Journal of the Korean Data and Information Science Society

한국데이터정보과학회 (The Korean Data and Information Science Society)
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공간이웃정보를 고려한 공간회귀분석

A study on the spatial neighborhood in spatial regression analysis

  • Kim, Sujung (Mibyeong Research Center, Korea Institute of Oriental Medicine)
  • 투고 : 2017.04.12
  • 심사 : 2017.05.18
  • 발행 : 2017.05.31
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초록

최근, 더욱 상세하고 정확한 추정 결과를 위해 소지역추정(small area estimation; SAE)의 연구가 많이 진행되고 있다. 그 중 공간회귀모형 (spatial regression model)을 이용한 방법이 주를 이루고 있는데 이를 사용하기 위해서는 공간이웃 (spatial neighbor)의 정의가 필요하다. 본 연구에서는 공간이웃을 정의하는 방법으로 도로네 삼각망 (Delaunay triangulation; DT)을 소개하고 k-최근접 (k-nearest neighbor; KNN)과 비교하여 분석한다. 두 가지 공간이웃을 정의하는 방법중에서 어떤 방법으로 이웃을 정의하는 것이 효율적인지 알아보기 위해 시뮬레이션을 실시하였고, 지가 (land price)데이터를 이용하여 실 데이터를 분석하였다.

Recently, numerous small area estimation studies have been conducted to obtain more detailed and accurate estimation results. Most of these studies have employed spatial regression models, which require a clear definition of spatial neighborhoods. In this study, we introduce the Delaunay triangulation as a method to define spatial neighborhood, and compare this method with the k-nearest neighbor method. A simulation was conducted to determine which of the two methods is more efficient in defining spatial neighborhood, and we demonstrate the performance of the proposed method using a land price data.

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