Application Research Of Multivariate Statistical Theory On GIS Non-spatial Information Analysis

Non-spatial information analysis, which is used to solve those problems related to spatial analysis, is an analysis method for Non-spatial characteristics of spatial data and an important component of spatial analysis in GIS. However, in the GIS alteration course from project-driven to data-driven, non-spatial information analysis nowadays puts up lots of shortcomings, such as short of powerful analysis ability and ignoring those characteristics of data actual nature, which are far from away to provide assistant decision-making support. So, it is necessary to import multivariate statistical theory to Non-spatial information analysis. In this paper, factor analysis and cluster analysis are used to improve non-spatial information analysis.Firstly, this paper discusses the combination difficulties of multivariate statistical theory and GIS. At the same time, three kinds of combination models are provided and compared. Secondly, factor analysis are made use to reduce structure and eliminate relativity for mass data. The course of factor analysis are discussed, including the evaluation of analysis suitability, the factor computation ways, the numbers of factor, the factor rotation methods, the calculation of factor score and so on. Afterwards, cluster analysis is used to classify mass data. The paper are attached most importance to both Hierarchical cluster and fast cluster. The course of modeling and arithmetic are discussed in detail. Especially, those four assessing criterions such as RSQ, SPRSQ, PSF and PST2, are provided and compared. Based on factor analysis and cluster analysis, an analysis model of economy sustainable development assessment is established and made on Guangdong Province as an example. After every county economy data in 1999 are analysed, several factors of economy sustainable development are gained and those counties are classified by the above result of factor analysis. It can bring forward lots of reasonable suggestions to make policies of suitable economy sustainable development and assess its development condition.