Component Analysis in Cross-Sectional and Longitudinal Data
- 1 March 1988
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 53 (1) , 123-134
- https://doi.org/10.1007/bf02294198
Abstract
An extension of component analysis to longitudinal or cross-sectional data is presented. In this method, components are derived under the restriction of invariant and/or stationary compositing weights. Optimal compositing weights are found numerically. The method can be generalized to allow differential weighting of the observed variables in deriving the component solution. Some choices of weightings are discussed. An illustration of the method using real data is presented.Keywords
This publication has 9 references indexed in Scilit:
- Rotation to Perfect Congruence and the Cross Validation of Component Weights Across PopulationsMultivariate Behavioral Research, 1986
- On Component AnalysesPsychometrika, 1985
- Adolescent Personality Development and Historical Change: 1970-1972Monographs of the Society for Research in Child Development, 1974
- Linear Statistical Inference and its ApplicationsPublished by Wiley ,1973
- Simultaneous Factor Analysis of Several Gramian MatricesPsychometrika, 1966
- Image Theory for the Structure of Quantitative VariatesPsychometrika, 1953
- X. On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random samplingJournal of Computers in Education, 1900