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
The other data, which I have found, that indicate that tested ability,
when measured in equal physical units for the same task, is skewed
toward deficiency, have to do with tests that are pre-eminently for
psychomotor activities rather than intellectual. They consist of
Sylvester's and Young's results with the form board test on Philadelphia
school children, Stenquist's results with his construction test, and
Smedley's results with the ergograph test on Chicago school children.
Here we may apply the better criterion of the distance of the quartiles
above and below the median of the group. These positions would be less
likely, through extreme records, to be affected by chance conditions
during the testing.
It is to be remembered that if the records of school pupils appear to be
normally distributed this would not settle our problem, since it is
apparent that idiots and many imbeciles are not sent to the public
schools at all. The lowest children at any age would not be represented
in the regular school groups. On the other hand, the brightest children
are not generally drawn away from the public schools at least before 14
years of age in this country. We shall confine ourselves, therefore, to
school-children 6-13 years of age. If we find that they show ability
skewed toward deficiency the results will underestimate rather than
over-estimate the skewness.
Sylvester (_191_) tested with the form board a group of 1537 children in
the Philadelphia public schools, from 80 to 221 at each age from 5 to 14
inclusive. “Except that no especially backward or peculiar children were
included there was no selection.” This study gives, with the complete
distribution tables, the number of seconds required for the same task by
the children at each age. If we find that the limit of the lower 25
percentile was farther from the median than the limit of the upper 25
percentile we can be reasonably sure that the difference would be still
greater if the excluded deficient and backward children were also
included. By calculating the quartiles and their differences from the
medians at each age, I find that for only two of the eight ages is the
upper quartile farther from the median than the lower quartile. The
average excess of the distances of the lower quartile is .64 of a
second. At only age 7 is the difference three times its probable error,
2.1 seconds, P. E. .67. The form board distributions thus tend to be
slightly skewed toward deficiency. The errors of the quartiles were
found by the method given in Yule's _Introduction to the Theory of
Statistics_, Chap. XVII, which assumes normal distribution, so that they
are too small. The skewness is more manifest when the extreme
measurements are compared with medians at each age. It is not possible,
unfortunately, to compare his group of normal children with those in the
special classes since he did not use the same method of giving the test.
Public-domain text, read in full here on John Shaqi.
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