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Separate-channel analysis of two-channel microarrays: recovering inter-spot information

机译:双通道微阵列的单独频道分析:恢复点际信息

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Background Two-channel (or two-color) microarrays are cost-effective platforms for comparative analysis of gene expression. They are traditionally analysed in terms of the log-ratios (M-values) of the two channel intensities at each spot, but this analysis does not use all the information available in the separate channel observations. Mixed models have been proposed to analyse intensities from the two channels as separate observations, but such models can be complex to use and the gain in efficiency over the log-ratio analysis is difficult to quantify. Mixed models yield test statistics for the null distributions can be specified only approximately, and some approaches do not borrow strength between genes. Results This article reformulates the mixed model to clarify the relationship with the traditional log-ratio analysis, to facilitate information borrowing between genes, and to obtain an exact distributional theory for the resulting test statistics. The mixed model is transformed to operate on the M-values and A-values (average log-expression for each spot) instead of on the log-expression values. The log-ratio analysis is shown to ignore information contained in the A-values. The relative efficiency of the log-ratio analysis is shown to depend on the size of the intraspot correlation. A new separate channel analysis method is proposed that assumes a constant intra-spot correlation coefficient across all genes. This approach permits the mixed model to be transformed into an ordinary linear model, allowing the data analysis to use a well-understood empirical Bayes analysis pipeline for linear modeling of microarray data. This yields statistically powerful test statistics that have an exact distributional theory. The log-ratio, mixed model and common correlation methods are compared using three case studies. The results show that separate channel analyses that borrow strength between genes are more powerful than log-ratio analyses. The common correlation analysis is the most powerful of all. Conclusions The common correlation method proposed in this article for separate-channel analysis of two-channel microarray data is no more difficult to apply in practice than the traditional log-ratio analysis. It provides an intuitive and powerful means to conduct analyses and make comparisons that might otherwise not be possible.
机译:背景技术双通道(或两种颜色)微阵列是基因表达的比较分析的经济高效平台。传统上,它们在每个斑点的两个通道强度的日志比(m值)方面分析,但该分析不使用单独的信道观察中可用的所有信息。已经提出了混合模型来分析来自两个通道的强度作为单独的观察,但是这种模型可以复杂,并且难以量化对数值分析的效率的增益难以量化。混合模型只能指定零分布的率测试统计,只能指定大约,并且某些方法不会在基因之间借用强度。结果本文重新制定了混合模型,以澄清与传统的降价分析的关系,以促进基因之间的信息借入,并获得所得测试统计的精确分布理论。混合模型被转换为在M值和值(每个光斑的平均对数表达式)上操作,而不是在日志表达式值上运行。记录比率分析显示忽略A值中包含的信息。记录比分析的相对效率被显示为取决于触发相关性的大小。提出了一种新的单独信道分析方法,其假设跨所有基因的恒定的斑点相关系数。该方法允许混合模型转换为普通的线性模型,允许数据分析使用良好的经验贝叶斯分析管道进行微阵列数据的线性建模。这产生了具有精确分布理论的统计学强大的测试统计数据。使用三种案例研究比较对数,混合模型和常规相关方法。结果表明,单独的信道分析,基因之间的借用强度比对数比分析更强大。常见的相关性分析是所有的最强大。结论本文提出的常见相关方法在实践中不再难以施加的单独信​​道分析,而不是传统的降低比率分析。它提供了一种直观和强大的手段来进行分析,并进行比较,否则可能无法进行比较。

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