Final Report of Design of Experiment Course（实验设计课程的最终报告）.pdfVIP

Final Report of Design of Experiment Course --A study on Factors Affecting Flying Distance of Arrows Projected From a Crossbow Group Leader: 侯燕铭 Group Members: 吕臣，胡欣然，吴梦春 Contents 1. Motivation 3 2. Literature Review3 2.1 The history of crossbow 3 2.2 Principle of crossbow 3 2.3 Physical principle of firing arrows 4 2.4 Methods of firing arrows using crossbow 5 3. Factor Decomposition 6 3.1 Assumption 6 3.2 Variable definition 6 3.2.1 Response variable 6 3.2.2 Control variable 6 3.2.3 Noise factor 7 3.2.4 Constant factor 7 4. Design of Experiment 7 4.1 Sample size analysis 8 4.2 Factor level definition 8 4.3 Implementation of experiment 8 4.4 The results of the experiment 10 5. Data Analysis 11 5.1 Basic analysis 11 5.1.1 Main effects 11 5.1.2 Interaction plot 12 5.1.3 Half normal plot 13 5.1.4 Pareto plot 14 5.1.5 ANOVA table 14 5.1.6 Regression model 15 5.1.7 Contour plots Response surface plot 17 5.2 Optimization design 19 6. Conclusion 20 7. Possible Improvement for Our Experiment 21 1.Motivation Crossbow originates from ancient China, which was widely used in the war. Though today it is no longer used in military, many toy factories sell lots of toy crossbows with little antipersonnel force. Especially, in recently years, with the popularity of a card game named “Killers of the Three Kingdoms”, crossbow regains its popularity among young people. We decided to choose wooden crossbow for the prototype of the Design of Experiment project because of the simple theorem, as well as the easy handing of the crossbow. Besides, the noise