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
Perhaps the most interesting characteristic of the percentage method is
that it automatically adjusts itself to any form of distribution. In
case the distributions of ability turn out to be normal for each age and
the arrests of development for different degrees of ability distribute
alike, then the borderline fixed by the percentage method becomes
identical with the corresponding borderlines by the quotient, deviation,
or relative objective distance. It can be directly translated into a
quotient or a multiple of the standard deviation. This fact affords a
good check upon the empirical borderlines fixed by the percentage method
for different ages. If the distribution is normal, the lowest 1.5% and
0.5% would be identical with -2.17 S. D. and -2.575 S. D. in samples of
10,000 cases. We may check these percentage borderlines by Goddard's
results for ages 5-11 tested with the 1908 Binet scale. I have given the
standard deviation for the ages 5-11 with this data in Chap. XIII a, 2.
Applying the criterion of 2.575 S. D. to these deviations, we find that
to be in the lowest 0.5%, if the distribution were normal, would be
about a year less of deficiency than we have suggested, while Pearson's
borderline of -4 S. D. would be close to that we suggest. The empirical
data thus suggest that the assumption of a normal distribution is faulty
at the borderline or else Goddard's data is incorrect for fixing the
limits on the scales. I have already given the evidence for supposing
that the distribution is skewed during the years of growth.
When approximately random samples are not available, a multiple of the
deviation of an efficient group such as -4 S. D. at the particular age
seems to afford a practical way of discovering a tentative borderline
until a random sample can be measured. The serious theoretical
objections to such a procedure as a regular method is that the efficient
group would be selected by the subjective standard of somebody's opinion
and that the form of distribution of ability may vary from age to age.
Public-domain text, read in full here on John Shaqi.
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