Does R J, Strijbosch L W, Albers W
Department of Medical Informatics and Statistics, University of Limburg, Maastricht, The Netherlands.
Biometrics. 1988 Dec;44(4):1093-102.
Dilution assays are quantal dose-response assays that detect a positive or negative response in each individual culture within groups of replicate cultures that vary in the dose of cells/organisms tested. We propose three jackknife versions of the maximum likelihood estimator of the unknown parameter, i.e., the frequency of a well-defined cell within the context of limiting dilution assays or the density of organisms within the context of serial dilution assays. The methods have been evaluated with artificial data from extensive Monte Carlo experiments. As a result of these experiments and theoretical considerations, the jackknife version based on deleting one individual culture at a time is proposed as the statistical procedure of choice. The next best method is the jackknife version based on leaving out the same replicate from each of the culture groups at a time.
稀释试验是一种定量剂量反应试验，它能在测试细胞/生物体剂量不同的多组重复培养物中的每个单独培养物中检测到阳性或阴性反应。我们提出了未知参数最大似然估计量的三种刀切法版本，即在有限稀释试验背景下定义明确的细胞频率，或在连续稀释试验背景下生物体的密度。这些方法已通过大量蒙特卡罗实验的人工数据进行了评估。基于这些实验和理论考量，建议每次删除一个单独培养物的刀切法版本作为首选统计程序。次优方法是每次从每个培养组中剔除相同重复样本的刀切法版本。
