The Geometric Tool Kit

  • David J. Saville
  • Graham R. Wood
Part of the Springer Texts in Statistics book series (STS)


This book is aboutvisualizingthe classical methods of statistical analysis. The critical link between the numbers of a data set and the picture we analyze is the notion of a vector, a visual representation of that set of numbers. This chapter introduces you to the basic ideas of the geometry of vectors. Vectors are defined in §1, then in §2 we demonstrate how to combine them. Angles between vectors are defined in §3, projections of vectors are discussed in §4, and we conclude in §5 with a discussion of Pythagoras’ Theorem. Rest assured that we discuss only those ideas which are necessary for the statistics we do later!


Unit Vector Formal Definition Projection Vector Orthogonal Coordinate System Orthogonal Unit Vector 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • David J. Saville
    • 1
  • Graham R. Wood
    • 2
  1. 1.AgResearchBiometrics UnitLincolnNew Zealand
  2. 2.Department of MathematicsUniversity of CanterburyChristchurchNew Zealand

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