A test for repeated measurements designs with high dimensional data

dc.contributor.advisorSamruam Chongcharoen, advisorth
dc.contributor.authorBoonyarit Choopraditth
dc.date.accessioned2014-05-05T08:50:05Z
dc.date.available2014-05-05T08:50:05Z
dc.date.issued2011th
dc.date.issuedBE2554th
dc.descriptionThesis (Ph.D. (Statistics))--National Institute of Development Administration, 2011th
dc.description.abstractRepeated measurements across time on the same subject are frequently observed in several scientific fields. A new challenge to statisticians today is dealing with conditions where the dimension of repeated measurements per subject is larger than the number of subjects, called high dimensional data. High dimensional repeated measurements data are increasingly encountered in various areas of modern science because classical multivariate statistics are not well defined. In this dissertation, test statistics for analyzing high dimensional one- and twosample repeated measurements designs are proposed. The test statistics do not depend on any specific pattern of the variance-covariance matrix. The proposed test statistics asymptotically follow a standard normal distribution. Monte Carlo simulation studies showed that the proposed test statistics have good power and approximately maintain the nominal level with small and any large . Moreover, the empirical power values of the proposed test statistics and the modified ANOVA-type statistics are rather close but the proposed test statistics always had a slightly higher power than the modified ANOVA-type statistics for all cases considered in the simulation. Application of the test statistics is illustrated using real-life data from a body-weight study of male Wistar rats.th
dc.format.extentxi, 125 leaves : ill. ; 30 cm.th
dc.format.mimetypeapplication/pdfth
dc.identifier.doi10.14457/NIDA.the.2011.42
dc.identifier.urihttp://repository.nida.ac.th/handle/662723737/381th
dc.language.isoength
dc.publisherNational Institute of Development Administrationth
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.th
dc.subject.lccQA 278 B644 2011th
dc.subject.otherMultivariate analysisth
dc.subject.otherExperimental designth
dc.titleA test for repeated measurements designs with high dimensional datath
dc.typetext--thesis--doctoral thesisth
mods.genreDissertationth
mods.physicalLocationNational Institute of Development Administration. Library and Information Centerth
thesis.degree.departmentSchool of Applied Statisticsth
thesis.degree.disciplineStatisticsth
thesis.degree.grantorNational Institute of Development Administrationth
thesis.degree.levelDoctoralth
thesis.degree.nameDoctor of Philosophyth
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