This study describes the development of a common
factor model for a cross-lagged difference involving
a measure of aural comprehension and an
intellectual composite. The direction of the difference
was that the Listening Test predicted the
composite more accurately than the composite predicted
the Listening Test. A complex model which
allowed seemingly identical common factors appearing
at different ages to be highly, but imperfectly,
correlated fit the 32 x 32 table of intercorrelations
of 16 variables measured at each of two
time periods. The model also described quite
accurately the multiple correlations on which the
cross-lagged difference was based. Aural comprehension
at grade 5 was equidistant from the vectors
of the two general factors at grades 5 and 11; but
aural comprehension at grade 11, while close to the
general factor at grade 11, was outside the space
created by the two general factor vectors. Individual
differences in aural comprehension anticipated by
several years changes in rank on the general factor
as defined by standard tests.
Humphreys, Lloyd G & Parsons, Charles K. (1978). Search for a common factor model to describe a cross-lagged correlation difference. Applied Psychological Measurement, 2, 257-267. doi:10.1177/014662167800200208
Humphreys, Lloyd G.; Parsons, Charles K..
Search for a common factor model to describe a cross-lagged correlation difference.
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