臺灣博碩士論文加值系統

在DNA微陣列基因的實驗中資料包括數千個cDNA 序列，為了要篩選出有差異表現基因，同時針對大量基因個數作假設檢定。若無適當地調整個別檢定問題中的誤差率，則將會膨脹整體的誤差率。在多重假設檢定中為了讓整體誤差率(familywise error rate, FWE)控制在設定水準下，必須調整個別假設檢定之個別型一誤差率CWE的檢定準則，此為多重比較方法(multiple comparison procedures：MCP)。然而當多重比較的個數增加時，控制整體誤差率FWE之傳統的多重比較方法會是過於嚴格的標準，不容易推翻虛無假設，使得檢定的結果太過保守。為了解決此現象，Benjamini and Hochberg(1995) 建議另一種錯誤率：錯誤發現率(false discovery rate：FDR)。錯誤發現率定義為在被拒絕之虛無假設中錯誤拒絕的比例之期望值。而Benjamini and Hochberg(1995)也在文中提出一個得以控制錯誤發現率的多重比較方法，稱為BH方法。本篇論文將詳盡地介紹CWE、FWE和FDR三種誤差率，並提出－修正BH的方法，稱為BH( )。我們將透過電腦模擬驗證出新的修正BH方法之表現比原BH方法有較高的檢定力，且從實例的結果中發現BH( )比原BH方法能檢測出更多的顯著個數。
關鍵字：個別型一誤差率(CWE)；整體誤差率(FWE)；多重比較方法(MCP)；
錯誤發現率(FDR)。

cDNA microarray technology provides tools to study thousands of genes simultaneously. Since a large number of genes are compared, using a conventional significant test leads to the increase of the type I error rate. To avoid the inflation, the adjustment for multiplicity should be considered and a multiple comparison procedure (MCP) that controls the familywise error rate (FWE) is recommended. However, the conservativeness of a MCP that controls FWE becomes more and more severe as the number of comparisons (genes) increases. Instead of FWE, Benjamini and Hochberg (1995) recommended to control the expected proportion of falsely rejecting hypotheses─the false discovery rate (FDR)─and developed a MCP, which has its FDR under control. In this paper, the error rates CWE, FWE and FDR are fully introduced. A new MCP with FDR controlled is developed and its performance is investigated through intensive simulations.
KEY WORDS：Comparison-wise error rate (CWE)；Familywise error rate (FWE)；Multiple comparison procedure (MCP)；False discovery rate (FDR).

第一章 緒論............................................1
第二章 錯誤發現率FDR及其多重比較方法...................3
第一節 錯誤發現率FDR...................................3
第二節 BH方法..........................................6
第三章 估計 和檢定力(1-β) ..................... .......9
第一節 估計 ..........................................9
第二節 檢定力(1-β)之估計...............................10
第三節 修正BH方法-BH( ).............................14
第四章 模擬............................................17
第一節 估計 ..........................................17
第二節 多重比較方法之比較.............................26
第五章 實例應用....................................37
第一節 資料說明.......................................37
第二節 資料分析與檢定結果.............................38
第六章 結論與建議...................................43
參考文獻..............................................44
附錄..................................................45
（程式）

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