This article presents a model that is a natural generalization of both the spatial effects linear model and the linear model with spatial disturbances. Maximum likelihood methods are presented that provide estimates of the parameters of the model together with the asymptotic variance-covariance matrix of the estimates. Numerical illustrations of these methods are provided.
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References
1.
BRANDSMA, A. S.
and R. H. KETELLAPPER (1979) “A biparametric approach to spatial autocorrelation.”Environment and Planning11: 51-58.
2.
CHIROT, D.
and C. RAGIN (1975) “The market, tradition and peasant rebellion: the case of Romania in 1907.”Amer. Soc. Rev.40 (August): 428-444.
3.
CLIFF, A. D.
and J. K. ORD (1973) Spatial Autocorrelation. London: Pion.
4.
DOREIAN, P.
(1981) “On the estimation of linear models with spatially distributed data,” pp. 359-388 in S. Leinhardt (ed.) Sociological Methodology. San Francisço: Jossey-Bass.
5.
DOREIAN, P.
(1980) “Linear models with spatially distributed data: spatial disturbances or spatial effects?”Soc. Methods and Research9 (August): 29-66.
6.
DOREIAN, P.
and N. HUMMON (1976) Modeling Social Processes. New York: Elsevier North-Holland.
7.
FRISBIE, W. P.
and D. L. POSTON (1975) “Components of sustenance organization and nonmetropolitan change: a human ecological investigation.”Amer. Soc. Rev.40 (December): 773-784.
8.
HIBBS, D.
(1974) “Problems of statistical estimation and causal inference in time-series regression models,” pp. 252-308 on H. L. Costner (ed.) Sociological Methodology. San Francisco: Jossey-Bass.
9.
HOWARD, P. H.
(1971) Political Tendencies in Louisiana. Baton Rouge: Louisiana State Univ. Press.
10.
HOWARD, P. H.
and C. GRENIER (1978) “A longitudinal analysis of political change: a proposed methodological approach.” SOECO Papers on Social Ecology, Ljubljana.
11.
MITCHELL, E. J.
(1969) “Some econometrics of the Huk rebellion.”Amer. Pol. Sci. Rev.63: 1159-1171.
12.
NIELSON, K. L.
(1968) Methods in Numerical Analysis. New York: Macmillan.
13.
ORD, K.
(1975) “Estimation methods for models of spatial interaction.”J. of the Amer. Statistical Association70 (March): 120-126.
14.
RAO, P.
and R. L. MILLER (1971) Applied Econometrics. Belmont, CA: Wadsworth.
15.
SALAMON, L. M.
and S. VAN EVERA (1973) “Fear, apathy, and discrimination: a test of three explanations of political participation.”Amer. Pol. Sci. Rev.67 (December): 1288-1306.