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Journal of the American Statistical Association Volume 78, 1983 - Issue 384
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Theory and Method

A Geometric Interpretation of Inferences Based on Ranks in the Linear Model

Thomas P. Hettmansperger Department of Statistics, Pennsylvania State University, University Park, PA, 16802, USA
&
Joseph W. McKean Department of Mathematics, Western Michigan University, Kalamazoo, MI, 49001, USA
Pages 885-893 | Received 01 Jul 1981, Published online: 12 Mar 2012
 
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Abstract

Four different approaches, based on ranks, to testing hypotheses are unified through the geometry of the linear model. The various tests are identified with different but algebraically equivalent forms of the classical F test. Small sample differences are investigated via a Monte Carlo study using both rank and signed rank tests.

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