The procedure of Poisson regression model / Zuraira Libasin, Shamsunarnie Mohamed Zukri and Suryaefiza Karjanto

• Main Authors: Libasin, Zuraira, Mohamed Zukri, Shamsunarnie, Karjanto, Suryaefiza
• 格式: Research Reports
• 語言: English
• 出版: 2011
• 主題: Mathematical statistics. Probabilities; Data processing; Prediction analysis; Decision theory
• 在線閱讀: http://ir.uitm.edu.my/id/eprint/42655/1/42655.pdf; http://ir.uitm.edu.my/id/eprint/42655/

This study considers an analysis using a Poisson regression model where the response outcome is a count, with large outcomes being rare events. Estimates of the parameters are obtained by using the maximum likelihood estimates. Inferences about the regression parameters are based on Wald test and likelihood ratio test. In the model building process, the stepwise selection method were used to determine important predictor variables, diagnostic tools were used in detecting multicollinearity, non-constant variance, outliers, and also analysis of residual were used to measure the goodness fit of the model. Applications of these methods are illustrated by employing a case study of lower respiratory illness data in infants which took repeated observations of infants over one year (LaVange et at, 1994). Six explanatory variables involve the number of weeks during that year for which the child is considered to be at risk, crowded conditions occur in the household, family’s socioeconomic status, race, passive smoking, and age group. We found that the explanatory variables which contribute significantly are passive smoking and crowding. Social economic status and race do not appear to be influential, and neither does age group.