# Quantification of intrinsic quality of a principal dimension in correspondence analysis and taxicab correspondence analysis

@inproceedings{Choulakian2021QuantificationOI, title={Quantification of intrinsic quality of a principal dimension in correspondence analysis and taxicab correspondence analysis}, author={Vartan Choulakian}, year={2021} }

Collins(2002, 2011) raised a number of issues with regards to correspondence analysis (CA), such as: qualitative information in a CA map versus quantitative information in the relevant contingency table; the interpretation of a CA map is difficult and its relation with the % of inertia (variance) explained. We tackle these issues by considering CA and taxicab CA (TCA) as a stepwise Hotelling/Tucker decomposition of the cross-covariance matrix of the row and column categories into four quadrants…

## 3 Citations

### Some notes on Goodman's marginal-free correspondence analysis

- Mathematics
- 2022

In his seminal paper Goodman (1996) introduced marginal-free correspondence analysis ; where his principal aim was to reconcile Pearson correlation measure with Yule’s association measure in the…

### Notes on Correspondence Analysis of Power Transformed Data Sets

- Mathematics
- 2023

We prospect for a clear simple picture on CA of power transformed or the Box-Cox transformed data initiated since 2009 by Grenacre. We distinguish two types of data sets : strictly positive and with…

### On the choice of weights in aggregate compositional data analysis

- Computer Science
- 2023

It is shown that in the aggregate case, the under-lying given data form a paired data sets composed of responses and qualitative covariates ; this fact helps to propose two approaches for analysis-visualization of data named log interaction of aggregates and aggregate of log interactions.

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