Resampling-based simultaneous confidence intervals for location shift using medians

Richter Scott J.; McCann Melinda H.

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Resampling-based simultaneous confidence intervals for location shift using medians

机译：基于中值的基于重采样的同时置信区间用于位置偏移

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A method for computing simultaneous pairwise confidence intervals for location shift is presented, based on the permutation distribution of the maximum absolute pairwise difference among all pairs. The method guarantees strong control of familywise confidence, and does not require assumptions about the form of the population distribution. Simulations compare the permutation procedure to a bootstrap procedure, as well as to the Tukey-Kramer procedure. Simulation results suggest the proposed permutation method produces intervals that maintain simultaneous coverage, and that can be more precise for heavy-tailed distributions compared to competing methods. The permutation intervals may be preferred for data from heavy-tailed distributions.

机译：提出了一种基于所有对之间的最大绝对成对绝对差的排列分布来计算同时成对置信区间以进行位置偏移的方法。该方法保证了对家庭信心的强有力控制，并且不需要假设人口分布的形式。仿真将置换过程与引导过程以及Tukey-Kramer过程进行了比较。仿真结果表明，提出的置换方法产生的间隔可以保持同时覆盖，并且与竞争方法相比，对于重尾分布而言可以更精确。对于来自重尾分布的数据，置换间隔可能是优选的。

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《AStA Advances in statistical analysis》 |2016年第2期|189-205|共17页
作者
Richter Scott J.; McCann Melinda H.;
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作者单位

Univ N Carolina, Math & Stat, 107 Petty Bldg,POB 26170, Greensboro, NC 27402 USA;

Oklahoma State Univ, Dept Stat, Stillwater, OK 74075 USA;

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原文格式 PDF
正文语种 eng
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关键词
Simultaneous intervals; Permutation test; Median difference; Location shift;

机译：同步间隔;置换检验;中位数差;位置偏移;

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1. Resampling-based confidence intervals for model-free robust inference on optimal treatment regimes [J] . Wu Yunan, Wang Lan Biometrics: Journal of the Biometric Society : An International Society Devoted to the Mathematical and Statistical Aspects of Biology . 2021,第2期

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2. Relative excess risk due to interaction: resampling-based confidence intervals. [J] . Nie L, Chu H, Li F, Epidemiology . 2010,第4期

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3. Asymptotic and Resampling-Based Confidence Intervals for P(X < Y) [J] . AYMAN BAKLIZI Communications in Statistics. B, Simulation and Computation . 2006,第2期

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4. Bootstrap Confidence Interval for the Median Failure Time of Three-Parameter Weibull Distribution [C] . N. A. Ibrahim, A. Kudus World Congress on Engineering . 2007

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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. Confidence intervals for the difference of median failure times applied to censored tumor growth delay data [O] . Jianrong Wu -1

机译：用于抑制肿瘤生长延迟数据的中位失效时间差异的置信区间
7. Table 1: Median and 95 confidence interval of the median (in brackets) of the pairwise relative differences () between the two treatments by days since the last watering of the low frequency treatment. [O] . -1

机译：表1：两种治疗之间的两次治疗之间的成反相对差异（％）的中位数和95％置信区间，自下次浇水后的低频处理。

Resampling-based simultaneous confidence intervals for location shift using medians

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