Jones R H, Reeve E B, Swanson G D
Comput Biomed Res. 1984 Jun;17(3):277-88. doi: 10.1016/s0010-4809(84)80019-1.
A numerical method for fitting linear compartmental models to data is presented which is similar to the method proposed by Jennrich and Bright (R. I. Jennrich and P. B. Bright, Technometrics 18, 385 (1976] and Feldman (H. A. Feldman. Amer. J. Physiol. 233, R1 (1977] but avoids some of the numerical difficulties. The method is direct and does not use numerical integration thereby avoiding time consuming and expensive calculations. Emphasis is on statistical procedures for model selection. In addition to the usual F tests for comparing two models, Akaike's Information Criterion (AIC) is introduced for choosing from among several models. The combined use AIC with an F test, chi-square test, or confidence intervals on estimated parameters gives a practical method to obtain a balance between underfitting and overfitting. Application to models of plasma protein kinetics illustrates the method.
本文提出了一种将线性房室模型拟合到数据的数值方法，该方法与Jennrich和Bright（R. I. Jennrich和P. B. Bright，《技术计量学》18, 385 (1976)）以及Feldman（H. A. Feldman，《美国生理学杂志》233, R1 (1977)）所提出的方法相似，但避免了一些数值计算上的困难。该方法是直接的，不使用数值积分，从而避免了耗时且昂贵的计算。重点在于模型选择的统计程序。除了用于比较两个模型的常用F检验外，还引入了赤池信息准则（AIC）以从多个模型中进行选择。将AIC与F检验、卡方检验或估计参数的置信区间结合使用，提供了一种在欠拟合和过拟合之间取得平衡的实用方法。血浆蛋白动力学模型的应用说明了该方法。
