A structural equation model for measuring residualized change and discerning patterns of growth or decline
1993
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A structural equation model for measuring residualized change and discerning patterns of growth or decline
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1993
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Abstract
This paper is concerned with two theoretically
and empirically important issues in longitudinal
research: (1) identifying correlates and predictors of
change and (2) discerning patterns of change. Two
traditional methods of change measurement-the
residualized observed difference and the residualized
gain score-are discussed. A general structural
equation model for measuring residualized true
change and studying patterns of true growth or
decline is described. This approach allows consistent
and efficient estimation of the degree of interrelationship
between residualized change in a repeatedly
assessed psychological construct and other variables,
such as studied/presumed correlates and predictors
of growth or decline on the latent dimension. Substantively
interesting patterns of change on the
trait level, such as regression to the mean, overcrossing,
and fan-spreading, can be discerned. The
model is useful in research situations in which it is
of theoretical and empirical concern to identify
those variables that correlate with, or can be used
to predict, such patterns of true growth or decline
that deviate from a group-specific trend in
longitudinally-measured psychological constructs.
The approach is illustrated using data from a cognitive
intervention study of plasticity in fluid intelligence
of aged adults (Baltes, Dittmann-Kohli, &
Kliegl, 1986). Index terms: correlates of growth/
decline, fan-spreading, measurement of change, overcrossing,
predictors of growth, regression to the
mean, structural equations modeling, true change.
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Raykov, Tenko. (1993). A structural equation model for measuring residualized change and discerning patterns of growth or decline. Applied Psychological Measurement, 17, 53-71. doi:10.1177/014662169301700110
Suggested citation
Raykov, Tenko. (1993). A structural equation model for measuring residualized change and discerning patterns of growth or decline. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/116307.
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