DeepAI AI Chat
Log In Sign Up

A functional-model-adjusted spatial scan statistic

by   Michael Genin, et al.
University of Lille

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.


page 9

page 12

page 14

page 15

page 22

page 23


Investigating spatial scan statistics for multivariate functional data

This paper introduces new scan statistics for multivariate functional da...

Detecting spatial clusters on functional data: a parametric scan statistic approach

This paper proposes a parametric scan statistic for detecting clusters o...

Spatial Autoregressive Models for Scan Statistic

Spatial scan statistics are well-known methods for cluster detection and...

A Bayesian shared-frailty spatial scan statistic model for time-to-event data

Spatial scan statistics are well known and widely used methods for the d...

Spatial Multiresolution Cluster Detection Method

A novel multi-resolution cluster detection (MCD) method is proposed to i...

Calibrating the scan statistic with size-dependent critical values: heuristics, methodology and computation

It is known that the scan statistic with variable window size favors the...

A Modified Net Reclassification Improvement Statistic

The continuous net reclassification improvement (NRI) statistic is a pop...