In §1.1 of this chapter we discuss the aim of this book. In §1.2 and §1.3 we pictorially introduce the geometric ideas upon which the most commonly used statistical methods are based. In §1.4 we mention an alternative to the usual t or F test statistics, and in §1.5 we mention estimation of confidence intervals. In §1.6 we describe the layout of the book and in §1.7 we have a word with teachers. Lastly, in §1.8 we mention other authors who have dealt with these geometric ideas.
KeywordsFreezing Point Observation Vector Projection Vector Geometric Idea Orthogonal Coordinate System
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- We now list some of the other writers who have discussed the geometry underlying statistical methods. In their books, Scheff¨¦ (1959) discussed the topic on pages 10–13 and 42–45; Dyke (1988) devoted a chapter to the subject; Box, Hunter and Hunter (1978) discussed it on pages 178–182, 197203, 212–215 and 500–501; and Box (1978) discussed it on pages 122 129. In addition, Corsten (1958) published a booklet describing his usage of vectors for teaching statistics at the Agricultural University of Wageningen in The Netherlands. Papers on the topic have also been published by Durbin and Kendall (1951), Margolis (1979), Herr (1980), Bryant (1984) and ourselves (Saville and Wood, 1986).Google Scholar