This book covers methods for statistical inference in geometric data analysis based on a combinatorial framework. These methods enable the researcher to answer certain questions that cannot be answered by statistical models due to the underlying assumptions. It presents all the methodology, together with detailed case studies to illustrate the potential applications. R code is provided in the book for implementation of the methodology.

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.