Deficiency and Delinquency: An Interpretation of Mental TestingMiner, James Burt
Science
Deficiency and Delinquency: An Interpretation of Mental Testing
Miner, James Burt
Children with mental disabilities; Juvenile delinquents; Mentally ill offenders; Psychological tests
5. Compared as to their popular significance, there is no doubt that the
lowest 0.5% of the individuals of a particular age has very much more
significance to those not familiar with detailed statistical practise
than a coefficient or a multiple of the standard deviation. A statement
that an adult has only the tested ability of a child of 7 years is
certainly much more impressive than his score in other quantitative
terms. It will probably always be desirable, therefore, to supplement
any other method of scoring by a statement of the individual's test age.
D. THEORETICAL ADVANTAGE OF THE PERCENTAGE METHOD WITH CHANGES IN THE
FORM OF THE DISTRIBUTIONS
With our present series of tests, the percentage method will best
provide a concept of the equivalence of the borderlines at different
ages provided the form of the distribution does not remain uniform. I
discussed this question briefly in connection with units of measurement.
In considering curves of development, I assembled some of the evidence
which makes the assumption of normal distribution or even of a constant
skewness at least uncertain. In my opinion the weight of the evidence is
against the hypothesis that the distributions retain a constant form
during the period of development. If this were clearly demonstrated,
both the ratio methods and deviation would fail to express equivalent
borderlines for the different ages with the Binet scales. A fixed
multiple of the standard deviation or a fixed quotient would exclude
different percentages of the population at each age when the skewness
varied. By reference to Figures 3 and 5, it can be seen that, if our
physical units in which we expressed the measurement were uniform and
ability always extended to the same absolute zero point, it is true that
.01 of the physical units reached by the best at each age would be the
same relative amount of ability of the best at each age, stated in
physical units, _regardless of the form of the distributions_. Such a
concept, however, has an unknown biological or social significance so
far as I can see, except for a constant form of distribution. The same
relative physical score compared with the highest at each age,
theoretically might exclude the lowest 40% of one age group, for
example, and only 10% of another group provided the distribution varied
enough in form. The concept of the same relative amount of ability
measured in physical units, so soon as the form of distribution varies
from age to age, thus loses significance in terms of the struggle for
existence. In that struggle, a vital question is—do the individuals at
different ages have to struggle to overcome the same relative number of
opponents of better ability at their age? If they do, the individuals
might properly be regarded as in equivalent positions in the struggle
for social survival, disregarding how far the next better individual is
above them on the objective scale. This is the concept accepted by the
Public-domain text, read in full here on John Shaqi.
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