Table XI expresses the results of Table II, with the scores given in
percentile values. In each test, the group was taken as composed of the
two scores of every individual--the total number of scores in tests and
retests, eliminating those scores where the other member of the pair was
lacking, or where no retest was given. Thus case number 1 was just
within the lowest 27% of the group in weight at the first weighing, but
had advanced to the 44 percentile at the second. In height he gained
from the 25 percentile to the 40 percentile. His total gain in all tests
is 30 percentile out of a possible 415, and the average gain is..05. The
reader may see by scanning the table that the gains in the test group
are practically equaled by those in the control group. There seems to be
no consistent relationship between a low score in the first test and a
large gain. This is true even though the method of calculation tends to
minimize gains at the high end of the group, and losses at the low end.
In table XII this may be seen more clearly in respect to I.Q. and the
results for all the tests taken together with the I.Q. weighted by being
counted twice. A large possible gain indicates that the score at the
first testing was low, and vice versa. Considering I.Q. values, the
largest possible gain in the test group was 95 per cent of the group.
This occurred twice, in one case the actual gain being 7% of the group
and in the other 2%. In the control group, the largest possible gain was
97% of the group, but actually this case fell 1% of the group. If we
correlate possible gain with actual gain for each group, using the
formula r = 2sin(([Pi]/6)[Rho]) when [Rho] = 1 - ((6 [Sum] D squared)/(n(n squared-1)))
we get a coefficient of correlation .36 in the test group, and .19
TABLE XII
Showing gains in percentile rating for I.Q., and for a total of all the
tests with I.Q. weighted by being counted twice.
I.Q. Total
A B
1st 2d possible actual possible actual Av. Gain
P.R. P.R. gain gain gain gain
1 25 27 75 2 415 30 5
1C 21 15 79 -6 462 53 8.9
2 84 89 16 5 416 38 6.3
2C 45 51 55 6 358 - 7 -1.1
3 49 44 51 -5 328 40 6.6
3C 25 32 75 7 287 30 5
4 59 59 41 0 168 22 7.3
4C 27 32 73 5 195 42 14
5 53 71 47 18 213 42 14
5C 89 90 11 1 133 24 8
Public-domain text, read in full here on John Shaqi.
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