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Table 2 AIC scores for the Poisson, negative binomial and inverse Gaussian generalized additive model with log link function modeling the ILI incidence rate in association with PM2.5 interacting with flu season, while adjusting for daily temperature, humidity, month and year effects. The PM2.5 is lagged by 0, 1, 2, 3, 4, and 5 days prior to the ILI reporting date and lag01 (PM2.5 averaged over the current day and the previous day), lag 02 (PM2.5 averaged over the current day, the previous day and 2 days before the current day) and so on, up to mean lag05 (PM2.5 averaged over the past 6 days)

From: Impact of ambient fine particulate matter (PM2.5) exposure on the risk of influenza-like-illness: a time-series analysis in Beijing, China

lag Inverse Gaussian Negative binomial Poisson
0 36828 37244 381533
1 36842 37249 381169
2 36881 37284 385726
3 36913 37314 390007
4 36919 37320 390605
5 36912 37314 389934
01 36817 37237 381769
02 36818 37233 380303
03 36828 37243 381532
04 36840 37251 380915
05 36847 37256 381354
  1. The bolded number indicates the smallest number in the table