Diagnostic Tests of Cross Section Independence for Nonlinear Panel Data Models

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.

[1]  F. Schneider,et al.  Shadow Economy, Tax Morale, Governance and Institutional Quality: A Panel Analysis , 2007, SSRN Electronic Journal.

[2]  Hans Jarle Kind,et al.  Price-Dependent Profit Sharing as an Escape from the Bertrand Paradox , 2007 .

[3]  Christian Gollier,et al.  Intergenerational Risk-Sharing and Risk-Taking of a Pension Fund , 2007, SSRN Electronic Journal.

[4]  Michele Bernasconi,et al.  Redistribution or Education? The Political Economy of the Social Race , 2007, SSRN Electronic Journal.

[5]  Marsel Kvesic,et al.  Bootstrap Approximations in Model Checks for Binary Data , 2006 .

[6]  Lung-fei Lee,et al.  CONSISTENCY AND EFFICIENCY OF LEAST SQUARES ESTIMATION FOR MIXED REGRESSIVE, SPATIAL AUTOREGRESSIVE MODELS , 2002, Econometric Theory.

[7]  Astrid Hopfensitz,et al.  Dynamic Choice, Independence and Emotions , 2006 .

[8]  Giacomo Corneo,et al.  A Theory of Tolerance , 2006, SSRN Electronic Journal.

[9]  Gregory J. Wawro.  A Panel Probit Analysis of Campaign Contributions and Roll-Call Votes , 2001 .

[10]  Luis A. Gil-Alana,et al.  A multivariate long-memory model with structural breaks , 2007, SSRN Electronic Journal.

[11]  Lars P. Feld,et al.  Are Fiscal Adjustments Less Successful in Decentralized Governments? , 2007, SSRN Electronic Journal.

[12]  Harry H. Kelejian,et al.  A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model , 1999 .

[13]  A. Ullah,et al.  A Bias-Adjusted LM Test of Error Cross-Section Independence , 2008 .

[14]  David C. Ribar,et al.  Analysis of panel data, 2nd edition , 2004 .

[15]  Per Pettersson-Lidbom,et al.  Behavior Under Social Pressure: Empty Italian Stadiums and Referee Bias , 2007 .

[16]  Aman Ullah,et al.  Finite Sample Econometrics , 2004 .

[17]  E. Frees.  Assessing cross-sectional correlation in panel data , 1995 .

[18]  Byeongchan Seong,et al.  Cointegration Analysis with Mixed-Frequency Data , 2007, SSRN Electronic Journal.

[19]  J. Neyman,et al.  Consistent Estimates Based on Partially Consistent Observations , 1948 .

[20]  S. Carson,et al.  Health During Industrialization: Evidence from the 19th Century Pennsylvania State Prison System , 2007, SSRN Electronic Journal.

[21]  M. Smart.  Raising taxes through Equalization ∗ , 2006 .

[22]  Matthias Müller,et al.  Push or Pull? An Empirical Analysis of the Demand for Individual Project Grants from the Swiss National Science Foundation , 2007, SSRN Electronic Journal.

[23]  Cheng Hsiao,et al.  Analysis of Panel Data , 1987 .

[24]  Aleksander Berentsen,et al.  Monetary Policy in a Channel System , 2008, SSRN Electronic Journal.

[25]  Burkhard Heer,et al.  On the Modeling of the Income Distribution Business Cycle Dynamics , 2007, SSRN Electronic Journal.

[26]  E. Janeba,et al.  Exports, Unemployment, and the Welfare State , 2007 .

[27]  Frederick L. Joutz,et al.  What Explains Germany's Rebounding Export Market Share? , 2007 .

[28]  Andreas Haufler,et al.  Competition for Firms in an Oligopolistic Industry: Do Firms or Countries Have to Pay? , 2007, SSRN Electronic Journal.

[29]  Gary Chamberlain,et al.  Analysis of Covariance with Qualitative Data , 1979 .

[30]  H. Sinn.  The Welfare State and the Forces of Globalization , 2007, SSRN Electronic Journal.

[31]  Frederick van der Ploeg,et al.  Prudent Budgetary Policy: Political Economy of Precautionary Taxation , 2007 .

[32]  Andrew Chesher,et al.  Residual analysis in the grouped and censored normal linear model , 1987 .

[33]  Wilhelm Kohler,et al.  The Bazaar Effect, Unbundling of Comparative Advantage, and Migration , 2007, SSRN Electronic Journal.

[34]  Adrian Pagan,et al.  The Lagrange Multiplier Test and its Applications to Model Specification in Econometrics , 1980 .

