LIMITING DILUTION ASSAYS - EXPERIMENTAL-DESIGN AND STATISTICAL-ANALYSIS
LIMITING DILUTION ASSAYS - EXPERIMENTAL-DESIGN AND STATISTICAL-ANALYSIS
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DOI：
10.1016/0022-1759(87)90115-3
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发表时间：
1987-02-26
影响因子：
2.2
通讯作者：
GROENEWEGEN, G
中科院分区：
文献类型：
--
作者：
STRIJBOSCH, LWG;BUURMAN, WA;GROENEWEGEN, G
考虑了有限稀释分析中的两个问题。第一个涉及实验设计：已经开发了一种数学算法，该算法计算重复培养组的数量，以及基于实验者关于未知频率的先验信息使用的每孔细胞的（平均）数量。如果要确定的频率的先验间隔估计是正确的，并且细胞愿意生长，则该过程保证有用的数据。第二个问题涉及用于估计未知频率的统计方法。几种方法（最小卡方，最大似然和刀切版本的最大似然法）已被评估与人工数据从广泛的蒙特卡洛实验。这三种方法在数据的统计分析中都是有用的。作为这些实验和理论考虑的结果，刀切版本的最大似然估计程序被提出作为统计程序的选择。下一个最好的方法是最大似然法。
Two issues in limiting dilution analysis are considered. The first concerns the experimental design: a mathematical algorithm has been developed which calculates the number of replicate culture groups, and the (mean) number of cells per well to be used on the basis of the experimenter''s a priori information about the unknown frequency. The procedure guarantees useful data if the a priori interval estimate of the frequency to be determined is correct and the cells are willing to grow. The second issue concerns the statistical method to be used for estimation of the unknown frequency. Several methods (minimum chi-square, maximum likelihood and the jackknife version of the maximum likelihood method) have been evaluated with artificial data from extensive Monte Carlo experiments. All three methods were useful in the statistical analysis of data. As a result of these experiments and theoretical considerations the jackknife version of the maximum likelihood estimation procedure is proposed as the statistical procedure of choice. The next best method is the maximum likelihood procedure.