Sixteen Experimental Investigations from the Harvard Psychological Laboratory - Hugo Münsterberg (best life changing books txt) 📗
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a difference. The subjects seem to feel very uncertain about their
answers, and it looks very much like guess-work, but something caused
the guesses to go more in one direction than in the other.
Two were called less than one …. 16% of the times given.
” ” ” equal to …. 48% ” “
” ” ” greater than …. 36% ” “
Approximately half of the time two were called equal to one, and if
there had been no difference in the sensations half of the remaining
judgments should have been that two was smaller than one, but two were
called larger than one more than twice as many times as one was called
larger than two. There was such uniformity in the reports of the
different subjects that no one varied much from this average ratio.
This experiment seems to indicate a very slight power of
discrimination of stimulations within the threshold. In striking
contrast to this is the power to perceive variations of distance
between two points outside the threshold. To test this the
æsthesiometer was spread enough to bring the points outside the
threshold. The back of the hand was then stimulated with the two
points and then the distance varied slightly, the hand touched and the
subject asked to tell which time the points were farther apart. A
difference of 2 mm. was usually noticed, and one of from 3 to 5 mm.
was noticed always very clearly.
I wondered then what would be the result if small cards set parallel
to each other were used in place of the knobs of the æsthesiometer. I
made an æsthesiometer with cards 4 mm. long in place of knobs. These
cards could be set at any angle to each other. I set them at first 10
mm. apart and parallel to each other and asked the subjects to compare
the contact made by them with a contact by one card of the same size.
The point touched by the one card was always between the points
touched by the two cards, and the one card was put down so that its
edge would run in the same direction as the edges of the other cards.
The result of this was that:
Two were called less, 14 per cent.
” ” ” equal, 36 ” “
” ” ” greater, 50 ” “
I then increased the distance of the two cards to 15 mm., the other
conditions remaining the same, and found that:
Two were called less, 11 per cent.
” ” ” equal, 50 ” “
” ” ” greater, 39 ” “
It will be noticed that the ratio in this last series is not
materially different from the ratio found when the two knobs of the
æsthesiometer were compared with one knob. The ratio found when the
distance was 10 mm., however, is somewhat different. At that distance
two were called greater half of the time, while at 15 mm. two were
called equal to one half of the time. The explanation of the
difference, I think, is found in the comments of one of my subjects. I
did not ask them to tell in what way one object was larger than the
other—whether longer or larger all around or what—but simply to
answer ‘equal,’ ‘greater,’ or ‘less.’ One subject, however, frequently
added more to his answers. He would often say ‘larger crosswise’ or
‘larger lengthwise’ of his hand. And a good deal of the time he
reported two larger than one, not in the direction in which it really
was larger, but the other way. It seems to me that when the two cards
were only 10 mm. apart the effect was somewhat as it would be if a
solid object 4 mm. wide and 10 mm. long had been placed on the hand.
Such an object would be recognized as having greater mass than a line
4 mm. long. But when the distance is 15 mm. the impression is less
like that of a solid body but still not ordinarily like two objects.
In connection with the subject of diffusion the Vexirfehler is of
interest. An attempt was made to develop the Vexirfehler with the
æsthesiometer. Various methods were tried, but the following was most
successful. I would tell the subject that I was going to use the
æsthesiometer and ask him to close his eyes and answer simply ‘one’ or
‘two.’ He would naturally expect that he would be given part of the
time one, and part of the time two. I carefully avoided any suggestion
other than that which could be given by the æsthesiometer itself. I
would begin on the back of the hand near the wrist with the points as
near the threshold as they could be and still be felt as two. At each
successive putting down of the instrument I would bring the points a
little nearer together and a little lower down on the hand. By the
time a dozen or more stimulations had been given I would be working
down near the knuckles, and the points would be right together. From
that on I would use only one point. It might be necessary to repeat
this a few times before the illusion would persist. A great deal seems
to depend on the skill of the operator. It would be noticed that the
first impression was of two points, and that each stimulation was so
nearly like the one immediately preceding that no difference could be
noticed. The subject has been led to call a thing two which ordinarily
he would call one, and apparently he loses the distinction between the
sensation of one and the sensation of two. After going through the
procedure just mentioned I put one knob of the æsthesiometer down one
hundred times in succession, and one subject (Mr. Meakin) called it
two seventy-seven times and called it one twenty-three times. Four of
the times that he called it one he expressed doubt about his answer
and said it might be two, but as he was not certain he called it one.
