Hostname: page-component-5f745c7db-q8b2h Total loading time: 0 Render date: 2025-01-06T06:47:54.644Z Has data issue: true hasContentIssue false

Denoting the Base-Free Measure of Change

Published online by Cambridge University Press:  01 January 2025

Samuel Messick*
Affiliation:
Educational Testing Service
*
Requests for reprints should be sent to Samuel Messick, Educational Testing Service, Princeton NJ 08541.

Abstract

Bond criticized the base-free measure of change proposed by Tucker, Damarin, and Messick by pointing to an incorrect derivation which is here viewed instead as a correct derivation entailing an inadequately specified tacit assumption. Bond's revision leads to estimates of the correlation between initial position and change which are negatively biased by correlated errors, whereas the original approach, with the tacit assumption properly denoted, leads to unbiased values.

Type
Notes And Comments
Copyright
Copyright © 1981 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anderson, J. E. The limitations of infant and preschool tests in the measurement of intelligence. Journal of Psychology, 1939, 8, 351379.CrossRefGoogle Scholar
Bloom, B. S. Stability and change in human characteristics, 1964, New York: Wiley.Google Scholar
Bond, L. On the base-free measure of change proposed by Tucker, Damarin, and Messick. Psychometrika, 1979, 44, 351355.CrossRefGoogle Scholar
Bryk, A. S. & Weisberg, H. I. Use of the nonequivalent control group design when subjects are growing. Psychological Bulletin, 1977, 84, 950962.CrossRefGoogle Scholar
Lacey, J. I. & Lacey, B. C. The law of initial value in the longitudinal study of autonomic constitution: Reproducibility of autonomic responses and response patterns over a four year interval. In Wolf, W. M. (Ed.), Rythmic functions in the living system. Annals of the New York Academy of Sciences, 1962.Google Scholar
Thorndike, R. L. Intellectual status and intellectual growth. Journal of Educational Psychology, 1966, 57, 121127.CrossRefGoogle ScholarPubMed
Tucker, L. R. Comment on a note on a base-free measure of change. Psychometrika, 1979, 44, 357357.CrossRefGoogle Scholar
Tucker, L. R, Damarin, F. & Messick, S. A base-free measure of change. Psychometrika, 1966, 31, 457473.CrossRefGoogle ScholarPubMed
Zieve, L. Note on the correlation of initial scores with gains. Journal of Educational Psychology, 1940, 31, 391394.CrossRefGoogle Scholar