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Spatial lag models with nested random effects: An instrumental variable procedure with an application to English house prices

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  • Baltagi, Badi H.
  • Fingleton, Bernard
  • Pirotte, Alain

Abstract

This paper sets up a nested random effects spatial autoregressive panel data model to explain annual house price variation for 2000–2007 across 353 local authority districts in England. The estimation problem posed is how to allow for the endogeneity of the spatial lag variable producing the simultaneous spatial spillover of prices across districts together with the nested random effects in a panel data setting. To achieve this, the paper proposes new estimators based on the instrumental variable approaches of Kelejian and Prucha (1998) and Lee (2003) for the cross-sectional spatial autoregressive model. Monte Carlo results show that our estimators perform well relative to alternative approaches and produces estimates based on real data that are consistent with the theoretical house price model underpinning the reduced form.

Suggested Citation

  • Baltagi, Badi H. & Fingleton, Bernard & Pirotte, Alain, 2014. "Spatial lag models with nested random effects: An instrumental variable procedure with an application to English house prices," Journal of Urban Economics, Elsevier, vol. 80(C), pages 76-86.
    • Handle: RePEc:eee:juecon:v:80:y:2014:i:c:p:76-86
    DOI: 10.1016/j.jue.2013.10.006
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    More about this item

    Keywords

    House prices; Panel data; Spatial lag; Nested random effects; Instrumental variables; Spatial dependence;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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