Please use this identifier to cite or link to this item:
Title: Solving Some Behrens-Fisher Problems Using Modified Bartlett Correction
Keywords: Behrens-Fisher Problem, Modified Bartlett Correction, Wald Type Statistic, General Linear Hypothese Test
Issue Date: 23-Apr-2013
Citation: LIU XUEFENG (2013-04-23). Solving Some Behrens-Fisher Problems Using Modified Bartlett Correction. ScholarBank@NUS Repository.
Abstract: The Behrens-Fisher (BF) problems refer to compare the means or mean vectors of several normal populations without assuming the equality of the variances or covariance matrices of those normal populations. These BF problems are challenging and caught much attention for decades since the standard testing procedures such as the t-test, F-test, Hotelling T2-test, or the Lawley-Hotelling trace test may fail for these BF problems. In this thesis, we solve various BF problems by applying the modified Bartlett correction of Fujikoshi (2000). These BF problems include heterogenous one-way ANOVA, multi-way ANOVA, one-way MANOVA, two-way MANOVA, and regression coefficient comparison under heteroscedasticity. For each BF problem, we show that the asymptotic distribution of the test statistic is Chi-square with some known degrees of freedom and we find out the expressions of the asymptotic mean and variance of the test statistic which allow us to apply the modified Bartlett correction. In each of these BF problems, by simulation studies and real data applications, we find that the resulting modified Bartlett test works well compared with the existing approximate solutions to the associated Behrens-Fisher problem.
Appears in Collections:Ph.D Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
Liu Xuefeng thesis.pdf531.45 kBAdobe PDF



Page view(s)

checked on Dec 15, 2018


checked on Dec 15, 2018

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.