期刊
JOURNAL OF THE KOREAN STATISTICAL SOCIETY
卷 41, 期 1, 页码 115-135出版社
KOREAN STATISTICAL SOC
DOI: 10.1016/j.jkss.2011.07.006
关键词
Goodness-of-fit test; Image data analysis; Kernel smoothing; Scale-space; Spatial correlation; Statistical significance
资金
- NSF [ATM-0620624, DMS-0906532]
- King Abdullah University of Science and Technology (KAUST) [KUS-C1-016-04]
- Office of Science, US Department of Energy
SiZer (Significant ZERo crossing of the derivatives) is a graphical scale-space visualization tool that allows for statistical inferences. In this paper we develop a spatial SiZer for finding significant features and conducting goodness-of-fit tests for spatially dependent images. The spatial SiZer utilizes a family of kernel estimates of the image and provides not only exploratory data analysis but also statistical inference with spatial correlation taken into account. It is also capable of comparing the observed image with a specific null model being tested by adjusting the statistical inference using an assumed covariance structure. Pixel locations having statistically significant differences between the image and a given null model are highlighted by arrows. The spatial SiZer is compared with the existing independent SiZer via the analysis of simulated data with and without signal on both planar and spherical domains. We apply the spatial SiZer method to the decadal temperature change over some regions of the Earth. (C) 2011 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
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