published_or_final_version / Statistics / Doctoral / Doctor of Philosophy

Leung Shun-piu. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 41-43). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Multiplicity Problem in Multiple Testing --- p.1 / Chapter 1.2 --- Family --- p.2 / Chapter 1.3 --- Family wise Error Rate --- p.2 / Chapter 1.4 --- Multiple Comparisons with a Control --- p.3 / Chapter 1.5 --- Single-step Procedures vs Stepwise Procedures --- p.4 / Chapter 1.6 --- Dunnett Procedure --- p.5 / Chapter 1.6.1 --- One-way Fixed Effect Model --- p.5 / Chapter 1.6.2 --- Simultaneous Inference and Test Statistics --- p.6 / Chapter 1.6.3 --- Calculation of the Upper and Lower Percentage Points --- p.8 / Chapter 1.7 --- Objectives --- p.10 / Chapter 2 --- Testing Procedures --- p.11 / Chapter 2.1 --- Simultaneous Inference in Mixed Families --- p.11 / Chapter 2.2 --- "Evaluation of C1,α and c2,α" --- p.13 / Chapter 2.3 --- Extension to Mixed Families with 3 Testing Groups --- p.15 / Chapter 3 --- The Calculation of Critical Values --- p.18 / Chapter 3.1 --- Calculation of Critical Values --- p.18 / Chapter 3.2 --- "Tabulation of Critical Values (c-*,α c*,α)" --- p.22 / Chapter 4 --- Numerical Example --- p.30 / Chapter 5 --- Conclusions --- p.34 / Appendix --- p.35 / References --- p.41

Lee Hang Ting. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 37-39). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Multiple comparison procedures --- p.1 / Chapter 1.2 --- Multiple comparisons with a control (MCC) --- p.2 / Chapter 1.3 --- MCC in two-way designs --- p.3 / Chapter 1.4 --- Directional-mixed families --- p.4 / Chapter 1.5 --- Objectives --- p.6 / Chapter 2 --- MCC with directional-mixed families in one-way designs: a review --- p.8 / Chapter 2.1 --- The model --- p.8 / Chapter 2.2 --- The test statistics --- p.8 / Chapter 2.3 --- The evaluation of critical constants --- p.9 / Chapter 2.4 --- Testing and estimation --- p.11 / Chapter 2.5 --- An example --- p.12 / Chapter 3 --- MCC with directional-mixed families in two-way designs --- p.14 / Chapter 3.1 --- The model --- p.14 / Chapter 3.2 --- The test statistics --- p.15 / Chapter 3.3 --- Testing and estimation --- p.16 / Chapter 4 --- Evaluation and tabulation of critical values --- p.17 / Chapter 4.1 --- Evaluation of critical values --- p.17 / Chapter 4.2 --- Comparisons of computational methods --- p.19 / Chapter 4.3 --- Tabulation of critical values --- p.24 / Chapter 5 --- Power study --- p.30 / Chapter 5.1 --- Objectives --- p.30 / Chapter 5.2 --- Simulation results --- p.30 / Chapter 6 --- Numerical example --- p.33 / Chapter 7 --- Conclusions --- p.36 / Bibliography

Wang Yanhui. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 46-48). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Multiple Comparisons with a Control --- p.1 / Chapter 1.1.1 --- Multiple Comparison Procedures --- p.1 / Chapter 1.1.2 --- Multiple Comparisons with a Control --- p.2 / Chapter 1.1.3 --- Single-step and Stepwise Procedures --- p.2 / Chapter 1.2 --- The Dunnett Procedure --- p.4 / Chapter 1.2.1 --- One-way Fixed Effect Model --- p.4 / Chapter 1.2.2 --- Testing Procedure --- p.4 / Chapter 1.3 --- Directional-mixed Families --- p.7 / Chapter 1.3.1 --- Definition of Directional-mixed Families --- p.7 / Chapter 1.3.2 --- Selection between One- and Two-sided Inferences --- p.7 / Chapter 1.4 --- Objectives --- p.8 / Chapter 2 --- Single-step Procedure --- p.10 / Chapter 2.1 --- SSI Procedure --- p.10 / Chapter 2.1.1 --- The Testing Procedure --- p.10 / Chapter 2.1.2 --- Computation of Optimal Critical Values --- p.11 / Chapter 2.2 --- p-value Consistency --- p.17 / Chapter 2.3 --- The SS2 Procedure --- p.18 / Chapter 3 --- Step-down Procedure --- p.24 / Chapter 3.1 --- The Testing Procedure --- p.24 / Chapter 3.2 --- Derivation of Critical p-values for the SD Procedure --- p.26 / Chapter 4 --- Simulation Study of Power --- p.30 / Chapter 5 --- Practical Example --- p.36 / Appendix --- p.39 / References --- p.46

