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DISSONANCE — A MEASURE OF VARIABILITY FOR ORDINAL RANDOM VARIABLES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001
We look at the issue of obtaining a variance like measure associated with probability distributions over ordinal sets. We call these dissonance measures. We specify some general properties desired in these dissonance measures. The centrality of the cumulative distribution function in formulating the concept of dissonance is pointed out.
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HOMOGENEOUS FORMS IN TWO ORDINAL VARIABLES

Mathematical Logic Quarterly, 1984
In this paper some ordinal-valued ''diophantine'' equations are studied. If t, \(c_{r,s}\) are finite, the number of y's, for which \[ FD(x,y)=x^ tc_{t,0}+x^{t-1}yc_{t-1,1}+...+y^ tc_{0,t}=\alpha \] is solvable (\(\alpha\) is a fixed infinite ordinal), is finite. If such a y is infinite, x is the smallest solution, then \(FD(x+z,y)=\alpha\) iff \(z+y=y\
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Ordinal variables

1989
Abstract In the analysis of categorical data, ordinal variables are commonly encountered. The categories are known to have an order but knowledge of the scale is insufficient to consider them as forming a metric. Although they may be treated simply as nominal categories, as in the first two chapters, valuable information is being lost ...
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Regression for ordinal variables without underlying continuous variables

Information Sciences, 2006
Several techniques exist nowadays for continuous (i.e. numerical) data analysis and modeling. However, although part of the information gathered by companies, statistical offices and other institutions is numerical, a large part of it is represented using categorical variables in ordinal or nominal scales.
Vicenç Torra   +3 more
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A Latent Variable Model for Ordinal Variables

Applied Psychological Measurement, 2000
A full-information maximum likelihood method for fitting a multidimensional latent variable model to a set of ordinal observed variables is discussed. This method is an implementation of a general class of models for ordinal variables, and for regression models with one ordinal dependent variable and all explanatory variables observed.
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Asymmetry for ordinal variables

Statistica & Applicazioni : V, 2, 2007, 2007
This paper proposes, for ordinal variables, and index of asymmetry based on the cumulative and retrocumulative frequencies. The paper shows that this new index has a connection with the bipolar mean, recently introduced by Maffenini and Zenga(2006).
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Regression Models with Ordinal Variables

American Sociological Review, 1984
Most discussions of ordinal variables in the sociological literature debate the suitability of linear regression and structural equation methods when some variables are ordinal. Largely ignored in these discussions are methods for ordinal variables that are natural extensions of probit and logit models for dichotomous variables.
Christopher Winship, Robert D. Mare
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A PC algorithm variation for ordinal variables

Computational Statistics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Statistical Models for Ordinal Variables.

Contemporary Sociology, 1995
Mark von Tress   +2 more
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Latent Variable Models for Clustered Ordinal Data

Biometrics, 1995
Existing methods for the analysis of clustered, ordinal data are inappropriate for certain applications. We propose latent variable models for clustered ordinal data which are derived as natural extensions of latent variable models for clustered binary data (Qu, Williams, Beck, and Medendorp, 1992. Biometrics 48, 1095-1102). These models can be applied
Qu, Yinsheng   +2 more
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