عنوان

Modelling and analysis of compositional data /

(Number (ISBN

1118443063

(Number (ISBN

1119003113

(Number (ISBN

111900313X

(Number (ISBN

1119003148

(Number (ISBN

9781118443064

(Number (ISBN

9781119003113

(Number (ISBN

9781119003137

(Number (ISBN

9781119003144

Erroneous ISBN

9781118443064

Number

dltt

Title Proper

Modelling and analysis of compositional data /

General Material Designation

[Book]

First Statement of Responsibility

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

Specific Material Designation and Extent of Item

1 online resource

Series Title

Statistics in practice

Text of Note

Includes bibliographical references and indexes

Text of Note

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

Source for Acquisition/Subscription Address

Safari Books Online

Stock Number

CL0500000592

Title

Modelling and analysis of compositional data.

International Standard Book Number

9781118443064

Geometric analysis.

Mathematical statistics.

Multivariate analysis.

MAT-- 003000

MAT-- 029000

Number

Edition

Class number

Pawlowsky-Glahn, Vera.

Egozcue, Juan J.,1950-

Tolosana-Delgado, Raimon.

Ohio Library and Information Network.

Date of Transaction

20160603085334.2

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y