Multidimensional nonlinear descriptive analysis. (©2007)

• Record Type: Book
• Further Information: Note: Shizuhiko Nishisato.
• Other Names: Nishisato, Shizuhiko, 1935-
• Contents: MOTIVATION ; Why Multidimensional Analysis?; Why Nonlinear Analysis?; Why Descriptive Analysis?; QUANTIFICATION WITH DIFFERENT PERSPECTIVES ; Is Likert-Type Scoring Appropriate?; Method of Reciprocal Averages (MRA); One-Way Analysis of Variance Approach; Bivariate Correlation Approach; Geometric Approach; Other Approaches; Multidimensional Decomposition; HISTORICAL OVERVIEW ; Mathematical Foundations in Early Days; Pioneers of MUNDA in the 20th Century; Rediscovery and Further Developments; Additional Notes; CONCEPTUAL PRELIMINARIES ; Stevens’ Four Levels of Measurement; Classification of Categorical Data; Euclidean Space; Multidimensional Space; TECHNICAL PRELIMINARIES ; Linear Combination and Principal Space; Eigenvalue and Singular Value Decompositions; Finding the Largest Eigenvalue; Dual Relations and Rectangular Coordinates ; Discrepancy between Row Space and Column Space; Information of Different Data Types; CONTINGENCY TABLES ; Example; Early Work; Some Basics; Is My Pet a Flagrant Biter?; Supplementary Notes; MULTIPLE-CHOICE DATA ; Example; Early Work; Some Basics; Future Use of English by Students in Hong Kong; Blood Pressures, Migraines and Age Revisited; Further Discussion; SORTING DATA ; Example; Early Work; Sorting Familiar Animals into Clusters; Some Notes; FORCED CLASSIFICATION OF INCIDENCE DATA ; Early Work; Some Basics; Age Effects on Blood Pressures and Migraines; Ideal Sorter of Animals; Generalized Forced Classification; PAIRED COMPARISON DATA ; Example; Early Work; Some Basics; Travel Destinations; Criminal Acts; RANK ORDER DATA ; Example; Early Work; Some Basics; Total Information and Number of Components; Distribution of Information; Sales Points of Hot Springs; SUCCESSIVE CATEGORIES DATA ; Example; Some Basics; Seriousness of Criminal Acts; Multidimensionality; FURTHER TOPICS OF INTEREST ; Forced Classification of Dominance Data; Order Constraints on Ordered Categories; Stability, Robustness and Missing Responses; Multiway Data; Contingency Tables and Multiple-Choice Data; Permutations of Categories and Scaling; FURTHER PERSPECTIVES ; Geometry of Multiple-Choice Items; A Concept of Correlation; A Statistic Related to Singular Values; Correlation for Categorical Variables; Properties of Squared Item-Total Correlation; Decomposition of Nonlinear Correlation; Interpreting Data in Reduced Dimension; Towards an Absolute Measure of Information; Final Word; References; AUTHOR INDEX ; SUBJECT INDEX
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2007
• Copyright Date: 2007
• Extent: 1 online resource (xiii, 312 pages), illustrations
• Subjects: 519.5/35; Multivariate analysis; Correlation (Statistics); Categories (Mathematics); Multidimensional scaling; Correspondence analysis (Statistics); MATHEMATICS -- Probability & Statistics -- Multivariate Analysis; Categories (Mathematics); Correlation (Statistics); Correspondence analysis (Statistics); Multidimensional scaling; Multivariate analysis; Electronic books
• Languages: English
• ISBNs: 1584886129; 9781584886129; 9781420011203; 1420011200
• Notes: Note: Includes bibliographical references (pages 277-302) and indexes.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.