Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered

Satya Chakravarty, Nachiketa Chattopadhyay, Nora Lustig and Rodrigo Aranda

A chapter in Inequality, Redistribution and Mobility, 2020, vol. 28, pp 75-96 from Emerald Group Publishing Limited

Abstract: This paper attempts to interpret the Bartholomew (1973) index of mobility in terms of a directional mobility index based on the one-step expected states of movement corresponding to a specific state of transition matrix. A partial ordering of directional mobility of a general state of transition matrices, referred to as “upward mobility favoring sequential averaging (UMFSA),” is proposed using the algebraic equivalent of the generalized Lorenz ordering of expected states. When the underlying mobility depends on the initial distribution of the states, using a Bayesian approach, the indices are reexamined for a general class of matrices. This enables us to interpret the Prais (1955) and Bibby (1975) mobility index in this framework.

Keywords: Equality of opportunity; Social mobility; intergenerational mobility; directional mobility; transition probability; monotonicity; Bayesian analysis; C11; D31; D63; J62 (search for similar items in EconPapers)
Date: 2020
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Working Paper: Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:eme:reinzz:s1049-258520200000028003

DOI: 10.1108/S1049-258520200000028003

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