Sixteen Experimental Investigations from the Harvard Psychological Laboratory by Hugo Münsterberg (good novels to read in english TXT) 📖
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6. 12.0 9.0 6.5 6.0 3.5 2.0 1.5 1.0
6.5 4.0 3.5 4.0 3.5 4.0 .5 0. 0.
No influence arising from practice is discoverable from this table,
and we may safely conclude that this hypothetical factor may be
disregarded, although among the experimenters on auditory time
Mehner[13] thought results gotten without a maximum of practice are
worthless, while Meumann[14] thinks that unpracticed and hence
unsophisticated subjects are most apt to give unbiased results, as
with more experience they tend to fall into ruts and exaggerate their
mistakes. The only stipulation we feel it necessary to make in this
connection is that the subject be given enough preliminary tests to
make him thoroughly familiar with the conditions of the experiment.
[13] op. cit., S. 558, S. 595.
[14] op. cit. (II.), S. 284.
2. The second group of experiments introduced the factor of a
difference between the stimulation marking the end of an interval and
that marking the beginning, in the form of a change in locality
stimulated, from one finger to the other, either on the same hand or
on the other hand. Two classes of series were given, in one of which
the change was introduced in the standard interval, and in the other
class in the compared interval.
In the first of these experiments, which are typical of the whole
group, both of the subject’s hands were employed, and a tapping
instrument was arranged above the middle finger of each, as above the
one hand in the preceding experiment, the distance between middle
fingers being fifteen inches. The taps were given either two on the
right hand and the third on the left, or one on the right and the
second and third on the left, the two orders being designated as RRL
and RLL respectively. The subject was always informed of the order
in which the stimulations were to be given, so that any element of
surprise which might arise from it was eliminated. Occasionally,
however, through a lapse of memory, the subject expected the wrong
order, in which case the disturbance caused by surprise was usually so
great as to prevent any estimation.
The two types of series were taken under as similar conditions as
possible, four (or in some cases five) tests being taken from each
series alternately. Other conditions were the same as in the preceding
work. The results for the six subjects employed are given in Table IV.
TABLE IV.
ST= 5.0 SECS. TWO HANDS. 15 INCHES.
Subject. Average RT. No. of Series.
RRL. RLL.* (Table II.)
Hs. 4.92 6.55 (5.26) 50
Sh. 5.29 5.28 (5.34) 50
Mr. 5.02 6.23 (5.25) 60
Mn. 5.71 6.71 (6.19) 24
A. 5.34 5.89 (5.75) 28
Sn. 5.62 6.43 (5.47) 60
*Transcriber’s Note: Original “RRL”
From Table IV. it is apparent at a glance that the new condition
involved introduces a marked change in the time judgment. Comparison
with Table II. shows that in the cases of all except Sh and Sn the
variation RRL shortens the standard subjectively, and that RLL
lengthens it; that is, a local change tends to lengthen the interval
in which it occurs. In the case of Sh neither introduces any change
of consequence, while in the case of Sn both values are higher than
we might expect, although the difference between them is in conformity
with the rest of the results shown in the table.
Another set of experiments was made on subject Mr, using taps on the
middle finger of the left hand and a spot on the forearm fifteen
inches from it; giving in one case two taps on the finger and the
third on the arm, and in the other one tap on the finger and the
second and third on the arm; designating the orders as FFA and FAA
respectively. Sixty series were taken, and the values found for the
average ET were 4.52 secs, for FFA and 6.24 secs, for FAA, ST
being 5.0 secs. This shows 0.5 sec. more difference than the
experiment with two hands.
Next, experiments were made on two subjects, with conditions the same
as in the work corresponding to Table IV., except that the distance
between the fingers stimulated was only five inches. The results of
this work are given in Table V.
TABLE V.
ST= 5.0 SECS. TWO HANDS. 5 INCHES.
Subject RRL. RLL. No. of Series.
Sh. 5.32 5.32 60
Hs. 4.40 6.80 60
It will be noticed that Hs shows a slightly wider divergence than
before, while Sh pursues the even tenor of his way as usual.
Series were next obtained by employing the first and second fingers on
one hand in exactly the same way as the middle fingers of the two
hands were previously employed, the orders of stimulation being 1, 1,
2, and 1, 2, 2. The results of sixty series on Subject Hs give the
values of average ET as 4.8 secs. for 1, 1, 2, and 6.23 sees, for 1,
2, 2, ST being 5.0 secs., showing less divergence than in the
preceding work.
These experiments were all made during the first year’s work. They
show that in most cases a change in the locality stimulated influences
the estimation of the time interval, but since the details of that
influence do not appear so definitely as might be desired, the ground
was gone over again in a little different way at the beginning of the
present year.
A somewhat more serviceable instrument for time measurements was
employed, consisting of a disc provided with four rows of sockets in
which pegs were inserted at appropriate angular intervals, so that
their contact with fixed levers during the revolution of the disc
closed an electric circuit at predetermined time intervals. The disc
was rotated at a uniform speed by an electric motor.
