Simultaneous confidence intervals for pairwise multiple comparisons in a two-way unbalanced design with unequal variances

Zhang Guoyi

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Simultaneous confidence intervals for pairwise multiple comparisons in a two-way unbalanced design with unequal variances

机译：差异不相等的双向不平衡设计中成对多重比较的同时置信区间

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摘要

In this research, we propose simultaneous confidence intervals for all pairwise multiple comparisons in a two-way unbalanced design with unequal variances, using a parametric bootstrap approach. Simulation results show that Type 1 error of the multiple comparison test is close to the nominal level even for small samples. They also show that the proposed method outperforms Tukey-Kramer procedure when variances are heteroscedastic and group sizes are unequal.

机译：在这项研究中，我们使用参数自举方法为方差不等的双向不平衡设计中的所有成对多重比较建议同时置信区间。仿真结果表明，即使对于小样本，多重比较测试的1类误差也接近标称水平。他们还表明，当方差是异方差且组大小不相等时，建议的方法优于Tukey-Kramer过程。

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来源
《Journal of statistical computation and simulation》 |2015年第15期|2727-2735|共9页
作者
Zhang Guoyi;
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作者单位

Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
multiple comparison; simulations; unequal variance; ANOVA; parametric bootstrap;

机译：多重比较;仿真;不等方差;方差分析;参数自举;

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专利

1. SIMULTANEOUS CONFIDENCE INTERVALS FOR PAIRWISE MULTIPLE COMPARISONS IN A TWO-WAY UNBALANCED DESIGN [J] . Cheung SH., Chan WS. Biometrics: Journal of the Biometric Society : An International Society Devoted to the Mathematical and Statistical Aspects of Biology . 1996,第2期

机译：双向非平衡设计中对多个比较的同时置信区间
2. Comparison of confidence intervals on the among group variance in the unbalanced variance component model [J] . XINMIN LI, GUOYING LI Journal of statistical computation and simulation . 2007,第5a6期

机译：不平衡方差成分模型中组方差之间的置信区间比较
3. Comparison of Confidence Intervals on Between Group Variance in Unbalanced Heteroscedastic One-Way Random Models [J] . XINMIN LI Communications in Statistics . 2007,第2期

机译：非平衡异方差单向随机模型中组方差置信区间的比较
4. Confidence intervals on sum of variance components with unbalanced designs. [C] . The Eight China-Japan Symposium on Statistics . 2004

机译：具有不平衡设计的方差分量之和的置信区间。
5. Simultaneous Confidence Intervals for Pairwise Differences of Location Parameters and Means from Exponential Distributions. [D] . Lv, Shanshan. 2017

机译：位置参数和均值来自指数分布的成对差异的同时置信区间。
6. Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data [O] . Patcharee Maneerat, Sa-Aat Niwitpong, Suparat Niwitpong, 2021

机译：用于截止数据的Δ-lognormal分布方法的所有成对比较的同步置信区间
7. Simultaneous pairwise multiple comparisons in a two-way design with fixed concomitant variables. [O] . 1996

机译：具有固定伴随变量的双向设计中的同时成对多重比较。
8. Exact Simultaneous Confidence Intervals for Pairwise Comparisons of Three Normal Means [R] . Spurrier, J. D., Isham, S. P. 1984

机译：三种正规方法成对比较的精确同时置信区间

Simultaneous confidence intervals for pairwise multiple comparisons in a two-way unbalanced design with unequal variances

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