Spatial Aspects in the Multilevel Models Construction
DOI:
https://doi.org/10.18778/0208-6018.292.05Abstract
Multilevel (hierarchical) models are used for analysing data for which getting a few levels of the aggregation is possible. In the simplest case it is possible to present the way of organizing the levels in the form of the hierarchical structure or applying the cross-classification of data. The multilevel model construction might be used in the spatial analyses. The purpose of this article is to present the possibility of spatial processes analyses using multilevel models. The implementation techniques of the already existing multilevel models to the spatial structure were discussed. Additionally, the possibility of the traditional multilevel models rebuilding, towards taking into account spatial interactions, was present.
Downloads
References
Abreu M., De Groot H.L.F., Florax R.J.G.M., (2005), Space and growth: a survey of empirical evidence and methods, (in:) Region et Development, No. 21. DOI: https://doi.org/10.2139/ssrn.631007
Anselin L. (1988), Spatial Econometrics: Methods and Models, Springer, Vol. 4. DOI: https://doi.org/10.1007/978-94-015-7799-1
Anselin L., (2003), Spatial Externalities, Spatial Multipliers, And Spatial Econometrics (in:) International Regional Science Review, Vol. 26(2). DOI: https://doi.org/10.1177/0160017602250972
Arbia G., Battisti M., Di Vaio G., (2010), Institutions and geography: Empirical test of spatial growth models for European regions, (in:) Economic Modelling, Vol. 27. DOI: https://doi.org/10.1016/j.econmod.2009.07.004
Armstrong Ft., (1995), Convergence among regions of the European Union, 1950-1990, (in:) Papers in Regional Science, Vol. 74. DOI: https://doi.org/10.1111/j.1435-5597.1995.tb00633.x
Blume L. E., Brock W. A., Durlauf, S. N., Ioannides, Y. M., (2011), Identification of social interactions, Handbook of Social Economics, North-Holland. DOI: https://doi.org/10.2139/ssrn.1660002
Braumolle Y., Djebbari H., Fortin B., (2009), Identification of peer effects through social networks, (in:) Journal of Econometrics, No. 150. DOI: https://doi.org/10.1016/j.jeconom.2008.12.021
Brock W.A., Durlauf S.N., (2001), Interaction-based Models, NBER Technical Working Papers 0258. DOI: https://doi.org/10.3386/t0258
Capello R., Nijkamp P., (2009), Handbook of Regional Growth and Development Theories, Edward Elgar Publishing Limited. DOI: https://doi.org/10.4337/9781848445987
Chasco C., Le Galio J., (2012), Hierarchy and spatial autocorrelation effects in hedonic models, (in:) Economics Bulletin, Vol. 32.2.
Cohen-Cole E., (2006), Multiple groups identification in the linear-in-means model, (in:) Economics Letters, Vol. 92(2). DOI: https://doi.org/10.1016/j.econlet.2006.01.035
Corrado L., Distante R., (2012), Eating Behavior and Social Interactions from Adolescence to Adulthood, Discussion Papers Department of Economics University of Copenhagen. DOI: https://doi.org/10.2139/ssrn.2098920
Corrado L., Fingleton B., (2012), Where is the economics in spatial econometrics?, (in:) Journal of Regional Science, Vol. 52(2). DOI: https://doi.org/10.1111/j.1467-9787.2011.00726.x
Ferron J., (1997), Moving Between Hierarchical Modeling Notations, (in:) Journal of educational and behavioral statistics, Vol. 22. DOI: https://doi.org/10.2307/1165241
Goldstein H. (1999) Multilevel Statistical Models, Wiley.
Grab J., (2009), Econometric analysis in poverty research: with case studies from developing countries, Peter Lang.
Graham B., Hahn J., (2005), Identification and estimation of the linear-in-means model of social interactions, (in:) Economics Letters, Vol. 88. DOI: https://doi.org/10.1016/j.econlet.2005.02.001
Griffith, D. A., (1992), A Spatially Adjusted N-Way ANOVA Model, (in:) Regional Science and Urban Economics, Vol. 22. DOI: https://doi.org/10.1016/0166-0462(92)90034-X
Hays J.C., Kachi A., Franzese R.J., (2009), A spatial model incorporating dynamic, endogenous network interdependence: A political science application, (in:) Statistical Methodology, Vol. 7 (3). DOI: https://doi.org/10.1016/j.stamet.2009.11.005
Ioannides Y.M., Topa G., (2010), Neighborhood effects: accomplishments and looking beyond them, (in:) Journal of Regional Science, Vol. 50, No. 1. DOI: https://doi.org/10.1111/j.1467-9787.2009.00638.x
Lee L., (2007), Identification and Estimation of Spatial Econometric Models with Group Interactions, Contextual Factors and Fixed Effects, (in:) Journal of Econometrics, Vol. 140.2. DOI: https://doi.org/10.1016/j.jeconom.2006.07.001
Manski Ch., (1993), Identification of Endogenous Social Effects: The Reflection Problem, (in:) The Review of Economic Studies, Vol. 60, No. 3. DOI: https://doi.org/10.2307/2298123
Moffitt R., (2001), Policy Interventions, Low-Level Equilibra, and Social Interactions, (in:) Durlauf S., Young H. (Eds.), Social dynamics, MIT Press, Cambridge. DOI: https://doi.org/10.7551/mitpress/6294.003.0005
Snijders T.A.B., Bosker R.J., (2011), Multilevel analysis: An introduction to basic and advanced multilevel modelling, Sage Publications Limited.
Steenbergen M., Jones B., (2002), Modeling Multilevel Data Structures, (in:) American Journal of Political Science, Vol. 46, No. 1. DOI: https://doi.org/10.2307/3088424
Zeilstra A.S., (2008), Regional labour markets in a cross-country perspective, PPI Publishers,available: http://irs.ub.rug.n1/ppn/314552685





