عنوان

Modelling and analysis of compositional data /

1118443063

1119003113

111900313X

1119003148

9781118443064

9781119003113

9781119003137

9781119003144

9781118443064

dltt

Modelling and analysis of compositional data /

[Book]

Vera Pawlowsky-Glahn, Juan J. Egozcue, Raimon Tolosana-Delgado

1 online resource

Statistics in practice

Includes bibliographical references and indexes

Introduction -- Compositional Data and Their Sample Space -- Basic concepts -- Principles of compositional analysis -- Scale invariance -- Permutation invariance -- Subcompositional coherence -- Zeros, missing values, and other irregular components -- Kinds of irregular components -- Strategies to analyze irregular data -- Exercises -- The Aitchison Geometry -- General comments -- Vector space structure -- Inner product, norm and distance -- Geometric figures -- Exercises -- Coordinate Representation -- Introduction -- Compositional observations in real space -- Generating systems -- Orthonormal coordinates -- Balances -- Working on coordinates -- Additive logratio coordinates (alr) -- Orthogonal projections -- Matrix operations in the simplex -- Perturbation-linear combination of compositions -- Linear transformations of S^D: endomorphisms -- Other matrix transformations on S^D: nonlinear transformations -- Coordinates leading to alternative Euclidean structures -- Exercises -- Exploratory Data Analysis -- General remarks -- Sample center, total variance, and variation matrix -- Centering and scaling -- The biplot: a graphical display -- Construction of a biplot -- Interpretation of a 2D compositional biplot -- Exploratory analysis of coordinates -- A geological example -- Linear trends along principal components -- A nutrition example -- A political example -- Exercises -- Random Compositions -- Sample space -- Conventional approach to the sample space of compositions -- A compositional approach to the sample space of compositions -- Definitions related to random compositions -- Variability and center -- Probability distributions on the simplex -- The normal distribution on the simplex -- The Dirichlet distribution -- Other distributions -- Exercises -- Statistical Inference -- Point estimation of center and variability -- Testing hypotheses on compositional normality -- Testing hypotheses about two populations -- Probability and confidence regions for normal data -- Bayesian estimation with count data -- Exercises -- Linear Models -- Linear regression with compositional response -- Regression with compositional covariates -- Analysis of variance with compositional response -- Linear discrimination with compositional predictor -- Exercises -- Compositional Processes -- Linear processes -- Mixture processes -- Settling processes -- Simplicial derivative -- Elementary differential equations -- Constant derivative -- Forced derivative -- Complete first-order linear equation -- Harmonic oscillator -- Exercises -- Epilogue

0

Safari Books Online

CL0500000592

Modelling and analysis of compositional data.

9781118443064

Geometric analysis.

Mathematical statistics.

Multivariate analysis.

MAT-- 003000

MAT-- 029000

Pawlowsky-Glahn, Vera.

Egozcue, Juan J.,1950-

Tolosana-Delgado, Raimon.

Ohio Library and Information Network.

20160603085334.2

pn

[Book]

Y