Applied Multiway Data Analysis (eBook)

Pieter M. Kroonenberg, PhD, is Professor of Multivariate Analysis in the Department of Education and Child Studies at Leiden University in the Netherlands. He has over thirty years of academic and consulting experience and has published over fifty articles on the subject of three-mode data analysis.

Foreword

Preface

Part 1 Data, Models, and Algorithms

1. Overture

2. Overview

3. Three-way and multiway data

4. Component models for fully-crossed designs

5. Algorithms for multiway models

Part II Data Handling, Model Selection, and Interpertation

6. Preprocessin

7. Missing data in multiway analysis

8. Model and dimensionality selection

9. Interpreting component models

10. Improving interpretation through rotations

11. Graphical displays for components

12. Residuals, outliers, and robustness

Part III Multiway Data and Their Analysis

13. Modeling multiway profile data

14. Modeling multiway rating scale data

15. Exploratory multivariate longitudinal analysis

16. Three-mode clustering

17. Multiway contingency tables

18. Three-way binary data

19. From three-way to four-way data and beyond

Appendix A: Standard notation for mulitway analysis

Appendix B: Biplots and their interpretation

References

Glossary

Acronyms

Author Index

Subject Index

"All topics are well illustrated with good examples from a fairly
wide range of applications... the book's usefulness is
enhanced by a glossary of multiway terminology, a good index and
references to extension work... this is a well-crafted and highly
readable book." (Journal of the Royal Statistical Society-
Series A, 2009)

"All in all, Kroonenberg's book constitutes an
extremely valuable tool for applied researchers in almost all
domains of investigation, whenever they are faced with the task of
analyzing complex statistical data in view of obtaining useful
information in their areas of interest." (Biometrics,
June 2009)

"This book is focused primarily toward graduate students
in the areas of chemistry, social and behavioral sciences, and
environmental sciences, although the techniques and methods used
can be more broadly used in other areas, such as finance and
engineering, as well." (Technometrics, May 2009)

"Kroonenberg's book constitutes an extremely valuable tool
for applied researchers in almost all domains of investigation
(from economics to psychology, from biomedicine to technology and
physical sciences), whenever they are faced with the task of
analyzing complex statistical data in view of obtaining useful
information in their areas of interest."
(Biometrics 2009)

"...the combination of worked-out examples alongside
descriptions and critical considerations on the theory behind those
analyses make AMDA an interesting book for researchers and
practitioners in both academia and industry. (Journal of the
American Statistical Association 2009)

"The book is written in a clear style and mostly in conceptual
rather than mathematical level. It emphasized the author's over
thirty years' personal experience and practical side of performing
multiway data analyses. It is easy to recommend this book, as it
really open news views of the world." (International Statistical
Review, December 2008)

"Good things take time - and this hold for this book as
well...Pieter Kroonenberg is one of the few with a profound
knowledge of multiway analysis. It is meritorious that he took the
effort to share his knowledge. It is to be hoped that a next
edition will appear soon...the book deserves a broad reading
public." (Vereniging voor Ordinatie en Classificatie,
Nieuwsbrief, no 41, November 2008)

"We believe that this book will offer applied researchers a lot
of good advice for using three-way techniques. In addition,
Applied Multiway Data-Analysis will turn out to be a
valuable resource of reference for three-way specialists."
(Mathematical Reviews, 2008)