Another subject (Mr. George) called it two sixty-two times and one
thirty-eight times. A third subject (Dr. Hylan) called it two
seventy-seven times and one twenty-three times. At the end of the
series he was told what had been done and he said that most of his
sensations of two were perfectly distinct and he believed that he was
more likely to call what seemed somewhat like two one, than to call
what seemed somewhat like one two. With the fourth subject (Mr.
Dunlap) I was unable to do what I had done with the others. I could
get him to call one two for four or five times, but the idea of two
would not persist through a series of any length. He would call it two
when two points very close together were used. I could bring the knobs
within two or three millimeters of each other and he would report two,
but when only one point was used he would find out after a very few
stimulations were given that it was only one. After I had given up the
attempt I told him what I had been trying to do and he gave what seems
to me a very satisfactory explanation of his own case. He says the
early sensations keep coming up in his mind, and when he feels like
calling a sensation two he remembers how the first sensation felt and
sees that this one is not like that, and hence he calls it one. I pass
now to a brief discussion of what these experiments suggest.
It has long been known that two points near together on the skin are
often perceived as one. It has been held that in order to be felt as
two they must be far enough apart to have a spatial character, and
hence the distance necessary for two points to be perceived has been
called the ‘space-threshold.’ This threshold is usually determined
either by the method of minimal changes or by the method of right and
wrong cases.
If, in determining a threshold by the method of minimal changes—on
the back of the hand, for example, we assume that we can begin the
ascending series and find that two are perceived as one always until
the distance of twenty millimeters is reached, and that in the
descending series two are perceived as two until the distance of ten
millimeters is reached, we might then say that the threshold is
somewhere between ten and twenty millimeters. But if the results were
always the same and always as simple as this, still we could not say
that there is any probability in regard to the answer which would be
received if two contacts 12, 15, or 18 millimeters apart were given by
themselves. All we should know is that if they form part of an
ascending series the answer will be ‘one,’ if part of a descending
series ‘two.’
The method of right and wrong cases is also subject to serious
objections. There is no lower limit, for no matter how close together
two points are they are often called two. If there is any upper limit
at all, it is so great that it is entirely useless. It might be argued
that by this method a distance could be found at which a given
percentage of answers would be correct. This is quite true, but of
what value is it? It enables one to obtain what one arbitrarily calls
a threshold, but it can go no further than that. When the experiment
changes the conditions change. The space may remain the same, but it
is only one of the elements which assist in forming the judgment, and
its importance is very much overestimated when it is made the basis
for determining the threshold.
Different observers have found that subjects sometimes describe a
sensation as ‘more than one, but less than two.’ I had a subject who
habitually described this feeling as ‘one and a half.’ This does not
mean that he has one and a half sensations. That is obviously
impossible. It must mean that the sensation seems just as much like
two as it does like one, and he therefore describes it as half way
between. If we could discover any law governing this feeling of
half-way-between-ness, that might well indicate the threshold. But
such feelings are not common. Sensations which seem between one and
two usually call forth the answer ‘doubtful,’ and have a negative
rather than a positive character. This negative character cannot be
due to the stimulus; it must be due to the fluctuating attitudes of
the subject. However, if the doubtful cases could be classed with the
‘more than one but less than two’ cases and a law be found governing
them, we might have a threshold mark. But such a law has not been
formulated, and if it had been an analysis of the ‘doubtful’ cases
would invalidate it. For, since we cannot have half of a sensation or
half of a place as we might have half of an area, the subject regards
each stimulation as produced by one or by two points as the case may
be. Occasionally he is stimulated in such a way that he can regard the
object as two or as one with equal ease. In order to describe this
feeling he is likely to use one or the other of the methods just
mentioned.
We might say that when the sum of conditions is such that the subject
perceives two points, the points are above the threshold, and when the
subject perceives one point when two are given they are below the
threshold. This
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