The accomplishment ratio : $b A treatment of the inherited determinants of disparity in school productFranzen, Raymond
Science
The accomplishment ratio : $b A treatment of the inherited determinants of disparity in school product
Franzen, Raymond
Ability -- Testing; Educational psychology; Educational tests and measurements
Nov. 1918,
June and Nov. 1919 June 1920
IQ and AQ .925 .946
IQ and VQ .924 .946
IQ and RQ .936 .953
IQ and CQ .941 .955
The limits of the June, 1920 _r_’s are naturally somewhat larger than
the others since two forms of tests (except the Binet) were used; the
unreliability of the quantitative indices is therefore lower and hence
the correlation with IQ may be larger.
The correlations in 1920 of another group—the whole school except Grade
III—are reproduced in Table 5. Grade III was excluded since here there
had as yet been little chance to push the _r_’s. Partials were obtained
with these data (Table 6). Little faith may be placed in the relative
sizes of these partials, much because the _r__{VQ.RQ} is here only .73
and, in the data presented in Table 3, it is .87. This is due to the
fact that the data in Table 3 cover all periods (2 years) while those
in Table 5 cover only one. This difference has comparatively slight
influence on our general conclusions; but it makes a huge difference
in the correlation of RQ and VQ when IQ is rendered constant, whether
the one or the other set of data is used. Moreover, the whole logic of
arguing for general factors by reduction of partial correlations from
the original _r_ has been called gravely into question in Godfrey H.
Thomson’s recent work on this subject: “The Proof or Disproof of the
Existence of General Ability.” Thomson shows that partial correlation
gives one possible interpretation of the facts, but not an inevitable
one. Thus we cannot say that because RQ and IQ and RQ and AQ are highly
correlated, correlation of IQ and AQ is dependent upon RQ. We can say,
however, that it is likely to be. IQ and AQ may be correlated by reason
of inclusion of some element not included at all in RQ. The higher the
correlations which we deal with the less we need worry about this, and of
course correlations of unity exclude any such consideration.
TABLE 5
INTERCORRELATION OF ALL QUOTIENTS IN JUNE, 1920. ALL CHILDREN EXCLUSIVE
OF GRADE 3 ARE HERE REPRESENTED
The P.E.’s are all less than .05
_N_ = 81
Arithmetic Vocabulary Reading
IQ Quotient Quotient Quotient
Arithmetic Quotient .733
Vocabulary Quotient .837 .628
Reading Quotient .758 .694 .734
Completion Quotient .821 .770 .825 .801
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