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Aggregating the response in time series regression models, applied to weather-related cardiovascular mortality.


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Masselot, Pierre; Chebana, Fateh ORCID logoORCID: https://orcid.org/0000-0002-3329-8179; Bélanger, Diane; St-Hilaire, André; Abdous, Belkacem; Gosselin, Pierre et Ouarda, Taha B. M. J. ORCID logoORCID: https://orcid.org/0000-0002-0969-063X (2018). Aggregating the response in time series regression models, applied to weather-related cardiovascular mortality. Science of The Total Environment , vol. 628-62 . pp. 217-225. DOI: 10.1016/j.scitotenv.2018.02.014.

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In environmental epidemiology studies, health response data (e.g. hospitalization or mortality) are often noisy because of hospital organization and other social factors. The noise in the data can hide the true signal related to the exposure. The signal can be unveiled by performing a temporal aggregation on health data and then using it as the response in regression analysis. From aggregated series, a general methodology is introduced to account for the particularities of an aggregated response in a regression setting. This methodology can be used with usually applied regression models in weather-related health studies, such as generalized additive models (GAM) and distributed lag nonlinear models (DLNM). In particular, the residuals are modelled using an autoregressive-moving average (ARMA) model to account for the temporal dependence. The proposed methodology is illustrated by modelling the influence of temperature on cardiovascular mortality in Canada. A comparison with classical DLNMs is provided and several aggregation methods are compared. Results show that there is an increase in the fit quality when the response is aggregated, and that the estimated relationship focuses more on the outcome over several days than the classical DLNM. More precisely, among various investigated aggregation schemes, it was found that an aggregation with an asymmetric Epanechnikov kernel is more suited for studying the temperature-mortality relationship.

Type de document: Article
Mots-clés libres: time series regression; ARMA; temporal aggregation; temporal dependence; cardiovascular mortality; temperature
Centre: Centre Eau Terre Environnement
Date de dépôt: 06 avr. 2018 15:58
Dernière modification: 15 févr. 2022 19:55
URI: https://espace.inrs.ca/id/eprint/6883

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