The Social Direction of Evolution: An Outline of the Science of EugenicsKellicott, William E. (William Erskine)
Science
The Social Direction of Evolution: An Outline of the Science of Eugenics
Kellicott, William E. (William Erskine)
Eugenics
0.00- no relation.
0.00-0.10--no significant relation.
0.10-0.25--low; relation slight though appreciable.
0.25-0.50--moderate; relation considerable.
0.50-0.75--high; relation marked.
0.75-0.90--very high; relation very marked.
0.90-1.00--nearly complete.
1.00--complete relation.
One further point remains to be considered, which applies not so much
to coefficients of heredity as to coefficients of correlation in
general, i. e., to the relatedness of two different characters or
series of events in a single group of cases or individuals. This is
that coefficients of correlation may be either positive or negative.
That is, the real limits of the value of the coefficient are plus one
and minus one. The example given above of stature of fathers and sons
gives a positive coefficient. Whenever the deviation from the average
of one group is accompanied in the second group by a deviation in the
same direction, the coefficient is positive. A negative correlation
means that deviation from the average in a given direction in the
first group is accompanied in the second group by a deviation in the
opposite direction. If we imagine that as one measurement increased
above its average a second related measurement decreased below its
average the correlation in such a case would be negative. For
instance, if we measured the relation between the number of berry
pickers employed and the quantity of berries remaining unpicked, in a
number of different fields we would get a negative correlation
coefficient. Some organisms are formed in such a way that increase in
one dimension, such as length, is associated with decrease in another,
such as breadth; measurement of the relatedness of these dimensions
would give a coefficient of correlation that might be very high,
indicating a considerable relation in the deviations, but it would be
negative. In an instance of negative correlation the relation is that
of "the more the fewer." As we shall see presently, a negative
correlation may be just as important and significant as a positive
correlation.
The application of the principles of heredity to our subject of
Eugenics is of such great importance that it is reserved for separate
consideration in the next chapter. We may, therefore, devote the
remainder of this chapter to the consideration of data of another
kind, which are commonly treated by this same method of determining
correlation coefficients between two sets of varying phenomena in
order to determine whether there is any actual relation between them
or not. This will serve to illustrate the use of this method.
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