Abstract

In this article, a class of sequential precedence tests based on ranked set samples (RSS-SPT) with different sequential rank schemes and different α-spending is proposed. The exact null distributions of the proposed RSS-SPT test statistics are derived and the corresponding critical values are tabulated. The performance of the class of RSS-SPT is evaluated in terms of their the power values and their efficiencies by means of the expected stopping location, expected number of failures, and expected total experimental time consumed. The exact power functions and efficiencies of different test procedures under the Lehmann alternative are derived. The performance of RSS-SPT is compared with the nonsequential precedence test based on ranked set samples under the Lehmann alternative based on exact calculation and under the location-shift alternative using Monte Carlo simulations. Conclusions and recommendations are provided based on the numerical results.

摘要

在本文中，一类基于排序集样本（RSS-SPT）的顺序优先测试，具有不同的顺序排序方案和不同的α- 建议支出。推导出所建议的 RSS-SPT 测试统计的精确零分布，并列出相应的临界值。RSS-SPT 类的性能是根据其功率值和效率通过预期停止位置、预期失败次数和预期总实验时间来评估的。导出了 Lehmann 替代方案下不同测试程序的确切功效函数和效率。在基于精确计算的 Lehmann 替代方案和使用蒙特卡罗模拟的位置偏移替代方案下，将 RSS-SPT 的性能与基于排序集样本的非顺序优先测试进行比较。根据数值结果给出结论和建议。