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NewversionsofPageRankemployingalternativeWebdocumentmodels1MikeThelwallSchoolofComputingandInformationTechnology,UniversityofWolverhampton,35/49LichfieldStreet,WolverhamptonWV11EQ,UKm.
thelwall@wlv.
ac.
ukLiwenVaughanFacultyofInformationandMediaStudies,UniversityofWesternOntario,London,Ontario,N6A5B7,Canadalvaughan@uwo.
caKeywords:WebIR,PageRank,hyperlinkanalysis,searchenginesAbstractWeintroduceseveralnewversionsofPageRank(thelinkbasedWebpagerankingalgorithm),baseduponaninformationscienceperspectiveontheconceptoftheWebdocument.
AlthoughtheWebpageisthetypicalindivisibleunitofinformationinsearchengineresultsandmostWebinformationretrievalalgorithms,otherresearchhassuggestedthataggregatingpagesbasedupondirectoriesanddomainsgivespromisingalternatives,particularlywhenWeblinksaretheobjectofstudy.
ThenewalgorithmsintroducedbaseduponthesealternativeswereusedtorankfoursetsofWebpages.
Therankingresultswerecomparedwithhumansubjects'rankings.
Theresultsofthetestsweresomewhatinconclusive:thenewapproachworkedwellforthesetthatincludespagesfromdifferentWebsites;however,itdoesnotworkwellinrankingpagesthatarefromthesamesite.
Itseemsthatthenewalgorithmsmaybeeffectiveforsometasksbutnotforothers,especiallywhenonlylownumbersoflinksareinvolvedorthepagestoberankedarefromthesamesiteordirectory.
IntroductionCommercialsearchenginesareakeyaccesspointtotheWebandhavethedifficulttaskoftryingtofindthemostusefulofthebillionsofWebpagesforeach–typicallyshort(Spinketal.
,2001)–userqueryentered.
Probablythetaskismostdifficultwhenmillionsofpagescontainthequeryterm(s)andthesemustbeorderedsothattheuserispresentedwiththemostlikelyones.
Google'sPageRank(BrinandPage,1998)wasanattempttoresolvethisdilemmabasedupontheassumptionsthat:(1)moreusefulpageswillhavemorelinkstothemand(2)linksfromwelllinkedtopagesarebetterindicatorsofquality.
ThecontinuedriseofGoogletoitscurrentdominantposition(Sullivan,2002)andtheproliferationofotherlinkbasedalgorithms(e.
g.
Kleinberg,1999;CrestaniandLee,2000;Ngetal.
,2001;AltaVista,1Thelwall,M.
&Vaughan,L(2004).
NewversionsofPageRankemployingalternativeWebdocumentmodels.
ASLIBProceedings,56(1),24-33.
12002)seemstomakeanunassailableargumentforthePageRankalgorithm,despitethepaucityofclearcutresults(e.
g.
Hawkingetal.
,2000;SavoyandPicard,2001).
ModernWebIRalgorithmsareprobablyahighlycomplexmixtureofdifferentapproaches,perhapsoptimisedusingprobabilistictechniquestoidentifythebestcombination(e.
g.
Gaoetal.
,2001;XiandFox,2001;TsikrikaandLalmas,2002;SavoyandPicard,2001).
Itisnotpossibletobedefinitiveaboutcommercialsearchenginealgorithms,however,sincetheyarekeptsecretapartfromthebroadestdetails.
InfactacademicresearchintoWebIRisinastrangesituationsinceresearchbudgetsanddatasetscouldbeexpectedtobedwarfedbythoseofthecommercialgiants,whoseexistencedependsuponhighqualityresultsinanincrediblycompetitivemarketplace.
OnepaperthatcomparedthetwofoundthattheacademicsystemswereslightlybetterbuttheauthorsadmittedthatthetaskswereuntypicalforWebusers(Hawkingetal.
,2001a).
