## Recent Advances in Statistical Research and Data AnalysisRecent Advances in Statistical Research and Data Analysis is a collection of papers presented at the symposium of the same name, held in Tokyo by the Center for Information on Statistical Science of the Institute of Statistical Mathematics (ISM). Under the auspices of the Ministry of Education, Culture, Sports, Science and Technology of Japan, the ISM has created visiting professorships and organized symposia to promote collaboration between researchers from Japan and those from other countries. At the symposium on recent advances in statistical research and data analysis, the keynote speaker was Visiting Professor Anthony J. Hayter. This book includes Prof. Hayter's address as well as papers from special lectures that were presented at the symposium. All the contributions are concerned with theory and methodology for real data and thus will benefit researchers, students, and others engaged in data analysis. |

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### Contents

A Probability Analysis of the Playoff System in Sumo Tourna | 27 |

A Critical Inquiry into Poly | 49 |

Two Criteria for Nonlinear PCA | 85 |

Copyright | |

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### Other editions - View all

Recent Advances in Statistical Research and Data Analysis Y. Baba,A.J. Hayter,K. Kanefuji,S. Kuriki Limited preview - 2012 |

Recent Advances in Statistical Research and Data Analysis Y. Baba,A.J. Hayter,K. Kanefuji,S. Kuriki No preview available - 2012 |

Recent Advances in Statistical Research and Data Analysis Y. Baba,A. J. Hayter,K. Kanefuji No preview available - 2002 |

### Common terms and phrases

AFQT axis bivariate normal distribution calculated categorical variables category weights chi-squared coefficient columns completes the proof consecutive wins contingency table correlation matrix covariance matrix Crab data criterion data analysis defined definite or semi-definite determine the tournament dual scaling dwjk estimated Euclidean distances Euclidean space example fights required given in Theorem global quantification Hadamard product Hirotsu inequality K-means clustering Kendall-Stuart canonical correlation latent linear Mahalanobis distances maximal MaxMin algorithm method multidimensional scaling multiple comparisons multivariate normal distribution negative eigenvalues Nishisato nonlinear number of categories number of clusters number of fights obtained OSMOD Otsu PabPac pair-wise quantification PCAOS plot of maximum polychoric correlation polynomials positive definite positive semi-definite problem procedure Proof of Theorem Psychometrika regression rikishi SAS Institute Section sequence plot singular values Statistical structural equation modeling thresholds tournament winner tournament winning probabilities univariate variance waiting line winning the tournament