Teacher’s corner a method for teaching statistics using a-dimensional geometry

D. J. Saville, G. R. Wood

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)

    Abstract

    A concrete geometric method is described that enables the basic techniques of statistics (analysis of variance and regression) to be presented to students in a rigorous but elementary fashion. The few necessary ideas from geometry are summarized, and their use is illustrated by means of examples. The method works always with two objects (the observation vector and the model space) and two processes (projection of the observation vector onto the model space and application of Pythagoras’s theorem).

    Original languageEnglish
    Pages (from-to)205-214
    Number of pages10
    JournalAmerican Statistician
    Volume40
    Issue number3
    DOIs
    Publication statusPublished - 1986

    Keywords

    • Analysis of variance
    • Elementary statistics
    • Projection
    • Pythagoras’s theorem
    • Regression
    • Subspace
    • Vector

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