Combinatorial Inference in Geometric Data Analysis (pdf)

Description

It focuses particularly on the comparison of a group of observations to a reference population (combinatorial test) or to a reference value of a location parameter (geometric test), and on problems of homogeneity, that is the comparison of several groups for two basic designs. These methods involve the use of combinatorial procedures to build a reference set in which we place the data. The chosen test statistics lead to original extensions, such as the geometric interpretation of the observed level, and the construction of a compatibility region.

Features:

• • Defines precisely the object under study in the context of multidimensional procedures, that is clouds of points

• • Presents combinatorial tests and related computations with R and Coheris SPAD software

• • Includes four original case studies to illustrate application of the tests

• • Includes necessary mathematical background to ensure it is self–contained

This book is suitable for researchers and students of multivariate statistics, as well as applied researchers of various scientific disciplines. It could be used for a specialized course taught at either master or PhD level.