Nevertheless,Googleisonecaseamongstmanyofsearchalgorithmsgainingfromapproachesanddevelopmentsininformationscienceingeneralandbibliometricsinparticular.
Thealternativedocumentmodels(Thelwall,2002a)areanexampleofatheoreticalapproachfrominformationsciencethatmaybringbenefitstoWebIR.
TheprinciplebehindthesemodelsisthatWebpagesoftennaturallyclusterintorecognisabledocumentsbaseduponthedirectoryordomainthattheyarein.
Whenworkingwithlinksitcanoftenmakesensetoutiliseadirectoryordomainlevelofaggregation,especiallyifeachindividualpagecontainsasetofidenticallinks,perhapsinastandardnavigationbar.
Theresultofaggregationinsuchacasewouldbetheremovalofallduplicatelinks,givingamoreappropriatelinkcount.
Thisapproachhasbeenshowntogiveimprovedacademiclinkmetrics(Thelwall,2002a;ThelwallandTang,2003;ThelwallandWilkinson,2003;ThelwallandHarries,2003).
Furthersupportforthesemodelsisgivenbytheirabilitytocluster(setsof)Webpagesindifferentandnon-trivialways(Thelwall,2003).
Anaturalquestion,therefore,iswhetherWebIRalgorithmscanbenefitfromthealternativedocumentmodels.
Inthispaper,newversionsofPageRankwillbeintroducedusingalternativedocumentmodels.
TheeffectivenessofthesenewrankingalgorithmswillbecomparedagainstthatofthestandardPageRank.
Humanrankingjudgementwillbeusedasthebenchmarkagainstwhichtocomparedifferentalgorithms.
VersionsofPageRankbasedonthealternativedocumentmodelPageRankwasdevelopedbythefoundersofGoogle,SergeyBrinandLawrencePage(1998).
Thegeniusoftheapproachisthatthealgorithmissimpleandintuitive,yetadmitsamathematicalimplementationthatscalestothebillionsofpagescurrentlyontheWeb.
Forourpurposes,sincewearenotmodifyingthemathematicalalgorithmofPageRankbutonlythedocumentspaceuponwhichitisapplied,wewilldescribetheprincipleofPageRankbutnotthedetailsofitsimplementation.
TheprecisedetailsofthemathsandfurtherdescriptionscanbefoundintheoriginalPageRankpaper(BrinandPage,1998)aswellasseveralotherrelatedpapers(Haveliwala,1999;Lifantsev,2000;Ngetal.
,2001;Thelwall,2002b).
EssentiallytheapproachusedbyPageRankcanbedescribedwithavotingmetaphor.
Atthestartoftheprocess,eachWebpageisallocatedavotep.
Forexample,eachpagemaybeallocatedthesamevalue0.
1.
EachpagethensharesafractionofαPageRankwereused.
Incontrast,apurelytext-matchingalgorithmwouldhavegreatdifficultyindecidingwhichpagecontainingthematchingtextwasthemostrelevant.
AcriticismoftheoriginalPageRankisthatmanypagesreceiveahighnumberoflinksforreasonsotherthantheirquality.
Forexample,somesiteshaveastandardnavigationbaroneachpage,allcontainingalinktothehomepageandafewotherpages.
Forthesiteitself,thisprobablydoesservetoindicatethemostusefulpages,butrelativetoothersitesthetotalnumberofpagescontainingthelinkbarwillbecriticaltodeterminethefinalPageRankofthetargetedpages,meaningthatlargersiteswillautomaticallyrankhigher.
Ithasalsobeennotedthatlinksbetweenpageswithinasitearetypicallyfornavigationpurposes,andthereforearelessreliableasindicatorsoftargetpagequalitythanlinksbetweensites.
Moreover,navigationbarssometimescontainlinkstoothersitesandonesiteoftencontainsmultiplelinkstoanotherforreasonsthatarenotrelatedtotargetsitequality.
AllofthesefactorsunderminetheeffectivenessofPageRankasanindicatorofthequalityofthepage.
