Statistical Shape Analysis with SAS®

Overview

Outline

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Relative Size

Relative Position, Color

Deaths Age 65+

* Comparing Algorithms for Missing Value Imputation, Size and Location

Shape Data  à Statistical Interpretation

Applications

Example Applications

Methods

Definitions

Size

A Shape Coordinate System

Bookstein Coordinates

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Bookstein Coordinates of Mouse Vertebrae Data

Handwritten '3' Data. 13 Landmarks in 2 Dimensions, 30 Individuals

Carry out Bookstein's Baseline Registration & Calculates a Mean Shape

Some Key Aspects of Shape Analysis

Generalized Procrustes Analysis

Full Procrustes Distance

Ordinary Procrustes Analysis

Geometry of Procrustes Fits in Calculating Procrustes Distances

PROC FACTOR ODS Table – Procrustes Rotation

Shape Variability

What is the relation between outlines, landmarks and biological homology?

Outline Analysis

EFF.SAS

Outline of EFF.SAS
Program Components

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Numerical Data

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Additional/ Related Topics

Conclusions

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About the Speaker