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
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324000 |
| Date | January 2002 |
| Contributors | Kwok, Kin On., Chinese University of Hong Kong Graduate School. Division of Statistics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, iv, 51 leaves ; 30 cm. |
| Rights | Use 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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