A standardized scan statistic for detecting spatial clusters with estimated parameters

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

11 Scopus Citations
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Author(s)

  • Lianjie Shu
  • Wei Jiang
  • Kwok-Leung Tsui

Detail(s)

Original languageEnglish
Pages (from-to)397-410
Journal / PublicationNaval Research Logistics
Volume59
Issue number6
Online published24 Jul 2012
Publication statusPublished - Sept 2012

Abstract

The scan statistic based on likelihood ratios (LRs) have been widely discussed for detecting spatial clusters. When developing the scan statistic, it uses the maximum likelihood estimates of the incidence rates inside and outside candidate clusters to substitute the true values in the LR statistic. However, the parameter estimation has a significant impact on the sensitivity of the scan statistic, which favors the detection of clusters in areas with large population sizes. By presenting the effects of parameter estimation on Kulldorff's scan statistic, we suggest a standardized scan statistic for spatial cluster detection. Compared to the traditional scan statistic, the standardized scan statistic can account for the varying mean and variance of the LR statistic due to inhomogeneous background population sizes. Extensive simulations have been performed to compare the power of the two cluster detection methods with known or/and estimated parameters. The simulation results show that the standardization can help alleviate the effects of parameter estimation and improve the detection of localized clusters. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012 Copyright © 2012 Wiley Periodicals, Inc.

Research Area(s)

  • change point detection, inhomogeneous Poisson distribution, KL divergence, misidentification, public health surveillance

Citation Format(s)

A standardized scan statistic for detecting spatial clusters with estimated parameters. / Shu, Lianjie; Jiang, Wei; Tsui, Kwok-Leung.
In: Naval Research Logistics, Vol. 59, No. 6, 09.2012, p. 397-410.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review