Improved Graphical Based Estimators for the Proportion of True Null Hypothesis

CUI Jiarong,LIU Jiamin, XU Wangli

Journal of Systems Science and Mathematical Sciences ›› 2019, Vol. 39 ›› Issue (1) : 106-119.

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Journal of Systems Science and Mathematical Sciences ›› 2019, Vol. 39 ›› Issue (1) : 106-119. DOI: 10.12341/jssms13548

Improved Graphical Based Estimators for the Proportion of True Null Hypothesis

  • CUI Jiarong ,LIU Jiamin, XU Wangli
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Abstract

Estimation for proportion or number of true null hypotheses is an essential task in multiple hypothesis test. One type of estimating methods is based on the graphic of the sorted p-values first proposed by Schweder and Spjϕtvoll(1982). But these methods only utilize the information of a specific cutpoint p-value, existing methods may lose efficiency when the deviation between null hypothesis and alternative hypothesis is small. In this paper, we improve estimating methods by taking all information of p-values on the null hypotheses. Improved methods are more accurate and efficient than corresponding original methods due to more information can be used. Compared with the existing methods, the accuracy of the proposed methods is competitive through numerical study.

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CUI Jiarong , LIU Jiamin , XU Wangli. Improved Graphical Based Estimators for the Proportion of True Null Hypothesis. Journal of Systems Science and Mathematical Sciences, 2019, 39(1): 106-119 https://doi.org/10.12341/jssms13548
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