Measuring rank mobility with variable population size

Bossert, Walter; Can, Burak; D’Ambrosio, Conchita

doi:10.1007/s00355-015-0942-z

Cited by 6 publications

(18 citation statements)

References 10 publications

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“…Rank‐based measures are widely applied in empirical research (see, for example, Dickens ), but as far as we are aware, only a few contributions, such as D'Agostino and Dardanoni (), Cowell and Flachaire () and Bossert et al . (), investigate them from a theoretical perspective.…”

Section: Introductionmentioning

confidence: 99%

“…D'Agostino and Dardanoni () and Bossert et al . () propose rank mobility measures that are based on two dominant measures of non‐parametric rank correlation, namely, Spearman's () ρ index and Kendall's () τ index. D'Agostino and Dardanoni () characterize rank mobility pre‐orders that are linked to Spearman's ρ index; Bossert et al .…”

Section: Introductionmentioning

confidence: 99%

“…D'Agostino and Dardanoni () characterize rank mobility pre‐orders that are linked to Spearman's ρ index; Bossert et al . (), on the other hand, focus on mobility measures that have their foundation in Kendall's τ index. The latter is at the core of the Kemeny distance, which is one of the most prominent distance measures for orderings; see Kemeny () and Kemeny and Snell (), where the Kemeny distance is characterized.…”

Section: Introductionmentioning

confidence: 99%

“…While the majority of earlier contributions deal with mobility in the context of income distributions, there has been an increasing interest in the notion of rank mobility -that is, the positional movement of individuals, households or countries in economic or social hierarchies. Rank-based measures are widely applied in empirical research (see, for example, Dickens 1999), but as far as we are aware, only a few contributions, such as D' Agostino and Dardanoni (2009), Cowell and Flachaire (2011) and Bossert et al (2016), investigate them from a theoretical perspective.…”

Section: Introductionmentioning

confidence: 99%

“…We use the Human Development Index to provide an empirical application of our new measures later in the paper. D' Agostino and Dardanoni (2009) and Bossert et al (2016) propose rank mobility measures that are based on two dominant measures of non-parametric rank correlation, namely, Spearman's (1904) q index and Kendall's (1938) s index. D' Agostino and Dardanoni (2009) characterize rank mobility pre-orders that are linked to Spearman's q index; Bossert et al (2016), on the other hand, focus on mobility measures that have their foundation in Kendall's s index.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A Head‐count Measure of Rank Mobility and its Directional Decomposition

2017

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We propose and characterize a new measure of rank mobility. The index is given by the head count of those whose positions change in the move from one period to the next divided by population size. The interpretation of this head‐count ratio is straightforward and intuitive. In addition, we illustrate how the measure can be decomposed into an index of upwards mobility and an index of downwards mobility. The axioms used in our characterization results are appealing and easy to justify. We conclude with an application to the Human Development Index, a summary measure of average achievement in key dimensions of human development: a long and healthy life, being knowledgeable and having a decent standard of living.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Head‐count Measure of Rank Mobility and its Directional Decomposition

2017

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An axiomatic characterization of a class of rank mobility measures

Ricci

2019

Soc Choice Welf

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In this paper we provide an axiomatic characterization of a total preorder for assessing the mobility associated with any pair of rankings relative to a same group by means of a new class of rank-mobility measures. These measures constitute a strong generalization of Spearman's ρ index. The problem of dealing with mobility of subgroups, which is a pressing issue in several and various applicative contexts ranging from the use of socio-economic indicators to information retrieval, is addressed in terms of partial permutations which include standard permutations as a special case. Literature is lacking in a theoretical discussion for comparing mobility of variable-size subgroups: we show that our axiomatic approach fills this gap.

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External validity of multi-criteria preference data obtained from non-random sampling: measuring cohesiveness within and between groups

2022

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An important component of multi-criteria decision analysis (MCDA) in the public sector is the elicitation and aggregation of preference data collected via surveys into the relative importance of the criteria for the decision at hand. These aggregated preference data, usually in the form of mean weights on the criteria, are intended to represent the preferences of the relevant population overall. However, random sampling is often not feasible for public-sector MCDA for logistical reasons, including the expense involved in identifying and recruiting participants. Instead, non-random sampling methods such as convenience, purposive or snowball sampling are widely used. Nonetheless, provided the preference data collected are sufficiently ‘cohesive’ in terms of the extent to which the weights of the individuals belonging to the various exogenously defined groups in the sample are similar, non-random sampling can still produce externally valid aggregate preference data. We explain a method for measuring cohesiveness using the Kemeny and Hellinger distance measures, which involve measuring the ‘distance’ of participants’ weights (and the corresponding rankings of the criteria) from each other, within and between the groups respectively. As an illustration, these distance measures are applied to data from a MCDA to rank non-communicable diseases according to their overall burden to society. We conclude that the method is useful for evaluating the external validity of preference data obtained from non-random sampling.

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Measuring rank mobility with variable population size

Cited by 6 publications

References 10 publications

A Head‐count Measure of Rank Mobility and its Directional Decomposition

A Head‐count Measure of Rank Mobility and its Directional Decomposition

An axiomatic characterization of a class of rank mobility measures

External validity of multi-criteria preference data obtained from non-random sampling: measuring cohesiveness within and between groups

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