Projection of a Binary Criterion into a Model of Hierarchical Classes
- 1 December 1990
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 55 (4) , 677-694
- https://doi.org/10.1007/bf02294616
Abstract
A formal analysis is made of how to project an attribute criterion into the hierarchical classes model for object by attribute data proposed by De Boeck and Rosenberg. The projection is conceptualized as the prediction of the attribute criterion by means of a logical rule defined on the basis of attribute combinations from the model. Eliminative and constructive strategies are proposed to find logical rules with maximal predictive power and minimal formula complexity. Logical analyses of a real data set are reported and compared with a logistic regression to demonstrate the usefulness of the logical strategies, and to show the complementarity of logical and probabilistic approaches.Keywords
This publication has 8 references indexed in Scilit:
- Hierarchical Classes: Model and Data AnalysisPsychometrika, 1988
- Ideal Point Discriminant AnalysisPsychometrika, 1987
- Minimization of Boolean functions of any number of variables using decimal labelsInformation Sciences, 1983
- Bootstrap Methods: Another Look at the JackknifeThe Annals of Statistics, 1979
- Grouping table for the minimisation of n-variable boolean functionsProceedings of the Institution of Electrical Engineers, 1978
- Minimization of Boolean FunctionsIEEE Transactions on Computers, 1971
- Problems in the Analysis of Survey Data, and a ProposalJournal of the American Statistical Association, 1963
- Measures of Association for Cross Classifications III: Approximate Sampling TheoryJournal of the American Statistical Association, 1963