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Spatial Econometric Analysis Using GAUSS. 9 Kuan-Pin Lin Portland State University. Spatial Panel Data Analysis. The Model Representation Based on panel data models (pooled, fixed effects, random effects), we consider: Spatial Lag Model Spatial Error Model Spatial Error AR(1)
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Spatial Econometric AnalysisUsing GAUSS 9 Kuan-Pin LinPortland State University
Spatial Panel Data Analysis • The Model Representation • Based on panel data models (pooled, fixed effects, random effects), we consider: • Spatial Lag Model • Spatial Error Model • Spatial Error AR(1) • Spatial Error MA(1) • Spatial Error Components • Spatial Mixed Model • T-first representation is more convenient to incorporate parametric spatial panel data analysis
Spatial Panel Data Models Spatial Lag Model
Spatial Panel Data Models Spatial Error Model: AR(1), KKP (2006)
Spatial Panel Data Models Spatial Error Model: AR(1)Alternative Specification, Anselin (1988)
Spatial Panel Data Models Spatial Error Model: MA(1)
Spatial Panel Data Models Spatial Error Components
Spatial Panel Data Models Spatial Seemingly Unrelated Regressions
Spatial Panel Data Models Spatial Mixed Model: Anselin AR(1)
Spatial Panel Data Models Spatial Mixed Model: KKP AR(1)
Spatial Model Specification Tests Based on panel data models (pooled, fixed effects, random effects), we consider: Moran Test LM Test and Robust LM Test Spatial Error Model Spatial Lag Model
Moran’s I Test StatisticPooled Model Moran’s I Index Can not distinguish between spatial lag or spatial error
Moran’s I Test StatisticFixed Effects Model Moran’s I Index Can not distinguish between spatial lag or spatial error
LM-Error Test Statistic Pooled Model LM Test Statistic for Spatial Error
LM-Error Test StatisticFixed Effects Model LM Test Statistic for Spatial Error
LM-Error Test StatisticRandom Effects Model LM Test Statistic for Spatial Error See Baltagi, B. H., S. H. Song, W. Koh (2003).
LM-Lag Test StatisticPooled Model LM Test Statistic for Spatial Lag
LM-Lag Test StatisticFixed Effects Model LM Test Statistic for Spatial Lag
LM-Lag Test StatisticRandom Effects Model LM Test Statistic for Spatial Lag See Baltagi, B., Liu, L. (2008).
Hypothesis TestingExample • U. S. Productivity (munnell.3) • ln(GSP) = b0 + b1ln(Public) + b2ln(Private) + b3ln(Labor) + b4(Unemp) + e(numbers in parentheses are p-values of the tests)
Hypothesis TestingExample • U. S. Productivity (munnell.3) • Pooled Model • Fixed Effects Model
Hypothesis TestingAnother Example • China Provincial Productivity (china.7) • ln(Q) = a + bln(L) + gln(K) + e(numbers in parentheses are p-values of the tests)
Hypothesis TestingAnother Example • China Provincial Productivity (china.7) • Pooled Model • Fixed Effects Model
References • Anselin L., J. Le Gallo, and H. Jayet. 2008. Spatial Panel Econometrics. In The Econometrics of Panel Data, Fundamentals and Recent Developments in Theory and Practice (3rd Edition), eds. L. Matyas and P. Sevestre, 627-662. Springer-Verlag. • Baltagi, B. H., S. H. Song, W. Koh, “Test Panel Data Regression Models with Spatial Error Correlation,” Journal of Econometrics 117, 2003: 123-150. • Baltagi, B. H., S. H. Song, B. C. Jung, W. Koh, “Test for Serial Correlation, Spatial Autocorrelation and Random Effects Using Panel Data,” Journal of Econometrics 140, 2007: 5-51. • Baltagi, B., Liu, L. (2008) Testing for Random Effects and Spatial Lag Dependence in Panel Data Models. Statistics and Probability Letters, 78, 3304-3306. • Lee, L. F., and J. Yu, “Some Recent Developments in Spatial Panel Data Models,” Regional Science and Urban Economics,