Analytical calculations of various powers assuming normality

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Sequential Analysis-Design Methods and Applications Pub Date : 2021-10-02 DOI:10.1080/07474946.2021.2010411

Ying-Ying Zhang, Tengzhong Rong, Man-Man Li

引用次数: 0

Abstract

Abstract Assuming normality for the prior and the likelihood, we calculate the rejection region, the power or the conditional power, and the predictive power or the conditional predictive power of one-sided hypotheses with a nonzero threshold that corresponds to a noninferiority test for two-arm trials for five different scenarios, which are nonsequential trials with classical power and Bayesian power and sequential trials with hybrid predictions, Bayesian predictions, and classical predictions. The rejection regions and the powers of one-sided hypotheses with a zero threshold that corresponds to a superiority test for two-arm trials are also obtained. Then the calculations of the various powers are illustrated through two examples. The article can be regarded as a reference manual for researchers interested in power calculations of one-sided hypotheses with a nonzero or zero threshold for the five different scenarios assuming normality for the prior and the likelihood.

查看原文本刊更多论文

假设正态的各种幂的分析计算

摘要:假设先验和似然的正态性，我们计算了拒绝区域，功率或条件功率，与非零阈值的单侧假设的预测能力或条件预测能力相对应的两组试验的非劣效性检验，这五组试验分别是具有经典功率和贝叶斯功率的非序列试验和具有混合预测的序列试验，贝叶斯预测，还有经典预言。还得到了与双臂试验的优势检验相对应的零阈值单侧假设的拒绝区域和幂。然后通过两个例子说明了各种幂的计算。这篇文章可以被看作是一个参考手册，研究人员有兴趣与非零或零阈值的单侧假设功率计算的五种不同的情景假设正态的先验和似然。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Sequential Analysis-Design Methods and Applications STATISTICS & PROBABILITY-

CiteScore

1.40

自引率

12.50%

发文量

期刊介绍： The purpose of Sequential Analysis is to contribute to theoretical and applied aspects of sequential methodologies in all areas of statistical science. Published papers highlight the development of new and important sequential approaches. Interdisciplinary articles that emphasize the methodology of practical value to applied researchers and statistical consultants are highly encouraged. Papers that cover contemporary areas of applications including animal abundance, bioequivalence, communication science, computer simulations, data mining, directional data, disease mapping, environmental sampling, genome, imaging, microarrays, networking, parallel processing, pest management, sonar detection, spatial statistics, tracking, and engineering are deemed especially important. Of particular value are expository review articles that critically synthesize broad-based statistical issues. Papers on case-studies are also considered. All papers are refereed.