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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Bootstrap inference in spatial econometrics : the J test

Fingleton, B. and Burridge, P. (2010) Bootstrap inference in spatial econometrics : the J test. Spatial Economic Analysis, 5 (1). pp. 93-119. ISSN 1742-1772

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Abstract

Kelejian (2008) introduces a J-type test for the situation in which a null linear regression model, Model0, is to be tested against one or more rival non-nested alternatives, Model1, . . ., Modelg, where typically the competing models possess endogenous spatial lags and spatially autoregressive error processes. Concentrating on the case g1, in this paper we examine the finite sample properties of a spatial J statistic that is asymptotically x2 2 under the null, and an alternative version that is conjectured to be approximately x2 1; both introduced by Kelejian. We demonstrate numerically that the tests are excessively liberal in some leading cases and conservative in others using the relevant chi-square asymptotic approximations, and explore how far this may be corrected using a simple bootstrap resampling method.