Observation-Driven Model for Zero-Inflated Daily Counts of Emergency Room Visit Data
DOI:
https://doi.org/10.6000/1929-6029.2013.02.03.7Keywords:
Autocorrelation structure, non-stationary, observation-driven model, quasi-likelihood, zero-inflated PoissonAbstract
Time series data with excessive zeros frequently occur in medical and health studies. To analyze time series count data without excessive zeros, observation-driven Poisson regression models are commonly used in the literature. As handling excessive zeros in count data is not straightforward, observation-driven models are rarely used to analyze time series count data with excessive zeros. In this paper an observation-driven zero-inflated Poisson (ZIP) model for time series count data is proposed. This approach can accommodate an autoregressive serial dependence structure which commonly appears in time series. The estimation of the model parameters by using the quasi-likelihood estimating equation approach is discussed. To estimate the correlation parameters of the dependence structure, a moment approach is used. The proposed methodology is illustrated by applying it to a data set of daily emergency room visits due to bronchitis.
References
Jørgensen B, Lundbye-Christensen S, Song XK, Sun L. A longitudinal study of emergency room visits and air pollution for Prince George, British Columbia. Statist Med 1996; 15: 823-36. http://dx.doi.org/10.1002/(SICI)1097-0258(19960415)15:7/9<823::AID-SIM252>3.0.CO;2-A DOI: https://doi.org/10.1002/(SICI)1097-0258(19960415)15:7/9<823::AID-SIM252>3.0.CO;2-A
Knight K, Leroux BG, Millar J, Perkau AJ. Air pollution and human health: a study based on data from Prince George, British Columbia, Technical report 1991.
Hasan MT, Sneddon G, Ma R. Regression analysis of zero-inflated time-series counts: application to air pollution related emergency room visit data. J Appl Statist 2012; 39: 467-76. http://dx.doi.org/10.1080/02664763.2011.595778 DOI: https://doi.org/10.1080/02664763.2011.595778
Lambert D. Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 1992; 34: 1-14. http://dx.doi.org/10.2307/1269547 DOI: https://doi.org/10.2307/1269547
Ngatchou-Wandji J, Paris C. On the zero-inflated count models with application to modelling annual trends in incidences of some occupational allergic diseases in France. J Data Sci 2011; 9: 639-59. DOI: https://doi.org/10.6339/JDS.201110_09(4).0010
Yau KKW, Lee AH, Carrivick PJW. Modeling zero-inflated count series with application to occupational health. Comp Methods Progr Biomed 2004; 74: 47-52. http://dx.doi.org/10.1016/S0169-2607(03)00070-1 DOI: https://doi.org/10.1016/S0169-2607(03)00070-1
Hall DB. Zero-inflated Poisson and binomial regression with random effects: A case study. Biometrics 2000; 56: 1030-39. http://dx.doi.org/10.1111/j.0006-341X.2000.01030.x DOI: https://doi.org/10.1111/j.0006-341X.2000.01030.x
Min Y, Agresti A. Random effect models for repeated measures of zero-inflated count data. Statist Model 2005; 5: 1-19. http://dx.doi.org/10.1191/1471082X05st084oa DOI: https://doi.org/10.1191/1471082X05st084oa
Hasan MT, Sneddon G. Zero-inflated poisson regression for longitudinal data. Communications in Statistics: Simulation and Computation 2009; 38: 638-53. http://dx.doi.org/10.1080/03610910802601332 DOI: https://doi.org/10.1080/03610910802601332
Zeger SL. A regression model for time series of counts. Biometrika 1988; 75: 621-29. http://dx.doi.org/10.1093/biomet/75.4.621 DOI: https://doi.org/10.1093/biomet/75.4.621
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2013 Gary Sneddon, Wasimul Bari, M. Tariqul Hasan
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Policy for Journals/Articles with Open Access
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are permitted and encouraged to post links to their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work
Policy for Journals / Manuscript with Paid Access
Authors who publish with this journal agree to the following terms:
- Publisher retain copyright .
- Authors are permitted and encouraged to post links to their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work .