报告 人：刘民千教授 南开大学统计研究院

报告题目：Minimal-point Design for Order of Addition Experiment

报告时间：2017年11月15日（周三）上午14:00-15:00

报告地点：知新楼B座1238

报告摘要：In Fisher (1971), a lady was able to tell whether the tea or the milk was first added by tasting. This is probably the first popular order of addition experiment. In general, there are m required components and we hope to determine the optimal sequence for adding these m components one after another. Knowing the optimal order of addition among components related in production is crucial. Order of addition, as an important factor affecting practical life, is involved in many areas including medical, food and film industry. However, references on this subject are rather primitive. In this talk, we provide some properties of the pair-wise ordering designs to study the orders of addition. A construction method for the minimal-point order of addition designs is proposed. It is shown that minimal-point order of addition designs can save significant amount of cost with higher relative D-efficiencies. Simulative studies are included to illustrate the ability of the minimal-point order of addition designs to distinguish the optimal orders of addition among components.

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