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oai:www.ideals.illinois.edu:2142/21596 2023-07-10 col_2142_5131 col_2142_17362 com_2142_5130 com_2142_17361 com_2142_8903

Cox, Dennis D. Amarasinghe, Upali Ananda 2011-05-07T13:13:22Z 2011-05-07T13:13:22Z 10000-01-01 1991 Consider the model $y\sb{lj} = \mu\sb{l}(t\sb{j})$ + $\varepsilon\sb{lj}$, $l = 1,..,m$ and $j = 1,..,n,$ where $\varepsilon\sb{lj}$ are independent mean zero finite variance random variables. Under the above setting we test the hypotheses $H\sb0 : \mu\sb1 (t) {=..=}\ \mu\sb{m}(t)$ vs $H\sb{a} : \mu\sb{l}(t)$ are not all equal. Different procedures for testing the above hypotheses are studied. Test procedures are based on comparing estimates of the regression functions. Both smoothing spline and orthogonal series estimators are considered and the smoothing parameters are selected using Generalized Cross Validation criterion. Under some regularity conditions the asymptotic distributions of some of the test statistics are shown to be normal. Asymptotic power comparisons for the shift alternative are discussed. Comparison of regression curves in Bayesian nonparametric regression is also investigated. Made available in DSpace on 2011-05-07T13:13:22Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9210725.pdf: 4962173 bytes, checksum: c252adc48055c3b0afa61915265a01b9 (MD5) Previous issue date: 1991 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:51:51Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:23:51-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9210725 (UMI)AAI9210725 http://hdl.handle.net/2142/21596 eng Copyright 1991 Amarasinghe, Upali Ananda Statistics Comparison of several curves in the context of nonparametric regression text Statistics Statistics University of Illinois at Urbana-Champaign Dissertation Ph.D.