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Cox-type tests for competing spatial autoregressive models with spatial autoregressive disturbances

  • Jin, Fei
  • Lee, Lung-fei
Registered author(s):

    In this paper, we consider the Cox-type tests of non-nested hypotheses for spatial autoregressive (SAR) models with SAR disturbances. We formally derive the asymptotic distributions of the test statistics. In contrast to regression models, we show that the Cox-type and J-type tests for non-nested hypotheses in the framework of SAR models are not asymptotically equivalent under the null hypothesis. The Cox test in a non-spatial setting has been found often to have large size distortion, which can be removed by bootstrap. Cox-type tests for SAR models with SAR disturbances may also have a large size distortion. We show that the bootstrap is consistent for Cox-type tests in our framework. Performances of the Cox-type and J-type tests as well as their bootstrapped versions in finite samples are compared via a Monte Carlo study. These tests are of particular interest when there are competing models with different spatial weight matrices. Using bootstrapped p-values, the Cox tests have relatively high power in all experiments and can outperform J-type and several other related tests in some cases.

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    Article provided by Elsevier in its journal Regional Science and Urban Economics.

    Volume (Year): 43 (2013)
    Issue (Month): 4 ()
    Pages: 590-616

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    Handle: RePEc:eee:regeco:v:43:y:2013:i:4:p:590-616
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