A more powerful test for comparing two Poisson means

被引：111

作者：

Krishnamoorthy, K ^{[1
]}

Thomson, J ^{[1
]}

机构：

[1] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2004年 / 119卷 / 01期

关键词：

binomial distribution; exact power; exact size; parametric bootstrap; Poisson distribution; sample size calculation; standardized difference;

D O I：

10.1016/S0378-3758(02)00408-1

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：

The problem of hypothesis testing about two Poisson means is addressed. The usual conditional test (C-test) and a test based on estimated p-values (E-test) are considered. The exact properties of the tests are evaluated numerically. Numerical studies indicate that the E-test is almost exact because its size seldom exceeds the nominal level, and it is more powerful than the C-test. Power calculations for both tests are outlined. The test procedures are illustrated using two examples. (C) 2002 Elsevier B.V. All rights reserved.

引用

页码：23 / 35

页数：13

共 15 条

[1] [Anonymous], 1952, ANN I STAT MATH, DOI DOI 10.1007/BF02949788
[2] Clopper CJ, 1934, BIOMETRIKA, V26, P404, DOI 10.2307/2331986
[3] Improved central confidence intervals for the ratio of Poisson means
Cousins, RD
[J]. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1998, 417 (2-3) : 391 - 399
[4] Efron B., 1982, SOC IND APPL MATH CB, V38, DOI [10.1137/1.9781611970319, DOI 10.1137/1.9781611970319]
[5] POWER COMPUTATIONS FOR DESIGNING COMPARATIVE POISSON TRIALS
GAIL, M
[J]. BIOMETRICS, 1974, 30 (02) : 231 - 237
[6] Hall P., 1992, BOOTSTRAP EDGEWORTH
[7] LIDDELL D, 1978, STATISTICIAN, V25, P295
[8] POWER IN COMPARING POISSON MEANS .2. 2-SAMPLE TEST
NELSON, LS
[J]. JOURNAL OF QUALITY TECHNOLOGY, 1991, 23 (02) : 163 - 166
[9] Homogeneity of results in testing samples from poisson series - With an application to testing clover seed for dodder
Przyborowski, J
Wilenski, H
[J]. BIOMETRIKA, 1940, 31 : 313 - 345
[10] Sahai H., 1993, MATH SCI, V18, P43

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