Polarization measurement for ordinal data

Kobus, Martyna

doi:10.1007/s10888-014-9282-y

Cited by 28 publications

(28 citation statements)

References 23 publications

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“…The challenges associated with measuring well-being and inequality using an ordinal variable in an axiomatic framework have received due attention during the last few decades (e.g., Mendelson, 1987;Allison and Foster, 2004;Apouey, 2007;Abul Naga and Yalcin, 2008;Zheng, 2011;Kobus and Milos, 2012;Permanyer and D'Ambrosio, 2015;Kobus, 2015;Lazar and Silber, 2013;Yalonetzky, 2013;Gravel et al, 2015). Yet, when assessing poverty, such efforts have not been sufficiently thorough.…”

Section: Introductionmentioning

confidence: 99%

Assessing Deprivation with an Ordinal Variable: Theory and Application to Sanitation Deprivation in Bangladesh

Seth

Yalonetzky

2020

The World Bank Economic Review

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The challenges associated with poverty measurement using a cardinal variable have received much attention over the past four decades, but there is a dearth of literature on how to meaningfully assess poverty with an ordinal variable. This article proposes a class of simple, intuitive, and policy-relevant poverty measures for ordinal variables. The measures are sensitive to the depth of deprivations, unlike the headcount ratio. Moreover, under appropriate restrictions, the measures ensure that priority is given to the poorest among the poor when targeting, monitoring, and evaluating poverty alleviation programs. To assess the robustness of poverty comparisons to alternative choices of parameters, the article develops various stochastic dominance tests (some of which are novel contributions to the stochastic dominance literature). The empirical illustration documenting changes in sanitation deprivation in Bangladesh showcases the measures’ ability to identify instances in which overall sanitation deprivation improved while leaving the poorest behind.

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Section: Introductionmentioning

confidence: 99%

Assessing Deprivation with an Ordinal Variable: Theory and Application to Sanitation Deprivation in Bangladesh

Seth

Yalonetzky

2020

The World Bank Economic Review

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“…Here the mean changes depending on the assigned scale and consequently the conclusions of distributional comparisons change too, which is undesirable (e.g. see examples in Allison and Foster 2004;Kobus 2015).…”

Section: Introductionmentioning

confidence: 99%

“…This has been considered by various authors i.e. Allison and Foster 2004;Apouey 2007;Abul Naga and Yalcin 2008;Zheng 2011; Kobus and Miłoś 2012;Dutta and Foster 2013;Kobus 2015;Lv, Wang, and Xu 2015, Gravel, Magdalou, and Moyes 2015, Cowell and Flachaire 2017 These authors deal mostly with the case when QoL is proxied by a single variable. The literature on multidimensional ordinal variables is very preliminary.…”

Section: Introductionmentioning

confidence: 99%

Inequality and Welfare in Quality of Life Among OECD Countries: Non-parametric Treatment of Ordinal Data

2018

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“…How can the depth of deprivations be reasonably captured in the case of ordinal variables? The challenges associated with measuring well-being and inequality using an ordinal variable in an axiomatic framework have received due attention during the last few decades (e.g., Mendelson, 1987;Allison and Foster, 2004;Apouey, 2007;Abul Naga and Yalcin, 2008;Zheng, 2011;Kobus and Milos, 2012;Permanyer and D'Ambrosio, 2015;Kobus, 2015;Lazar and Silber, 2013;Yalonetzky, 2013;Gravel et al, 2015). Yet, when assessing poverty, such efforts have not been sufficiently thorough.…”

Section: Introductionmentioning

confidence: 99%

Assessing Deprivation with Ordinal Variables: Depth Sensitivity and Poverty Aversion

Seth

Yalonetzky

2018

SSRN Journal

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The challenges associated with poverty measurement within an axiomatic framework, especially with cardinal variables, have received due attention during the last four decades. However, there is a dearth of literature studying how to meaningfully assess poverty with ordinal variables, capturing the depth of deprivations. In this paper, we first propose a class of additively decomposable ordinal poverty measures and provide an axiomatic characterisation using a set of basic foundational properties. Then, in a novel effort, we introduce a set of properties operationalising prioritarianism in the form of different degrees of poverty aversion in the ordinal context, and characterise relevant subclasses. We demonstrate the efficacy of our methods using an empirical illustration studying sanitation deprivation in Bangladesh. We further develop related stochastic dominance conditions for all our characterised classes and subclasses of measures. Finally, we elucidate how our ordinal measurement framework is related to the burgeoning literature on multidimensional poverty measurement.

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Polarization measurement for ordinal data

Cited by 28 publications

References 23 publications

Assessing Deprivation with an Ordinal Variable: Theory and Application to Sanitation Deprivation in Bangladesh

Assessing Deprivation with an Ordinal Variable: Theory and Application to Sanitation Deprivation in Bangladesh

Inequality and Welfare in Quality of Life Among OECD Countries: Non-parametric Treatment of Ordinal Data

Assessing Deprivation with Ordinal Variables: Depth Sensitivity and Poverty Aversion

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