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Understanding Correlates of Change by Modeling Individual Differences in Growth

Published online by Cambridge University Press:  01 January 2025

David R. Rogosa  and
John B. Willett
David R. Rogosa*
Affiliation:
Stanford University
John B. Willett
Affiliation:
Stanford University
*
Requests for reprints shoulc be sent to David Rogosa, School of Education, Stanford University, Stanford CA 94305.
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Abstract

The study of correlates of change is the investigation of systematic individual differences in growth. Our representation of systematic individual differences in growth is built up in two parts: (a) a model for individual growth and, (b) a model for the dependence of parameters in the individual growth models on individual characteristics. First, explicit representations of correlates of change are constructed for various models of individual growth. Second, for the special case of initial status as a correlate of change, properties of collections of growth curves provide new results on the relation between change and initial status. Third, the shortcomings of previous approaches to the assessment of correlates of change are demonstrated. In particular, correlations of residual change measures with exogenous individual characteristics are shown to be poor indicators of systematic individual differences in growth.

Keywords

longitudinal analysismeasurement of change

Information

Type
Original Paper
Information
Psychometrika , Volume 50 , Issue 2 , June 1985 , pp. 203 - 228
Copyright
Copyright © 1985 The Psychometric Society

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Footnotes

The research reported here was supported by a grant from The Spencer Foundation to the senior author and by the Study of Stanford and the Schools.

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