《商务统计》(英文版)全套课件253P.pptx
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,BusinessStatisticsBEO1106,BEO1106-Week1,1,WEEK1INTRODUCTIONTOSTATISTICSPRESENTATIONOFDATAReference:
Selvanathanetal.(2004),Chapters1,2,SUBJECTINFORMATION,found,workshopmaterial,theassignmentandpracticequestionscanbeanddownloadedfromthesubjectwebpageonCentralPoint:
http:
/www.business.vu.edu.au/beo1106,Nohardcopiesofanymaterialwillbeprovidedorsold.Otherrelevantinformationandimportantmessagesfromthesubjectco-ordinatorwillbepostedduringthesemesteronthiswebpage.,BEO1106-Week1,2,Aim:
Thissubjectisanintroductiontothebasicstatisticaltechniquesnecessarytodescribeandanalyzebusinessandeconomicdata.Itsfocusisonsoundmanagerialdecisionmakinginbusiness.SubjectInformation:
Thesubjectguide,lectureslides,tutorialand,Text:
Selvanathan,Aetal.(2004):
AustralianBusinessStatistics,3rdedition(Abridged),Nelson.,Assessment:
Test/CaseStudy(inweek6tutorials,closedbook)Assignment(ingroupsof2students)Examination(3hours,multiplechoice,openbook),BEO1106-Week1,3,20%20%60%Total100%,Topassthissubjectyoumustcompleteeachoftheaboveassessments,obtainatleast30outof60intheexaminationandobtainatleast50outof100intotal.Toobtainasatisfactorymarkinthissubjectyoushouldattend:
Lectures:
2hoursTutorials:
1hourWorkshops:
1hour(Optional)anddevoteabout6hoursaweektoindependentlearning,whichshouldincluderevisinglecturematerial,readingthechaptersofthetextbook,attemptingrecommendedquestionsandcompletingassignmenttaskseachweek.,Statisticalsoftware:
Micro-SoftExcel.DuringtutorialcomputerlabclassesyouwillbegiveninstructionsonusingMSExcelforstatisticalanalysis.IfyouwishtouseMSExcelathomeforyourassignmenttasks,youmustinstalltheDataAnalysisPlusadd-inwhichissuppliedwiththetextbook.Calculator:
Acalculatorisessentialforthissubject.Youarepermittedtotaketotheexamanyhandheldscientific,statisticalorgraphicscalculator.SubjectCoordinator:
HubertFernandoOfficeLocation:
A534FootscrayParkCampus,E-mail:
Hubert.Fernandovu.edu.auTelephone:
99194575Tutorialtimes:
Afterweek-2forallinquiriesrelatingtotutorialtimes,contact:
MsMiraMachut,FootscrayParkCampus,A543,BEO1106-Week1,4,nMajortopics:
1)DescriptiveMethods,BEO1106-Week1,5,Tabular,graphicalandnumericalsummaries.,2)ProbabilityTheory,Howtomeasurewhatisprobable?
data,6)RegressionandCorrelation,Howtodeterminetherelationshipbetweenvariables?
BUSINESSSTATISTICS,3)ProbabilityDistributions,BinomialandNormalprobabilities.,SamplingTheorySamplingDistributions.EstimationandHypothesisTestingMakinginferencesaboutpopulationsusingsample,TimeseriesanalysisandForecastingTimerelateddataanalysisIndexNumbersTimerelateddata,relativetoapointintime.,STATISTICALMETHODS,BEO1106-Week1,6,Twobasiccategoriesn1)DescriptiveStatisticsMethodsusedtosummarizethemassesofdataavailabletous,sothatwecaneasilyandclearlyseetheoverallpicture.Eg.Tabular,graphicalandnumericalsummaries.2)InferentialStatisticsMethodswhichfacilitatethemakingofgeneralizations(i.e.inferences)aboutpopulationcharacteristicsfrominformationobtainedfromasample.Eg.EstimatingtheaverageincomeofallAustralianhouseholdsbysurveyingasmallnumberofhouseholdsfromaroundthecountry.,STATISTICALTERMS,BEO1106-Week1,7,Data:
Individualpiecesofinformation.e.g.thenumberofBEO1106studentsinsemester1,2005atVU.Manystudents,Manycharacteristics(e.g.age,income,gender)Census:
Acompletesurveycarriedoutonpopulationdata.Population:
Thecompletesetofitems/datathatareofinterestinastatisticalinvestigation.(Eg.theagesofallBEO1106studentsatVU)Muststate1.Populationitem2.Boundary3.Characteristicofinterest.Sample:
Asmallsubsetofthepopulation.(Eg.theagesofBEO1106studentsintutorialgroup1.)Parameter:
Anumericalsummarymeasureofapopulation.(Eg.averageageofallBEO1106students.)Statistic:
Anumericalsummarymeasureofasample.(Eg.averageageofthestudentsintutorialgroup1.),Ex1:
(Selvanathan,p.8,ex.1.3(2000editionp.7,ex.1.3)Acoucillorwhoisrunningfortheofficeofmayorofacitywith25000registeredvoterscommissionsasurvey.Inthesurvey,48%ofthe200registeredvotersinterviewedsaytheyplannedtovoteforher.,BEO1106-Week1,8,a),Whatisthepopulationofinterest?
Theintentionsofthe25000registeredvoterstovoteforherornot.,b),Whatisthesample?
Theintentionsofthe200selectedregisteredvoters.,c),Isthevalue48%aparameterorastatistic?
Itisastatistic,sinceitreferstotheproportionofregisteredvotersinthesamplewhointendtovoteforthispolitician.,Ex2:
(Selvanathan,p.8,ex.1.6(2000editionp.7,ex.1.6)Youareshownacointhatitsownersaysisfairinthesensethatitwillproducethesamenumberofheadsandtailswhenflippedrepeatedly.,BEO1106-Week1,9,a),Describeanexperimenttotestthisclaim.Flipthecoin,e.g.30times,andobservetheoutcomes(HorT).Theclaimisfalse,ifH(orT)isnotproducedexactly50%ofthetrials.,b),Whatisthepopulationinyourexperiment?
Thesetofoutcomes(HorT)oflargenumber(e.g.10000)ofpossible,trials.,c),Whatisthesample?
Thesetofoutcomes(HorT)ofthe30trialsactuallyperformed.,d),Whatistheparameter?
TheproportionofH(orT)inthepopulation.,e),Whatisthestatistic?
TheproportionofH(orT)inthesample.,TYPESOFDATA,BEO1106-Week1,10,Qualitative:
Datawhichindicatethecategoryorgroupthatanobjectoritemisin.Notmeasurable(e.g.genderofstudents).Thesearenominalqualitativedata.Occasionallythecategoriescanberanked(eg.BBus,Hon,Mas,Phd).Theseareordinaldata.,Quantitative:
Datawhicharisefromacountingormeasuringactivity.Numericalobservations,(e.g.examresults).,Datameasuredinrealnumbersareintervaldata.Discretequantitative:
Datameasuredinwholenumbers.Thepossiblevaluescanbelistedandcounted.(eg.numberofstudentsindifferenttutorialclasses).Continuousquantitative:
(e.g.height,length,duration,volume).Datacanassumeaninfinitesetofvalueswithinagiveninterval.Eg.2.5iswithintheinterval2.49and2.51.Soare2.501and2.5011.Thepossiblevaluesaretoomanytobelistedorcounted,hencethetermcontinuous.Basicarithmeticoperations(+,x,)makesense.,Ex3:
(Selvanathan,p.23,ex.2.4(2000editionp.16,ex.2.4)Informationconcerningamagazinesreadershipisofinterestbothtothepublisherandtothemagazinesadvertisers.Asurveyof20subscribersincludedthefollowingquestions.Foreach,determinethedatatypeofpossibleresponses.,BEO1106-Week1,11,a),b),c),e),d),Whatisyourage?
Quantitative,theoreticallycontinuous,butdiscreteinpractice.Whatisyoursex?
Qualitative.Whatisyourmaritalstatus?
Qualitative.Isyourannualincomelessthan$20000,between$20000and40000,orover$40000?
Qualitative,ranked.Howmanyothermagazinesdoyousubscribeto?
Quantitative,discrete.,Datacanalsobeclassifiedas,BEO1106-Week1,12,Cross-sectionaldata:
Allobservationsarecollectedatasinglepointintime,buttheyrepresentdifferententities.(E.g.GDPsofOECDcountriesin2000.)Time-seriesdata:
Theobservationsarecollectedatregularintervalsoftime,buttheyrepresentasingleentity.(E.g.GDPofAustraliafrom1960to2000.)Statisticaldataisusuallystoredinacomputerfile(eg.spreadsheets).Case:
Allresponsesfromapersoninasampleorcensus.nEachrowinthespreadsheetisacase.(E.g.Theanswerstoallquestionsonaquestionnairefilledinbyonerespondent.)Variable:
Allresponsestoaparticularquestioninasampleorcensus.Eachcolumninthespreadsheetisavariable.(E.g.Theanswerstoaparticularquestiononaquestionnairefilledinbyallrespondents),Example:
TheResearchandDevelopmentUnitoftheUsuallyreadybattery,companyhdetermine,asrecentlydevelopedanewtypeofsixvoltbattery.Inordertowhetherthisnewbatteryhasalongerlengthoflifethanthenormal,sixvoltcell,asampleof200ofthenewbatteriesisinstalledinatestgridandtheirlengthsofliferecorded.samplesize,n=200variableXRawdatalifetimesof200sixvoltbatteries(hours)x1x2,BEO1106-Week1,13,x20,DESCRIPTIVE,SummarisingQua,METHODSntitativeData,theformofatableorbatteries,Frequencydistribution,from13upto,butnotincluding,14,Histogram:
agraphicalpresentationofa(relative)frequencydistribution.Eachclassisillustratedwitharectangle;Thebaseoftherectanglecorrespondstotheclassinterval;Theheightoftherectangleisproportionaltothecorrespondingfrequency.,BEO1106-Week1,14,Graphicalsummarylifetimesfor200sixvoltbatteriesHistogram,BEO1106-Week1,15,Ex4:
WhatwastheaverageannualfamilyincomeinVictoriainyear2000?
Population:
annualincomesofallfamilieslivinginVictoriain2000.About1millionfamilies.Surveyarandomsampleof5000Victorianfamiliesandrequesttheiraveragefamilyincomein2000.Letssupposethat4500familiesreturnthequestionary.,BEO1106-Week1,16,Inordertomakeeasi,ertointerpretthislistwecanranktheobservations.,Orderedarray:
alistoftheobservationsinascendingordescendingorder.,(Ex4)4500validdatainascendingorder,smallest,largest,BEO1106-Week1,17,Range:
largestsmallesti.e.11326=87,Frequencydistribution:
BEO1106-Week1,18,atablethatgroupsthedataintoclassintervals(orcategories)andrecordsthecorrespondingnumberofobservations,i.e.frequencies.,Thistableisstilltoobigandconfusing.Inordertoacquiremoreinformation,wecanconstructasummarytable,i.e.afrequencydistribution,arelativefrequencydistributionoracumulative(relative)frequencydistribution.,Relativefrequency:
theproportionofallobservationsinagivenclassinterval(ofteninpercentageform).,Cumulative(relative)frequency:
thesumof(relative)frequenciesfromthefirstclassthroughagivenclass.,How