A note on further properties of statistical tests
成果类型：
Article
署名作者：
Pearson, ES
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1941
页码：
5961
关键词：
摘要：
This note is introductory to the 2 papers by Hsu and Simaika immediately following. It traces the development of certain ideas involved in the testing of statistical hypotheses, starting from Neyman and Pearson''s conception of a uniformly most powerful test. When a test concerns the values of c [greater than or equal to] 2 parameters a fresh formulation of the requirements of a satisfactory test becomes necessary. Several lines of attack are open; one of these is that followed by Hsu and Simaika which makes the power of the test dependent on a single function, X, of the c population parameters. Out of tests, so dependent, it will often be possible to select the uniformly most powerful.