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Table 1 The characteristics and result of three studies that compared GLM-based algorithms

From: Outbreak detection algorithms based on generalized linear model: a review with new practical examples

First Author, Year

Gabriel Bédubourg, 2017

Michael L Jackson, 2007

Angela Noufaily, 2019

Characteristics

Simulated/ Real Dataset

Simulated

Real & Simulated

Simulated

Type of Surveillance System

Weekly Health Surveillance

Daily Syndromic Surveillance

Daily Syndromic Surveillance

Measures to Assess the Performance of the Algorithms

FPRa, PODb, POD1weekc, Sensitivity, Specificity, PPVd, NPVe, F1

Sensitivity, Specificity, PPV, Timeliness

POD, Sensitivity, Specificity, PPV, Timeliness

Number of Algorithms Included

21

6

3

List of Algorithms Included

Farrington Flexible, Original Farrington, CDC (historical limits), CUSUM, CUSUM Rossi, CUSUM GLM, CUSUM, GLM Rossi, Bayes 1, Bayes 2, Bayes 3, RKI 1, RKI 2, RKI 3, GLR Negative Binomial, GLR Poisson, EARS C1, EARS C2, EARS C3

OutbreakP, periodic Poisson regression, periodic negative binomial regression

Three control chart-based algorithms commonly referred to as C1, C2, and C3, GLM, EWMA9, EWMA4

RAMMIE, EARS, Farrington Flexible

Result of Performance Measures

Farrington Flexiblef: (1.0%, 99.0%, 43.3%, 34.0%, 20.5%, 95.0%, 58.3%, 0.30)

Original Farrington: (2.3%, 97.7%, 56.9%, 45.5%, 29.0%, 95.4%, 45.0%, 0.35)

Periodic Poisson GLM: (3.3%, 96.8%, 67.8%, 56.6%, 35.6%, 95.8%, 42.3%, 0.39)

GLR Poisson: (15.15%, 84.5%, 75.5%, 60.3%, 45.9%, 95.9%, 16.4%, 0.24)

GLM model was more sensitive than the other algorithms and detected 54% (95% CI = 52%–56%) of the simulated epidemics when run at an alert rate of 0.01

Amongst the algorithm variants that have a high specificity (i.e. > 90%), Farrington Flexible has the highest sensitivity and specificity, but it is not most timely

  1. aFalse Positive Rate
  2. bProbability of Detection
  3. cProbability of Detection during the first week
  4. dPositive Predictive Value
  5. eNegative Predictive Value
  6. fThe reported numbers are respectively (FPR, Specificity, POD, POD1week, Sensitivity, NPV, PPV and F1-measure)