Inequality in Education: A Comparison of Australian Indigenous and Nonindigenous Populations

Gunawan David (), Griffiths William and Chotikapanich Duangkamon
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Gunawan David: University of Wollongong, Wollongong, Australia
Griffiths William: University of Melbourne, Melbourne, Australia
Chotikapanich Duangkamon: Monash University, Melbourne, Australia

Statistics, Politics and Policy, 2022, vol. 13, issue 1, 57-72

Abstract: Data from the Household Income and Labour Dynamics in Australia Survey is used to estimate distributions for the level of educational attainment for Australian indigenous and nonindigenous populations for the years 2001, 2006, 2014 and 2017. Bayesian inference is used to analyse how these ordinal categorical distributions have changed over time and to compare indigenous and nonindigenous distributions. Both the level of educational attainment and inequality in educational attainment are considered. To compare changes in levels over time, as well as inequality between the two populations, first order stochastic dominance and an index of educational poverty are used. To examine changes in inequality over time, two inequality indices and generalised Lorenz dominance are considered. Results are presented in terms of posterior densities for the indices and posterior probabilities for dominance for the dominance comparisons. We find some evidence of improvement over time, especially in the lower parts of the indigenous distribution and that inequality has significantly increased from 2001 to 2017.

Keywords: ordinal categorical data; dominance probabilities; inequality measures (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1515/spp-2021-0026

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