Correspondence Analysis From the Viewpoint of Compositional Tables
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633511" target="_blank" >RIV/61989592:15310/25:73633511 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/epdf/10.1002/sam.70023" target="_blank" >https://onlinelibrary.wiley.com/doi/epdf/10.1002/sam.70023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/sam.70023" target="_blank" >10.1002/sam.70023</a>
Alternative languages
Result language
angličtina
Original language name
Correspondence Analysis From the Viewpoint of Compositional Tables
Original language description
Correspondence analysis (CA), a well-known method for analyzing the relationships between rows and columns of a table, has been reformulated to link to the logratio methodology of compositional data by using the limiting case of the power transformation. The resulting methodology investigates relative rather than absolute information, and it is invariant with respect to rescaling rows or columns. The latter properties also hold for the analysis of compositional tables, where the table is first decomposed into an independent and an interaction part. It is shown that the analysis of the interaction part is equivalent to CA, but in addition, the variance contributions can be determined. Both concepts also allow for an inclusion of weights to suppress undesirable variance, and it is shown that the equivalence between weighted CA and the analysis of weighted compositional tables again holds. This equivalence allows us to make use of the mathematical framework of weighted compositional tables, the so-called Bayes spaces, to get a deeper understanding of CA and to construct extensions to multi-factorial tables (cubes, etc.).
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Statistical Analysis and Data Mining
ISSN
1932-1864
e-ISSN
—
Volume of the periodical
18
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"e70023-1"-"e70023-11"
UT code for WoS article
001586999600002
EID of the result in the Scopus database
2-s2.0-105019798491