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. 2017 Jul 18;11(7):e0005729. doi: 10.1371/journal.pntd.0005729

Table 3. Forecast analysis.

Dengue estimation capacity of tweets up to 8 weeks in advance. The model selected (Table 2) was adjusted to different time lags between tweets and Dengue cases, the numbers (Tw-1, Tw-2,…Tw-n) indicates the number of weeks that tweets are considered before the week of Dengue prediction.

MODEL Model
(Dengue ~ Negative Binomial (μt, k))
FORECAST
(week in advance)
AIC Deviance Explained R-sq. (adj) Mean relative error *
Twt log(μt) = ƒ1(Tweetst) + ƒ2(weekt) + eyeart + β0 0 3805.52 93.7 0.94 0.34
Twt-1 log(μt) = ƒ1(Tweetst-1) + ƒ2(weekt) + eyeart + β0 1 3825.92 93.0 0.94 0.36
Twt-2 log(μt) = ƒ1(Tweetst-2) + ƒ2(weekt) + eyeart + β0 2 3849.33 92.2 0.92 0.40
Twt-3 log(μt) = ƒ1(Tweetst-3) + ƒ2(weekt) + eyeart + β0 3 3868.49 91.4 0.90 0.44
Twt-4 log(μt) = ƒ1(Tweetst-4) + ƒ2(weekt) + eyeart + β0 4 3877.07 91.0 0.89 0.45
Twt-5 log(μt) = ƒ1(Tweetst-5) + ƒ2(weekt) + eyeart + β0 5 3881.43 90.8 0.88 0.40
Twt-6 log(μt) = ƒ1(Tweetst-6) + ƒ2(weekt) + eyeart + β0 6 3896.20 90.1 0.89 0.40
Twt-7 log(μt) = ƒ1(Tweetst-7) + ƒ2(weekt) + eyeart + β0 7 3918.60 88.9 0.88 0.44
Twt-8 log(μt) = ƒ1(Tweetst-8) + ƒ2(weekt) + eyeart + β0 8 3931.54 88.2 0.87 0.46

* mean absolute relative difference between predicted Dengue cases and observed cases