Schmehl M K, Cobb L, Bank H L
Department of Pathology and Laboratory Medicine, Medical University of South Carolina, Charleston 29425.
In Vitro Cell Dev Biol. 1989 Jan;25(1):69-75. doi: 10.1007/BF02624413.
Six different statistical methods for comparing limiting dilution assays were evaluated, using both real data and a power analysis of simulated data. Simulated data consisted of a series of 12 dilutions for two treatment groups with 24 cultures per dilution and 1,000 independent replications of each experiment. Data within each replication were generated by Monte Carlo simulation, based on a probability model of the experiment. Analyses of the simulated data revealed that the type I error rates for the six methods differed substantially, with only likelihood ratio and Taswell's weighted mean methods approximating the nominal 5% significance level. Of the six methods, likelihood ratio and Taswell's minimum Chi-square exhibited the best power (least probability of type II errors). Taswell's weighted mean test yielded acceptable type I and type II error rates, whereas the regression method was judged unacceptable for scientific work.
我们使用实际数据和模拟数据的功效分析，对六种比较极限稀释分析的不同统计方法进行了评估。模拟数据包括两个治疗组的一系列12种稀释液，每种稀释液有24个培养物，每个实验有1000次独立重复。每次重复中的数据通过蒙特卡罗模拟生成，基于实验的概率模型。对模拟数据的分析表明，六种方法的I型错误率有很大差异，只有似然比和塔斯韦尔加权平均法接近名义上的5%显著性水平。在这六种方法中，似然比和塔斯韦尔最小卡方检验表现出最佳功效（II型错误概率最小）。塔斯韦尔加权平均检验产生了可接受的I型和II型错误率，而回归方法被认为不适合科学研究。
