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Assessing the quality of institutions' rankings obtained through multilevel linear regression models

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  • Bruno Arpino
  • Roberta Varriale

Abstract

The aim of this paper is to assess the quality of the ranking of institutions obtained with multilevel techniques in presence of different model misspecifications and data structures. Through a Monte Carlo simulation study, we find that it is quite hard to obtain a reliable ranking of the whole effectiveness distribution while, under various experimental conditions, it is possible to identify institutions with extreme performances. Ranking quality increases with increasing intra class correlation coefficient and/or overall sample size. Furthermore, multilevel models where the between and within cluster components of first-level covariates are distinguished perform significantly better than both multilevel models where the two effects are set to be equal and the fixed effect models.

Suggested Citation

  • Bruno Arpino & Roberta Varriale, 2009. "Assessing the quality of institutions' rankings obtained through multilevel linear regression models," Working Papers 019, "Carlo F. Dondena" Centre for Research on Social Dynamics (DONDENA), Università Commerciale Luigi Bocconi.
  • Handle: RePEc:don:donwpa:019
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    File URL: ftp://ftp.dondena.unibocconi.it/WorkingPapers/Dondena_WP019.pdf
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    References listed on IDEAS

    as
    1. Maddala, G S, 1971. "The Use of Variance Components Models in Pooling Cross Section and Time Series Data," Econometrica, Econometric Society, vol. 39(2), pages 341-358, March.
    2. Aassve, Arnstein & Arpino, Bruno, 2007. "Dynamic multi-level analysis of households' living standards and poverty: evidence from Vietnam," ISER Working Paper Series 2007-10, Institute for Social and Economic Research.
    3. Cora J. M. Maas & Joop J. Hox, 2004. "Robustness issues in multilevel regression analysis," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(2), pages 127-137.
    4. Ladd, Helen F. & Walsh, Randall P., 2002. "Implementing value-added measures of school effectiveness: getting the incentives right," Economics of Education Review, Elsevier, vol. 21(1), pages 1-17, February.
    5. Sophia Rabe-Hesketh & Anders Skrondal, 2012. "Multilevel and Longitudinal Modeling Using Stata, 3rd Edition," Stata Press books, StataCorp LP, edition 3, number mimus2, April.
    6. Anders Skrondal & Sophia Rabe-Hesketh, 2007. "Latent Variable Modelling: A Survey," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(4), pages 712-745.
    7. George Leckie & Harvey Goldstein, 2009. "The limitations of using school league tables to inform school choice," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(4), pages 835-851.
    8. repec:spr:stmapp:v:13:y:2004:i:3:d:10.1007_s10260-004-0087-1 is not listed on IDEAS
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    More about this item

    Keywords

    multilevel models; ranking of institutions; second-level residuals distribution;

    JEL classification:

    • I2 - Health, Education, and Welfare - - Education
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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