Comparing Distributions of Ordinal Data

33 Pages Posted: 30 Mar 2020

See all articles by Stephen P. Jenkins

Stephen P. Jenkins

London School of Economics & Political Science (LSE) - Department of Social Policy and Administration; Institute for the Study of Labor (IZA); University of Essex - Institute for Social and Economic Research (ISER)

Abstract

To compare distributions of ordinal data such as individuals' responses on Likert-type scale variables summarizing subjective well-being, we should not apply the toolbox of methods developed for cardinal variables such as income. Instead we should use an analogous toolbox which takes account of the ordinal nature of the responses. This paper reviews these methods and introduces a new Stata command ineqord for undertaking distributional comparisons. As the empirical illustrations demonstrate, ineqord can be used for dominance checks as well as for estimation of indices of polarization and inequality.

Keywords: inequality, ordinal data, subjective well-being, life satisfaction, Annual Population Survey

JEL Classification: D31, D63, I31

Suggested Citation

Jenkins, Stephen P., Comparing Distributions of Ordinal Data. IZA Discussion Paper No. 13057, Available at SSRN: https://ssrn.com/abstract=3562847

Stephen P. Jenkins (Contact Author)

London School of Economics & Political Science (LSE) - Department of Social Policy and Administration ( email )

Houghton Street
London, England WC2A 2AE
United Kingdom

Institute for the Study of Labor (IZA)

P.O. Box 7240
Bonn, D-53072
Germany

University of Essex - Institute for Social and Economic Research (ISER) ( email )

Wivenhoe Park
Colchester CO4 3SQ
United Kingdom
+44 120 687 3374 (Phone)
+44 120 687 3151 (Fax)

Here is the Coronavirus
related research on SSRN

Paper statistics

Downloads
19
Abstract Views
76
PlumX Metrics