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Classification trees for ordinal variables
Computational Statistics, 2007Classification trees growing algorithms are considered for the case when there is an ordering of the response variable values. New versions of the Gini-Simpson and Twoing criteria are proposed for the choice of the nodes to split, which are consistent with the ordering.
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2018
This chapter examines measures of association designed for two ordinal-level variables that are based on pairwise comparisons of differences between rank scores. Included in Chap. 5 are Kendall’s τa and τb measures of ordinal association, Stuart’s τc measure, Goodman and Kruskal’s γ measure, Somers’ dyx and dxy measures, Kim’s dy⋅x and dx⋅y measures ...
Kenneth J. Berry +2 more
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This chapter examines measures of association designed for two ordinal-level variables that are based on pairwise comparisons of differences between rank scores. Included in Chap. 5 are Kendall’s τa and τb measures of ordinal association, Stuart’s τc measure, Goodman and Kruskal’s γ measure, Somers’ dyx and dxy measures, Kim’s dy⋅x and dx⋅y measures ...
Kenneth J. Berry +2 more
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On the Nonlinearity of Homogeneous Ordinal Variables
2011The paper aims at evaluating the nonlinearity existing in homogeneous ordinal data with a one-dimensional latent variable, using Linear and NonLinear Principal Components Analysis. The results of a simulation study with Probabilistic and Monte Carlo gauges show that, when variables are linearly related, a source of nonlinearity can affect each single ...
CARPITA, Maurizio, MANISERA, Marica
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On the Impact of Misclassification in an Ordinal Exposure Variable
Epidemiologic Methods, 2014Abstract Say that interest focuses on the relationship between an exposure variable and an outcome variable; however, the exposure variable is subject to measurement error. While exceptions have been identified, in almost all circumstances nondifferential measurement error leads to attenuated regression coefficients and lost power to ...
Wang, Dongxu, Gustafson, Paul
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DISSONANCE — A MEASURE OF VARIABILITY FOR ORDINAL RANDOM VARIABLES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001We 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, 1984In 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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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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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 with an Ordinal Dependent Variable Regression with an Ordinal Dependent Variable
2009John G. Orme, Terri Combs-Orme
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