Asymptotically Efficient Rank Invariant Test Procedures Author(s): Richard Peto and Julian Peto Source: Journal of the Royal Statistical Society. Series A (General), Vol. 135, No. 2 (1972), pp. 185-207 Published by: Wiley for the Royal Statistical Society Stable URL: http://www.jstor.org/stable/2344317 Accessed: 21-04-2017 17:23 UTC JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact
[email protected]. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://about.jstor.org/terms Royal Statistical Society, Wiley are collaborating with JSTOR to digitize, preserve and extend access to Journal of the Royal Statistical Society. Series A (General) This content downloaded from 171.65.37.237 on Fri, 21 Apr 2017 17:23:40 UTC All use subject to http://about.jstor.org/terms J. R. Statist. Soc. A, 185 (1972), 135, Part 2, p. 185 Asymptotically Efficient Rank Invariant Test Procedures By RICHARD PETO AND JULIAN PETO Radcliffe Infirmary, Institute of Psychiatry Oxford University University of London [Read before the ROYAL STATISTICAL SOCIETY on Wednesday, January 19th, 1972, the President Professor G. A. BARNARD in the Chair] SUMMARY Asymptotically efficient rank invariant test procedures for detecting differences between two groups of independent observations are derived. These are generalized to test between two groups of independent censored observations, to test between many groups of observations, and to test between groups after allowance for the effects of concomitant variables.