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dc.contributor.authorSun, Siu Kei
dc.date.accessioned2010-02-09T21:41:10Z
dc.date.available2010-02-09T21:41:10Z
dc.date.issued2010-02-09T21:41:10Z
dc.date.submittedDecember 2009
dc.identifier.urihttp://hdl.handle.net/1928/10327
dc.description.abstractFan and Huang (2001) presented a goodness-of-fit test for linear models based on Fourier transformations of the residuals of the fitted model. We present two more theoretically appealing tests in which the Fourier transforms are incorporated into a fitted model. We show that when suitably normalized, the new test statistics have the same asymptotic distribution as Fan and Huang's test. We propose modifications to the asymptotic normalization constants to improve the small sample sizes of our tests while retaining their asymptotic distributions. Small sample sizes and powers are examined via simulations. Real data of short-leaf pines from Bruce and Schumacher (1935) are used to illustrate the performance of the proposed tests.en_US
dc.language.isoen_USen_US
dc.subjectFourier transforms, Lack-of-fit tests, Linear modelsen_US
dc.subject.lcshLinear models (Statistics)
dc.subject.lcshGoodness-of-fit tests.
dc.subject.lcshFourier transformations.
dc.subject.lcshRegression analysis--Asymptotic theory.
dc.subject.lcshForests and forestry--Measurement--Statistical methods.
dc.titleAlternative goodness-of-fit tests for linear modelsen_US
dc.typeDissertationen_US
dc.description.degreeStatisticsen_US
dc.description.levelDoctoralen_US
dc.description.departmentUniversity of New Mexico. Dept. of Mathematics and Statisticsen_US
dc.description.advisorChristensen, Ronald
dc.description.committee-memberHuerta, Gabriel
dc.description.committee-memberFugate, Michael
dc.description.committee-memberBedrick, Edward


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