General approach to coordinate representation of compositional tables

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73586037" target="_blank" >RIV/61989592:15310/18:73586037 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989592:15410/18:73586037

Výsledek na webu

<a href="http://dx.doi.org/10.1111/sjos.12326" target="_blank" >http://dx.doi.org/10.1111/sjos.12326</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1111/sjos.12326" target="_blank" >10.1111/sjos.12326</a>

Jazyk výsledku

angličtina

Název v původním jazyce

General approach to coordinate representation of compositional tables

Popis výsledku v původním jazyce

Compositional tables can be considered a continuous counterpart to the well-known contingency tables. Their cells, which generally contain positive real numbers rather than just counts, carry relative information about relationships between two factors. Hence, compositional tables can be seen as a generalization of (vector) compositional data. Due to their relative character, compositions are commonly expressed in orthonormal coordinates using a sequential binary partition prior to being further processed by standard statistical tools. Unfortunately, the resulting coordinates do not respect the two-dimensional nature of compositional tables. Information about relationship between factors is thus not well captured. The aim of this paper is to present a general system of orthonormal coordinates with respect to the Aitchison geometry, which allows for an analysis of the interactions between factors in a compositional table. This is achieved using logarithms of odds ratios, which are also widely used in the context of contingency tables.

Název v anglickém jazyce

General approach to coordinate representation of compositional tables

Popis výsledku anglicky

Compositional tables can be considered a continuous counterpart to the well-known contingency tables. Their cells, which generally contain positive real numbers rather than just counts, carry relative information about relationships between two factors. Hence, compositional tables can be seen as a generalization of (vector) compositional data. Due to their relative character, compositions are commonly expressed in orthonormal coordinates using a sequential binary partition prior to being further processed by standard statistical tools. Unfortunately, the resulting coordinates do not respect the two-dimensional nature of compositional tables. Information about relationship between factors is thus not well captured. The aim of this paper is to present a general system of orthonormal coordinates with respect to the Aitchison geometry, which allows for an analysis of the interactions between factors in a compositional table. This is achieved using logarithms of odds ratios, which are also widely used in the context of contingency tables.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Scandinavian Journal of Statistics

ISSN

0303-6898

e-ISSN

—

Svazek periodika

2018

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

21

Strana od-do

879-899

Kód UT WoS článku

000450039100003

EID výsledku v databázi Scopus

2-s2.0-85045852379