# Bauhaus-Universität Weimar

### Volltext Experimental Psychology: A Manual of Laboratory Practice, Vol. II: Quantitative Experiments, part 1: Student's Manual (2 (1))

Titel:
Experimental Psychology: A Manual of Laboratory Practice, Vol. II: Quantitative Experiments, part 1: Student's Manual
Person:
Titchener, Edward B.
PURL:
https://digitalesammlungen.uni-weimar.de/viewer/image/lit16066/146/
```IOO
The Metrie Methods
By help of this Table we may write the equations
tx={Dx—RL)h,
t2 = (D2—RL)h,
t7 — (D7—RL)h
in numerical form, as follows :
—0.9062 = (0.5 —RL)h,
—0.7639 = ( i. o—RL)k,
—0.1791 = (1.5 —RL)h,
0.2725 = (2.0 ~RL)h,
0-595 i = (3-°—RL)h,
0.7965 = (4.0—RL)h,
i.2Z79 = {S.o—RL)h.
These equations can be solved, for RL and h, by the Method of
Least Squares.
So far, so good ! We are not yet, however, out of the mathe¬
matical wood. If we were to solve the equations as they stand,
we should be making a mistake in theory, and a mistake which
is by no means always negligible in practice. We should be pro-
ceding as if 4, 4, etc., were observed values. Now the values
really observed are not these /-values, but the «-values. We
must, therefore, seek (so to say) to transform the lvalues into
observed values ; and we may do this by compensating the error
which their direct treatment as observed values would involve.
We may do it, in other words, by weighting the /-values.
Each of the values nx, n2, etc., has a weight w' proportional to
the number of observations upon which it is based. This value
w' must for our purposes be multiplied by a coefficient w", to
be determined from the following Table. Then the products
w\ w"u w'a w"t, etc., are the required weights of the values
ti, 4, etc.
```

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