Piecewise Method of Reciprocal Averages for Dual Scaling of Multiple-Choice Data
- 1 December 1980
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 45 (4) , 467-478
- https://doi.org/10.1007/bf02293609
Abstract
The proposed method handles the classical method of reciprocal averages (MRA) in a piecewise (item-by-item) mode, whereby one can deal with smaller matrices and attain faster convergence to a solution than the MRA. A new concept “the principle of constant proportionality” is introduced to provide an interesting interpretation for scaling multiple-choice data á la Guttman. A small example is presented for discussion of the technique.Keywords
This publication has 11 references indexed in Scilit:
- Some Results on Proper Eigenvalues and Eigenvectors with Applications to ScalingPsychometrika, 1979
- Correspondence Analysis: A Neglected Multivariate MethodJournal of the Royal Statistical Society Series C: Applied Statistics, 1974
- The biplot graphic display of matrices with application to principal component analysisBiometrika, 1971
- A Unified Treatment of the Weighting ProblemPsychometrika, 1968
- Relations amongm sets of measuresPsychometrika, 1961
- Some Relations between Guttman's Principal Components of Scale Analysis and Other Psychometric TheoryPsychometrika, 1958
- MEASUREMENT OF ASSOCIATION IN A CONTINGENCY TABLE WITH SPECIAL REFERENCE TO THE PIGMENTATION OF HAIR AND EYE COLOURS OF SCOTTISH SCHOOL CHILDRENAnnals of Eugenics, 1941
- THE PRECISION OF DISCRIMINANT FUNCTIONSAnnals of Eugenics, 1940
- Measuring Complex AttitudesThe Journal of Social Psychology, 1935
- A Connection between Correlation and ContingencyMathematical Proceedings of the Cambridge Philosophical Society, 1935