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Coordinate-free analysis of trends in British social mobility

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  • Anna Klimova
  • Tamás Rudas

Abstract

This paper is intended to make a contribution to the ongoing debate about declining social mobility in Great Britain by analyzing mobility tables based on data from the 1991 British Household Panel Survey and the 2005 General Household Survey. The models proposed here generalize Hauser's levels models and allow for a semi-parametric analysis of change in social mobility. The cell frequencies are assumed to be equal to the product of three effects: the effect of the father's position for the given year, the effect of the son's position for the given year, and the mobility effect related to the difference between the father's and the son's positions. A generalization of the iterative proportional fitting procedure is proposed and applied to computing the maximum likelihood estimates of the cell frequencies. The standard errors of the estimated parameters are computed under the product-multinomial sampling assumption. The results indicate opposing trends of mobility between the two timepoints. Fewer steps up or down in the society became less likely, while more steps became somewhat more likely.

Suggested Citation

  • Anna Klimova & Tamás Rudas, 2012. "Coordinate-free analysis of trends in British social mobility," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1681-1691, January.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:8:p:1681-1691
    DOI: 10.1080/02664763.2012.663348
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    References listed on IDEAS

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    1. Zelterman, Daniel & Youn, Ted I. K., 1992. "Indicator models in social mobility tables," Computational Statistics & Data Analysis, Elsevier, vol. 14(1), pages 39-53, June.
    2. Agresti, Alan, 1983. "A simple diagonals-parameter symmetry and quasi-symmetry model," Statistics & Probability Letters, Elsevier, vol. 1(6), pages 313-316, October.
    3. Klimova, Anna & Rudas, Tamás & Dobra, Adrian, 2012. "Relational models for contingency tables," Journal of Multivariate Analysis, Elsevier, vol. 104(1), pages 159-173, February.
    4. Richard Breen, 2008. "Statistical Models of Association for Comparing Cross-Classifications," Sociological Methods & Research, , vol. 36(4), pages 442-461, May.
    5. Yaojun Li & Fiona Devine, 2011. "Is Social Mobility Really Declining? Intergenerational Class Mobility in Britain in the 1990s and the 2000s," Sociological Research Online, , vol. 16(3), pages 28-41, August.
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    Cited by:

    1. Anna Klimova & Tamás Rudas, 2015. "Iterative Scaling in Curved Exponential Families," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 42(3), pages 832-847, September.
    2. Erzsébet Bukodi & John H. Goldthorpe & Jouni Kuha, 2017. "The pattern of social fluidity within the British class structure: a topological model," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(3), pages 841-862, June.

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