实验设计与方差分析 Chap1_handout

Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Jingyuan Liu SOE and WISE Xiamen University DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA About the Instructor and TA Instructor Jingyuan Liu Ph D in Statistics The Pennsylvania State University USA Offi ce A314 Economics Building Offi ce Hours 2 30 4 00pm Tuesday or by appointment Email jingyuan1230 TA Juming Zhu Email 1246037355 QQ Group 361155390 DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA About the Course Required Textbooks Design and Analysis of Experiment 8th Edition by Douglas C Montgomery Prerequisties Probability and statistics applied regression Grade Policy Homework biweekly 20 Quiz randomly 20 Midterm Exam once I guess 30 Final Exam once of course 30 Class Participation any time any form Always a plus DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Why We Need this Course E g If we want to study the eff ect of temperature high vs low irrigation more water vs less water and light application time long vs short on the yield of wheat What do we do DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Why We Need this Course A reasonable and complete scientifi c research project consists of 1 Recognition and statement of the problem Non statistical 2 Selection of response variable 3 Choice of factors levels treatments for categorical variables and range for quantitative variables 4 Choice of experimental design to make it reasonable non statistical knowledge statistically good small bias small variance etc as simple as possible for low cost and ease of analysis 5 Performing the experiment and collecting the data 6 Statistical analysis of the collected data 7 Conclusion and recommendations Non statistical DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Intuition What are Design and Analysis of Experiment Galileo Galilei 1564 1642 Italian physicist mathematician astronomer and philosopher DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Intuition What are Design and Analysis of Experiment DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Origin of DOE Lady Tasting Tea DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Origin of DOE Lady Tasting Tea R A Fisher 1890 1962 English statistician biologist geneticist Father of modern statistics It would be more economical to list the few statistical topics in which he displayed no interest than those in which DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Origin of DOE Lady Tasting Tea DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Origin of DOE Lady Tasting Tea DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Origin of DOE Lady Tasting Tea DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Origin of DOE Lady Tasting Tea DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Origin of DOE Lady Tasting Tea DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA DOE and Analysis Golf Example Study the eff ects of two factors type of driver oversize vs regular and type of ball balata vs three pieces on golf scores DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA DOE and Analysis Golf Example Response scores Factors 1 type of driver 2 type of ball Levels Treatments 2 levels treatments for 1 oversize O and regular size R 2 levels treatments for 2 balata B and three pieces T DOE completely randomized design with 2 replications DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA DOE and Analysis Golf Example Analysis Estimate the eff ect of driver and ball Driver eff ect 92 94 93 91 4 88 91 88 90 4 3 25 Ball eff ect 88 91 92 94 4 88 90 93 91 4 0 75 DOE and ANOVA Chapter1Chapter 1 Introduction to Design of Experiment DOE and Analysis of Variance ANOVA Outline of this Course Analysis methods Basic statistical methods One population Two population One way ANOVA Multi factor ANOVA ANCOVA Design methods Completely randomized design CRD Randomized complete block design RCBD Latin square and balanced incomplete block design BIBD Experiment with nested factors and split plot design Full factorial design Two leve