【論】Pan,2002,A comparative review of statistical ～

Wei Pan
A comparative review of statistical methods for discovering differentially expressed genes in replicated microarray experiments
Bioinformatics Vol.18 no.4 2002 Pages 546-554
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・遺伝子抽出法の性能比較。t-test [図1段目]と、それの Regression medeling approach [Thomas; 2段目] と Mixture modeling approach [Pan; 3段目] の三法。
・データ：Leukemia (ALL/AML) data [Golub]
・評価法：Wilcoxon rank sum test と、遺伝子のアノテーションによる生物学的評価。
・おまけとして、Significance Analysis of Microarray (SAM) [Tusher]と 、Empirical Bayesian method [Efron] とも比較。

・問題点と目標「However, it may not be clear how these methods compare with each other. Our main goal here is to compare three methods, the t-test, regression medeling approach and a mixture model approach with particular attention to their different modeling assumptions.」
・人工データ「A general statistical model is　　Y_jk = a_j + b_jx_k + e_jk　　where x_k = 1 for 1 <k < K and x_k = 0 for K₁ + 1 <k < K + K₂, and e_jk are random errors with mean 0.」
・問題点「A common problem with the above t-test and the regression approach is their strong assumption on the null distributions of the test statistics.」
・特長「The method takes full advantage of the existence of replicated data, but it does require that both K₁ and K₂ are even numbers.」
・注意「However, the specific ranking may be very different methods used in preprocessing the data.」