[35]  Gebhard Flaig,et al.  Does the Euro-Zone Diverge? A Stress Indicator for Analyzing Trends and Cycles in Real GDP and Inflation , 2007, SSRN Electronic Journal.

[36]  Huntley Schaller,et al.  Fundamentals, Misvaluation, and Investment: The Real Story , 2007 .

[37]  David Pérez-Castrillo,et al.  Optimal monitoring to implement clean technologies when pollution is random , 2007 .

[38]  Panu Poutvaara,et al.  Unemployment and Gang Crime: Could Prosperity Backfire? , 2007, SSRN Electronic Journal.

[39]  Volker Grossmann,et al.  Anti-Competitive Conduct, In-House R&D, and Growth , 2007, SSRN Electronic Journal.

[40]  Alain Monfort,et al.  A General Approach to Serial Correlation , 1985, Econometric Theory.

[41]  Assaf Razin,et al.  The Role of Immigration in Sustaining the Social Security System: A Political Economy Approach , 2007, SSRN Electronic Journal.

[42]  Wolfgang Ochel,et al.  The Free Movement of Inactive Citizens in the EU - A Challenge for the European Welfare State? , 2007, SSRN Electronic Journal.

[43]  Balázs Égert,et al.  Real Exchange Rates in Small Open OECD and Transition Economies: Comparing Apples with Oranges? , 2006, SSRN Electronic Journal.

[44]  Gerhard Illing,et al.  Financial Stability and Monetary Policy - A Framework , 2007, SSRN Electronic Journal.

[45]  Marcelo Olarreaga,et al.  Substitutability and Protectionism: Latin America's Trade Policy and Imports from China and India , 2007, SSRN Electronic Journal.

[46]  S. Carson,et al.  African-American and White Inequality in the American South: Evidence from the 19th Century Missouri State Prison , 2007 .

[47]  Ludger Woessmann,et al.  Fundamental Determinants of School Efficiency and Equity: German States as a Microcosm for OECD Countries , 2007, SSRN Electronic Journal.

[48]  Takeshi Amemiya,et al.  The nonlinear two-stage least-squares estimator , 1974 .

[49]  Giovanni Immordino,et al.  Optimal Regulation of Auditing , 2007, SSRN Electronic Journal.

[50]  M. Pesaran.  General diagnostic tests for cross-sectional dependence in panels , 2004, Empirical Economics.

[51]  Rainald Borck,et al.  Commuting Subsidies With Two Transport Modes , 2007, SSRN Electronic Journal.

[52]  Mirjam van Praag,et al.  The Benefits of Being Economics Professor A (and not Z) , 2007 .

[53]  G. Wamser,et al.  Intercompany Loans and Profit Shifting - Evidence from Company-Level Data , 2007 .

[54]  Harry H. Kelejian,et al.  On the asymptotic distribution of the Moran I test statistic with applications , 2001 .

[55]  Michela Redoano,et al.  Does Centralization Affect the Number and Size of Lobbies? , 2007 .

[56]  S. Bhattacharya,et al.  Gains and Losses of India-China Trade Cooperation - A Gravity Model Impact Analysis , 2007, SSRN Electronic Journal.

[57]  K. Staehr,et al.  Fiscal Policies and Business Cycles in an Enlarged Euro Area , 2007, SSRN Electronic Journal.

[58]  Wolfgang Härdle,et al.  A bootstrap test for single index models , 2000 .

[59]  Michael Funke,et al.  Environmental policy under model uncertainty: a robust optimal control approach , 2007, SSRN Electronic Journal.

[60]  Lars P. Feld,et al.  Tax Morale After the Reunification of Germany: Results from a Quasi-Natural Experiment , 2007, SSRN Electronic Journal.

[61]  Michela Redoano,et al.  Fiscal Interactions Among European Countries , 2003 .

[62]  Stefan Krasa,et al.  Majority-Efficiency and Competition-Efficiency in a Binary Policy Model , 2007, SSRN Electronic Journal.

[63]  Serena Ng,et al.  Testing Cross-Section Correlation in Panel Data Using Spacings , 2006 .

[64]  Mattias Ganslandt,et al.  Wholesale Price Discrimination and Parallel Imports , 2007, SSRN Electronic Journal.

[65]  P. Moran.  The Interpretation of Statistical Maps , 1948 .

[66]  Bas Jacobs,et al.  Real Options and Human Capital Investment , 2007, SSRN Electronic Journal.

[67]  Balázs Égert,et al.  Dutch Disease Scare in Kazakhstan: Is it real? , 2007, SSRN Electronic Journal.