{"title":"许多零假设的同时检验方法及其在DNA微阵列分析中的应用","authors":"Marcin Dudziński, K. Furmańczyk","doi":"10.14708/MA.V35I49/08.1389","DOIUrl":null,"url":null,"abstract":"In our paper, we consider different approaches to the problem of simultaneous testing of many null hypotheses. In this context, we discuss the single-step, the step-down and the step-up procedures of multiple testing. In particular, we are concerned with their properties and applications in the control of the error rates, such as:FW ER, k-FWER, FDP, FDR, pFDR. The mentioned procedures are intensively used in the DNA microarrays analysis, which enables the monitoring of expression levels of many genes simultaneously and is widely applied in recent medical diagnostics, treatment and research.","PeriodicalId":36622,"journal":{"name":"Mathematica Applicanda","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Simultaneous testing procedures of many null hypotheses and their applications in the DNA microarrays analysis\",\"authors\":\"Marcin Dudziński, K. Furmańczyk\",\"doi\":\"10.14708/MA.V35I49/08.1389\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In our paper, we consider different approaches to the problem of simultaneous testing of many null hypotheses. In this context, we discuss the single-step, the step-down and the step-up procedures of multiple testing. In particular, we are concerned with their properties and applications in the control of the error rates, such as:FW ER, k-FWER, FDP, FDR, pFDR. The mentioned procedures are intensively used in the DNA microarrays analysis, which enables the monitoring of expression levels of many genes simultaneously and is widely applied in recent medical diagnostics, treatment and research.\",\"PeriodicalId\":36622,\"journal\":{\"name\":\"Mathematica Applicanda\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Applicanda\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14708/MA.V35I49/08.1389\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Decision Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Applicanda","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14708/MA.V35I49/08.1389","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 0
摘要
在本文中，我们考虑了同时检验多个零假设问题的不同方法。在此背景下，我们讨论了多重测试的单步、降压和升压过程。特别地，我们关注它们的性质及其在错误率控制中的应用，如:FW ER, k-FWER, FDP, FDR, pFDR。上述程序在DNA微阵列分析中被广泛使用，可以同时监测许多基因的表达水平，并广泛应用于最近的医学诊断、治疗和研究。
Simultaneous testing procedures of many null hypotheses and their applications in the DNA microarrays analysis
In our paper, we consider different approaches to the problem of simultaneous testing of many null hypotheses. In this context, we discuss the single-step, the step-down and the step-up procedures of multiple testing. In particular, we are concerned with their properties and applications in the control of the error rates, such as:FW ER, k-FWER, FDP, FDR, pFDR. The mentioned procedures are intensively used in the DNA microarrays analysis, which enables the monitoring of expression levels of many genes simultaneously and is widely applied in recent medical diagnostics, treatment and research.
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