Maximum Likelihood Estimation of Titer via a Power Family of Four-Parameter Logistic Model.
Maximum Likelihood Estimation of Titer via a Power Family of Four-Parameter Logistic Model.
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DOI：
10.1080/10543406.2017.1333996
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发表时间：
2018
影响因子：
1.1
通讯作者：
Treanor J
中科院分区：
文献类型：
--
作者：
Yang H;Holden-Wiltse J;Topham DJ;Treanor J
对于许多实验室测定，读数是特定功能的存在或不存在，并且二元结果是相关的。研究兴趣通常集中在滴度的估计上，在50%阳性发生时。Reed和Muench（RM）的经典方法假设潜在滴度周围存在线性剂量-反应关系，并且仅使用来自潜在滴度周围两个点的信息，这在精密度和准确度方面都是低效的。虽然基于模型的方法，如四参数逻辑回归（4PL）使用所有数据，但它们没有考虑来自相同身份的二元结果之间的相关性，这可能导致估计精度过高。我们建议估计滴度从两个不同的锚：独立的反应，从相同的身份或可交换的反应，从相同的身份。响应的边际分布与稀释因子的协变量相关联，独立响应的4PL模型和可交换响应的4PL模型的幂族。最大似然法用于获得参数和滴度的估计值。所提出的方法优于经典的方法都证明了在模拟研究和分析的真实的数据从血凝试验。
For many laboratory assays, the readouts are presence or absence of a particular function, and the binary outcomes are correlated. The research interest is often focused on the estimation of titers, at which 50% positivity occurs. The classical approach by Reed and Muench (RM) assumes of a linear dose-response relationship around the potential titer, and uses only information from two points around the potential titer, which is inefficient in both precision and accuracy. While the model-based methods such as four-parameter logistic regression (4PL) use all the data, they do not consider the correlation among binary outcomes from same identities, which may lead to estimates with overstated precision. We propose estimating titers from two different anchors: independent responses from same identities or exchangeable responses from same identities. Marginal distributions of responses are linked to covariates of dilution factors by the 4PL model for independent responses and by a power family of the 4PL models for exchangeable responses. The maximum likelihood procedure is used to get estimates of parameters and titers. The superiority of proposed methods over the classical approach is demonstrated both in simulation studies and in analysis of real data from hemagglutination assays.
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影响因子：
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作者：
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通讯作者：
Dunn, JR
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