• Journal of the Korean Data and Information Science Society
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• 제15권1호
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• pp.83-94
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• 2004

In this study we analyze categorical data by means of spatial statistics and echelon analysis. To do this, we first determine the hierarchical structure of a given contingency table by using echelon dendrogram then, we detect candidates of hotspots given as the top echelon in the dendrogram. Next, we evaluate spatial scan statistics for the zones of significantly high or low rates based on the likelihood ratio. Finally, we detect hotspots of any size and shape based on spatial scan statistics.

• Journal of the Korean Data and Information Science Society
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• 제17권1호
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• pp.131-139
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• 2006

Statistical analyses for spatial data are important features for various types of fields. Spatial data are taken at specific locations or within specific regions and their relative positions are recorded. Lattice data are synoptic observation covering an entire spatial region, like cancer rates corresponding to each county in a state. The main purpose of this paper is to detect hotspots for the region with significantly high or low rates. Kulldorff(1997) detected hotspots based on circular spatial scan statistics. We propose a new method to find any shapes of hotspots by use of echelon analysis with spatial scan statistics.

• Journal of the Korean Statistical Society
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• 제34권3호
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• pp.173-183
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• 2005

The Box-Cox power transformation is generally used for variance stabilization. Recently, Shin and Kang (2001) showed, under the Box-Cox transformation, invariant properties to the original model under the large mean and relatively small variance assumptions in time series analysis. In this paper we obtain some invariant properties in spatial statistics. Spatial statistics, Invariant Property, Variogram, Box-Cox power Transformation.

• Journal of the Korean Data and Information Science Society
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• 제13권2호
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• pp.261-270
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• 2002

Recently, the demand of the Intelligent Transportation System(ITS) has been increased to a large extent, and a real-time traffic information service based on the internet system became very important. When ITS companies carry out real-time traffic services, they find some traffic data missing, and use the conventional method of reconstructing missing values by calculating average time trend. However, the method is found unsatisfactory, so that we develop a new method based the spatial and spatial-temporal models. A cross-validation technique shows that the spatial-temporal model outperforms the others.

• 응용통계연구
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• 제23권2호
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• pp.367-374
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• 2010

As an alternative to the k-means clustering the k-spatial medians clustering has many good points because of advantages of spatial median. However, it has not been used a lot since it needs heavy computation. If the number of objects and the number of variables are large the computation time problem is getting serious. In this study we propose fast algorithm for the k-spatial medians clustering. Practical applicability of the algorithm is shown with some numerical studies.

• 응용통계연구
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• 제25권4호
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• pp.641-650
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• 2012

Spatial time series data can be viewed as a set of time series simultaneously collected at a number of spatial locations. This paper studies Bayesian inferences in a spatial time bilinear model with a Gibbs sampling algorithm to overcome problems in the numerical analysis techniques of a spatial time series model. For illustration, the data set of mumps cases reported from the Korea Center for Disease Control and Prevention monthly over the years 2001~2009 are selected for analysis.

• 품질경영학회지
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• 제24권1호
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• pp.137-145
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• 1996

We propose a model which is useful for the analysis of the spatial time series data. The proposed model utilized the linear dependences across the spatial units as well as over time. Three stage model fitting procedures are suggested and the real data is analyzed.

• 대한지리학회지
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• 제42권4호
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• pp.616-631
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• 2007

거주지 분화 현상은 도시적 삶의 공간성을 파악하는데 본질적인 요소이기 때문에 도시학 연구에서 오랫동안 주목을 받아왔다. 거주지 분화 현상에 대한 연구 과제 중의 하나가 상이한 두 집단이 얼마나 공간적으로 분리되어 있는지를 측정하는 문제이다. 이러한 측면에서 가장 널리 사용되어온 것이 상이지수(index of dissimilarity)인데, 이 지수는 거주지 분리의 '불균등성(unevenness)'은 측정할 수 있지만, 공간적 '집중도(clustering)'는 측정하지 못하는 단점을 갖고 있다. 이러한 단점을 극복하기 위해 제안되어 온 '공간적 격리 지수(spatial indices of segregation)' 역시 가설검정 절차를 제시하지 못하고 최근의 공간통계학 연구 성과를 수용하지 못하는 등의 단점을 가지고 있다. 이러한 의미에서 본 논문의 주된 연구 목적은 새로운 '공간 분리성 측도(spatial separation measure)'를 개발하는 것이다. 이 공간 분리성 측도는 상이한 인구 집단이 거주 공간에 얼마나 불균등하게 분포하고 있는지에 대한 것뿐만 아니라 그러한 불균등 분포가 보여주는 공간적 의존성의 정도까지도 측정하는 새로운 통계량이다. 주요 연구 결과는 다음과 같다. 첫째, 기존의 '공간 연관성 측도(spatial association measures)'와 '공간적 카이-스퀘어 통계량(spatial chi-square statistics)'을 통합하여 새로운 측도를 개발했으며, 일반화된 랜덤화 검정법을 적용해 측도에 대한 유의성 검정법을 제시하였다. 둘째, 개발된 측도와 유의성 검정법을 우리나라 7대 도시의 학력 집단 간 거주지 분리 현상에 적용함으로써, 연구방법론으로서의 유용성을 확인하였다.

• 대한원격탐사학회:학술대회논문집
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• 대한원격탐사학회 2003년도 Proceedings of ACRS 2003 ISRS
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• pp.1479-1481
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• 2003

The aim of this paper was mainly to interpret the real information-missing patch of image by using the kriging interpolation technology of spatial statistics. The TM Image of the Jingouling Forest Farm of Wangqing Forestry Bureau of Northeast China on 1 July 1997 was used as the tested material in this paper. Based on the classification for the TM image, the information pixel-missing patch of image was interpolated by the kriging interpolation technology of spatial statistics theory under the image treatment software-ERDAS and the geographic information system software-Arc/Info. The interpolation results were already passed precise examination. This paper would provide a method and means for interpreting the information-missing patch of image.

• Journal of the Korean Data and Information Science Society
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• 제17권4호
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• pp.1181-1190
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• 2006

Statistical analyses for spatial data are important features for various types of fields. Spatial data are taken at specific locations or within specific regions and their relative positions are recorded. Lattice data are synoptic observation covering an entire spatial region, like cancer rates corresponding to each county in a state. Until now, the echelon analysis has been applied only to univariate spatial data. As a result, it is impossible to detect the hotspots on the multivariate spatial data In this paper, we expand the spatial data to time series structure. And then we analyze them on the time space and detect the hotspots. Echelon dendrogram has been made by piling up each multivariate spatial data to bring time spatial data. We perform the structural analysis of temporal spatial data.