浙大生物统计样卷2010年至2011-年B卷答案

Biostatistics余思扬31001002272012年6月-1-浙江大学2010–2011学年秋冬学期《生物统计(学)与实验设计》课程期末考试试卷—B卷Problem1(25points):Oneexperimentisperformedforevaluatingoverallteachingeffectivenessofteachers.Threefactorsarearrangedintheexperiment,whicharesexofteachersA(A1,male;A2,female),positionofteachersB(professorB1,associateprofessorB2;lecturerB3),andteacherC(C1,C2,C3).Theexperimentisconductedinoneyear;thesemesteristreatedasblock(autumnsemesterR1,springsemesterR2).Eachsurveyedteachergiveonecourseinonesemester.Attheendofsemester,theoverallteachingeffectivenessofindividualteacherisdeterminedbystudentsaccordingtotheirteachingmethod,teachingeffectandattitude.(1)Howmanyteachersareinvolvedinthisexperiment,amongthem,howmanyareprofessor,andassociateprofessors,respectively.Therearetotally2(gender)×3(position)×3(individual)=18teachersinvolvedinthisexperiment.Andthereare6professors,6associateprofessorsand6lecturers.(2)Whatisthedesignemployedinthisexperiment?ThedesignemployedinthisexperimentisCrossedNestedDesign.(3)WriteouttheANOVAmodelforanalysisofthisdataanddegreefreedomofeachfactorinthemodel.Error:SemesterBlock:Teacher:Position:Sex:Mean:2,13,2,13,2,12,1αlkjiYijkllijijkjiijklmSourceDegreeofFreedom(df)A11aB21bC121cabAB211baBlock11dError171DABABCBAdfdfdfdfdfabcd(4)Giveexamplestoexplainthestepswhichwillintroducerandomeffectsorsystematicnoisesintheexperiment.Freeanswer,writewhateverisright.(5)BasedonthefollowingSASstatementsforestablishingdataset,writeouttherestedstatementsoftheprogramforanalyzingthedatainGLMmoduleofSAS.DataTeaching;Inputsex$title$instructor$block$score@@;Cards;MaleProfC1R186FemaleAssocC1R182……MaleProfC3R289FemaleAssocC3R284;浙江大学2010–2011学年秋冬学期《生物统计(学)与实验设计》课程期末考试试卷B卷-2-Problem2(30points):-----------------------------------------------------------------------------------------------------------------SametoHomework.-----------------------------------------------------------------------------------------------------------------Problem3(15points):Asoftdrinkdistributorisstudyingtheeffectivenessofdeliverymethods.Threedifferenttypesofhandtruckshavebeendeveloped,andanexperimentisperformedinthecompany’smethodsengineeringlaboratory.Thevariableofinterestisthedeliverytimeinminutes(Y);however,deliverytimeisalsostronglyrelatedtothecasevolumedelivered(X).Eachhandtruckisusedfourtimesandthefollowingdataareobtained.123123Y272540443522X242638403226Y334653412618X354250402520(1)Howtotesttheeffectivenessofdeliverymethods?Inthisproblem,weshouldemploytheAnalysisofCovariance(ANOCOVA).(2)WriteouttheSASprogramforabovestatisticaltesting.(3)Forthefollowingresultsofanalysis,drawappropriatestatisticalconclusionand.DATAHand_truck;INPUTTypeXY@@;DATALINES;124271404413533140412262523235242462252633840326223505332018;PROCGLM;CLASSType;MODELY=XType;LSMEANSType/STDERRPDIFFADJUST=TUKEYETYPE=3;RUN;PROCGLM;CLASSsextitleinstructorblock;MODELscore=instructor(sex*title)sex|titleblock;MEANSsextitle/TUKEY;LSMEANSinstructor(sex*title)/STDERRPDIFF;LSMEANSsex*title/STDERRPDIFF;RUN;浙江大学2010–2011学年秋冬学期《生物统计(学)与实验设计》课程期末考试试卷B卷-3-FromtheSASresult,wecouldfindthatthePrFofmodelis0.0001,themodelisverysignificant,andwecandofurtheranalysis.FromR2wecouldknowthe96.7373%ofvariancecanbedeterminedbythemodel,whichisverypowerful.AndfromTypeIIISSwecanfindthattheonlyfactorthatsignificantisx(volumedelivered).SotheconclusionisinthemodelandVolumearesignificant.Andalsowecanfindinthismodel,thefactorTruckTypeisnotreachsignificantlevel.Andfromallabovethefinalconclusionthatthedeliverytimeinminutes(Y)isonlydependonthevolumedelivered(X).Problem4(30points):-----------------------------------------------------------------------------------------------------------------SametotheTypeApaper.-----------------------------------------------------------------------------------------------------------------