THE NON-CENTRAL CHI-2-DISTRIBUTION AND F-DISTRIBUTION AND THEIR APPLICATIONS
成果类型：
Article
署名作者：
PATNAIK, PB
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1949
页码：
202232
关键词：
摘要：
Approximations are derived for the probability integrals of non-central X2 and of non-central F, i.e., the ratio of a non-central X2 to an independent central X 2. The simplest approximation for non-central X2 with n d.f, interpolatesin the table of centralX2 with n +[image] d.f. and multiplies then + 2 Xinterpolate by 1 + [image], where [image] andX2 =[image]. The corresponding approximation for non- central F uses [image] and V2 d.f. for numerator and denominator, respectively and multiplies the interpolate by[image], where V1 and v 2 are the original d.f. More ac-v1 curate approximations and the approx. power functions of the X 2 and F tests are given. Some applications are shown.