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On the stability of value added indicators

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This paper shows how relevant concepts in educational effectiveness can support public policy in order to improve the performance of educational systems. Specifically, value-added indicators and the property of their stability over time is addressed with reference to application to school/teacher improvement. Findings of a longitudinal study developed in Portugal concerning primary education in mathematics are presented. Variance component models are fitted in order to obtain those indicators yearly to class-school units. Results of this study reveal that value-added indicators can be a useful instrument for progressive improvement in education, particularly in countries with high rates of student retention and evasion. The novelty of this paper is to measure value added over a single year rather than all stage of schooling that refers to more than 1 year.

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  • Bird S.M., Cox D., Farewell V.T., Goldstein H., Holt T., Smith P.C.: Performance indicators: good, bad, and ugly. J. R. Stat. Soc. A 168, 1–27 (2005)

    Article  Google Scholar 

  • Braun H., Wainer H.: Value-added modeling. In: Rao, C.R., Sinharay, S. (eds) Handbook of statistics 26, Psychometrics., pp. 475–501. Elsevier, Amsterdam (2007)

    Google Scholar 

  • Ferrão M.E., Goldstein H.: Adjusting for measurement error in the value added model: evidence from Portugal. Qual. Quant. 43, 951–963 (2009)

    Article  Google Scholar 

  • Fielding A., Yang M., Goldstein H.: Multilevel ordinal models for examination grades. Stat. Model. 3, 127–153 (2003)

    Article  Google Scholar 

  • GEPE: Taxa de retenção e desistência, Segundo o ano lectivo, por nível de ensino, ciclo de estudo e ano de escolaridade; Continente; Ensino Público. (2009). Accessed 8 May 2009. (Official Statistics Department)

  • Goldstein H.: Methods in school effectiveness research. Sch. Eff. Sch. Improv. 8, 369–395 (1997)

    Article  Google Scholar 

  • Goldstein H., Healy M.: The graphical presentation of collection of means. J. R. Stat. Soc. A 158, 175–177 (1995)

    Article  Google Scholar 

  • Goldstein H., Spiegelhalter D.J.: League tables and their limitations: statistical issues in comparison of institutional performance. J. R. Stat. Soc. A 159, 385–443 (1996)

    Article  Google Scholar 

  • Gray J., Goldstein H., Jesson D.: Changes and improvements in schools’ effectiveness: trends over five years. Res. Pap. Educ. 11, 35–51 (1996)

    Article  Google Scholar 

  • Gray J., Goldstein H., Thomas S.: Predicting the future: the role of past performance in determining trends in institutional effectiveness at A level. Br. Educ. Res. J. 27, 391–405 (2001)

    Google Scholar 

  • Kyriakides L., Creemers B.P.M.: A longitudinal study on the stability over time of school and teacher effects on student outcomes. Oxf. Rev. Educ. 34, 521–545 (2008)

    Article  Google Scholar 

  • Leckie G., Goldstein H.: The limitations of using school league tables to inform school choice. J. R. Stat. Soc. A. 172, 835–851 (2009)

    Article  Google Scholar 

  • OECD: Education at a Glance. Organisation for Economic Co-operation and Development (2008a)

  • OECD: Measuring Improvements in Learning Outcomes—Best Practices to Assess the Value-Added of Schools. Organisation for Economic Co-operation and Development (2008b)

  • Sammons P., Thomas S., Mortimore P.: Forging links: effective schools and effective departments. Paul Chapman, London (1997)

    Google Scholar 

  • Scheerens J., Bosker R.: The foundations of educational effectiveness. Pergamon, Oxford (1997)

    Google Scholar 

  • Thomas S., Mortimore P.: Comparison of value-added models for secondary school effectiveness. Res. Pap. Educ. 11, 5–33 (1996)

    Article  Google Scholar 

  • Vicente, P.: Plano Amostral do Projecto 3EM—Eficácia Escolar no Ensino da Matemática. [Sampling Design of project 3EM—School Effectiveness in Math]. In: Ferrão, M.E., Nunes, C., Braumann, C. (eds). Estatística: Ciência Interdisciplinar, Proceedings of the XIV Annual Conference of the Portuguese Statistical Society, pp.849–858. Portuguese Statistical Society, Covilhã (2007)

  • Yang M., Woodhouse G.: Progress from GCSE to A and AS Level: institutional and gender differences, and trends over time. Br. Educ. Res. J. 27, 245–267 (2001)

    Article  Google Scholar 

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Correspondence to Maria Eugénia Ferrão.

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Ferrão, M.E. On the stability of value added indicators. Qual Quant 46, 627–637 (2012).

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