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UNSUSPECTEDRELATIONSHIPSWHICHAREOFINTERESTORVALUETOTHEDATABASESOWNERS,ORDATAMINERS9DUETOTHELARGENUMBEROFDIMENSIONALITYANDTHEHUGEVOLUMEOFDATA,TRADITIONALSTATISTICALMETHODSHAVETHEIRLIMITATIONSINDATAMININGTOMEETTHECHALLENGEOFDATAMINING,ARTICIALINTELLIGENCEBASEDHUMANCOMPUTERINTERACTIVETECHNIQUESHAVEBEENWIDELYUSEDINDATAMINING3,16CONCEPTUALCONSTRUCTIONONINCOMPLETESURVEYDATASHOUHONGWANGA,HAIWANGBADEPARTMENTOFMARKETING/BUSINESSINFORMATIONSYSTEMS,CHARLTONCOLLEGEOFBUSINESS,UNIVERSITYOFMASSACHUSETTSDARTMOUTH,285OLDWESTPORTROAD,NORTHDARTMOUTH,MA027472300,USABDEPARTMENTOFCOMPUTERSCIENCE,UNIVERSITYOFTORONTO,TORONTO,ON,CANADAM5S3G4RECEIVED22MARCH2003RECEIVEDINREVISEDFORM9SEPTEMBER2003ACCEPTED20OCTOBER2003AVAILABLEONLINE26NOVEMBER2003ABSTRACTTHERAWSURVEYDATAFORDATAMININGAREOFTENINCOMPLETETHEISSUESOFMISSINGDATAINKNOWLEDGEDISCOVERYAREOFTENIGNOREDINDATAMININGTHISARTICLEPRESENTSTHECONCEPTUALFOUNDATIONSOFDATAMININGWITHINCOMPLETESURVEYDATA,ANDPROPOSESQUERYPROCESSINGFORKNOWLEDGEDISCOVERYANDASETOFQUERYFUNCTIONSFORTHECONCEPTUALCONSTRUCTIONINSURVEYDATAMININGTHROUGHACASE,THISPAPERDEMONSTRATESTHATCONCEPTUALCONSTRUCTIONONINCOMPLETEDATACANBEACCOMPLISHEDBYUSINGARTICIALINTELLIGENCETOOLSSUCHASSELFORGANIZINGMAPSC2112003ELSEVIERBVALLRIGHTSRESERVEDKEYWORDSINCOMPLETESURVEYDATASURVEYDATAMININGCONCEPTUALCONSTRUCTIONSELFORGANIZINGMAPSCLUSTERANALYSISKNOWLEDGEDISCOVERYQUERYPROCESSING1INTRODUCTIONDATAMININGISTHEPROCESSOFTRAWLINGTHROUGHDATAINTHEHOPEOFIDENTIFYINGINTERPRETABLEPATTERNSDATAMININGISDIERENTFROMTRADITIONALSTATISTICALANALYSISINTHATITISAIMEDATNDINGWWWELSEVIERCOM/LOCATE/DATAKDATAWHENANDWHYCERTAINTYPESOFVALUESAREOFTENMISSINGWHATVARIABLESARECORRELATEDINTERMSOFHAVINGMISSINGVALUESATTHESAMETIMETHESEVALUABLEPIECESOFKNOWLEDGECANBEDISCOVEREDONLYAFTERTHEMISSINGPARTOFTHEDATASETISFULLYEXPLOREDTHISPAPERDISCUSSESTHEISSUEOFMISSINGDATAINMININGSURVEYDATABASESFORKNOWLEDGEDISCOVERY,PRESENTSTHECONCEPTUALFOUNDATIONSOFCONCEPTUALCONSTRUCTION,ANDPROPOSESASETOFQUERYFUNCTIONSFORCONCEPTUALCONSTRUCTIONINSOMBASEDDATAMININGTHERESTOFTHEPAPERISORGANIZEDASFOLLOWSSECTION2DISCUSSESTHEISSUESOFMISSINGDATARELATEDTODATAMININGSECTION3INTRODUCESSOMFORCONCEPTUALCONSTRUCTIONONINCOMPLETEDATASECTION4SUGGESTSFOURCONCEPTSASKNOWLEDGEDISCOVERYINDATAMININGWITHINCOMPLETEDATAITPROVIDESASCHEMEOFCONCEPTUALCONSTRUCTIONONINCOMPLETEDATAUSINGSOMSECTION5PROPOSESAQUERYTOOLTHATISUSEDTOMANIPULATESOMFORCONCEPTUALCONSTRUCTIONSECTION6PRESENTSACASESTUDYTHATAPPLIESTHEQUERYTOOLTOMANIPULATETHESOMFORTHECONCEPTUALCONSTRUCTIONONASTUDENTOPINIONSURVEYDATASETFINALLY,SECTION7OERSCONCLUDINGREMARKS2ISSUESOFMISSINGDATAINCOMPLETEDATASETSAREUBIQUITOUSINDATAMININGTHEREHAVEBEENMANYTREATMENTSOFMISSINGDATAONEOFTHECONVENIENTSOLUTIONSTOINCOMPLETEDATAISTOELIMINATEFROMTHEDATASETTHOSERECORDSTHATAREMISSINGVALUESTHIS,HOWEVER,IGNORESPOTENTIALLYUSEFULINFORMATIONINTHOSERECORDSINCASESWHERETHEPROPORTIONOFMISSINGDATAISLARGE,THECONCLUSIONSDRAWNFROMTHESCREENEDDATASETAREMORELIKELYBIASEDORMISLEADINGTHEREHAVEBEENMANYNONSTATISTICALTECHNIQUESFORDATAMININGTHESELFORGANIZINGMAPSSOMMETHODBASEDONKOHONENNEURALNETWORK12ISONEOFTHEPROMISINGTECHNIQUESSOMBASEDCLUSTERTECHNIQUESHAVEADVANTAGESOVEROTHERMETHODSFORDATAMININGDATAMININGTYPICALLYDEALSWITHVERYHIGHDIMENSIONALDATATHATIS,ANOBSERVATIONINTHEDATABASEFORDATAMININGISTYPICALLYDESCRIBEDBYALARGENUMBEROFVARIABLESTHECURSEOFDIMENSIONALITYTURNSSTATISTICALCORRELATIONSOFDATAINSIGNICANT,ANDTHUSMAKESSTATISTICALMETHODSPOWERLESSTHESOMMETHOD,HOWEVER,DOESNOTRELYONANYASSUMPTIONSOFSTATISTICALTESTS,ANDISCONSIDEREDASSWANG,HWANG/DATAHOWEVER,NOTALLMISSINGDATAARERELEVANTTOTHEDATAMINERC213SINTERESTHENCE,ANYSIMPLEBRUTEFORCESEARCHMETHODFORMISSINGDATAISNOTONLYINFEASIBLEFORAHUGEAMOUNTOFDATA,BUTALSOHELPLESSWHENTHEDATAMINERISTOIDENTIFYPROBLEMS,ORDEVELOPCONCEPTS,THROUGHDATAMININGTOIDENTIFYPROBLEMSORDEVELOPCONCEPTS,THEDATAMINERNEEDSATOOLTOOBSERVEUNSUSPECTEDPATTERNSOFTHEAVAILABLEDATAANDTHEMISSINGPARTSSELFORGANIZINGMAPSSOM12HAVEBEENWIDELYUSEDFORCLUSTERING,SINCESOMAREMORECOMPUTATIONALLYECIENTTHANTHEPOPULARKMEANSCLUSTERINGALGORITHMMOREIMPORTANTLY,SOMPROVIDEDATAVISUALIZATIONFORTHEDATAMINERTOVIEWHIGHDIMENSIONALDATA11RESEARCH14,16314SWANG,HWANG/DATAJVMIWHEREVMIJISTHENUMBEROFMISSINGVALUESINBOTHVARIABLESIANDJ,ANDVMIISTHENUMBEROFMISSINGVALUESINVARIABLEITHISCONCEPTDISCLOSESTHECORRELATIONOFTWOVARIABLESINTERMSOFMISSINGVALUESTHEHIGHERTHEVALUEVMIJVMIIS,THESTRONGERTHECORRELATIONOFMISSINGVALUESWOULDBE44CONDITIONALEECTSTHECONCEPTOFCONDITIONALEECTSREVEALSTHEPOTENTIALCHANGESOFTHECLUSTERSIDENTIEDIFTHEMISSINGVALUESHADCOMPLETEDC5DPJ8ZIKWHEREDPISTHECHANGESOFTHECLUSTERSPERCEIVEDBYTHEDATAMINER,8ZIREPRESENTSALLMISSINGVALUESOFVARIABLEI,ANDKISTHEPOSSIBLEVALUEVARIABLEIMIGHTHAVEFORTHESURVEYTYPICALLY,KFMAXMINPGWHEREMAXISTHEMAXIMALVALUEOFTHESCALE,MINISTHEMINIMALVALUEOFTHESCALE,ANDPISTHERANDOMVARIABLEWITHTHESAMEDISTRIBUTIONFUNCTIONOFTHEVALUESINTHECOMPLETEDATABYSETTINGDIERENTPOSSIBLEVALUESOFKFORTHEMISSINGVALUES,THEDATAMINERISABLETOOBSERVETHECHANGESOFCLUSTERSANDREDENETHEPROBLEMINSUMMARY,CONCEPTUALCONSTRUCTIONONINCOMPLETEDATAISAKNOWLEDGEDEVELOPMENTPROCESSTOCONSTRUCTNEWCONCEPTSONINCOMPLETEDATA,THEDATAMINERNEEDSTOIDENTIFYAPARTICULARPROBLEMASABASEFORTHECONSTRUCTIONFOURCONCEPTSONMISSINGDATAARERELIABILITY,HIDING,COMPLEMENTING,ANDCONDITIONALEECTSNEXT,WEDEVELOPASETOFQUERIESFORCONCEPTUALCONSTRUCTIONONINCOMPLETEDATAOUROBJECTIVEOFTHESEQUERIESISTOALLOWTHEDATAMINERTOCONDUCTTHEEXPERIMENTALPROCESSTHROUGHTHEUSEOFSOMINORDERTOCONSTRUCTNEWCONCEPTSRELATEDTOTHEPROBLEM5QUERYPROCESSINGFORCONCEPTUALCONSTRUCTIONQUERYTOOLSARECHARACTERIZEDBYSTRUCTUREDQUERYLANGUAGESQL,THESTANDARDQUERYLANGUAGEFORRELATIONALDATABASEMANAGEMENTSYSTEMSFORDATAMINING,ASTHEULTIMATEOBJECTIVEOFINFORMATIONRETRIEVALFROMTHEDATABASEISTHEFORMULATIONOFKNOWLEDGETHROUGHTHEUSEOFAVARIETYOFTECHNIQUES,ITISUNLIKELYTHATASINGLESTANDARDQUERYLANGUAGECANBECREATEDFORALLPURPOSESOFDATAMININGNEVERTHELESS,TOSUPPORTHUMANCOMPUTERCOLLABORATIONEECTIVELY,VISUALIZEDQUERYPROCESSINGISNECESSARYINDATAMINING5THISSTUDYDEVELOPSASETOFQUERYFUNCTIONSTHATASSISTTHEDATAMINERTOCONSTRUCTCONCEPTSRELATEDTOTHEMISSINGDATATHROUGHTHEC3VMIJXJABWHEREVMIISTHENUMBEROFMISSINGVALUESINVARIABLEI,XJISTHEVALUEOFVARIABLEJ,ANDABISTHERANGEOFVALUESOFXJTHISINDEXDISCLOSESTHEDEGREEOFUNCERTAINTYOFANSWERSTOTHESURVEYQUESTION,SUCHASDONOTKNOWANDNEUTRAL,ORTHEINTENTIONOFSYSTEMATICALMISSINGDATA,SUCHASDONOTWANTTOTELL43COMPLEMENTINGTHECONCEPTOFCOMPLEMENTINGREVEALSWHATVARIABLESAREMORELIKELYTOHAVEMISSINGVALUESAT316SWANG,HWANG/DATAJVMI57FINDC5DPJ8ZIKTHISQUERYFUNCTIONALLOWSTHEDATAMINERTOREPLACETHEMISSINGVALUESWITHHYPOTHETICALVALUES,ANDOBSERVETHECHANGESOFTHECLUSTERSTHEHYPOTHETICALVALUESCOULDBEANYBETWEENTHEPOSSIBLEMAXIMALANDMINIMALVALUESINSTEADOFRETURNINGASPECICNUMBER,THISQUERYFUNCTIONRETURNSVARIOUSMAPSFORTHEDATAMINERTOCOMPARETHECLUSTERSUSINGDIERENTKVALUESBASEDONWHATIFTRIALS,THEDATAMINERISABLETOPERCEIVETHEIMPACTSOFTHEMISSINGVALUESONTHETHISQUERYFUNCTIONALLOWSTHEDATAMINERTONDTHECORRELATIONOFTHEMISSINGVALUESINTWOVARIABLESUSINGTHISQUERY,THEDATAMINERRSTCHOOSESTWOVARIABLESTOBEINVESTIGATEDTHATARERELEVANTTOTHEPROBLEM,ANDTHENNDSOUTHOWOFTENTHETWOVARIABLESMIGHTHAVEMISSINGVALUESTOGETHERTHETWOVARIABLESTHATMIGHTHAVECORRELATIONOFMISSINGVALUESANDTHERANGEOFTHEKNOWNVALUESINONEVARIABLE,ANDRECEIVESTHENUMBEROFOBSERVATIONSWITHMISSINGVALUESINTHEOTHERVARIABLETHEDATAMINERMIGHTBEINTERESTEDINAPARTICULARVARIABLEUSINGTHISQUERY,THEDATAMINERISALLOWEDTOCHECKWHETHERTHECLUSTERSOBSERVEDARERELIABLEINTERMSOFTHEPARTICULARVARIABLE55FINDC3VMIJXJABTHISQUERYFUNCTIONALLOWSTHEDATAMINERTONDTHECORRELATIONOFTHEMISSINGVALUESINONEVARIABLEANDTHEVALUERANGEINANOTHERVARIABLETHISCORRELATIONPROVIDESKNOWLEDGEAFTERCHOOSINGVARIABLESANDIDENTIFYINGCLUSTERSTHROUGHSOM,THEDATAMINERWOULDLIKETOKNOWHOWRELIABLEOFTHEOBSERVEDCLUSTERSARETHISQUERYALLOWSTHEDATAMINERTONDSMSCINTHEVARIABLESUSEDFORTHESOMTRAININGIFTHEVALUESMSCISHIGH,THEDATAMINERCANNDTHERELIABILITYFORINDIVIDUALVARIABLES,ASDESCRIBEDNEXT52SAVEANDRETRIEVETHESOMTHISQUERYISAGENERALOPERATIONFORSAVINGANDRETRIEVINGTHESOMALONGWITHALLTHESETTINGFORPARAMETERS,VARIABLESOFTHEDATASAMPLESTHEDATAMINERISALLOWEDTOCOMPAREANUMBEROFSOMRESULTSTOCONSTRUCTCONCEPTSONINCOMPLETEDATA318SWANG,HWANG/DATASPECICALLY,THETEXTBOOKSDONOTGIVEMUCHHELPALTHOUGHV20HASTHEHIGHESTRATEOFMISSINGVALUES,MISSINGVALUESDONOTHAVEASIGNICANTIMPACTONTHEPROBLEMIDENTIEDINTHISCASE,V20HADTHEHIGHESTRATEOFMISSINGVALUES86THEDATAMINERWOULDLIKETOSEEPROBLEMIDENTIED320SWANG,HWANG/DATA016JV202021JV203028JV204024JV205GFORTHECOMPLETEDATAAFTERSETTINGTHESEVALUESFORTHEMISSINGVALUESOFV20,NEWTRIALDATAWEREUSEDFORSOMTOGENERATEMAPSUSINGTHESAMETOPOLOGYOFTHESOMFORTHECOMPLETEDATA,THEWHATIFTRIALSWERECONDUCTEDASSHOWNINFIG3,THEOVERALLCONCLUSIONINTHISCASEWASTHATTHEMISSINGVALUESINV20DIDNOTHAVESIGNICANTIMPACTONTHEANALYSIS,VARIABLESV1,V14,V16,V18,ANDV20THATRECEIVEDLOWVALUESWEREFOUNDTOBEPARTICULARLYRELEVANTTOTHEPROBLEMOFINEECTIVETEACHING,ASSUMMARIZEDINTHERSTTHREECOLUMNSOFTABLE1INCOMPLETEDATAWERETHENAPPLIEDTOCONSTRUCTNEWCONCEPTSOFTHEPROBLEM61C1SMSCALTHOUGHTHERATEOFINCOMPLETEOBSERVATIONSFORTHEENTIRESURVEYWASASHIGHAS37,SMSCINTERMSOFTHEVERYRELEVANTVARIABLESV1,V14,V16,V18,ANDV20WAS52,INDICATINGTHATTHEPROBLEMINITIALLYIDENTIEDWASGENERALLYVALID62C2VMIVCIAMONGTHEVEVARIABLES,THERATEOFMISSINGVALUESINV20WASTHEHIGHESTAT86,INDICATINGTHATTHEDEPENDABILITYOFINEECTIVETEACHINGONTHISVARIABLEIE,THEUSEFULNESSOFTHETEXTBOOKANDTEACHINGMATERIALMIGHTNOTBEASRELIABLEASOTHERVERYRELEVANTVARIABLES63C3VMIJXJABTHERATEOFMISSINGVALUESINV16WAS22HOWEVER,521OFTHEMISSINGVALUESCAMEFROMTHEOBSERVATIONSWITHXV151,3THISINDICATEDTHATSTUDENTSWHOWERENOTSATISEDWITHPROMPTGRADINGOFTENDISREGARDEDWHETHERTHEYRECEIVEDHELPFULCOMMENTSFORTHEIRWORK64C4VMIJVMITHERATEOFMISSINGVALUESOFV14WAS37HOWEVER,THEMISSINGVALUESOFV14ANDV10WEREHIGHLYCORRELATEDWITHVMV14V10VMV14336THISINDICATEDTHATSTUDENTSWHOOMITTEDTHEOPINIONONTHELEARNINGEXPERIENCEFROMTHECOURSEOFTENDISREGARDEDWHETHERTHETESTSORASSIGNMENTSWEREAPPROPRIATELYDESIGNED65C5DPJ8ZIKANEXPERIMENTALTESTOFTHEPROPOSEDMETHODCLEARLY,THESCALEOFDATAMININGINTHISCASESTUDYISCEPTUALCONSTRUCTIONONINCOMPLETEDATAUSINGTHESEQUERYFUNCTIONS,THEDATAMINERISALLOWEDTOCONSTRUCTNEWCONCEPTSRELATEDTOTHEPROBLEMIDENTIEDFORDATAMININGTHROUGHTHEREALWORLDCASE,I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