Analysis of ordered categorical responses, assuming an underlying continous variable

dc.contributor.author Mee, Robert
dc.contributor.department Statistics
dc.date 2018-08-15T06:39:57.000
dc.date.accessioned 2020-07-02T05:57:22Z
dc.date.available 2020-07-02T05:57:22Z
dc.date.copyright Thu Jan 01 00:00:00 UTC 1981
dc.date.issued 1981
dc.description.abstract <p>Procedures are discussed for the analysis of ordered categorical responses which are analogous to linear model procedures for a continuous response variable. The approach taken is based on the assumption that the observed categorical responses are determined by an underlying continuous variable, that satisfies a linear model. Previously, estimation procedures have been developed only for the case where the model for the assumed underlying variable is a fixed effects linear model;This approach is extended to the case where the linear model for the underlying continuous variable includes random as well as fixed effects. It will generally not be possible to evaluate the likelihood function. However, the EM algorithm is employed to develop procedures for computing maximum likelihood estimates for the fixed effects and predictions for the random effects. Estimation of variance ratios is also discussed. For the fixed effects case, conditions are given which ensure the asymptotic normality of the maximum likelihood estimator, and confidence intervals are derived for the probability for a response being in a particular category.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/6928/
dc.identifier.articleid 7927
dc.identifier.contextkey 6298649
dc.identifier.doi https://doi.org/10.31274/rtd-180813-4686
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/6928
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/79749
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/6928/r_8128839.pdf|||Sat Jan 15 01:30:59 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Statistics
dc.title Analysis of ordered categorical responses, assuming an underlying continous variable
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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