Harvard Psychological Studies, Volume 1: Containing Sixteen Experimental Investigations from the Harvard Psychological Laboratory.
Science
Harvard Psychological Studies, Volume 1: Containing Sixteen Experimental Investigations from the Harvard Psychological Laboratory.
Psychology, Experimental
Further details will be treated as they come up in the consideration
of the work by groups, into which the experiment naturally falls.
II. EXPERIMENTAL RESULTS.
1. The first group of experiments was undertaken to find the direction
of the constant error for the 5.0 sec. standard, the extent to which
different subjects agree and the effects of practice. The tests were
therefore made with three taps of equal intensity on a single dermal
area. The subject sat in a comfortable position before a table upon
which his arm rested. His hand lay palm down on a felt cushion and the
tapping instrument was adjusted immediately over it, in position to
stimulate a spot on the back of the finger, just above the nail. A few
tests were given on the first finger and a few on the second
alternately throughout the experiments, in order to avoid the numbing
effect of continual tapping on one spot. The records for each of the
two fingers were however kept separately and showed no disagreement.
The detailed results for one subject (_Mr_,) are given in Table I. The
first column, under _CT_, gives the values of the different compared
intervals employed. The next three columns, under _S_, _E_ and _L_,
give the number of judgments of _shorter_, _equal_ and _longer_,
respectively. The fifth column, under _W_, gives the number of errors
for each compared interval, the judgments of _equal_ being divided
equally between the categories of _longer_ and _shorter_.
In all the succeeding discussion the standard interval will be
represented by _ST_, the compared interval by _CT_. _ET_ is that _CT_
which the subject judges equal to _ST_.
TABLE I.
_ST_=5.0 SEC. SUBJECT _Mr._ 60 SERIES.
_CT_ _S_ _E_ _L_ _W_
4. 58 1 1 1.5
4.5 45 11 4 9.5
5. 32 13 15 21.5
5.5 19 16 25 27
6. 5 4 51 7
6.5 1 2 57 2
We can calculate the value of the average _ET_ if we assume that the
distribution of wrong judgments is in general in accordance with the
law of error curve. We see by inspection of the first three columns
that this value lies between 5.0 and 5.5, and hence the 32 cases of
_S_ for _CT_ 5.0 must be considered correct, or the principle of the
error curve will not apply.
The method of computation may be derived in the following way: If we
take the origin so that the maximum of the error curve falls on the
_Y_ axis, the equation of the curve becomes
y = ke^{-[gamma]²x²}
and, assuming two points (x_{1} y_{1}) and (x_{2} y_{2}) on the
curve, we deduce the formula
____________
±D \/ log k/y_{1}
x_{1} = ---------------------------------
____________ ____________
\/ log k/y_{1} ± \/ log k/y_{2}
where D = x_{1} ± x_{2}, and k = value of y when x = 0.
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