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Measurement, Mathematics and New Quantification Theory / / by Shizuhiko Nishisato
| Measurement, Mathematics and New Quantification Theory / / by Shizuhiko Nishisato |
| Autore | Nishisato Shizuhiko |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (214 pages) |
| Disciplina | 511.3 |
| Collana | Behaviormetrics: Quantitative Approaches to Human Behavior |
| Soggetto topico |
Statistics
Mathematical statistics - Data processing Psychometrics Applied Statistics Statistical Theory and Methods Statistics and Computing Càlcul de predicats Lògica matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789819922956
981992295X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Information for Analysis -- Data Analysis and Likert Scale -- Preliminaries -- Matrix Calculus -- Statistics in Matrix Notation -- Multidimensional Space. |
| Record Nr. | UNINA-9910731487303321 |
Nishisato Shizuhiko
|
||
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Modern Quantification Theory : Joint Graphical Display, Biplots, and Alternatives
| Modern Quantification Theory : Joint Graphical Display, Biplots, and Alternatives |
| Autore | Nishisato Shizuhiko |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore Pte. Limited, , 2021 |
| Descrizione fisica | 1 online resource (242 pages) |
| Altri autori (Persone) |
BehEric J
LombardoRosaria ClavelJose G |
| Collana | Behaviormetrics: Quantitative Approaches to Human Behavior |
| Soggetto topico | Càlcul |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-2470-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Acknowledgements -- Contents -- Part I Joint Graphical Display -- 1 Personal Reflections -- 1.1 Early Days -- 1.2 Internationalization -- 1.3 Books in French, Japanese and English -- 1.4 Names for Quantification Theory -- 1.5 Two Books with Different Orientations -- 1.6 Joint Graphical Display -- 1.7 A Promise to J. Douglas Carroll -- 1.8 From Dismay to Encouragement -- References -- 2 Mathematical Preliminaries -- 2.1 Graphs with Orthogonal Coordinates -- 2.1.1 Linear Combination of Variables -- 2.1.2 Principal Axes -- 2.2 Correlation and Orthogonal Axes -- 2.3 Standardized Versus Non-standardized PCA -- 2.4 Principal Versus Standard Coordinates -- References -- 3 Bi-modal Quantification and Graphs -- 3.1 Likert Scale -- 3.1.1 Its Ubiquitous Misuse -- 3.1.2 Validity Check -- 3.2 Quantification Theory -- 3.2.1 Quantification by Reciprocal Averaging -- 3.2.2 Simultaneous Linear Regressions -- 3.3 Bi-linear Decomposition -- 3.3.1 Key Statistic: Singular Values -- 3.4 Bi-modal Quantification and Space -- 3.5 Step-by-Step Numerical Illustrations -- 3.5.1 Basic Quantification Analysis -- 3.6 Our Focal Points -- 3.6.1 What Does Total Information Mean? -- 3.6.2 What is Joint Graphical Display -- 3.7 Currently Popular Methods for Graphical Display -- 3.7.1 French Plot or Symmetric Scaling -- 3.7.2 Non-symmetric Scaling (Asymmetric Scaling) -- 3.7.3 Comparisons -- 3.7.4 Rational 2-D Symmetric Plot -- 3.7.5 CGS Scaling -- 3.8 Joint Graphs and Contingency Tables -- 3.8.1 A Theorem on Distance and Dimensionality -- References -- 4 Data Formats and Geometry -- 4.1 Contingency Table in Different Formats -- 4.2 Algebraic Differences of Distinct Formats -- 4.3 CGS Scaling: Incomplete Theory -- 4.4 More Information on Structure of Data -- References -- 5 Coordinates for Joint Graphs -- 5.1 Coordinates for Rows and Columns.
