JOURNAL OF THE JAPAN STATISTICAL SOCIETY
Online ISSN : 1348-6365
Print ISSN : 1882-2754
ISSN-L : 1348-6365
A Saddlepoint Approximation to a Nonparametric Test for Ordered Alternatives
Hidetoshi MurakamiToshinari Kawamura
著者情報
ジャーナル フリー

2009 年 39 巻 2 号 p. 143-153

詳細
抄録
The approximation for the distribution function of a test statistic is extremely important in statistics. On testing the hypothesis in a multisample problem, the Jonckheere-Terpstra test is often used for testing the ordered location parameters. Herein, we performed a saddlepoint approximation with continuity correction in the upper tails for the Jonckheere-Terpstra statistic under finite sample sizes. We then compared the saddlepoint approximation with Odeh's approximation to obtain the exact critical value. The table of critical values was extended by using the saddlepoint approximation. Additionally, the orders of errors of a saddlepoint approximation were derived.
著者関連情報
© 2009 Japan Statistical Society
前の記事 次の記事
feedback
Top