On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys

DOI10.1016/0024-3795(85)90053-9zbMath0587.62023OpenAlexW2105558195MaRDI QIDQ1072277

Alastair J. Scott, George P. H. Styan

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90053-9

zbMATH Keywords

boundsgeneralized eigenvalueslog-linear modelsPoincaré separation theoremasymptotic percentage pointschi-squared tests of fitcomplex sample surveysmultiway tables of categorical dataseparation inequalities

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Sampling theory, sample surveys (62D05) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

On ordinary least-squares methods for sample surveys ⋮ Matrix Euclidean norm Wielandt inequalities and their applications to statistics ⋮ The BLUE's covariance matrix revisited: A review ⋮ A philatelic excursion with Jeff Hunter in probability and matrix theory ⋮ Generalized correlations in the singular case ⋮ Analysis of domain means in complex surveys ⋮ On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys
• On chi-squared tests for multiway contingency tables with cell proportions estimated from survey data
• Some results on proper eigenvalues and eigenvectors with applications to scaling
• Separation theorems for singular values of matrices and their applications in multivariate analysis
• Adjusted chi-squared tests for cross-classified tables of survey data
• Approximate Tests of Independence and Goodness of Fit Based on Stratified Multistage Samples
• Chi-Squared Tests with Survey Data
• The Analysis of Categorical Data From Complex Sample Surveys: Chi-Squared Tests for Goodness of Fit and Independence in Two-Way Tables
• Categorical Data Analysis: Some Reflections on the Log Linear Model and Logistic Regression. Part I: Historical and Methodological Overview
• Strategies in the Multivariate Analysis of Data from Complex Surveys
• Discrete variable analysis for individuals grouped into families
• Distribution of a Sum of Weighted Chi-Square Variables
• Categorical Data Analysis: Some Reflections on the Log Linear Model and Logistic Regression. Part II: Data Analysis
• Linear Statistical Inference and its Applications
• TESTING FOR SERIAL CORRELATION IN LEAST SQUARES REGRESSION. II

This page was built for publication: On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys