美赛特等奖论文_精品文档资料下载.pdf

美赛特等奖论文_精品文档资料下载.pdf

《美赛特等奖论文_精品文档资料下载.pdf》由会员分享，可在线阅读，更多相关《美赛特等奖论文_精品文档资料下载.pdf（33页珍藏版）》请在冰豆网上搜索。

Team#28414Page1of33EvaluationSystemforCollegeCoachingLegendsSummaryInordertoevaluatetheperformanceofacoach,wedescribemetricsinfiveaspects:

@#@historicalrecord,gamegoldcontent,playoffperformance,honorsandcontributiontothesports.Moreover,eachaspectissubdividedintoseveralsecondarymetrics.Takeplayoffperformanceasexample,wecollectpostseasonresult（SweetSixteen,FinalFour,etc.）peryearfromNCAAofficialwebsite,Wikimediaandsoon.First,AnalyticHierarchyProcess（AHP）Modelisestablishedtodeterminetheweightofeachmetrictocoachesevaluationgrade.Allmetricsareadequatelyfilledintothethree-hierarchystructure,andthenweobtainthemetricweightbasedonwhichevaluationgradeiscalculated.Second,FuzzySyntheticEvaluation（FSE）isbuilttoovercomeweaknessofexcesssubjectivefactorsinAHP.Thismodeltakesdataprocessingbymembershipfunctiontogeneratefuzzymatrix.Afterthat,entropymethodandlinearweightedmethodareappliedtoobtainevaluationgrade.Toevaluatetheaccuracyofthetwomodels,hitscoreisdefined.ItissupposedtoreflectthedifferencebetweenourresultsandstandardrankingsfromseveralauthoritiessuchasESPNandSportingNews.TakeNCAAbasketballasacasestudy,AHPreceives78.77hitscorewhileFSEgets81.81,whichindicatesthatFSEperformsbetterthanAHP.Afterwards,AggregationModel（AM）canbedevelopedbycombiningthetwomodelsbasedonhitscore.Thetop5collegebasketballcoaches,inturn,areJohnWooden,MikeKrzyzewski,AdolphRupp,DeanSmithandBobKnight.Timelinehorizondoesmakeadifference.AccordingtoturningpointsinNCAAhistory,wedividethepreviouscenturyintosixperiodswithdifferenttimeweightswhichleadtothechangeofranking.Weapplyourmodelintocollegewomensbasketballonlytofindthatgendersdonotmatter.Modelprovestobeefficientinothersports.Therankingofcollegefootballis:

@#@BearBryant,KnuteRockne,TomOsborne,JoePaterno,BobbyBowden,andthetop5coachesincollegehockeyareBobJohnson,RedBerenson,JackParker,JerryYork,RonMason.WeconductsensitivityanalysisonFSEtofindbestmembershipfunctionandcalculationrule.Sensitivityanalysisonaggregationweightisalsoperformed.ItprovesAMperformsbetterthansinglemodel.Asacreativeuse,top3presidents（U.S.）arepickedout:

@#@AbrahamLincoln,GeorgeWashington,FranklinD.Roosevelt.Atlast,thestrengthandweaknessofourmodearediscussed,non-technicalexplanationispresentedandthefutureworkispointedaswell.Team#28414Page2of33I.Introduction.31.1ProblemBackground.31.2PreviousResearch.31.3OurWork.3II.Symbols,DefinitionsandAssumptions.42.1SymbolsandDefinitions.42.2GeneralAssumptions.5III.Articulateourmetrics.53.1Specifyevaluationnorms.53.2Collectdata.83.3Preprocessdata.9IV.Twomodelsforcoachranking.104.1ModelI:

@#@AnalyticHierarchyProcess（AHP）.104.1.1Thethree-hierarchystructure.104.1.2Obtaintheindexweight.104.1.3Results&@#@analysis.114.2ModelII:

@#@FuzzySyntheticEvaluation（FSE）.124.2.1Quantifygradesinthefiveaspects.124.2.2Determinemembershipfunctions.134.2.3Determinetheweightsusingentropymethod.144.2.4Results&@#@analysis.15V.ModelsCombination.155.1Evaluationofindividualmodel.155.2AggregationModel.175.3Results&@#@analysis.17VI.ExtendOurModels.186.1Gendersdonotmatter.186.2Timefactordoesmakeadifference.196.2.1Whytimefactormatters?

@#@.196.2.2Howtimefactormatters?

@#@.196.2.3Whatisthevariationtendency?

@#@.236.3Modelalsoworksinothersports.23VII.Furtherdiscussion.257.1SensitiveAnalysisonFSE.257.1.1VaryMembershipfunction.257.1.2Varycalculationrule.277.2SensitiveAnalysisonAggregationweight.287.3Explore:

@#@EvaluatingBestPresident.29VIII.StrengthandWeakness.30IX.Non-technicalExplanation.30X.Futurework.32XI.References.32Team#28414Page3of33I.Introduction1.1ProblemBackgroundSportsIllustratedisanAmericansportsmediafranchiseownedbymediaconglomerateTimeWarner1.Thismagazineislookingforthe“bestalltimecollegecoach”maleorfemaleforthepreviouscentury.Thebestcollegecoachorcoachescanbefromamongeithermaleorfemalecoachesindifferentfields,suchascollegehockeyorfieldhockey,football,baseballorsoftball,basketball,orsoccer.Wefacemainlyfourproblems:

@#@Articulateourownmetricsandbuildamathematicalmodel;@#@Setuptheevaluationsystemfortheperformanceofthemodel.Discusshowourmodelcanbeappliedwithtimefactororacrossbothgendersandallpossiblesports;@#@Analyzetheinfluencesoftheparameters,thendiscusswhetheryourmodelcouldbeappliedintowidefields.1.2PreviousResearchSomemagazinesorwebsitesthatfocusmainlyoncollegesportshaverankedthetopcollegecoachesofdifferentsports.Forexample,hasmadeabasket-ballpowerrankings2whichshowsthetop25coachesofcollegebasketball.Consideringthebestcoll