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    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/110957
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/110957

    Title: A Modification to Geographically Weighted Regression
    Authors: 梁穎誼
    Leong, Yin-Yee;Yue, Jack C.
    Contributors: 統計博六
    Keywords: Geographically weighted regression;Modifiable areal unit problem (MAUP);Generalized additive model;Computer simulation;Cross validation
    Date: 2017-03
    Issue Date: 2017-07-12 11:41:41 (UTC+8)
    Abstract: Background-Geographically weighted regression (GWR) is a modelling technique designed to deal with spatial non-stationarity, e.g., the mean values vary by locations. It has been widely used as a visualization tool to explore the patterns of spatial data. However, the GWR tends to produce unsmooth surfaces when the mean parameters have considerable variations, partly due to that all parameter estimates are derived from a fixed- range (bandwidth) of observations. In order to deal with the varying bandwidth problem, this paper proposes an alternative approach, namely Conditional geographically weighted regression (CGWR). Methods-The estimation of CGWR is based on an iterative procedure, analogy to the numerical optimization problem. Computer simulation, under realistic settings, is used to compare the performance between the traditional GWR, CGWR, and a local linear modification of GWR. Furthermore, this study also applies the CGWR to two empirical datasets for evaluating the model performance. The first dataset consists of disability status of Taiwan’s elderly, along with some social-economic variables and the other is Ohio’s crime dataset. Results-Under the positively correlated scenario, we found that the CGWR produces a better fit for the response surface. Both the computer simulation and empirical analysis support the proposed approach since it significantly reduces the bias and variance of data fitting. In addition, the response surface from the CGWR reviews local spatial characteristics according to the corresponded variables. Conclusions-As an explanatory tool for spatial data, producing accurate surface is essential in order to provide a first look at the data. Any distorted outcomes would likely mislead the following analysis. Since the CGWR can generate more accurate surface, it is more appropriate to use it exploring data that contain suspicious variables with varying characteristics.
    Relation: International Journal of Health Geographics, 16(11), 1-18
    Data Type: article
    DOI 連結: http://dx.doi.org/10.1186/s12942-017-0085-9
    DOI: 10.1186/s12942-017-0085-9
    Appears in Collections:[統計學系] 期刊論文

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