The Relative Error Magnitude in Three Measures of Change
- 1 June 1982
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 47 (2) , 141-147
- https://doi.org/10.1007/bf02296271
Abstract
Formulas for the standard error of measurement of three measures of change—simple difference scores, residualized difference scores, and the measure introduced by Tucker, Damarin, and Messick—are derived. Equating these formulas by pairs yields additional explicit formulas which provide a practical guide for determining the relative error of the three measures in any pretest-posttest design. The functional relationship between the standard error of measurement and the correlation between pretest and posttest observed scores remains essentially the same for each of the three measures despite variations in other test parameters (reliability coefficients, standard deviations), even when pretest and posttest errors of measurement are correlated.Keywords
This publication has 8 references indexed in Scilit:
- Denoting the Base-Free Measure of ChangePsychometrika, 1981
- On the Base-Free Measure of Change Proposed by Tucker, Damarin and MessickPsychometrika, 1979
- The Reliability of Difference Scores When Errors Are CorrelatedEducational and Psychological Measurement, 1977
- The Determination of the Significance of Change Between Pre- and Posttesting PeriodsReview of Educational Research, 1977
- A Base-Free Measure of ChangePsychometrika, 1966
- Correlational Methods in Research on Human LearningPerceptual and Motor Skills, 1962
- Theory of mental tests.Published by American Psychological Association (APA) ,1950