| 刘遵雄,陈昊.多重相关检验中错误发现率的控制算法[J].井冈山大学自然版,2016,(3):35-40 |
| 多重相关检验中错误发现率的控制算法 |
| RESEARCH ON ALGORITHM OF FALSE DISCOVERY RATE CONTROL IN MULTIPLE DEPENDENT TESTS |
| 投稿时间：2016-02-29 修订日期：2016-04-14 |
| DOI：10.3969/j.issn.1674-8085.2016.03.008 |
| 中文关键词: 基因序列 零假设 备选假设 错误发现率 p值调整 检验功效 |
| 英文关键词: gene sequence null hypothesis alternative hypothesis power of test FDR adjustment of p-values power of test |
| 基金项目:国家自然科学基金项目(71361009) |
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| 摘要点击次数: 1898 |
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| 中文摘要: |
| 假设检验问题是通过比较p值和置信水平 的值来决定是否拒绝对应的假设, 时我们拒绝原假设。随着试验次数的增加,在所有满足零假设为真的p值集合中,数值较小的p值存在的可能性会增加,从而使得做出错误的判断,p值调整算法可以针对多重检验有效地缓解这类问题。本文讨论多重检验的p值调整算法的功效,模拟基因序列进行多重检验分析,产生2000个模拟量(即基因数量),重复实验1000次,得到1000组p值。对每组p值使用相应的调整算法得到新的p值,比较每个算法功效的优劣。模拟结果显示在我们所选用的5种p值调整算法中,q值方法(Storey 2003)能很好地控制错误发现率(FDR)的大小,同时具有更高的功效值。 |
| 英文摘要: |
| Hypothesis testing problem determines whether to reject the corresponding hypothesis through comparing p values with confidence level. A smaller p-value than the -level of the test signifies a statistically significant test. As the number of tests increases, the chance of observing some small p-values is very high even when all null hypotheses are true. Consequently, we make wrong conclusions on the hypotheses. Adjustment of p-values can effectively alleviate this problem. A simulation study with several methods was carried out in multiple hypothesis testing. Simulations generate 2000 analogue. The experiment was repeated 1000 times, 1000 sets of p value are obtained. Use the adjustment methods to access the new p-value, and then compare the advantages and disadvantages of each algorithm. The correlation between genes expression is in the covariance matrix. Simulation results show that among five algorithms selected, q value method can be efficient to control the false discovery rate size, also with higher power. |
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