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Mean Location and Gini-like Inequality measures for Multivariate Ordinal Variates: Examining the Progress of Health Outcomes in Pre Covid United Kingdom

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  • Gordon Anderson

Abstract

The ever-expanding use of ordinal data is usually facilitated by artificial attribution of cardinal scale to ordered categories. Such practices have been shown to lead to ambiguous and equivocal results. Here a probabilistic distance construct is employed to develop unambiguous level and inequality measures for ordinal situations analogous to the Mean and Gini coefficient used in cardinally measurable paradigms. The commonality of the probabilistic distance measure across dimensions means that the measures are readily extended to multidimensional situations. The measures are exemplified in an analysis of the progress of health outcomes in pre-covid 21st century United Kingdom

Suggested Citation

  • Gordon Anderson, 2025. "Mean Location and Gini-like Inequality measures for Multivariate Ordinal Variates: Examining the Progress of Health Outcomes in Pre Covid United Kingdom," Working Papers tecipa-804, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:tecipa-804
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    JEL classification:

    • I14 - Health, Education, and Welfare - - Health - - - Health and Inequality
    • H11 - Public Economics - - Structure and Scope of Government - - - Structure and Scope of Government
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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