Statistical Methods : A Geometric Primer

The Aim Of This Book Is To Present The Mathematics Underlying Elementary Statistical Methods In As Simple A Manner As Possible. These Methods Include Independent And Paired Sample T-tests, Analysis Of Variance, Regression, And The Analysis Of Covariance. The Author's Principle Tool Is The Use Of Geometric Ideas To Provide More Visual Insight And To Make The Theory Accessible To A Wider Audience Than Is Usually Possible. From The Contents: Introduction -- Paired Samples -- Independent Samples -- Several Independent Samples (analysis Of Variance) -- Simple Regression -- Overview -- Appendices: Geometric Tool Kit; Statistical Tool Kit; Computing; Alternative Test Statistic; Solutions To Exercises; Statistical Tables. David J. Saville, Graham R. Wood. Includes Bibliographical References And Index. This book presents a novel exposition of the subjects of analysis of variance and regression. The key feature is that these tools are viewed in their natural mathematical setting, the geometry of finite dimensions. Geometry clarifies the basic statistics and unifies the many aspects of analysis of variance and regression. Front Matter....Pages i-xi Introduction....Pages 1-9 Paired Samples....Pages 10-38 Independent Samples....Pages 39-67 Several Independent Samples....Pages 68-102 Simple Regression....Pages 103-141 Overview....Pages 142-151 Back Matter....Pages 152-268 "[Suitable for] general interest readers as well as university students in their first or second year ... linear or vector geometry students who desire the illumination provided by a concrete application of the theory"--Page [1]