5.2 One-Component Case -- 5.3 Theory of Space Partitions -- 5.4 Two-Component Case -- 5.5 Three-Component Case -- 5.6 Wisdom of French Plot -- 5.7 General Case -- 5.8 Further Considerations -- 5.8.1 Graphical Approach and Further Problems -- 5.8.2 Within-Set Distance in Dual Space -- References -- 6 Clustering as an Alternative -- 6.1 Decomposition of Input Data -- 6.1.1 Rorschach Data -- 6.1.2 Barley Data -- 6.2 Partitions of Super-Distance Matrix -- 6.3 Outlines of Cluster Analysis -- 6.3.1 Universal Transform for Clustering (UTC) -- 6.4 Clustering of Super-Distance Matrix -- 6.4.1 Hierarchical Cluster Analysis: Rorschach Data -- 6.4.2 Hierarchical Cluster Analysis: Barley Data -- 6.4.3 Partitioning Cluster Analysis: Rorschach Data -- 6.4.4 Partitioning Cluster Analysis: Barley Data -- 6.5 Cluster Analysis of Between-Set Relations -- 6.5.1 Hierarchical Cluster Analysis of Rorschach Data (UTC) -- 6.5.2 Hierarchical Cluster Analysis of Barley Data (UTC) -- 6.5.3 Partitioning Cluster Analysis: Rorschach Data and Barley Data (UTC) -- 6.5.4 Effects of Constant Q for UTC on Cluster Formation -- 6.6 Overlapping Versus Non-overlapping Clusters -- 6.7 Discussion and Conclusion -- 6.8 Final Comments on Part 1 -- References -- Part II Scoring Strategies and the Graphical Display -- 7 Scoring and Profiles -- 7.1 Introduction -- 7.2 Profiles -- 7.3 The Method Reciprocal Averaging -- 7.3.1 An Overview -- 7.3.2 Profiles -- 7.3.3 The Iterative Approach -- 7.3.4 The Role of Eigendecomposition -- 7.3.5 The Role of Singular Value Decomposition -- 7.3.6 Models of Correlation and Association -- 7.4 Canonical Correlation Analysis -- 7.4.1 An Overview -- 7.4.2 The Method -- 7.5 Example -- 7.5.1 One-Dimensional Solution via Reciprocal Averaging -- 7.5.2 K-Dimensional Solution via SVD -- 7.5.3 On Reconstituting the Cell Frequencies -- 7.6 Final Remarks -- References. 8 Some Generalizations of Reciprocal Averaging -- 8.1 Introduction -- 8.2 Method of Reciprocal Medians (MRM) -- 8.3 Reciprocal Geometric Averaging (RGA) -- 8.3.1 RGA of the First Kind (RGA1) -- 8.3.2 RGA of the Second Kind (RGA2) -- 8.3.3 RGA of the Third Kind (RGA3) -- 8.4 Reciprocal Harmonic Averaging (RHA) -- 8.5 Final Remarks -- References -- 9 History of the Biplot -- 9.1 Introduction -- 9.2 Biplot Construction -- 9.3 Biplot for Principal Component Analysis -- 9.4 Final Remarks -- References -- 10 Biplots for Variants of Correspondence Analysis -- 10.1 Introduction -- 10.2 Biplots for Simple Correspondence Analysis-The Symmetric Case -- 10.3 Biplots for Simple Correspondence Analysis-The Asymmetric Case -- 10.4 Ordered Simple Correspondence Analysis -- 10.4.1 An Overview -- 10.4.2 Biplots for Ordered Simple Correspondence Analysis -- 10.4.3 The Biplot and a Re-Examination of Table3.1摥映數爠eflinktab3.13.13 -- 10.5 The Biplot for Multi-Way Correspondence Analysis -- 10.5.1 An Overview -- 10.5.2 TUCKER3 Decomposition -- 10.6 The Interactive Biplot -- 10.6.1 The Biplot and Three-Way Correspondence Analysis -- 10.6.2 Size and Nature of the Dependence -- 10.6.3 The Interactive Biplot -- 10.7 Final Remarks -- References -- 11 On the Analysis of Over-Dispersed Categorical Data -- 11.1 Introduction -- 11.2 Generalized Pearson Residual -- 11.3 Special Cases -- 11.3.1 Generalized Poisson Distribution -- 11.3.2 Negative Binomial Distribution -- 11.3.3 Conway-Maxwell Poisson Distribution -- 11.4 Over-Dispersion, the Biplot and a Re-Examination of Table3.5摥映數爠eflinktab3.53.53 -- 11.5 Stabilizing the Variance -- 11.5.1 The Adjusted Standardized Residual -- 11.5.2 The Freeman-Tukey Residual -- 11.6 Final Remarks -- References. |
| Record Nr. | UNISA-996466404403316 |
|
Nishisato Shizuhiko
|
||
