A Multiple Comparison Sign Test: Treatments Versus Control
- 1 December 1959
- journal article
- research article
- Published by Taylor & Francis in Journal of the American Statistical Association
- Vol. 54 (288) , 767-775
- https://doi.org/10.1080/01621459.1959.11683596
Abstract
Let (Xoj, X1j, …, Xkj) be the result of a single trial, where the subscripts o is associated with a control and the subscripts 1, …, k with treatments. To test the joint hypothesis P(Xij – Xoj > 0)=l/2 = P(Xij – Xoj < 0), all i, compute the test criterion (r1, …, rk) where ri is the number of times Xij, – Xoj is negative in n trials. A method for computing the distribution of (r1, …, rk) is illustrated. Exact probability distributions of min ri are given for k = 2, n = 4(1)10 and k = 3, n = 4(1)7. It is conjectured that 2(min r – n/2)/ is distributed approximately as Dunnett's t. Tables based on this conjecture are computed and values are seen to agree well with comparable values from the exact distribution.Keywords
This publication has 1 reference indexed in Scilit:
- A Multiple Comparison Procedure for Comparing Several Treatments with a ControlJournal of the American Statistical Association, 1955