ABSTRACT
This chapter surveys univariate and multivariate methods for infectious disease outbreak detection. The setting considered is a prospective one: data arrives sequentially as part of the surveillance systems maintained by public health authorities, and the task is to determine whether to ”sound the alarm” or not, given the recent history of data.
The chapter begins by describing two popular detection methods for univariate time series data: the EARS algorithm of the CDC, and the Farrington algorithm more popular at European public health institutions. This description is followed by a discussion of methods that extend some of the univariate methods to a multivariate setting. These methods may enable the detection of outbreaks whose signal is only weakly present in any single data stream considered on its own.
The chapter ends with a longer discussion of methods for outbreak detection in spatio-temporal data. These methods are not only tasked with determining if and when an outbreak started to emerge, but also where. In particular, the scan statistics methodology for outbreak cluster detection in discrete-time area-referenced data is discussed, as well as similar methods for continuous-time, continuous-space data.
As a running example to illustrate the methods covered in the chapter, a dataset on invasive meningococcal disease in Germany in the years 2002--2008 is used. This data and the methods covered are available through the R packages surveillance and scanstatistics.
