Permutation Tests in Shape Analysis

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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. ​ ​

Author(s): LUIGI SALMASO, Chiara Brombin (auth.)
Series: SpringerBriefs in Statistics 15
Edition: 1
Publisher: Springer-Verlag New York
Year: 2013

Language: English
Pages: 95
Tags: Statistics, general; Statistical Theory and Methods; Statistics for Life Sciences, Medicine, Health Sciences

Front Matter....Pages i-x
A Brief Overview on Statistical Shape Analysis....Pages 1-16
Theoretical Aspects on Permutation Tests and Shape Analysis....Pages 17-36
Evaluating Power Behavior of Nonparametric Combination Testing Methodology After Generalized Procrustes Analysis and Under Different Correlation Structures....Pages 37-52
Power Behavior of Permutation Tests with High Dimensional Data....Pages 53-60
Finite-Sample Consistency of Combination-Based Tests in Shape Analysis....Pages 61-75
Applications to Real Case Studies....Pages 77-95