Interval estimators of parameters for normal one sample and balanced one-way random effects models when data are rounded

dc.contributor.advisor Stephen B. Vardeman
dc.contributor.author Lee, Chiang-Sheng
dc.contributor.department Industrial and Manufacturing Systems Engineering
dc.date 2018-08-24T19:01:31.000
dc.date.accessioned 2020-06-30T07:05:44Z
dc.date.available 2020-06-30T07:05:44Z
dc.date.copyright Mon Jan 01 00:00:00 UTC 2001
dc.date.issued 2001-01-01
dc.description.abstract <p>In standard statistical analysis, data are typically assumed to be essentially exact. But in fact, all real data are reported to some smallest unit of measure related to the precision of the device used to produce them. We might call such data "rounded" because they are really obtained by "rounding to something." We first discuss the interval estimation of the parameters mu and sigma, when a single rounded sample comes from the N(mu, sigma 2) distribution with both parameters unknown. Then we discuss the interval estimation of variance components sigma and sigmatau if rounded data are from a balanced one-way normal random effects model. For each problem rounded-data likelihood-based methods are compared to naive calculations made as if observations were exact. We find that with some modifications the likelihood-based methods provide an effective way to analyze such data.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/1055/
dc.identifier.articleid 2054
dc.identifier.contextkey 6090407
dc.identifier.doi https://doi.org/10.31274/rtd-180813-11536
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/1055
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/63708
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/1055/r_3016720.pdf|||Fri Jan 14 18:23:17 UTC 2022
dc.subject.disciplines Industrial Engineering
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Industrial and manufacturing systems engineering
dc.subject.keywords Industrial engineering
dc.title Interval estimators of parameters for normal one sample and balanced one-way random effects models when data are rounded
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 51d8b1a0-5b93-4ee8-990a-a0e04d3501b1
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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