Genkin A A
Klin Lab Diagn. 1998 Apr(4):42-9.
The paper describes the method of image recognition in which a useful element of Bayes' approach, numerous alternatives, is united with the productive idea of heterogeneous sequential analysis--ordering of signs by their informative value for decision making. The idea of the method--a sequential Bayes' algorithm--consists in the following: the a priori probabilities are not determined before-hand but specified in turn, depending on the empirical material. The author proves that algorithms conforming to the Neumann-Pierson or Wald strategies, specifically, the heterogeneous sequential algorithm, are not to be referred to the Bayes' algorithms, as is usually done in analyses of clinical laboratory data. Ideologically the heterogeneous sequential algorithm was developed as a method for analysis of empirical data, whereas the Bayes' approach is a deductive method. Confusion of the Bayes' approach with the algorithms based on the probability ratios is methodologically unjustified at least because the Neumann-Pierson and Wald's approaches are the greatest statistical achievements of the twentieth century and have nothing to do with the Bayes' formula. The methodology of constructing the probability measure in the clinical laboratory signs space is described in detail, as are the new objects, interval and binary structures, which emerge in the course of this construction. These objects help improve the diagnostic significance of clinical laboratory information even in cases when the results of analyses are apparently normal. The sequential Bayes algorithm is compared with the traditional Bayes approach to certain clinical problems. The author concludes that the sequential Bayes algorithm is a serious alternative to algorithms for making multiple-alternative decisions in the solution of clinical tasks.
本文描述了一种图像识别方法,其中贝叶斯方法的一个有用元素——众多备选方案,与异类序贯分析的富有成效的理念相结合,即根据体征对决策的信息价值对体征进行排序。该方法的理念——序贯贝叶斯算法——如下所述:先验概率不是预先确定的,而是根据经验材料依次确定的。作者证明,符合诺伊曼 - 皮尔逊或瓦尔德策略的算法,特别是异类序贯算法,不应像在临床实验室数据分析中通常所做的那样被归为贝叶斯算法。从思想层面上讲,异类序贯算法是作为一种分析经验数据的方法而发展起来的,而贝叶斯方法是一种演绎方法。将贝叶斯方法与基于概率比的算法混淆在方法学上是不合理的,至少是因为诺伊曼 - 皮尔逊和瓦尔德方法是20世纪最伟大的统计学成就,与贝叶斯公式毫无关系。详细描述了在临床实验室体征空间中构建概率测度的方法,以及在构建过程中出现的新对象、区间和二元结构。即使在分析结果明显正常的情况下,这些对象也有助于提高临床实验室信息的诊断意义。将序贯贝叶斯算法与针对某些临床问题的传统贝叶斯方法进行了比较。作者得出结论,序贯贝叶斯算法是解决临床任务中多备选决策算法的一个重要替代方案。