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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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Latent Variable Models for Clustered Ordinal Data
Biometrics, 1995Existing 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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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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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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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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