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Spatial Errors in Count Data Regressions

Author

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  • Bertanha Marinho

    (Department of Economics, Stanford University, 579 Serra Mall, Stanford, CA, 94305, USA)

  • Moser Petra

    (Department of Economics, Stanford University, 579 Serra Mall, Stanford, CA, 94305, USA)

Abstract

Count data regressions are an important tool for empirical analyses ranging from analyses of patent counts to measures of health and unemployment. Along with negative binomial, Poisson panel regressions are a preferred method of analysis because the Poisson conditional fixed effects maximum likelihood estimator (PCFE) and its sandwich variance estimator are consistent even if the data are not Poisson-distributed, or if the data are correlated over time. Analyses of counts may however also be affected by correlation in the cross-section. For example, patent counts or publications may increase across related research fields in response to common shocks. This paper shows that the PCFE and its sandwich variance estimator are consistent in the presence of such dependence in the cross-section – as long as spatial dependence is time-invariant. We develop a test for time-invariant spatial dependence and provide code in STATA and MATLAB to implement the test.

Suggested Citation

  • Bertanha Marinho & Moser Petra, 2016. "Spatial Errors in Count Data Regressions," Journal of Econometric Methods, De Gruyter, vol. 5(1), pages 49-69, January.
    • Handle: RePEc:bpj:jecome:v:5:y:2016:i:1:p:49-69:n:6
    DOI: 10.1515/jem-2014-0015
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    More about this item

    Keywords

    citations; count data; patents; Poisson panel models; spatial correlation;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

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