APPLICATION OF THEORIES OF PROBABILITY TO EUGENICS.

Eugenics seeks for quantitative results. It is not contented with such

vague words as ‘much’ or ‘little,’ but endeavours to determine ‘how

much’ or ‘how little’ in precise and trustworthy figures. A simple

example will show the importance of this. Let us suppose a class of

persons, called _A_, who are afflicted with some form and some specified

degree of degeneracy, as inferred from personal observations, and from

family history, and let class _B_ consist of the offspring of _A_. We

already know only too well that when the grade of _A_ is very low, that

of the average _B_ will be below par and mischievous to the community,

but how mischievous will it probably be? This question is of a familiar

kind, easily to be answered when a sufficiency of facts have been

collected. But a second question arises. What will be the

trustworthiness of the forecast derived from averages when it is applied

to individuals? This is a kind of question that is not familiar, and

rarely taken into account, although it too could be answered easily as

follows. The average mischief done by each _B_ individual to the

community may for brevity be called _M_: the mischiefs done by the

several individuals differ more or less from _M_ by amounts whose

average may be called _D_. In other words _D_ is the average amount of

the individual deviations from _M_. _D_ thus becomes the measure of

untrustworthiness. The smaller _D_ is, the more precise the forecast,

and the stronger the justification for taking such drastic measures

against the propagation of class _B_ as would be consonant to the

feelings if the forecast were known to be infallible. On the other hand,

a large _D_ signifies a corresponding degree of uncertainty, and a risk

that might be faced without reproach through a sentiment akin to that

expressed in the maxim ‘It is better that many guilty should escape than

that one innocent person should suffer.’ But that is not the sentiment

by which natural selection is guided, and it is dangerous to yield far

to it.

There can be no doubt that a thorough investigation of the kind

described, even if confined to a single grade and to a single form of

degeneracy, would be a serious undertaking. Masses of trustworthy

material must be collected, usually with great difficulty, and be

afterwards treated with skill and labour by methods that few at present

are competent to employ. An extended investigation into the good or evil

done to the State by the offspring of many different classes of persons,

some of civic value, others the reverse, implies a huge volume of work

sufficient to occupy Eugenics laboratories for an indefinite time.

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