基于e值的r阶向上向下检验过程OA

To address the difficulty of getting p-values in some irregular models during the traditional p-value multiple testing procedure,a step-up-down hypothesis procedure of order r based on e-values was proposed,on the basis of the e-BH procedure to further enhance the power of the multiple testing proce-dure.Firstly,the performance of this testing procedure was theoretically studied,and it was found that it can control the false discovery rate(FDR)to the specified level for any e-values test statistic,while maintaining unbiasedness.Then,some simulations were conducted to compare the step-up-down proce-dure of order r based on e-values with the e-BH procedure and traditional p-value multiple testing proce-dures,using indices related to FDR and false negatives rate(FNR).The simulation results illustrate that our proposed testing procedure is more powerful.The results show that this new testing procedure based on e-values is a powerful alternative to the traditional p-value testing procedure.