相似文献

1

A COMPARISON OF POWER APPROXIMATIONS FOR SATTERTHWAITE'S TEST.萨特思韦特检验的功效近似值比较

Commun Stat Simul Comput. 1995;24(3):583-593. doi: 10.1080/03610919508813260.

2

A simulation study comparing two approximations for a quasi t-quantile, used in repeated measures ANOVA.

Stat Med. 1994 Aug 30;13(16):1657-63. doi: 10.1002/sim.4780131606.

3

Solutions to the Behrens-Fisher problem.

Comput Methods Programs Biomed. 2003 Mar;70(3):259-63. doi: 10.1016/s0169-2607(02)00021-4.

4

Analytic, Computational, and Approximate Forms for Ratios of Noncentral and Central Gaussian Quadratic Forms.非中心高斯二次型与中心高斯二次型比值的解析、计算及近似形式

J Comput Graph Stat. 2006 Jun 1;15(2):443-459. doi: 10.1198/106186006X112954.

5

A Comparison of Two Noncentral F Approximations, with Applications to Power Analysis in Set Correlation.

Multivariate Behav Res. 1987 Oct 1;22(4):483-90. doi: 10.1207/s15327906mbr2204_6.

6

Two-sample Behrens-Fisher problems for high-dimensional data: a normal reference scale-invariant test.高维数据的两样本贝伦斯-费希尔问题：一种正态参考尺度不变检验。

J Appl Stat. 2020 Oct 19;50(3):456-476. doi: 10.1080/02664763.2020.1834516. eCollection 2023.

7

Roy's largest root test under rank-one alternatives.在一阶备择假设下的罗伊最大根检验。

Biometrika. 2017 Mar;104(1):181-193. doi: 10.1093/biomet/asw060. Epub 2017 Jan 13.

8

An extension of Satterthwaite's approximation applied to pharmacokinetics.

J Biopharm Stat. 1998 May;8(2):317-28. doi: 10.1080/10543409808835241.

9

More on the means comparison with unequal variances problem.

J Biopharm Stat. 1996 May;6(2):177-83. doi: 10.1080/10543409608835131.

10

Use of interval estimations in design and evaluation of multiregional clinical trials with continuous outcomes.使用区间估计设计和评估具有连续结局的多区域临床试验。

Stat Methods Med Res. 2019 Jul;28(7):2179-2195. doi: 10.1177/0962280217751277. Epub 2018 Jan 22.

引用本文的文献

1

Performance of Real and Virtual Object Handling Task Between Post-Surgery Wrist Fracture Patients and Healthy Adults.手腕骨折术后患者与健康成年人之间真实和虚拟物体操作任务的表现

Healthcare (Basel). 2025 Jun 11;13(12):1390. doi: 10.3390/healthcare13121390.

2

Sample size estimation in educational intervention trials with subgroup heterogeneity in only one arm.单一组别亚组存在异质性的教育干预试验中的样本量估计。

Stat Med. 2013 May 30;32(12):2140-54. doi: 10.1002/sim.5678. Epub 2012 Nov 22.

3

Power for T-test comparisons of unbalanced cluster exposure studies.非平衡整群暴露研究的t检验比较功效。

J Urban Health. 2002 Jun;79(2):278-94. doi: 10.1093/jurban/79.2.278.

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

萨特思韦特检验的功效近似值比较

A COMPARISON OF POWER APPROXIMATIONS FOR SATTERTHWAITE'S TEST.

作者信息

Disantostefano Rachael L, Muller Keith E

机构信息

Family Health International, P.O. Box 13950, Research Triangle Park, North Carolina 27709.

出版信息

Commun Stat Simul Comput. 1995;24(3):583-593. doi: 10.1080/03610919508813260.

DOI:10.1080/03610919508813260

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3783032/

Abstract

When testing equality of means from two independent normal populations, many statisticians prefer heterogeneity tolerant tests. Moser, Stevens, and Watts described the noncentral density and a numerical integration algorithm for computing power. We present simple and accurate approximations for the power of the Satterthwaite test statistic. Two advantages accrue. First, the approximations substantially reduce the computational burden for tasks such as plotting power curves. Second, the approximations substantially simplify the programming and thereby make power calculations more widely available. Four methods of power approximation are evaluated for test sizes of .001, .01, .05, and .10, sample sizes of 6 and 51, variance ratios of 1 and 10, and noncentrality parameters from 0 to 50 by 1. A method based on a ratio of expected values is recommended due to its accuracy and simplicity.

摘要

在检验来自两个独立正态总体的均值是否相等时，许多统计学家更喜欢使用容忍异质性的检验方法。莫泽、史蒂文斯和瓦茨描述了非中心密度以及用于计算功效的数值积分算法。我们给出了萨特思韦特检验统计量功效的简单且准确的近似值。这带来了两个优点。首先，这些近似值大大减轻了诸如绘制功效曲线等任务的计算负担。其次，这些近似值极大地简化了编程，从而使功效计算更广泛地可用。针对检验规模为0.001、0.01、0.05和0.10，样本量为6和51，方差比为1和10，以及非中心参数从0到50（步长为1）的情况，对四种功效近似方法进行了评估。由于其准确性和简单性，推荐一种基于期望值比率的方法。