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European higher education policies and the problem of estimating a complex model with a small cross-section

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  • Marconi, Gabriele

Abstract

This paper discusses the components on components regression, a statistical technique suitable for explorative analyses of small datasets containing multiple independent, mediating and dependent variables. This method is compared to ordinary least squares and principal component regression by means of discussion of their properties and the assumptions underlying these estimators, a simulation and an empirical application to European higher education policy, and economic innovativeness in 32 countries. In the datasets used in this paper, the components on components regression yields more precise estimates of the coefficients of association between independent, mediating and dependent variables, compared to ordinary least squares. Compared to the principal components regression, it leads to a more parsimonious empirical model. The simulation also shows that the standard errors of the coefficients estimated with the components on components regression can be obtained by bootstrapping.

Suggested Citation

  • Marconi, Gabriele, 2014. "European higher education policies and the problem of estimating a complex model with a small cross-section," MPRA Paper 87600, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:87600
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    References listed on IDEAS

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    More about this item

    Keywords

    principal components regression – OLS – small sample – explorative research – higher education policies – Montecarlo simulation;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • O38 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Government Policy

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