Traditional psychometric procedures can be inadequate
for the measurement of dynamic constructs in
longitudinal panel studies. This paper introduces an alternative
based on the longitudinal Guttman simplex
(LGS) model,a measurement model developed especially
for dynamic constructs measured longitudinally.
The LGS is a model of cumulative, unitary development.
It is cumulative in the sense that as persons acquire
new skills (or abilities, or opinions), earlier obtained
skills are retained; it is unitary in the sense that
all persons progress through a sequence of skills in the
same skill order. CL, a consistency index that gives
the researcher a measure of the extent to which the
LGS model axioms are obeyed in a given dataset, is
introduced. By making use of this consistency index,
the researcher can develop scales uniquely sensitive to
cumulative, unitary development. LGSCLUS, an exploratory
procedure to find longitudinal Guttman scales in
empirical datasets, is described. An artificial data
study is reported, the purpose of which was to test the
performance of LGSCLUS under controlled conditions.
The artificial data study showed that, in general,
LGSCLUS recovers longitudinal Guttman scales with a
high degree of accuracy. There remains a need for
measurement procedures for dynamic constructs exhibiting
types of development other than cumulative and
unitary. Index terms: Dynamic constructs, Guttman
simplex, Longitudinal panel studies, Mathematical
models, Measurement theory, Scaling, Three-set data.
Collins, Linda M, Cliff, Norman & Dent, Clyde W. (1988). The longitudinal Guttman simplex: A new methodology for measurement of dynamic constructs in longitudinal panel studies. Applied Psychological Measurement, 12, 217-230. doi:10.1177/014662168801200301
Collins, Linda M.; Cliff, Norman; Dent, Clyde W..
The longitudinal Guttman simplex: A new methodology for measurement of dynamic constructs in longitudinal panel studies.
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