Randomized group up and down experiments

An up and down (U&D) procedure is a sequential experiment used in binary response trials for identifying the treatment corresponding to a prespecified probability of positive response. Recently, a group version of U&D procedures has been proposed whereby at each stage a group of units is treated at the same level and the number of observed positive responses determines the treatment assigned to the next group. The deterministic nature of this algorithm leads to some limitations that in this paper we propose to overcome by introducing a randomization mechanism. A broad class of randomized group U&D’s is presented, giving the conditions for targeting the treatment level of interest. In addition, we study how the properties of the design change as we vary the method of randomization within this general class and find randomization schemes which guarantee desirable results in terms of the asymptotic behavior of the experiment.     

综合评价方法在NBA赛程分析中的应用

随着认知领域的不断扩大,人们所面临的评价对象日益复杂,综合评价问题得到广泛应用.针对高职类学生知识结构特点,主要介绍层次分析法及模糊综合评价法在建模培训中的应用.在实践中,通过抓住确定影响因素指标体系及确定各指标权重这两个关键环节,把握各种具体的综合评价方法的主体思想.针对08年全国大学生数学建模竞赛D题(NBA赛程分析与评价),介绍赛程评价方法及赛程安排的0-1规划模型.     

学生成绩排名的综合评价模型

对学生成绩排名提出几种新的综合评价模型:主成分分析模型,专家调查法-主成分分析模型,因子分析模型.然后利用一般使用模型和上面介绍的几种模型对理学院信计2000级学生成绩进行分析处理.最后对各种模型比较,找出一种较科学、公平、合理的评价模型.     

模糊综合评判在步枪作战效能评估中的应用

从20世纪80年代至90年代开始,世界各主要军事大国均研制了本国的新一代步兵战斗用枪.本文应用模糊综合评判方法对两代(共10种)冲锋枪和自动步枪作战效能的评估和排序进行了讨论,并对其作战效能和技术水平进行了判断.所得结论对了解我军装备的先进程度,适应新时期军事科学和战备具有特别重要的意义.     

ERP系统实施风险的模糊综合评判

充分考虑了ERP系统实施的风险性,建立了一套用模糊综合评判法评判ERP系统实施风险的指标,并通过实例说明了ERP系统实施风险的模糊综合评判方法.