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230209s2015 xx o ||| 0 eng d |
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|a EBLCP
|b eng
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|d OCLCQ
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|d OCLCQ
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|a 9781119003113
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|a 1119003113
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|a (OCoLC)1347026040
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|a 519.5/35
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|2 23/eng/20230216
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|a UAMI
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|a Pawlowsky-Glahn, Vera.
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|a Modeling and Analysis of Compositional Data
|h [electronic resource].
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2015.
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| 300 |
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|a 1 online resource (275 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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|a Cover -- Title Page -- Copyright -- Contents -- Preface -- About the Authors -- Acknowledgments -- Chapter 1 Introduction -- Chapter 2 Compositional Data and Their Sample Space -- 2.1 Basic concepts -- 2.2 Principles of compositional analysis -- 2.2.1 Scale invariance -- 2.2.2 Permutation invariance -- 2.2.3 Subcompositional coherence -- 2.3 Zeros, missing values, and other irregular components -- 2.3.1 Kinds of irregular components -- 2.3.2 Strategies to analyze irregular data -- 2.4 Exercises -- Chapter 3 The Aitchison Geometry -- 3.1 General comments -- 3.2 Vector space structure
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|a 3.3 Inner product, norm and distance -- 3.4 Geometric figures -- 3.5 Exercises -- Chapter 4 Coordinate Representation -- 4.1 Introduction -- 4.2 Compositional observations in real space -- 4.3 Generating systems -- 4.4 Orthonormal coordinates -- 4.5 Balances -- 4.6 Working on coordinates -- 4.7 Additive logratio coordinates (alr) -- 4.8 Orthogonal projections -- 4.9 Matrix operations in the simplex -- 4.9.1 Perturbation-linear combination of compositions -- 4.9.2 Linear transformations of SD: endomorphisms -- 4.9.3 Other matrix transformations on SD: nonlinear transformations
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|a 4.10 Coordinates leading to alternative Euclidean structures -- 4.11 Exercises -- Chapter 5 Exploratory Data Analysis -- 5.1 General remarks -- 5.2 Sample center, total variance, and variation matrix -- 5.3 Centering and scaling -- 5.4 The biplot: a graphical display -- 5.4.1 Construction of a biplot -- 5.4.2 Interpretation of a 2D compositional biplot -- 5.5 Exploratory analysis of coordinates -- 5.6 A geological example -- 5.7 Linear trends along principal components -- 5.8 A nutrition example -- 5.9 A political example -- 5.10 Exercises -- Chapter 6 Random Compositions -- 6.1 Sample space
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|a 6.1.1 Conventional approach to the sample space of compositions -- 6.1.2 A compositional approach to the sample space of compositions -- 6.1.3 Definitions related to random compositions -- 6.2 Variability and center -- 6.3 Probability distributions on the simplex -- 6.3.1 The normal distribution on the simplex -- 6.3.2 The Dirichlet distribution -- 6.3.3 Other distributions -- 6.4 Exercises -- Chapter 7 Statistical Inference -- 7.1 Point estimation of center and variability -- 7.2 Testing hypotheses on compositional normality -- 7.3 Testing hypotheses about two populations
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|a 7.4 Probability and confidence regions for normal data -- 7.5 Bayesian estimation with count data -- 7.6 Exercises -- Chapter 8 Linear Models -- 8.1 Linear regression with compositional response -- 8.2 Regression with compositional covariates -- 8.3 Analysis of variance with compositional response -- 8.4 Linear discrimination with compositional predictor -- 8.5 Exercises -- Chapter 9 Compositional Processes -- 9.1 Linear processes -- 9.2 Mixture processes -- 9.3 Settling processes -- 9.4 Simplicial derivative -- 9.5 Elementary differential equations -- 9.5.1 Constant derivative
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| 500 |
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|a 9.5.2 Forced derivative
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
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|i has work:
|a Modeling and analysis of compositional data (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCH38yqgjtf6rmvRTFWdCwC
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|i Print version:
|a Pawlowsky-Glahn, Vera
|t Modeling and Analysis of Compositional Data
|d Newark : John Wiley & Sons, Incorporated,c2015
|z 9781118443064
|
| 830 |
|
0 |
|a New York Academy of Sciences Ser.
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|z Texto completo
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