Zhang Runchu, Mukerjee Rahul
Indian Institute of Management Calcutta, Joka, Diamond Harbour Road, Kolkata, India
Stat Appl Genet Mol Biol. 2013 Aug;12(4):489-503. doi: 10.1515/sagmb-2012-0054.
A general method for obtaining highly efficient factorial designs of relatively small sizes is developed for cDNA microarray experiments. It allows the main effects and interactions to be of possibly unequal importance. First, the approximate theory is employed to get an optimal design measure which is then discretized. It is, however, observed that a naïve discretization may fail to yield an exact design of the stipulated size and, even when it yields such an exact design, there is often scope for improvement in efficiency. To address these issues, we propose a step-up/down procedure which is seen to work very well. The resulting designs turn out to be quite robust to possible dye-color effects and heteroscedasticity. We focus on the baseline and all-to-next parametrizations but our method works equally well also for hybrids of the two and other parametrizations.
针对cDNA微阵列实验，开发了一种用于获得相对较小规模高效析因设计的通用方法。它允许主效应和交互作用可能具有不等的重要性。首先，采用近似理论得到一个最优设计度量，然后对其进行离散化。然而，人们发现，简单的离散化可能无法得到规定大小的精确设计，即使得到了这样的精确设计，效率往往仍有提高的空间。为了解决这些问题，我们提出了一种升序/降序程序，该程序被证明效果很好。结果表明，所得设计对可能的染料颜色效应和异方差具有很强的稳健性。我们关注基线和全对次参数化，但我们的方法对这两种参数化的混合以及其他参数化同样适用。
