Bauhaus-Universität Weimar

Experimental Psychology: A Manual of Laboratory Practice, Vol. II: Quantitative Experiments, part 1: Student's Manual
Titchener, Edward B.
§ 4- Three Problems of Quantitative Psychology xxxiii 
In other words : At what point, upon the intensive noise scale, is 
the given noise distance divided into two sensibly equal noise dis¬ 
tances ? Having determined this point, the middle noise inten¬ 
sity,—which we can do with practice, by help of one of the 
metric methods,—we may go on to ask : What point upon the 
scale lies as far above the upper point of our given distance as 
this lies above the middle point that we have just determined ? 
And again : What point lies as far below the lower point of the 
given distance as this lies below the middle point ? These two 
new points established, we can say that the whole noise distance 
which we have so far explored is the fourfold of our arbitrary 
unit, the half of the original distance. The procedure can then 
be continued above and below, until a wide range of noise inten¬ 
sities has been measured ; i. e., until a considerable section of the 
intensive scale has been marked off in equal sense divisions. 
Fig. i. 
A diagram will simplify matters. Let the horizontal line in 
Fig. i represent the continuous scale of sensation intensity in the 
sphere of noise. We have given the two noises, the two sense 
points, m and o. Our first task is to determine the noise n that 
lies midway, for sensation, between m and o. That done, we 
can take the distance no as given, and increase the intensity of o 
till we each a point p such that no=op. Again, we can take mn 
as given, and decrease m till we reach a point /, such that lm—nm. 
The sense-distance Ip is then four times the sense unit lm=mn= 
no-op. And we can evidently go on to determine q, r, . . . . 
and k,j, ... . in the same manner. 
All that we now have to do, in order to formulate our law of 
correlation, is to write the corresponding stimulus values by the 
side of the unit sense-distances. We have already seen that 
equal stimulus magnitudes do not correspond to equal sense-dis¬ 
tances, i. e., that the law of correlation does not take the form of 
a simple proportionality of the two. We shall now discover what 
other and less simple relation obtains.


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