Experiments were made by stimulation of the following localities: (1)
First and third fingers of right hand; (2) first and second fingers of
right hand; (3) first fingers of both hands, close together, but just
escaping contact; (4) first fingers of both hands, fifteen inches
apart; (5) first fingers of both hands, thirty inches apart; (6) two
positions on middle finger of right hand, on same transverse line.
A standard of two seconds was adopted as being easier for the subject
and more expeditious, and since qualitative and not quantitative
results were desired, only one CT was used in each case, thus
permitting the investigation to cover in a number of weeks ground
which would otherwise have required a much longer period. The subjects
were, however, only informed that the objective variations were very
small, and not that they were in most cases zero. Tests of the two
types complementary to each other (e.g., RRL and RRL) were in
each case taken alternately in groups of five, as in previous work.
TABLE VI.
ST= 2.0 SECS.
Subject W.
(1) CT=2.0 (3) CT=2.2 (5) CT=2.0
113 133 RRL RLL RRL RLL
S 3 3 9 20 5 21
E 18 19 25 16 18 14
L 24 28 16 14 17 15
Subject P.
(1) CT=2.0 (3)CT={1.6 (5) CT={1.6
{2.4 {2.4
113 133 RRL(1.6) RLL(2.4) RRL(1.6) RLL(2.4)
S 2 16 12 16 15 10
E 38 32 32 21 26 19
L 10 2 6 15 14 21
Subject B.
(1) CT=2.0 (2) CT=2.0 (6) CT=2.0
113 133 112 122 aab abb
S 4 21 5 20 7 6
E 23 19 22 24 40 38
L 23 10 23 6 3 6
Subject Hy.
(1) CT=2.0 (2) CT=2.4 (1a) CT=2.0
113 133 112 122 113 133
S 12 46 17 40 17 31
E 9 2 14 8 9 7
L 29 2 19 2 14 2
In the series designated as (1a) the conditions were the same
as in (1), except that the subject abstracted as much as
possible from the tactual nature of the stimulations and the
position of the fingers. This was undertaken upon the
suggestion of the subject that it would be possible to perform
the abstraction, and was not repeated on any other subject.
The results are given in Table VI., where the numerals in the
headings indicate the localities and changes of stimulation, in
accordance with the preceding scheme, and ‘S’, ‘E’ and ‘L’
designate the number of judgments of shorter, equal and longer
respectively.
It will be observed that in several cases a CT was introduced in one
class which was different from the CT used in the other classes with
the same subject. This was not entirely arbitrary. It was found with
subject W, for example, that the use of CT = 2.0 in (3) produced
judgments of shorter almost entirely in both types. Therefore a CT
was found, by trial, which produced a diversity of judgments. The
comparison of the different classes is not so obvious under these
conditions as it otherwise would be, but is still possible.
The comparison gives results which at first appear quite irregular.
These are shown in Table VII. below, where the headings (1)—(3),
etc., indicate the classes compared, and in the lines beneath them
‘+’ indicates that the interval under consideration is estimated as
relatively greater (more overestimated or less underestimated) in the
second of the two classes than in the first,—indicating the opposite
effect. Results for the first interval are given in the line denoted
‘first,’ and for the second interval in the line denoted ‘second.’
Thus, the plus sign under (1)—(3) in the first line for subject P
indicates that the variation RLL caused the first interval to be
overestimated to a greater extent than did the variation 133.
TABLE VII.
SUBJECT P. SUBJECT W. SUBJECT B. SUBJECT Hy.
(1)—(3) (3)—(4) (1)—(3) (3)—(5) (2)—(1) (6)—(2) (2)—(1)
First. + - + - - + -
Sec. + + - + + + +
The comparisons of (6) and (2), and (1) and (3) confirm the
provisional deduction from Table IV., that the introduction of a
local change in an interval lengthens it subjectively, but the
comparisons of (3) and (5), (3) and (4), and (2) and (1) show
apparently that while the amount of the local change influences the
lengthening of the interval, it does not vary directly with this
latter in all cases, but inversely in the first interval and directly
in the second. This is in itself sufficient to demonstrate that the
chief factors of the influence of locality-change upon the time
interval are connected with the spatial localization of the areas
stimulated, but a further consideration strengthens the conclusion and
disposes of the apparent anomaly. It will be noticed that in general
the decrease in the comparative length of the first interval produced
by increasing the spatial change is less than the increase in the
comparative length of the second interval produced by a corresponding
change. In other words, the disparity between the results for the two
types of test is greater, the greater the spatial distance introduced.
The results seem to point to the existence of two distinct factors in
the so-called ‘constant error’ in these cases: first, what we may call
the bare constant error, or simply the constant error, which appears
when the conditions of stimulation are objectively the same as regards
both intervals, and which we must suppose to be present in all other
cases; and second, the particular lengthening effect which a change
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