NEW CRITERIA FOR TESTS OF DIMENSIONALITY UNDER ELLIPTICAL POPULATIONS

スポンサーリンク

概要

• 論文の詳細を見る

• We consider tests of dimensionality in the multivariate analysis of variance (MANOVA). Three types of test criteria (Likelihood-Ratio-type, Lawley-Hotelling-type and Bartlett-Nanda-Pillai-type) are popular. As is well known, their null distributions depend on nuisance parameters. When a sample size is large, these criteria are distributed approximately according to chi-squared distributions. However, when the sample size is small, the effect of the nuisance parameters cannot be ignored. Under normal populations, other criteria that do not depend on nuisance parameters were proposed. These criteria are also upper limits for the null distributions of LR-type and LH-type. Under elliptical populations, modified test criteria with a better chi-squared approximation were proposed in the case of a large sample. In this paper, we generalize Schott's results under elliptical populations and obtain new test criteria that do not depend on nuisance parameters.

• 一般社団法人日本統計学会の論文

著者

• IMAI Hideyuki

  Division of Systems and Information Engineering, Graduate school of Engineering, Hokkaido University

• SATO Yoshiharu

  Division of Systems and Information Engineering, Graduate school of Engineering, Hokkaido University

• Imai Hideyuki

  Division Of Systems And Information Engineering Graduate School Of Engineering Hokkaido University

• Yoshida Kiyotaka

  Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University

• Yoshida Kiyotaka

  Division Of Systems And Information Engineering Graduate School Of Engineering Hokkaido University

• Sato Yoshiharu

  Division Of Systems And Information Engineering Graduate School Of Engineering Hokkaido University

• Sato Yoshiharu

  Division Of Information And Graphics Science Faculty Of Engineering Hokkaido University

• IMAI Hideyuki

  Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University

関連論文

• Multidimensional Global Optimization Using Interval Slopes(Numerical Analysis and Optimization)
• On Restoration of Overlapping Images
• A Unified Framework of Subspace Identification for D.O.A. Estimation(Engineering Acoustics)
• The Family of Regularized Parametric Projection Filters for Digital Image Restoration
• The Family of Parametric Projection Filters and Its Properties for Perturbation
• A POWER APPROXIMATION FOR THE MULTINOMIAL GOODNESS-OF-FIT TEST BASED ON A NORMALIZING TRANSFORMATION
• A POWER APPROXIMATION OF THE TEST OF INDEPENDENCE IN s×r CONTINGENCY TABLES BASED ON A NORMALIZING TRANSFORMATION
• THE NON-NULL DISTRIBUTION OF THE LIKELIHOOD RATIO CRITERION FOR ADDITIONAL INFORMATION HYPOTHESIS IN CANONICAL CORRELATION ANALYSIS
• LINEAR HYPOTHESIS TESTING IN A RANDOM EFFECTS GROWTH CURVE MODEL
• A GENERALIZATION OF TESTING INDEPENDENCE OF SETS OF VARIATES
• STRUCTURAL MODEL OF SIMILARITY FOR FUZZY CLUSTERING
• Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Projection Filters
• NEW CRITERIA FOR TESTS OF DIMENSIONALITY UNDER ELLIPTICAL POPULATIONS
• A KNOWLEDGE SUPPORTING SYSTEM FOR DATA ANALYSIS
• Parametric Wiener Filter with Linear Constraints for Unknown Target Signals

もっと見る 閉じる

スポンサーリンク