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An alternative method for testing the collapsibility in contingency tables: a bootstrap procedure.

Kwok Kin On. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 49-51). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Collapsibility of the multidimensional table --- p.1 / Chapter 1.2 --- Bootstrap Method --- p.4 / Chapter 1.3 --- Scope of the thesis --- p.6 / Chapter 2 --- Testing Collapsibility using traditional asymptotic testing procedure --- p.7 / Chapter 2.1 --- Dimensional reduction in R x C x K contingency table --- p.7 / Chapter 2.2 --- Odd ratio --- p.9 / Chapter 2.3 --- Three types of collapsibility --- p.11 / Chapter 2.3.1 --- Strict Collapsibility --- p.11 / Chapter 2.3.2 --- Strong Collapsibility --- p.12 / Chapter 2.3.3 --- Pseudo Collapsibility --- p.14 / Chapter 2.4 --- Setup of the testing procedure of collapsibility --- p.15 / Chapter 2.5 --- Asymptotic testing procedure of strict collapsibility --- p.16 / Chapter 2.6 --- Asymptotic testing procedure of pseudo collapsibility --- p.18 / Chapter 3 --- Testing Collapsibility using bootstrapping method --- p.20 / Chapter 3.1 --- Motivation of using bootstrap method --- p.20 / Chapter 3.2 --- Bootstrapping method --- p.20 / Chapter 3.3 --- Bootstrapping test procedure --- p.24 / Chapter 3.4 --- Test statistics --- p.27 / Chapter 3.4.1 --- Test statistics for strict collapsibility --- p.27 / Chapter 3.4.2 --- Test statistics for pseudo collapsibility --- p.29 / Chapter 4 --- Results --- p.31 / Chapter 4.1 --- Type I error rate of two tests --- p.31 / Chapter 4.1.1 --- Type I error rate of two tests for strict collapsibility --- p.31 / Chapter 4.1.2 --- Type I error rate of two tests for pseudo collapsibility --- p.35 / Chapter 4.2 --- Power of the two tests --- p.37 / Chapter 4.2.1 --- Power of two tests for strict collapsibility --- p.38 / Chapter 4.2.2 --- Power of two tests for pseudo collapsibility --- p.41 / Chapter 4.3 --- Application to Simpson's Paradox data --- p.45 / Chapter 4.3.1 --- Comparison of two tests for strict collapsibility on Simpson's Paradox data --- p.45 / Chapter 4.3.2 --- Comparison of two tests for strict collapsibility on Simpson's Paradox data --- p.46 / Chapter 4.4 --- Conclusion --- p.47 / Reference --- p.49-51

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324000
Date January 2002
ContributorsKwok, Kin On., Chinese University of Hong Kong Graduate School. Division of Statistics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, iv, 51 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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