PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
January 1, 1986Journal of Business and Economic Statistics9,262 citations

An Introduction to Multivariate Statistical Analysis

View Full Paper
RMRobb J. MuirheadTAT. W. Anderson

Key Points

  • The aim is to explore various multivariate statistical methods and their applications in data analysis.
  • Overview of multivariate normal distribution and its properties.
  • Estimation techniques for mean vectors and covariance matrices.
  • Introduction to principal component analysis and factor analysis.
  • Discussion on the utility of sample correlation coefficients in estimating relationships.
  • Analysis of linear hypotheses through multivariate analysis of variance.
  • Application of principal components and canonical correlations in data classification.

Abstract

Preface to the Third Edition.Preface to the Second Edition.Preface to the First Edition.1. Introduction.2. The Multivariate Normal Distribution.3. Estimation of the Mean Vector and the Covariance Matrix.4. The Distributions and Uses of Sample Correlation Coefficients.5. The Generalized T2-Statistic.6. Classification of Observations.7. The Distribution of the Sample Covariance Matrix and the Sample Generalized Variance.8. Testing the General Linear Hypothesis: Multivariate Analysis of Variance9. Testing Independence of Sets of Variates.10. Testing Hypotheses of Equality of Covariance Matrices and Equality of Mean Vectors and Covariance Matrices.11. Principal Components.12. Cononical Correlations and Cononical Variables.13. The Distributions of Characteristic Roots and Vectors.14. Factor Analysis.15. Pattern of Dependence Graphical Models.Appendix A: Matrix Theory.Appendix B: Tables.References.Index.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Muirhead et al. (1986) studied this question.

synapsesocial.com/papers/6a06f82be0d1b213ed841d3fhttps://doi.org/10.2307/1391399
Ask AI
Helpful
Bookmark
Share
View Full Paper