On a Metric, Unidimensional Unfolding Model for Attitudinal and Developmental Data
- 1 December 1977
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 42 (4) , 523-548
- https://doi.org/10.1007/bf02295977
Abstract
If stimulus responses are linearly related to squared distances between stimulus scale values and person scores along a latent continuum, (a) the stimulus × stimulus correlation matrix will display a simplex-like pattern, (b) the signs of first-order partial correlations can be specified in an empirically testable manner, and (c) the variables will have a semicircular, two-factor structure. Along the semicircle, variables will be ordered by their positions on the latent dimension. The above results suggest procedures for examining the appropriateness of the model and procedures for ordering the stimuli. Applications to developmental and attitudinal data are discussed.Keywords
This publication has 15 references indexed in Scilit:
- Latent Roots of Random Data Correlation Matrices with Squared Multiple Correlations on the Diagonal: A Monte Carlo StudyPsychometrika, 1976
- Judging the important issues in moral dilemmas: An objective measure of development.Developmental Psychology, 1974
- The development of moral thought: Review and evaluation of Kohlberg's approach.Psychological Bulletin, 1974
- On the detection of structure in attitudes and developmental processes.Psychological Review, 1973
- On metric multidimensional unfoldingPsychometrika, 1970
- Some Statistical Considerations in Multidimensional ScalingPsychometrika, 1969
- The meaning and measurement of ego development.American Psychologist, 1966
- A Generalization of the Interpoint Distance ModelPsychometrika, 1964
- On a Connection Between Factor Analysis and Multidimensional UnfoldingPsychometrika, 1960
- Some necessary conditions for common-factor analysisPsychometrika, 1954