Detecting dependence between spatial processes
AbstractTesting the assumption of independence between variables is a crucial aspect of spatial data analysis. However, the literature is limited and somewhat confusing. To our knowledge, we can mention only the bivariate generalization of Moran’s statistic. This test suffers from several restrictions: it is applicable only to pairs of variables, a weighting matrix and the assumption of linearity are needed; the null hypothesis of the test is not totally clear. Given these limitations, we develop a new non-parametric test based on symbolic dynamics with better properties. We show that the test can be extended to a multivariate framework, it is robust to departures from linearity, it does not need a weighting matrix and can be adapted to different specifications of the null. The test is consistent, computationally simple and with good size and power, as shown by a Monte Carlo experiment. An application to the case of the productivity of the manufacturing sector in the Ebro Valley illustrates our approach.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 43861.
Date of creation: 2013
Date of revision:
Non-parametric methods; Spatial bootstrapping; Spatial independence; Symbolic dynamics;
Find related papers by JEL classification:
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-01-26 (All new papers)
- NEP-ECM-2013-01-26 (Econometrics)
- NEP-GEO-2013-01-26 (Economic Geography)
- NEP-URE-2013-01-26 (Urban & Real Estate Economics)
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- Ciccone, Antonio, 2002.
"Agglomeration effects in Europe,"
European Economic Review,
Elsevier, vol. 46(2), pages 213-227, February.
- Rice, Patricia & Venables, Anthony J., 2004.
"Spatial Determinants of Productivity: Analysis for the Regions of Great Britain,"
CEPR Discussion Papers
4527, C.E.P.R. Discussion Papers.
- Rice, Patricia & Venables, Anthony J. & Patacchini, Eleonora, 2006. "Spatial determinants of productivity: Analysis for the regions of Great Britain," Regional Science and Urban Economics, Elsevier, vol. 36(6), pages 727-752, November.
- Patricia Rice & Anthony J. Venables, 2004. "Spatial Determinants of Productivity: Analysis for the Regions of Great Britain," CEP Discussion Papers dp0642, Centre for Economic Performance, LSE.
- Patricia Rice & Tony Venables, 2004. "Spatial determinants of productivity: analysis for the regions of Great Britain," LSE Research Online Documents on Economics 2040, London School of Economics and Political Science, LSE Library.
- Bernard Fingleton, 2008. "A generalized method of moments estimator for a spatial model with moving average errors, with application to real estate prices," Empirical Economics, Springer, vol. 34(1), pages 35-57, February.
- Antonio Ciccone & Robert E. Hall, 1995.
"Productivity and the density of economic activity,"
Economics Working Papers
120, Department of Economics and Business, Universitat Pompeu Fabra.
- Paul M Romer, 1999.
"Endogenous Technological Change,"
Levine's Working Paper Archive
2135, David K. Levine.
- Monchuk, Daniel C. & Hayes, Dermot J. & Miranowski, John & Lambert, Dayton, 2013.
"Inference Based on Alternative Bootstrapping Methods in Spatial Models with an Application to County Income Growth in the United States,"
Staff General Research Papers
36121, Iowa State University, Department of Economics.
- Daniel C. Monchuk & Dermot J. Hayes & John A. Miranowski & Dayton M. Lambert, 2011. "Inference Based On Alternative Bootstrapping Methods In Spatial Models With An Application To County Income Growth In The United States," Journal of Regional Science, Wiley Blackwell, vol. 51(5), pages 880-896, December.
- Daniel C. Monchuk & Dermot J. Hayes & John Miranowski, 2008. "Inference Based on Alternative Bootstrapping Methods in Spatial Models with an Application to County Income Growth in the United States," Center for Agricultural and Rural Development (CARD) Publications 08-wp471, Center for Agricultural and Rural Development (CARD) at Iowa State University.
- Daniel C. Monchuk & Dermot J. Hayes & John Miranowski & Dayton M. Lambert, 2010. "Inference Based on Alternative Bootstrapping Methods in Spatial Models with an Application to County Income Growth in the United States," Center for Agricultural and Rural Development (CARD) Publications 10-wp507, Center for Agricultural and Rural Development (CARD) at Iowa State University.
- Peter Burridge & Bernard Fingleton, 2010. "Bootstrap Inference in Spatial Econometrics: the J-test," Spatial Economic Analysis, Taylor & Francis Journals, vol. 5(1), pages 93-119.
- Matilla-García, Mariano & Ruiz Marín, Manuel, 2009. "Detection of non-linear structure in time series," Economics Letters, Elsevier, vol. 105(1), pages 1-6, October.
- Rikard Eriksson & Urban Lindgren, 2009. "Localized mobility clusters: impacts of labour market externalities on firm performance," Journal of Economic Geography, Oxford University Press, vol. 9(1), pages 33-53, January.
- López, Fernando & Matilla-García, Mariano & Mur, Jesús & Marín, Manuel Ruiz, 2010. "A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 106-115, May.
- Glaeser, Edward L & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1992.
"Growth in Cities,"
Journal of Political Economy,
University of Chicago Press, vol. 100(6), pages 1126-52, December.
- Glaeser, Edward Ludwig & Kallal, Hedi D. & Scheinkman, Jose A. & Shleifer, Andrei, 1992. "Growth in Cities," Scholarly Articles 3451309, Harvard University Department of Economics.
- Edward L. Glaeser & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1991. "Growth in Cities," NBER Working Papers 3787, National Bureau of Economic Research, Inc.
- Peter Burridge, 2012. "Improving the J Test in the SARAR Model by Likelihood-based Estimation," Spatial Economic Analysis, Taylor & Francis Journals, vol. 7(1), pages 75-107, March.
- Pinkse, Joris & Slade, Margaret E., 1998. "Contracting in space: An application of spatial statistics to discrete-choice models," Journal of Econometrics, Elsevier, vol. 85(1), pages 125-154, July.
- Bernard Fingleton, 2003. "Increasing returns: evidence from local wage rates in Great Britain," Oxford Economic Papers, Oxford University Press, vol. 55(4), pages 716-739, October.
- Manuel Ruiz & Fernando López & Antonio Páez, 2010. "Testing for spatial association of qualitative data using symbolic dynamics," Journal of Geographical Systems, Springer, vol. 12(3), pages 281-309, September.
- Matilla-Garcia, Mariano & Ruiz Marin, Manuel, 2008. "A non-parametric independence test using permutation entropy," Journal of Econometrics, Elsevier, vol. 144(1), pages 139-155, May.
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