An Invariant Approach to Statistical Analysis of Shapes
Editorial Reviews
Review
The appearance of this book by Subhash Lele and Joan Richtsmeier is to be welcomed. In recent years there has been much discussion of the relative advantages of morphometric methodology developed by Fred Bookstein and his colleagues versus the EDMA approach advocated by Lele and Richtsmeier. Now readers can decide for themselves.
-Short Book Reviews, Vol. 21, No. 2, August 2001
The invariance principle, a beautiful mathematical concept, is used, alongside statistical techniques, to analyze various biological shapes and forms... Landmark coordinate data technique is used throughout, with topics covered ranging from the study of growth and form to Euclidean distance matrix analysis and applications. In addition to end-of-chapter summaries, useful algorithms, and end-of-text bibliography, various applications are provided of a wide range of problems that transcend disciplinary boundaries. Highly recommended. Graduates through professionals.
-CHOICE, January 2002
This book is a result of a successful, interdisciplinary collaboration between a statistician and a biologist. Most chapters are broken into two clearly identified parts-the first part is strongly rooted in biological applications and the second part contains the accompanying formal mathematical analyses. Despite the advanced level of this monograph, the writing is clear and well organized. The book is a highly recommended resource for scholars who are interested in mathematical and statistical analyses of shape information.
-Journal of Mathematical Psychology, Vol. 46 (2002)
This book describes statistical methods that are applicable to analyse morphometric data. …The closing part offers new ideas to extend Euclidian distance matrix analysis procedures to complex biological problems. The book is an important practical guide for the analysis of morphometric data.
- Zentralblatt fur Mathematik, August 2002
...this is a useful and complementary addition to the recent series of books on statistical shape analysis.
-I. L. Dryden, Biometrics, Vol 58, June 2002
This book is an unusual book in that it is a collaborative work by a statistician and an anthropologist. … useful for applied statisticians who are interested in analyzing the shapes of biological organisms.
- Technometrics, August 2004, Vol. 46, No. 3
Book Description
An Invariant Approach to the Statistical Analysis of Shapes results from a long and fruitful collaboration between a mathematical statistician and a biologist. Together they have developed a methodology that addresses the importance of scientific relevance, biological variability, and invariance of the statistical and scientific inferences with respect to the arbitrary choice of the coordinate system. Morphometrics has only recently begun to consider the invariance principle and it implications for the study of biological form. With the advantage of dual perspectives, This book stands as a unique and important work that brings a decade's worth of innovative methods, observations, and insights to an audience of both statisticians and biologists.
An Invariant Approach to Statistical Analysis of Shapes
An Invariant Approach to Statistical Analysis of Shapes,Subhash R. Lele,J. T. Richtsmeier,Chapman & Hall/CRC,0849303192,Biostatistics,Life Sciences - Biology - General,Mathematical Statistics,Mathematics,Morphology,Probability & Statistics - General,Science,Science/Mathematics,Statistical methods,Mathematics / Statistics
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