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Diagnostic Tests of Cross Section Independence for Nonlinear Panel Data Models

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  • Hsiao, C.
  • Pesaran, M.H.
  • Pick, A.

Abstract

In this paper we discuss tests for residual cross section dependence in nonlinear panel data models. The tests are based on average pair-wise residual correlation coefficients. In nonlinear models, the definition of the residual is ambiguous and we consider two approaches: deviations of the observed dependent variable from its expected value and generalized residuals. We show the asymptotic consistency of the cross section dependence (CD) test of Pesaran (2004). In Monte Carlo experiments it emerges that the CD test has the correct size for any combination of N and T whereas the LM test relies on T large relative to N. We then analyze the roll-call votes of the 104th U.S. Congress and find considerable dependence between the votes of the members of Congress.

Suggested Citation

  • Hsiao, C. & Pesaran, M.H. & Pick, A., 2007. "Diagnostic Tests of Cross Section Independence for Nonlinear Panel Data Models," Cambridge Working Papers in Economics 0716, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:0716
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    Cited by:

    1. Vasilis Sarafidis & Tom Wansbeek, 2012. "Cross-Sectional Dependence in Panel Data Analysis," Econometric Reviews, Taylor & Francis Journals, vol. 31(5), pages 483-531, September.
    2. Martí Ballester, Carmen Pilar, 2013. "Determinants of equity pension plan flows," Economics Discussion Papers 2013-15, Kiel Institute for the World Economy (IfW Kiel).
    3. Carmen Pilar Marti & M. Rosa Rovira‐Val & Lisa G. J. Drescher, 2015. "Are Firms that Contribute to Sustainable Development Better Financially?," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 22(5), pages 305-319, September.
    4. G. Pan & J. Gao & Y. Yang & M. Guo, 2012. "Independence Test for High Dimensional Random Vectors," Monash Econometrics and Business Statistics Working Papers 1/12, Monash University, Department of Econometrics and Business Statistics.
    5. Carmen Pilar Martí Ballester, 2014. "Determinants of equity pension plan flows," Estudios de Economia, University of Chile, Department of Economics, vol. 41(1 Year 20), pages 125-148, June.
    6. Leyla Mammadova & Aytan Mammadova & Fuad Mammadov & Leyla Yusifzada, 2016. "Determinants of Depositors’ Behaviour: Heterogeneous Panel Estimates," Working Papers 1603, Central Bank of Azerbaijan Republic.
    7. Silvia Lui & James Mitchell & Martin Weale, 2011. "Qualitative business surveys: signal or noise?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(2), pages 327-348, April.
    8. Zeidan, Rodrigo & Müllner, Jakob, 2015. "Firm, market and top management antecedents of speculation: Lessons for corporate governance," Journal of Multinational Financial Management, Elsevier, vol. 32, pages 42-58.
    9. Amegashie, J. Atsu & Ouattara, Bazoumanna & Strobl, Eric, 2007. "Moral Hazard and the Composition of Transfers: Theory with an Application to Foreign Aid," MPRA Paper 3158, University Library of Munich, Germany, revised 06 May 2007.
    10. George Halkos & George Ekonomou, 2023. "Can Business and Leisure Tourism Spending Lead to Lower Environmental Degradation Levels? Research on the Eurozone Economic Space," Sustainability, MDPI, vol. 15(7), pages 1-16, March.
    11. Guangming Pan & Jiti Gao & Yanrong Yang & Meihui Guo, 2015. "Cross-sectional Independence Test for a Class of Parametric Panel Data Models," Monash Econometrics and Business Statistics Working Papers 17/15, Monash University, Department of Econometrics and Business Statistics.
    12. Nikos Benos & Nikolaos Mylonidis & Stefania Zotou, 2017. "Estimating production functions for the US states: the role of public and human capital," Empirical Economics, Springer, vol. 52(2), pages 691-721, March.
    13. Li Yang & Sumaiya Bashiru Danwana & Fadilul-lah Yassaanah Issahaku, 2022. "Achieving Environmental Sustainability in Africa: The Role of Renewable Energy Consumption, Natural Resources, and Government Effectiveness—Evidence from Symmetric and Asymmetric ARDL Models," IJERPH, MDPI, vol. 19(13), pages 1-26, June.

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    Keywords

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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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