LEADER 04743nam 22006615 450 001 9910438036203321 005 20250408095518.0 010 $a1-4614-8163-5 024 7 $a10.1007/978-1-4614-8163-8 035 $a(CKB)3710000000019043 035 $a(EBL)1466869 035 $a(SSID)ssj0001010519 035 $a(PQKBManifestationID)11527522 035 $a(PQKBTitleCode)TC0001010519 035 $a(PQKBWorkID)11003246 035 $a(PQKB)10725318 035 $a(DE-He213)978-1-4614-8163-8 035 $a(MiAaPQ)EBC1466869 035 $a(PPN)172420776 035 $a(EXLCZ)993710000000019043 100 $a20130906d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPermutation Tests in Shape Analysis /$fby LUIGI SALMASO, Chiara Brombin 205 $a1st ed. 2013. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013. 215 $a1 online resource (105 p.) 225 1 $aSpringerBriefs in Statistics,$x2191-5458 ;$v15 300 $aDescription based upon print version of record. 311 08$a1-4614-8162-7 320 $aIncludes bibliographical references. 327 $aPreface; Contents; 1 A Brief Overview on Statistical Shape Analysis; 1.1 Some Historical Notes; 1.2 How to Describe Shapes; 1.2.1 Monk Seal Skulls Study; 1.2.2 Example of Principal Facial Landmarks; 1.3 Multivariate Morphometrics; References; 2 Theoretical Aspects on Permutation Tests and Shape Analysis; 2.1 Inference and Shape Analysis; 2.2 Technical Details on Tests Known in Shape Analysis Literature; 2.2.1 Hotelling's T2 and Goodall's F Tests; 2.2.2 Euclidean Distance Matrix Analysis Methods; 2.3 NPC Approach to Shape Analysis; 2.3.1 A Suitable Algorithm; 2.3.2 Including MA Procedure 327 $a2.3.3 Closed Testing Procedure in Shape Analysis2.4 Permutation Version of Hotelling's T2; References; 3 Evaluating Power Behavior of Nonparametric Combination Testing Methodology After Generalized Procrustes Analysis and Under Different Correlation Structures; 3.1 Generalized Procrustes Analysis and Power of NonParametric Combination methodology; 3.2 Introducing Correlation Between Landmarks; 3.3 Paired Data Problems: Study of Symmetric Structures; References; 4 Power Behavior of Permutation Tests with High Dimensional Data; 4.1 High Dimensional Data with Small Sample Sizes 327 $a4.2 Simulation Study and Results4.3 Final Remarks; References; 5 Finite-Sample Consistency of Combination-Based Tests in Shape Analysis; 5.1 How to Obtain a Tangent Space: A Brief Overview; 5.2 Main Theorems and General Characterization of Finite Sample Consistency; 5.3 A Toy Example; References; 6 Applications to Real Case Studies; 6.1 Biometric Morphing and Facial Expression of Emotions; 6.2 Some Remarks on Iterated Combination; 6.3 On Morphology of Aortic Valve; 6.3.1 Introduction; 6.3.2 Inferential Results; 6.4 Final Remarks; References 330 $aStatistical shape analysis is a geometrical analysis from a set of shapes in which statistics are measured to describe geometrical properties from similar shapes or different groups, for instance, the difference between male and female Gorilla skull shapes, normal and pathological bone shapes, etc. Some of the important aspects of shape analysis are to obtain a measure of distance between shapes, to estimate average shapes from a (possibly random) sample and to estimate shape variability in a sample[1]. One of the main methods used is principal component analysis. Specific applications of shape analysis may be found in archaeology, architecture, biology, geography, geology, agriculture, genetics, medical imaging, security applications such as face recognition, entertainment industry (movies, games), computer-aided design and manufacturing. This is a proposal for a new Brief on statistical shape analysis and the various new parametric and non-parametric methods utilized to facilitate shape analysis. . 410 0$aSpringerBriefs in Statistics,$x2191-5458 ;$v15 606 $aStatistics 606 $aStatistics 606 $aBiometry 606 $aStatistics 606 $aStatistical Theory and Methods 606 $aBiostatistics 615 0$aStatistics. 615 0$aStatistics. 615 0$aBiometry. 615 14$aStatistics. 615 24$aStatistical Theory and Methods. 615 24$aBiostatistics. 676 $a519.5 700 $aSalmaso$b Luigi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0741086 702 $aBrombin$b Chiara$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910438036203321 996 $aPermutation Tests in Shape Analysis$92539849 997 $aUNINA