Influence Analysis on Spatial Data

碩士 === 國立中正大學 === 數學系統計科學研究所 === 102 === Spatial statistics are mainly aimed to analyze spatial data which are often correlated in space and are differentiated from typical data. While conduct- ing a spatial data analysis, observations that are suspicious (e.g. outliers and/or influential points) wi...

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Bibliographic Details
Main Authors: Chen, Yang-Ti, 陳揚迪
Other Authors: Huang, Yu-Fen
Format: Others
Language:en_US
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/j7at85
Description
Summary:碩士 === 國立中正大學 === 數學系統計科學研究所 === 102 === Spatial statistics are mainly aimed to analyze spatial data which are often correlated in space and are differentiated from typical data. While conduct- ing a spatial data analysis, observations that are suspicious (e.g. outliers and/or influential points) will cause problems. Such observations need to be detected so that appropriate adjustments can be made to the analysis. Therefore, detection of such influential points in spatial data is essential. In this thesis, we first review two methods called spatial-statistic and scatter- plot for the outlier detection in spatial data. Then we focus on developing influence functions and local influence to identify influential points/outlying observations in spatial data as an alternative approach. The differences be- tween the proposed approach and the existing methods are also investigated. A real data example related Wisconsin tornadoes is given to illustrate the results.