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Using M-quantile models as an alternative to random effects to model the contextual value-added of schools in London


  • Nikos Tzavidis

    () (University of Manchester.)

  • James J Brown

    () (Department of Quantitative Social Science, Institute of Education, University of London. 20 Bedford Way, WC1H 0AL)


The measurement of school performance for secondary schools in England has developed from simple measures of marginal performance at age 16 to more complex contextual value-added measures that account for pupil prior attainment and background. These models have been developed within the multilevel modelling environment (pupils within schools) but in this paper we propose an alternative using a more robust approach based on M-quantile modelling of individual pupil efficiency. These efficiency measures condition on a pupils ability and background, as do the current contextual value-added models, but as they are measured at the pupil level a variety of performance measures can be readily produced at the school and higher (local authority) levels. Standard errors for the performance measures are provided via a bootstrap approach, which is validated using a model-based simulation.

Suggested Citation

  • Nikos Tzavidis & James J Brown, 2010. "Using M-quantile models as an alternative to random effects to model the contextual value-added of schools in London," DoQSS Working Papers 10-11, Department of Quantitative Social Science - UCL Institute of Education, University College London.
  • Handle: RePEc:qss:dqsswp:1011

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    School Performance; Contextual Value-Added; M-Quantile Models; Pupil Efficiency; London;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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