STAT5303Engineering and Data Science

Problem Set 1Stat.5303, Spring 2024Due:In Canvas by 12:00pm on Tuesday,Jan.23The goal of problems1and 2 istoencourage you to start thinkingabout experimental design.You willnecessarilyhave tosearchtheliterature(books,internet)for answers,but thewords youturninmust beyourown.Pleaseprovidethereferenceyouusedtoformulateyourresponses.Problems 1and 2 willbe graded S/N.Problems 3and 4 areintended asreview.Problem 1.Section 1.5makes reference to auniformity trial.What is a uniformity trial and whatisitspurpose?Problem 2.Brieflydescribeanexperimentaldesignfrom theliteraturethatmakesuseof Randomization,Replicationor Blocking.Identify:1.The goal of the experiment2.The outcome variable(s)of interest3.The experimental factors(s)4.Any control and/or nuisancefactorsidentifiedinthe design5.The set of treatments6.The experimental unit7.The nature of the randomization employed8.The blocking scheme, if the design wasblocked9.The method of analysisusedProblem 3.Technical Note Panel 1.1isbased a sample from a normal distribution.Istheresultof the panel altered if we drop drop the normality condition and require instead only thatY1,...,Ynisa sample withE(Yi)=µ,var(Yi)=σ2,i= 1,...,n?