Permutation Tests in Shape Analysis

1. Front Matter

   Pages i-x

   PDF

2. A Brief Overview on Statistical Shape Analysis

   • Chiara Brombin, Luigi Salmaso

   Pages 1-16

3. Theoretical Aspects on Permutation Tests and Shape Analysis

   • Chiara Brombin, Luigi Salmaso

   Pages 17-36

4. Evaluating Power Behavior of Nonparametric Combination Testing Methodology After Generalized Procrustes Analysis and Under Different Correlation Structures

   • Chiara Brombin, Luigi Salmaso

   Pages 37-52

5. Power Behavior of Permutation Tests with High Dimensional Data

   • Chiara Brombin, Luigi Salmaso

   Pages 53-60

6. Finite-Sample Consistency of Combination-Based Tests in Shape Analysis

   • Chiara Brombin, Luigi Salmaso

   Pages 61-75

7. Applications to Real Case Studies

   • Chiara Brombin, Luigi Salmaso

   Pages 77-95

Statistical shape analysis is a geometrical analysis from a set of shapes in which statistics are measured to describe geometrical properties from similar shapes or different groups, for instance, the difference between male and female Gorilla skull shapes, normal and pathological bone shapes, etc. Some of the important aspects of shape analysis are to obtain a measure of distance between shapes, to estimate average shapes from a (possibly random) sample and to estimate shape variability in a sample[1]. One of the main methods used is principal component analysis. Specific applications of shape analysis may be found in archaeology, architecture, biology, geography, geology, agriculture, genetics, medical imaging, security applications such as face recognition, entertainment industry (movies, games), computer-aided design and manufacturing. This is a proposal for a new Brief on statistical shape analysis and the various new parametric and non-parametric methods utilized to facilitate shape analysis. ​ ​

• non-parametric statistics
• permutation tests
• shape analysis

From the reviews:

“This book puts forward an extension of nonparametric combination methodology for the field of shape analysis. … Novices are gently introduced into statistical shape analysis and geometric morphometrics, researchers are presented a new approach to the field and practitioners are demonstrated the usefulness of the technique on an application to facial expressions of emotions and another concerning aortic valve morphology.” (Ruxandra Stoean, zbMATH, Vol. 1281, 2014)

• Department of Management and Engineering, University of Padova,, Vicenza, Italy, Italy

  LUIGI SALMASO

• University of San Raffaele CUSSB, Vita-Salute, Milan, Italy

  Chiara Brombin

Luigi Salmaso,Ph.D. Professor of Statistics Department of Management and Engineering University of Padova Padova, Italy Chiara Brombin, Ph.D. CUSSB, Vita-Salute University of San Raffaele Milan, Italy

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