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Influential observations in the analysis of additive ipsative data.

Wong Wai-Wan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 45-46). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Ipsative Data --- p.1 / Chapter 1.2 --- Transformation --- p.2 / Chapter 1.3 --- Influence Analysis --- p.3 / Chapter 2 --- Ipsative Data --- p.5 / Chapter 2.1 --- Additive Ipsative Data (AID) and Multiplicative Ipsative Data (MID) --- p.6 / Chapter 2.1.1 --- Additive Ipsative Data (AID) --- p.6 / Chapter 2.1.2 --- Multiplicative Ipsative Data (MID) --- p.7 / Chapter 2.2 --- Partially Additive Ipsative Data (PAID) --- p.7 / Chapter 2.2.1 --- Vector of PAID --- p.8 / Chapter 2.2.2 --- Special Cases of PAID --- p.9 / Chapter 3 --- Transformation --- p.10 / Chapter 3.1 --- Distribution of AID --- p.10 / Chapter 3.2 --- Transformation --- p.11 / Chapter 3.3 --- Relationship between Parameters of AID and the Transformed Vector --- p.13 / Chapter 4 --- Influence Analysis of Ipsative Data --- p.14 / Chapter 4.1 --- The Postulated Model --- p.15 / Chapter 4.2 --- Perturbation --- p.16 / Chapter 4.3 --- Likelihood Displacement --- p.17 / Chapter 4.4 --- Normal Curvature --- p.18 / Chapter 4.5 --- Computation of the Normal Curvature --- p.20 / Chapter 4.6 --- Diagnostic Measures --- p.21 / Chapter 4.6.1 --- Observations influencing the estimates of μ and Σ --- p.22 / Chapter 4.6.2 --- Observations influencing the estimate of μ or Σ --- p.22 / Chapter 4.7 --- Examples --- p.24 / Chapter 4.7.1 --- Example 1: Foraminiferal Compositions Data Set (AID) . --- p.24 / Chapter 4.7.2 --- Example 2: Compositions of Sediments Data Set (PAID) . --- p.25 / Chapter 5 --- Discussion --- p.31 / Chapter A --- Proof of Propositions --- p.34 / Chapter A.1 --- Proof of Proposition 3 --- p.34 / Chapter A.2 --- Proof of Proposition 4 --- p.35 / Chapter B --- "Analytical Expressions of (Lθ*)-1, Δ* and Lc" --- p.37 / Chapter B.1 --- Analytical Expression of (Lθ*)-1 --- p.37 / Chapter B.2 --- Analytical Expression of Δ* --- p.38 / Chapter B.3 --- Analytical Expression of Lc --- p.38 / Chapter C --- Calculation of aθ- --- p.39 / Chapter D --- Matlab Commands of Example 1 --- p.42 / Bibliography --- p.44

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324312
Date January 2003
ContributorsWong, Wai-Wan., Chinese University of Hong Kong Graduate School. Division of Statistics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, v, 46 leaves : ill. ; 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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