TY - RPRT
T1 - Examining secular trend and seasonality in count data using dynamic generalized linear modelling
T2 - A new methodological approach to hospital discharge data on myocardial infarction
AU - Lundbye-Christensen, Søren
AU - Dethlefsen, Claus
AU - Gorst-Rasmussen, Anders
AU - Fischer, T.
AU - Schønheyder, H.C.
AU - Rothman, K.J.
AU - Sørensen, H.T.
PY - 2007
Y1 - 2007
N2 - Aims Time series of incidence counts often show secular trends and seasonal patterns. We present a model for incidence counts capable of handling a possible gradual change in growth rates and seasonal patterns, serial correlation and overdispersion.Methods The model resembles an ordinary time series regression model for Poisson counts. It differs in allowing the regression coefficients to vary gradually over time in a random fashion.Data In the period January 1980 to 1999, 17,989 incidents of acute myocardial infarction were recorded in the county of Northern Jutland, Denmark. Records were updated daily.Results The model with a seasonal pattern and an approximately linear trend was fitted to the data, and diagnostic plots indicate a good model fit. The analysis with the dynamic model revealed peaks coinciding with influenza epidemics. On average the peak-to-trough ratio is estimated higher using the dynamic model, and graduate changes in seasonal pattern is seen.Conclusion Analyses conducted with this model provide detailed insights not available from more traditional analyses. The post-hoc analysis gives ideas to identify possible causal factors and confounders.
AB - Aims Time series of incidence counts often show secular trends and seasonal patterns. We present a model for incidence counts capable of handling a possible gradual change in growth rates and seasonal patterns, serial correlation and overdispersion.Methods The model resembles an ordinary time series regression model for Poisson counts. It differs in allowing the regression coefficients to vary gradually over time in a random fashion.Data In the period January 1980 to 1999, 17,989 incidents of acute myocardial infarction were recorded in the county of Northern Jutland, Denmark. Records were updated daily.Results The model with a seasonal pattern and an approximately linear trend was fitted to the data, and diagnostic plots indicate a good model fit. The analysis with the dynamic model revealed peaks coinciding with influenza epidemics. On average the peak-to-trough ratio is estimated higher using the dynamic model, and graduate changes in seasonal pattern is seen.Conclusion Analyses conducted with this model provide detailed insights not available from more traditional analyses. The post-hoc analysis gives ideas to identify possible causal factors and confounders.
M3 - Report
T3 - Research Report Series
BT - Examining secular trend and seasonality in count data using dynamic generalized linear modelling
PB - Department of Mathematical Sciences, Aalborg University
ER -