Statistical Analysis of Circular Data [Paperback]

A unified, up-to-date account of circular data-handling techniques, useful throughout science.Statistical methods for handling circular data have developed rapidly in the past twenty years, with emphasis on problems of data display, and the correlation, regression, and analysis of data with temporal or spatial structure. This text provides a unified and up-to-date account.Statistical methods for handling circular data have developed rapidly in the past twenty years, with emphasis on problems of data display, and the correlation, regression, and analysis of data with temporal or spatial structure. This text provides a unified and up-to-date account.This book provides a unified and up-to-date account of techniques for handling circular data, and will interest all who perform data analyses.Preface; 1. The purpose of the book; 2. Survey of contents; 3. How to use the book; 4. Notation, terminology and conventions; 5. Acknowledgements; Part I. Introduction: Part II. Descriptive Methods: 2.1. Introduction; 2.2. Data display; 2.3. Simple summary quantities; 2.4. Modifications for axial data; Part III. Models: 3.1. Introduction; 3.2. Notation; trigonometric moments; 3.3. Probability distributions on the circle; Part IV. Analysis of a Single Sample of Data: 4.1. Introduction; 4.2. Exploratory analysis; 4.3. Testing a sample of unit vectors for uniformity; 4.4. Nonparametric methods for unimodal data; 4.5. Statistical analysis of a random sample of unit vectors from a von Mises distribution; 4.6. Statistical analysis of a random sample of unit vectors from a multimodal distribution; 4.7. Other topics; Part V. Analysis of Two or More Samples, and of Other Experimental Layouts: 5.1. Introduction; 5.2. Exploratory analysis; 5.3. Nonparametric methods for analysing two or more samples of unimodal data; 5.4. Analysis of two or more samples from von Mises distributions; 5.5. Analysis of data from more complicated experimental designs; Part VI. Correlation and Regression: 6.1. Introl£A