Abstract
The aim of the paper is the presentation of the modification of the classical discriminant analysis. This proposal is connected with the occurrence of the spatial autocorrelation described by the spatial weights matrix, representing non-measurable spatial relationships between discriminated objects. In the model of spatial discriminant analysis there are non-spatial parameters for diagnostic variables and spatial parameters for the additional variables calculated as the product of spatial weights matrix and diagnostic variables. Such approach is an alternative solution to existing methods based on correction of a priori or a posteriori probabilities. The empirical verification of the proposed method was conducted for 114 gminas of Zachodniopomorskie voivodship in three years. The results obtained confirmed the improvement of the classification quality in case of spatial discriminant analysis in comparison to classical discriminant analysis.
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Batóg, J., Batóg, B. (2020). Classification of Local Administrative Units in Poland: Spatial Approach. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Theory and Applications of Dependable Computer Systems. DepCoS-RELCOMEX 2020. Advances in Intelligent Systems and Computing, vol 1173. Springer, Cham. https://doi.org/10.1007/978-3-030-48256-5_4
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