人大数理统计3-课件(12-16).pdf

谨以此课件献给 中国人民大学统计学院 本科2008级全体可爱的同学 本课程的教学只为你们而精彩！ Chapter 12 Considerations in Designing Experiments Designing Experiment 12.1 The Elements Affecting the Information in a Sample 12.2 Designing Experiments to Increase Accuracy 12.3 The Matched-Pairs Experiment 12.4 Some Elementary Experimental Designs 2、Designing Experiments to Increase Accuracy No single design is best in acquiring information concerning all types of population parameters. We just present two examples that illustrate the principles involved. 2、Designing Experiments to Increase Accuracy The sample size n is given, how to select from population 1 and 2? μ −μ n +n n Minimize V(Y −Y ) 1 2 1 2 1 2 n ? n ? 1 2 2 2 σ σ V(Y −Y ) 1 =+ 2 1 2 bn (1−b)n 2 2 σ1 1 2 σ2 1 2 − ( ) + ( ) 0 n b n 1−b 2、Designing Experiments to Increase Accuracy σ σ b 1 1−b 2 σ σ + + σ σ 1 2 1 2 σ σ n1 ( 1 )n n2 ( 2 )n + + σ σ σ σ 1 2 1 2 When sample sizes are allocated proport