On Models and Hypotheses with Restricted Alternatives
- 1 December 1965
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 60 (312) , 1153
- https://doi.org/10.2307/2283413
Abstract
A number of examples which involve restricted alternatives are given; each of these, except one, deals with normal distributions. The examples demonstrate the following: (a) one way to construct a simple test when the alternative hypothesis is restricted, (b) a method by which the additional restrictions can be justified, and (c) a procedure that can be used to defend the original model. An interesting relationship between Bartholomew's and a test statistic, which is used in this paper, is pointed out. Finally, a certain distribution-free problem and a solution of it are proposed.Keywords
This publication has 0 references indexed in Scilit: