INTERVAL ESTIMATION OF ERROR VARIANCE FOLLOWING A PRELIMINARY TEST IN ONE-WAY RANDOM MODEL

被引:3
|
作者
CHIOU, P [1 ]
HAN, CP [1 ]
机构
[1] LAMAR UNIV,DEPT MATH,BEAUMONT,TX 77710
关键词
PRELIMINARY TEST; PRETEST CONFIDENCE INTERVAL; EXPECTED LENGTH; COVERAGE PROBABILITY;
D O I
10.1080/03610919508813277
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
A confidence interval for the error variance following a preliminary test in the one-way random model is investigated. This interval is referred to as a pre-test confidence interval. The expected length of the pre-test confidence interval is shorter than that of the usual confidence interval. The coverage probability of the pre-test confidence interval is less than the nominal level. However, at some selected levels of significance, the coverage probability of the pre-test confidence interval is only slightly less than the nominal level but the maximum reduction in expected length is substantial.
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页码:817 / 824
页数:8
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