| Singapore : , : Springer Singapore Pte. Limited, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Modern Quantification Theory : Joint Graphical Display, Biplots, and Alternatives / / by Shizuhiko Nishisato, Eric J. Beh, Rosaria Lombardo, Jose G. Clavel
| Modern Quantification Theory : Joint Graphical Display, Biplots, and Alternatives / / by Shizuhiko Nishisato, Eric J. Beh, Rosaria Lombardo, Jose G. Clavel |
| Autore | Nishisato Shizuhiko |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 |
| Descrizione fisica | 1 online resource (242 pages) |
| Disciplina | 300.727 |
| Altri autori (Persone) |
BehEric J
LombardoRosaria ClavelJose G |
| Collana | Behaviormetrics: Quantitative Approaches to Human Behavior |
| Soggetto topico |
Social sciences - Statistical methods
Statistics Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy Statistical Theory and Methods Statistics in Business, Management, Economics, Finance, Insurance Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences |
| ISBN | 981-16-2470-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Personal Reflections -- Mathematical Preliminaries -- Mathematical Preliminaries -- Data Formats and Geometry -- Coordinates for Joint Graphs -- Clustering as an Alternative -- Scoring and Profiles -- Some Generalizations of Reciprocal Averaging -- History of the Biplot -- Biplots for Variants of Correspondence Analysis. |
| Record Nr. | UNINA-9910735395803321 |
|
Nishisato Shizuhiko
|
||
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal Quantification and Symmetry
| Optimal Quantification and Symmetry |
| Autore | Nishisato Shizuhiko |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore Pte. Limited, , 2022 |
| Descrizione fisica | 1 online resource (199 pages) |
| Disciplina | 511.3 |
| Collana | Behaviormetrics: Quantitative Approaches to Human Behavior Ser. |
| Soggetto topico | Simetria (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789811691706
9789811691690 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466416703316 |
|
Nishisato Shizuhiko
|
||
| Singapore : , : Springer Singapore Pte. Limited, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Optimal Quantification and Symmetry
| Optimal Quantification and Symmetry |
| Autore | Nishisato Shizuhiko |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore Pte. Limited, , 2022 |
| Descrizione fisica | 1 online resource (199 pages) |
| Disciplina | 511.3 |
| Collana | Behaviormetrics: Quantitative Approaches to Human Behavior |
| Soggetto topico | Simetria (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
981-16-9170-3
981-16-9169-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996549469303316 |
|
Nishisato Shizuhiko
|
||
| Singapore : , : Springer Singapore Pte. Limited, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Optimal Quantification and Symmetry / / by Shizuhiko Nishisato
| Optimal Quantification and Symmetry / / by Shizuhiko Nishisato |
| Autore | Nishisato Shizuhiko |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (199 pages) |
| Disciplina | 511.3 |
| Collana | Behaviormetrics: Quantitative Approaches to Human Behavior |
| Soggetto topico |
Statistics
Quantitative research Applied Statistics Statistical Theory and Methods Data Analysis and Big Data |
| ISBN |
981-16-9170-3
981-16-9169-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Optimality and Symmetry -- Examples of Quantification -- Constraints on Quantification -- Quantification Procedures -- Mathematical Symmetry -- Data Format and Information -- Space Theory and Symmetry. |
| Record Nr. | UNINA-9910743349703321 |
|
Nishisato Shizuhiko
|
||
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||