A Poisson mixed modeling approach to longitudinal multinomial data of varying cluster sizes

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dc.contributor.advisorYan, Guohua
dc.contributor.advisorRenjun Ma
dc.contributor.authorFu, Zheng
dc.date.accessioned2023-03-01T16:28:09Z
dc.date.available2023-03-01T16:28:09Z
dc.date.issued2020
dc.date.updated2023-03-01T15:02:21Z
dc.description.abstractLongitudinal studies and categorical data analysis are commonly used in many areas, such as medicine, public health, and psychology. Researchers have developed many analytic methods for longitudinal data and categorical data separately. However, the methods for analysing data with both longitudinal and categorical properties are sparse. This thesis proposes a baseline-category model for nominal data and a continuation-ratio logit model for ordinal data, which are both constructed from a set of Poisson mixed models. Three levels of random effects are introduced to account for the effects of the subjects, the time and the categories. Since the models are rooted from Poisson mixed models, they can give both proportion and count inference. Additionally, the 3 levels of random effects are very flexible to handle different data sets and to fit different research interests.
dc.description.copyright© Zheng Fu, 2020
dc.formattext/xml
dc.format.extentix, 71 pages
dc.format.mediumelectronic
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/13912
dc.language.isoen_CA
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplineMathematics and Statistics
dc.titleA Poisson mixed modeling approach to longitudinal multinomial data of varying cluster sizes
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.fullnameMaster of Science
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.levelmasters
thesis.degree.nameM.Sc.

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