2002. VIII, 126 pp. 14 figs., 31 tabs. Hardcover
4-431-70310-1
Recent 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.
Contents: Multiplicity Problems in the Clinical Trial and Some
Statistical Approaches.- A Probability Analysis of the Playoff
System in Sumo Tournaments.- Quantification of Ordinal Variables:
A Critical Inquiry into Polychoric and Canonical Correlation.-
MTV and MGV: Two Criteria for Nonlinear PCA.- Setting the Number
of Clusters in K-Means Clustering.
Series : Statistics: Textbooks and Monographs series,Volume:
166
Textbook | Print Published: 06/01/2002
Hard Cover | 280 pages | Illustrated
Print ISBN: 0-8247-0718-4
Description
This text/reference examines classic algorithms, geometric
diagrams, and mechanical principles for enhanced visualization of
statistical estimation procedures and mathematical concepts in
physics, engineering, and computer programming?stressing the role
of geometric and mechanical representations in the design and
generation of numeric models for applications in physical science.
Visualizing Statistical Models and Concepts
●presents methods to determine the position of a multivariate
location parameter
●offers techniques to fit a plane or curved surface to
multivariate data
●considers geomechanical dynamics for linear and nonlinear
programming
●discusses mathematical approaches to estimate and predict
potential energy, force, and strain of system components
●analyzes data sets generated by transitive and nontransitive
pairwise preference orderings
Providing the tools necessary for geometric interpretation and
investigation, Visualizing Statistical Models and Concepts is a
clear and concise reference for applied and theoretical
statisticians; probabilists; physicists; theoretical and cell
biologists; electrical, mechanical, aerospace, computer, and
civil engineers; multivariate analysts; biomathematicians;
economists; psychologists; and sociologists; and an illuminating
text for upper-level undergraduate and graduate-level students in
these disciplines.
Table of Contents
Introduction
Abstract Geometrical and Mechanical Representations
Mechanical Models for Multidimensional Medians
Method of Least Squared Deviations
Method of Least Absolute Deviations
Minimax Absolute Deviation Method
Method of Least Median of Squared Deviations
Mechanical Models for Metric Graphs
Categorical Data Analysis
Method of Averages and Curve Fitting by Splines
Multivariate Generalizations of the Method of Least Squares
List of Figures
List of Tables
Name Index
Subject Index