Abstract
The Gifi system of analyzing categorical data through nonlinear varieties of classical multivariate analysis techniques is reviewed. The system is characterized by the optimal scaling of categorical variables which is implemented through alternating least squares algorithms. The main technique of homogeneity analysis is presented, along with its extensions and generalizations leading to nonmetric principal components analysis and canonical correlation analysis. Several examples are used to illustrate the methods. A brief account of stability issues and areas of applications of the techniques is also given.
Keywords
Categorical variableCanonical correlationMultivariate statisticsHomogeneity (statistics)Correspondence analysisPrincipal component analysisMathematicsMultivariate analysisStability (learning theory)ScalingNonlinear systemComputer scienceStatisticsData miningMachine learning
Affiliated Institutions
Related Publications
Exploratory Projection Pursuit
Abstract A new projection pursuit algorithm for exploring multivariate data is presented that has both statistical and computational advantages over previous methods. A number o...
Multiple Regression in Behavioral Research: Explanation and Prediction
Part I: Foundations of Multiple Regression Analysis. Overview. Simple Linear Regression and Correlation. Regression Diagnostics. Computers and Computer Programs. Elements of Mul...
Exploratory Projection Pursuit
Abstract A new projection pursuit algorithm for exploring multivariate data is presented that has both statistical and computational advantages over previous methods. A number o...
Aspects of Multivariate Statistical Theory
Tables. Commonly Used Notation. 1. The Multivariate Normal and Related Distributions. 2. Jacobians, Exterior Products, Kronecker Products, and Related Topics. 3. Samples from a ...
Methods of multivariate analysis
Introduction. Matrix Algebra. Characterizing and Displaying Multivariate Data. The Multivariate Normal Distribution. Tests on One or Two Mean Vectors. Multivariate Analysis of V...
Publication Info
- Year
- 1998
- Type
- article
- Volume
- 13
- Issue
- 4
- Citations
- 257
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
257
OpenAlex
Cite This
George Michailidis,
Jan de Leeuw
(1998).
The Gifi system of descriptive multivariate analysis.
Statistical Science
, 13
(4)
.
https://doi.org/10.1214/ss/1028905828
Identifiers
- DOI
- 10.1214/ss/1028905828