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Reducing False Discoveries in Statistically-Significant Regional-Colocation Mining: A Summary of Results

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  • Subhankar Ghosh
  • Jayant Gupta
  • Arun Sharma
  • Shuai An
  • Shashi Shekhar

Abstract

Given a set \emph{S} of spatial feature types, its feature instances, a study area, and a neighbor relationship, the goal is to find pairs $ $ such that \emph{C} is a statistically significant regional-colocation pattern in $r_{g}$. This problem is important for applications in various domains including ecology, economics, and sociology. The problem is computationally challenging due to the exponential number of regional colocation patterns and candidate regions. Previously, we proposed a miner \cite{10.1145/3557989.3566158} that finds statistically significant regional colocation patterns. However, the numerous simultaneous statistical inferences raise the risk of false discoveries (also known as the multiple comparisons problem) and carry a high computational cost. We propose a novel algorithm, namely, multiple comparisons regional colocation miner (MultComp-RCM) which uses a Bonferroni correction. Theoretical analysis, experimental evaluation, and case study results show that the proposed method reduces both the false discovery rate and computational cost.

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  • Subhankar Ghosh & Jayant Gupta & Arun Sharma & Shuai An & Shashi Shekhar, 2024. "Reducing False Discoveries in Statistically-Significant Regional-Colocation Mining: A Summary of Results," Papers 2407.02536, arXiv.org.
    • Handle: RePEc:arx:papers:2407.02536
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    1. Julian Besag & Peter J. Diggle, 1977. "Simple Monte Carlo Tests for Spatial Pattern," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(3), pages 327-333, November.
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