A FITTED TEST FOR THE BEHRENS-FISHER PROBLEM

被引:2
|
作者
LEE, AFS
FINEBERG, NS
机构
[1] BOSTON UNIV,DEPT MATH,BOSTON,MA 02215
[2] INDIANA UNIV,SCH MED,INDIANAPOLIS,IN 46223
关键词
TEST OF 2 MEANS WHEN VARIANCES UNEQUAL; SIZE; POWER;
D O I
10.1080/03610929108830521
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In 1975, Lee and Gurland proposed a solution to the Behrens-Fisher problem. It had excellent control of size and power and was relatively simple to use. However it requires extensive special tables. This article proposes a modification of this approach. It replaces the tables with easily computed functions of the sample sizes and a standard t table. Control of size and power are equivalent to that obtained by Lee and Gurland. Furthermore, the test is also compared with the Welch's approximate t test and shows better control of size, with similar power curves when sample sizes are at least four from each of the two normal populations.
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页码:653 / 666
页数:14
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