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Model-based Tests for Standards Evaluation and Biological Assessments

dc.contributor.authorLi, Zhengrongen
dc.contributor.committeechairSmith, Eric P.en
dc.contributor.committeememberYagow, Eugene R.en
dc.contributor.committeememberYe, Keyingen
dc.contributor.committeememberPrins, Samantha C. Batesen
dc.contributor.committeememberMorgan, John P.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2014-03-14T20:16:49Zen
dc.date.adate2007-09-27en
dc.date.available2014-03-14T20:16:49Zen
dc.date.issued2006-08-15en
dc.date.rdate2007-09-27en
dc.date.sdate2007-09-26en
dc.description.abstractImplementation of the Clean Water Act requires agencies to monitor aquatic sites on a regular basis and evaluate the quality of these sites. Sites are evaluated individually even though there may be numerous sites within a watershed. In some cases, sampling frequency is inadequate and the evaluation of site quality may have low reliability. This dissertation evaluates testing procedures for determination of site quality based on modelbased procedures that allow for other sites to contribute information to the data from the test site. Test procedures are described for situations that involve multiple measurements from sites within a region and single measurements when stressor information is available or when covariates are used to account for individual site differences. Tests based on analysis of variance methods are described for fixed effects and random effects models. The proposed model-based tests compare limits (tolerance limits or prediction limits) for the data with the known standard. When the sample size for the test site is small, using model-based tests improves the detection of impaired sites. The effects of sample size, heterogeneity of variance, and similarity between sites are discussed. Reference-based standards and corresponding evaluation of site quality are also considered. Regression-based tests provide methods for incorporating information from other sites when there is information on stressors or covariates. Extension of some of the methods to multivariate biological observations and stressors is also discussed. Redundancy analysis is used as a graphical method for describing the relationship between biological metrics and stressors. A clustering method for finding stressor-response relationships is presented and illustrated using data from the Mid-Atlantic Highlands. Multivariate elliptical and univariate regions for assessment of site quality are discussed.en
dc.description.degreePh. D.en
dc.identifier.otheretd-09262007-153618en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-09262007-153618/en
dc.identifier.urihttp://hdl.handle.net/10919/29108en
dc.publisherVirginia Techen
dc.relation.haspartZR-complete.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectmodel-based testsen
dc.subjectwater quality assessmenten
dc.subjectrandom effects modelsen
dc.subjectregression-based testen
dc.subjectredundancy analysisen
dc.subjectreduced-rank analysisen
dc.subjectfixed effects modelsen
dc.titleModel-based Tests for Standards Evaluation and Biological Assessmentsen
dc.typeDissertationen
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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