 .998 2.28 2.00 262
4 .457 .998 1.77 1.99 102
5 .385 .999 2.23 2.12 249
6 .498 .998 1.76 2.18 116
7 .407 .998 2.27 1.89 222
***************************
NAME OF EXERCISE: ALIGN 4 DATA DATE: Spring 1994
DISTURBANCE TYPE: Random LEVEL: Very Easy
PARTICIPANT NUMBER: 005
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .650 .998 1.90 1.98 275
2 .558 .998 2.18 1.92 295
3 .519 .998 1.99 1.91 351
4 .524 .998 1.97 1.92 181
5 .665 .997 2.06 2.01 373
6 .568 .998 1.80 1.71 148
7 .452 .997 1.86 1.95 359
PARTICIPANT NUMBER: 006
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .465 .997 2.08 2.38 301
2 .392 .997 2.34 2.61 204
3 .511 .994 2.54 2.82 377
4 .537 .997 2.48 2.16 222
5 .462 .998 1.87 2.08 160
6 .613 .998 1.98 2.10 177
7 .560 .998 2.18 2.11 233
***************************
NAME OF EXERCISE: ALIGN 4 DATA DATE: Spring 1994
DISTURBANCE TYPE: Random LEVEL: Easy
PARTICIPANT NUMBER: 007
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .723 .997 3.35 3.24 142
2 .681 .995 3.60 4.14 219
3 .603 .994 4.10 3.72 240
4 .457 .994 2.98 3.30 208
5 .533 .994 2.63 2.69 354
6 .788 .998 3.20 3.22 152
7 .532 .994 2.64 2.65 357
PARTICIPANT NUMBER: 008
TRIAL Cursor-R Mouse-R MN#1 MN#2 D-ID#
1 .745 .996 3.25 3.93 199
2 .746 .997 3.59 3.15 126
3 .748 .996 3.27 3.10 368
4 .780 .996 3.26 3.89 190
5 .722 .994 3.97 4.36 175
6 .693 .993 3.36 3.32 363
7 .797 .996 4.17 3.98 209
***************************
These data do not seem to support the S-R predictions. The
variation of the correlations of the mouse movements is
extremely small with an average correlation of about .995.
There is much more variation in the cursor correlations with
an average of about .50 with the smallest r=.204 and the
largest r=.794. Learning (if it is indicated by more
"control" in terms of smaller mean pixels) does not seem to
consistently occur on the second "run" of each trial. There
appears to be some difficulty in "controlling" across "conditions"
in that it was best for those in the "sinus, very easy condition"
while poorest for those in the "random, easy condition" but
since a different person performed these acts it is not
possible to readily compare across "conditions." Even though
the "control" was quite poor for persons #7 and #8 the
difference between the correlations is still evident.
It appears, counter-intuitively, that the data for those
with the best "control" are least likely to be explained
by the S-R formulation. Perhaps that intuition is derived
from the S-R formulation rather than the PCT model.