2019/03/04 by Michaël Génin, Michael Genin, Genin, Michael +3 · 1 citation
Economics, Econometrics and Finance · Mathematics · Medicine · #Data-Driven Disease Surveillance #FOS: Computer and information sciences #Methodology (stat.ME) #Nutritional Studies and Diet #Spatial and Panel Data Analysis #stat.ME
paper · pdf · doi:10.48550/arxiv.1903.01130
arxiv created 2019/03/04 · openalex publication_date 2019/03/04 · arxiv updated 2019/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper introduces a new spatial scan statistic designed to adjust cluster detection for longitudinal confounding factors indexed in space. The functional-model-adjusted statistic was developed using generalized functional linear models in which longitudinal confounding factors were considered to be functional covariates. A general framework was developed for application to various probability models. Application to a Poisson model showed that the new method is equivalent to a conventional spatial scan statistic that adjusts the underlying population for covariates. In a simulation study with univariate and multivariate models, we found that our new method adjusts the cluster detection procedure more accurately than other methods. Use of the new spatial scan statistic was illustrated by analysing data on premature mortality in France over the period from 1998 to 2013, with the quarterly unemployment rate as a longitudinal confounding factor.