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Maman A. Djauhari
Department of Mathematics, Institut Teknologi Bandung
Mathematics

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A Primary Tool For Measuring Nominal Association; a Survey on Proportional Reduction in Variance Maman A. Djauhari
Jurnal Matematika & Sains Vol 2, No 1 (1997)
Publisher : Institut Teknologi Bandung

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Abstract

Let Y and X be interval variables. Proportional reduction in variance (PRV) of Y given X is equal to the R2 or coefficient of determination of Y with respect to X. This phenomenon can be generalized to more than one explanatory variables. It describes the PRV from the marginal distribution to the conditional distribution of response Y. This paper deals with PRV as a primary tool for measuring nominal association. Several situations will be considered. It will be discussed its relationship with Goodman and Kruskal tau, proportional reduction in uncertainty (PRU) defined by Bui Quoc through Shannon entropy, canonical correlation through Bertier and Tenenhaus’s optimal coding, and also with RV coefficient.
Operators Averaging And Its Application In Qualitative Variables Selection Maman A. Djauhari
Jurnal Matematika & Sains Vol 3, No 1 (1998)
Publisher : Institut Teknologi Bandung

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Abstract

We introduce two mathematical propositions which will be developed for constructing a method for qualitative variables selection based on RV coefficient in the frame of Multiple Correspondence Analysis. Based on those propositions, variables selection will be transformed to the selection of set of Escoufier’s operators where its average maximizes the RV coefficient. The result is very promising. We will compare it to Escoufier’s method1).
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