Spatial J-test: some Monte Carlo evidence. (English) Zbl 1322.62221
Summary: Researchers using spatial econometric methods generally assume a known structure for the process being modeled embedded in a spatial weights matrix. The present paper evaluates the performance of the J-test in selecting the most appropriate spatial structure in the context of a Monte Carlo study. Results suggest that the J-test performs well when used to select between different weights matrices. Increases in power are associated with the use of the full set of instruments.
MSC:
| 62M30 | Inference from spatial processes |
| 65C05 | Monte Carlo methods |
| 62-07 | Data analysis (statistics) (MSC2010) |
References:
| [1] | Anderson, T.: An Introduction to Multivariate Statistical Analysis. Wiley, Hoboken (2003) · Zbl 1039.62044 |
| [2] | Anselin, L.: Non-nested tests on the weight structure in spatial autoregressive models: some Monte Carlo results. J. Reg. Sci. 26(2), 267–284 (1986) · doi:10.1111/j.1467-9787.1986.tb00820.x |
| [3] | Anselin, L.: Spatial Econometrics: Methods and Models. Kluwer Academic, Dordrecht (1988) · Zbl 1328.62406 |
| [4] | Anselin, L., Bera, A.: Spatial dependence in linear regression models with an introduction to spatial econometrics. In: Ullah, A., Giles, D. (eds.) Handbook of Applied Economic Statistics, pp. 237–289. Dekker, New York (1998) |
| [5] | Arbia, G., Piras, G.: A new class of spatial concentration measures. Comput. Stat. Data Anal. 53(12), 4471–4481 (2009) · Zbl 1453.62030 · doi:10.1016/j.csda.2009.07.003 |
| [6] | Arraiz, I., Drukker, D., Kelejian, H., Prucha, I.: A spatial Clifford-type model with heteroscedastic innovations: small and large sample results. J. Reg. Sci. 50, 592–614 (2010) · doi:10.1111/j.1467-9787.2009.00618.x |
| [7] | Atkinson, A.: A method for discriminating between models. J. R. Stat. Soc. Ser. B 32, 323–353 (1970) · Zbl 0225.62020 |
| [8] | Azzalini, A.: R package sn: The skew-normal and skew-t distributions (version 0.4-14). Università di Padova, Italia (2010) |
| [9] | Azzalini, A., Capitanio, A.: Statistical applications of the multivariate skew-normal distribution. J. R. Stat. Soc. Ser. B 61, 579–602 (1999) · Zbl 0924.62050 · doi:10.1111/1467-9868.00194 |
| [10] | Cox, D.R.: Tests of separate families of hypothesis. In: Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1. University of California Press, Berkeley (1961) · Zbl 0201.52102 |
| [11] | Cox, D.R.: Further results on tests of separate families of hypothesis. J. R. Stat. Soc. Ser. B 24, 406–424 (1962) · Zbl 0131.35801 |
| [12] | Cressie, N.: Statistic for Spatial Data. Wiley, New York (1993) · Zbl 0825.62477 |
| [13] | Dastoor, N.: Some aspects of testing non-nested hypothesis. J. Econom. 21, 213–228 (1983) · Zbl 0501.62054 · doi:10.1016/0304-4076(83)90014-3 |
| [14] | Davidson, R., MacKinnon, J.: Several tests for model specification in the presence of alternative hypotheses. Econometrica 49, 781–794 (1981) · Zbl 0472.62108 · doi:10.2307/1911522 |
| [15] | Davidson, R., MacKinnon, J.: Estimation and Inference in Econometrics. Oxford University Press, New York (1993) · Zbl 1009.62596 |
| [16] | Donovan, G.H., Champ, P.A., Butry, D.T.: Wildfire risk and housing prices: a case study from Colorado Springs. Land Econ. 83(3), 217–233 (2007) · doi:10.3368/le.83.2.217 |
| [17] | Genton, M.: Skew-elliptical Distributions and Their Applications. Chapman & Hall, Boca Raton (2004) · Zbl 1069.62045 |
| [18] | Godfrey, L.: Testing non-nested models after estimation by instrumental variables or least squares. Econometrica 51, 355–366 (1983) · Zbl 0498.62099 · doi:10.2307/1911994 |
| [19] | Kapoor, M., Kelejian, H., Prucha, I.: Panel data model with spatially correlated error components. J. Econom. 140(1), 97–130 (2007) · Zbl 1418.62482 · doi:10.1016/j.jeconom.2006.09.004 |
| [20] | Kelejian, H., Prucha, I.: A generalized spatial two stages least square procedure for estimating a spatial autoregressive model with autoregressive disturbances. J. Real Estate Finance Econ. 17(1), 99–121 (1998) · doi:10.1023/A:1007707430416 |
| [21] | Kelejian, H., Prucha, I.: A generalized moments estimator for the autoregressive parameter in a spatial model. Int. Econ. Rev. 40(2), 509–533 (1999) · doi:10.1111/1468-2354.00027 |
| [22] | Kelejian, H., Prucha, I.: Estimation of systems of spatially interrelated cross sectional equations. J. Econom. 118, 27–50 (2004) · Zbl 1033.62050 · doi:10.1016/S0304-4076(03)00133-7 |
| [23] | Kelejian, H.H.: A spatial j-test for model specification against a single or a set of nonnested alternatives. Lett. Spat. Res. Sci. 1(1), 3–11 (2008) · doi:10.1007/s12076-008-0001-9 |
| [24] | MacKinnon, J., White, H., Davidson, R.: Test for model specification in the presence of alternative hypotheses: some further results. J. Econom. 21, 53–70 (1983) · Zbl 0518.62090 · doi:10.1016/0304-4076(83)90119-7 |
| [25] | Pesaran, M.: On the general problem of model selection. Rev. Econ. Stud. 41, 153–171 (1974) · Zbl 0317.62049 · doi:10.2307/2296710 |
| [26] | Pesaran, M., Deaton, A.: Testing non-nested non-linear regression models. Econometrica 46, 677–694 (1978) · Zbl 0379.62089 · doi:10.2307/1914240 |
| [27] | Pesaran, M., Weeks, M.: Non-nested hypothesis testing: an overview. In: Baltagi, B. (ed.) A Companion to Theoretical Econometrics, Blackwell, Malden (2001) |
| [28] | R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna (2009). ISBN 3-900051-07-0 |
| [29] | Schabenberger, O., Gotway, C.: Statistical Methods for Spatial Data Analysis. Chapman & Hall, Boca Raton (2005) · Zbl 1068.62096 |
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