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两个独立比例之差的连续性校正威尔逊区间。

Continuity corrected Wilson interval for the difference of two independent proportions.

作者信息

Shan Guogen, Lou XiangYang, Wu Samuel S

机构信息

Department of Biostatistics, University of Florida, Gainesville, FL 32610.

出版信息

J Stat Theory Appl. 2023 Jun;22(1-2):38-53. doi: 10.1007/s44199-023-00054-8. Epub 2023 Apr 1.


DOI:10.1007/s44199-023-00054-8
PMID:37982044
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10655805/
Abstract

Confidence interval for the difference of two proportions has been studied for decades. Many methods were developed to improve the approximation of the limiting distribution of test statistics, such as the profile likelihood method, the score method, and the Wilson method. For the Wilson interval developed by Beal (1987), the approximation of the Z test statistic to the standard normal distribution may be further improved by utilizing the continuity correction, in the observation of anti-conservative intervals from the Wilson interval. We theoretically prove that the Wilson interval is nested in the continuity corrected Wilson interval under mild conditions. We compare the continuity corrected Wilson interval with the commonly used methods with regards to coverage probability, interval width, and mean squared error of coverage probability. The proposed interval has good performance in many configurations. An example from a Phase II cancer trial is used to illustrate the application of these methods.

摘要

两个比例之差的置信区间已经研究了数十年。人们开发了许多方法来改进检验统计量极限分布的近似,比如轮廓似然法、计分法和威尔逊法。对于比尔(1987年)提出的威尔逊区间,在观察到威尔逊区间存在反保守区间的情况下,通过使用连续性校正可以进一步改善Z检验统计量对标准正态分布的近似。我们从理论上证明,在温和条件下,威尔逊区间嵌套于连续性校正后的威尔逊区间。我们就覆盖概率、区间宽度和覆盖概率的均方误差,将连续性校正后的威尔逊区间与常用方法进行了比较。所提出的区间在许多情况下都具有良好的性能。通过一个II期癌症试验的例子来说明这些方法的应用。

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本文引用的文献

[1]
Continuity corrected score confidence interval for the difference in proportions in paired data.

J Appl Stat. 2022-9-14

[2]
Promising zone two-stage design for a single-arm study with binary outcome.

Stat Methods Med Res. 2023-6

[3]
Monte Carlo cross-validation for a study with binary outcome and limited sample size.

BMC Med Inform Decis Mak. 2022-10-17

[4]
Effects of dose change on the success of clinical trials.

Contemp Clin Trials Commun. 2022-9-5

[5]
New Confidence Intervals for Relative Risk of Two Correlated Proportions.

Stat Biosci. 2023

[6]
DIY bootstrapping: Getting the nonparametric bootstrap confidence interval in SPSS for any statistics or function of statistics (when this bootstrapping is appropriate).

Behav Res Methods. 2023-2

[7]
Optimal two-stage designs based on restricted mean survival time for a single-arm study.

Contemp Clin Trials Commun. 2021-1-23

[8]
Randomized Comparison of Pazopanib and Doxorubicin as First-Line Treatment in Patients With Metastatic Soft Tissue Sarcoma Age 60 Years or Older: Results of a German Intergroup Study.

J Clin Oncol. 2020-10-20

[9]
Accurate confidence intervals for proportion in studies with clustered binary outcome.

Stat Methods Med Res. 2020-10

[10]
Comments on 'Two-sample binary phase 2 trials with low type I error and low sample size'.

Stat Med. 2017-9-20

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