Chan Tat-on. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 39-40). / Abstracts in English and Chinese. / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Multiple Comparison Procedures --- p.1 / Chapter 1.2 --- One-step MCCP --- p.2 / Chapter 1.3 --- Stepwise MCCP --- p.7 / Chapter 1.4 --- Thesis Objectives --- p.10 / Chapter Chapter 2 --- One-step MCCP with Heterogeneous Group Variances --- p.11 / Chapter 2.1 --- The Model --- p.11 / Chapter 2.2 --- Test Statistics --- p.12 / Chapter 2.3 --- Testing and Estimation --- p.15 / Chapter Chapter 3 --- Stepwise MCCP with Heterogeneous Group Variances --- p.17 / Chapter 3.1 --- The Model --- p.17 / Chapter 3.2 --- Testing Procedure --- p.17 / Chapter 3.3 --- Simulation Study --- p.18 / Chapter 3.3.1 --- Average power --- p.19 / Chapter 3.3.2 --- Family wise Type I error rate --- p.20 / Chapter 3.3.3 --- Simulation procedures --- p.21 / Chapter 3.3.4 --- Choice of parameter configurations --- p.23 / Chapter 3.3.5 --- Simulation results --- p.24 / Chapter 3.3.6 --- Summary --- p.28 / Chapter Chapter 4 --- Numerical Example --- p.33 / Chapter 4.1 --- SS procedures --- p.34 / Chapter 4.2 --- SW procedures --- p.35 / Chapter Chapter 5 --- Further Research --- p.38 / References --- p.39

Thesis (Ph. D.)--Virginia Polytechnic Institute, 1955. / Vita. Abstract. Includes bibliographical references (leaves 114-119). Also available via the Internet.

Thesis (Ph. D.)--University of Hong Kong, 1993.

Cheung Ching Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 64-65). / Abstracts in English and Chinese. / Acknowledgement --- p.i / Abstract --- p.ii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Multiple Comparison Procedures --- p.1 / Chapter 1.2 --- Multiple Comparisons with a control --- p.2 / Chapter 1.3 --- Multiple Comparisons with a control in two-way designs --- p.5 / Chapter 1.4 --- Example --- p.12 / Chapter 1.5 --- Thesis Objectives --- p.13 / Chapter 2 --- Evaluation of Power (Homogeneous Variance) --- p.14 / Chapter 2.1 --- Definition and the use of power --- p.14 / Chapter 2.2 --- Setup and Notations --- p.15 / Chapter 2.3 --- Evaluation of power --- p.16 / Chapter 2.4 --- Computational Details --- p.19 / Chapter 2.4.1 --- Algorithm --- p.19 / Chapter 2.4.2 --- Results --- p.20 / Chapter 2.5 --- Numerical Example --- p.39 / Chapter 3 --- Evaluation of Power (Heterogeneous Variances) --- p.42 / Chapter 3.1 --- Setup and Notations --- p.42 / Chapter 3.2 --- Evaluation of power --- p.43 / Chapter 3.3 --- Results --- p.45 / Chapter 3.3.1 --- All-pairs Power --- p.46 / Chapter 3.3.2 --- Any-pair Power --- p.53 / Chapter 3.4 --- Numerical Example --- p.60 / Chapter 4 --- Conclusions --- p.63 / References --- p.64

by Ying-wang Wong. / Year shown on spine: 1997. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 41-44). / Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Multiple Comparison Procedures --- p.1 / Chapter 1.2 --- Familywise Error Rate --- p.3 / Chapter 1.3 --- One-step Procedures Versus Stepwise Procedures --- p.4 / Chapter 1.4 --- Pairwise Multiple Comparisons --- p.5 / Chapter 1.5 --- Pairwise Multiple Comparisons in Two-Way Designs --- p.6 / Chapter 1.6 --- Objectives --- p.8 / Chapter 2. --- Pairwise Multiple Comparisons in One-Way Designs with Covariates --- p.9 / Chapter 2.1 --- The General ANCOVA Model --- p.9 / Chapter 2.2 --- Pairwise Comparisons --- p.12 / Chapter 3. --- Pairwise Comparisons in Two-Way Layout with Covariates --- p.15 / Chapter 3.1 --- The Model --- p.15 / Chapter 3.2 --- The Test Statistics --- p.16 / Chapter 3.3 --- Computation of Upper Percentage Points --- p.17 / Chapter 3.4 --- Approximation Procedure --- p.21 / Chapter 3.5 --- Two-Way Layout with One Covariate --- p.21 / Chapter 4. --- Numerical Examples --- p.23 / Appendix A - An Algorithm in Solving Equation (3.2.4) for the value of ta --- p.35 / Appendix B - Evaluation of Multivariate Normal Probabilities --- p.38 / References --- p.41

Lau, Sin Yi. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 64-66). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Multiple Comparison Procedures --- p.1 / Chapter 1.2 --- Multiple Comparisons with a control --- p.2 / Chapter 1.3 --- Multiple Comparisons with a control in directional- mixed families --- p.5 / Chapter 1.4 --- Examples --- p.8 / Chapter 1.5 --- Thesis Objectives --- p.10 / Chapter 2 --- Evaluation of Power --- p.12 / Chapter 2.1 --- Definition and the Use of Power --- p.12 / Chapter 2.2 --- Computational Details --- p.13 / Chapter 2.3 --- All-pairs Power --- p.13 / Chapter 2.4 --- Any-pair Power --- p.15 / Chapter 2.5 --- Average Power --- p.16 / Chapter 2.6 --- Algorithm --- p.16 / Chapter 2.7 --- Results --- p.19 / Chapter 2.7.1 --- All-pairs Power --- p.20 / Chapter 2.7.2 --- Any-pair Power --- p.23 / Chapter 2.7.3 --- Average Power --- p.26 / Chapter 3 --- Sample Size Determination --- p.29 / Chapter 3.1 --- The required sample size for a pre-assigned all-pairs power --- p.31 / Chapter 3.2 --- The required sample size for a pre-assigned any-pair power --- p.41 / Chapter 3.3 --- The required sample size for a pre-assigned average power --- p.51 / Chapter 4 --- An Illustrative Example --- p.61 / Chapter 5 --- Conclusions --- p.63 / References --- p.64