A new angle on the t-test

Graham R. Wood, David J. Saville*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    R. A. Fisher's early work on linear models relied heavily on his knowledge of n-dimensional geometry. To illustrate this, we present an elementary, complete, modern day account of Fisher's geometric approach for the simple case of a paired samples t-test for a sample size of 3. A natural consequence of this approach is a surprisingly simple and explicit expression for the p-value.

    Original languageEnglish
    Pages (from-to)99-104
    Number of pages6
    JournalJournal of the Royal Statistical Society Series D: The Statistician
    Volume51
    Issue number1
    DOIs
    Publication statusPublished - 2002

    Keywords

    • Linear algebra
    • p-value
    • Paired samples t-test
    • Vector geometry

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