A new angle on the t-test

被引:3
作者
Wood, GR
Saville, DJ
机构
[1] AgRes, Stat Grp, Canterbury, New Zealand
[2] Massey Univ, Palmerston North, New Zealand
关键词
linear algebra; paired samples t-test; p-value; vector geometry;
D O I
10.1111/1467-9884.00301
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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.
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页码:99 / 104
页数:6
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