Bootstrapping with Models for Count Data

• Published in: Journal of biopharmaceutical statistics Vol. 21; no. 6; pp. 1164 - 1176
• Main Author: Manly, Bryan F. J.
• Format: Journal Article
• Language: English
• Published: England Taylor & Francis Group 01.11.2011; Taylor & Francis Ltd
• Subjects: Animals; Bootstrap method; Bootstrap resampling; Computer Simulation - statistics & numerical data; Computer-intensive methods; Counting; Data Interpretation, Statistical; Ear; Fishing; Generalized linear models; Humans; Linear Models; Log-linear models; Marine mammals; Mathematical models; Models, Statistical; Resampling; Sampling techniques; Simulation; Statistics
• ISSN: 1054-3406; 1520-5711; 1520-5711
• DOI: 10.1080/10543406.2011.607748

Two methods of bootstrap resampling are discussed with log-linear models for count data. The first involves the resampling of observations and the second involves the resampling of Pearson residuals taking into account changes in the distribution of residuals associated with the expected values of counts. The use of both methods is illustrated on two data sets; one data set concerns the number of ear infections of swimmers related to whether they are frequent swimmers or not and three other variables, and the other data set concerns the number of visits to a doctor made in the last 2 weeks related to the age of subjects and 10 other variables. A third data set on the number of marine mammal interactions in different years and fishing areas is also used as an example. In this case only the second bootstrap method can be used because the nature of the data allows the bootstrap resampling of observations to produce sets of data that could not have occurred in practice. Simulation results indicate that the bootstrap results are slightly better than the results from a conventional analysis for the first data set, and much better than the results from a conventional analysis for the second data set, but a conventional analysis works well for the third data set while there are problems with bootstrap analyses.