A FIRST EXPERIMENT
33
est in the second test was eighth in production, and the
girl who was second was fifth in production, etc. There
may be a difference all along the line, showing that there
was a lack of agreement or a low correlation between the
performance of the girls in this test and their performance
at their regular work.
In every case, the degree of agreement or correlation
between tests and production is determined, not by guess
work, but with mathematical exactness, by means of the
method already described and certain simple formulae dis
cussed in the Appendix under the heading Correlations .
It would be too cumbersome to go into further details on
this subject here. Suffice it that the degree of correspond
ence between two sets of rankings, the ranks of a group
°f subjects in production and their ranks in a given test,
can vary between plus i.oo and minus i.oo. Plus i.oo
is a perfect correlation. Minus i.oo is an absolutely
negative correlation. Plus .70 or .60 is considered good
for shop and factory conditions. A test which, under
factory conditions, shows a correlation with production
°f .40 or more is considered a valuable or a significant
test.
The method of computing the value of tests just de
scribed was applied carefully to each of the tests given in
this experiment with the following results:
Table of Correlations
Card sorting 5®
Tapping x 4
Cancellation ^3
Easy directions x 4
Number group checking 7 2
Accuracy 3 8
Steadiness 2 4