Banks H T, Banks J E, Link Kathryn, Rosenheim J A, Ross Chelsea, Tillman K A
Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212 USA.
Division of Sciences & Mathematics, School of Interdisciplinary Arts & Sciences, University of Washington, Tacoma, Tacoma, Washington 98402.
Appl Math Lett. 2015 Jan 1;43:10-18. doi: 10.1016/j.aml.2014.11.002.
In the context of inverse or parameter estimation problems we demonstrate the use of statistically based model comparison tests in several examples of practical interest. In these examples we are interested in questions related to information content of a particular given data set and whether the data will support a more complicated model to describe it. In the first example we compare fits for several different models to describe simple decay in a size histogram for aggregates in amyloid fibril formation. In a second example we investigate whether the information content in data sets for the pest in cotton fields as it is currently collected is sufficient to support a model in which one distinguishes between nymphs and adults. Finally in a third example with data for patients having undergone an organ transplant, we question whether the data content is sufficient to estimate more than 5 of the fundamental parameters in a particular dynamic model.
在逆问题或参数估计问题的背景下，我们通过几个实际感兴趣的例子展示了基于统计的模型比较测试的应用。在这些例子中，我们关注与特定给定数据集的信息内容相关的问题，以及该数据是否支持用更复杂的模型来描述它。在第一个例子中，我们比较了几种不同模型对淀粉样纤维形成中聚集体大小直方图的简单衰减的拟合情况。在第二个例子中，我们研究当前收集的棉田害虫数据集的信息内容是否足以支持一个区分若虫和成虫的模型。最后，在第三个例子中，对于接受器官移植的患者的数据，我们质疑数据内容是否足以估计特定动态模型中的5个以上基本参数。