Anadditionalproblemistheorganisationofinformationbysite,domainordirectory.
Forexample,asitecontainingmuchhighqualityinformationmayreceivemanylinkstoitshomepage,whereasitsactualcontentisontensofthousandsofotherpagesunderthehomepage,mostofwhichdonotreceivemanylinks.
AcaseinpointforthisistheMicrosoftsitethatincludesanenormousbodyofauthoritativeinformationspreadovermanypages.
Intheory,linkstothehomepagewillredistributethroughthelayersofasitetothesecontentcarryingpages,butinpracticethisdoesnotwork(Thelwall,2002b)andsothecontentpageswillnotreflecttheprestigeofthehostingsite.
Thisisanargumentforincludinginrankingmeasuresanassessmentofthesiteasawholeinadditiontotheindividualpages.
AsimilarargumentcanbemadeforanycoherentclusterofWebpageswitharecognisablehomepage.
Basedupontheargumentsmadeabove,theclaimisthatPageRankcanbeimprovedbyincorporatingrankingsofapagebaseduponitshostingsite,domainanddirectory.
Aprecisedefinitionofdocumentmodelsbasedupontheselevelsofaggregationisgivenbelow(takenfromThelwall,2002a).
IndividualWebpage.
EachseparateHTMLfileistreatedasadocumentforthepurposesofextractinglinks.
EachuniqueURLinalinkistreatedaspointingtoaseparatedocumentforthepurposesoffindinglinktargets.
URLsaretruncatedbeforeanyinternaltargetmarker'#'characterisfound,however,toavoidmultiplereferencestodifferentpartsofthesamepage.
3Directory.
AllHTMLfilesinthesamedirectoryaretreatedasasingledocument.
AlltargetURLsareautomaticallyshortenedtothepositionofthelastslash,andlinksfromdifferentpagesinthesamedirectoryarecombinedandduplicateseliminated.
Domainname.
AsaboveexceptallHTMLfileswiththesamedomainnamearetreatedasasingledocumentforbothlinksourcesandlinktargets.
Inparticular,thisclusterstogetherallpageshostedbyasinglesubdomainofauniversitysite.
University.
Asaboveexceptthatallpagesbelongingtoauniversityaretreatedasasingledocumentforbothlinksourcesandlinktargets.
ApplyingPageRanktothesemodelsmeansallocatingvotesattheappropriatedocumentlevelanddistributingthemaccordingtolinksidentifiedasabove.
Forexample,inthecaseofthedomain-basedPageRank,itwouldstartwithavotepbeingallocatedtoeachdirectoryandthenafractionαofitbeingredistributedequallytoalldirectoriesthatarelinkedtobythisdirectory.
Theextrabonusvote(1-α)pwouldalsobeallocatedtoeachdirectory.
Subsequentvotingroundswouldthenfollowthesameprinciple.
StandardPageRankisbasedonthepagelevelmodeldescribedabove.
Weintroducethreenewalgorithms:PageRankusingthedirectory,domainanduniversitydocumentmodelswiththeadditionalmodificationthatonlylinksbetweendifferentsites(inourcaseuniversities)willbeused.
Thisisbaseduponthehypothesisthatlinksinsideasiteareprimarilyfornavigationpurposes,whereaslinkstoexternalsitesaremorereliableasindicatorsoftargetquality.
ThevariantswillbecalledintersitedirectoryPageRank,intersitedomainPageRankandintersiteuniversityPageRank.
ItwouldalsobepossibletoapplyPageRanktothepagemodelafterexcludinginternalsitelinks,butthiswouldnotbeeffectivesincerelativelyfewpagesaretargetedbyothersitesandsoalmostallpageswouldberankedlast.
LiteratureReviewWebIRalgorithmsAlthoughthemaintaskoftheearlysearchenginessuchastheWorldWideWebWorm(Chun,1999)wastofindWebpages,therapidgrowthoftheWebmeantthattechnicaldevelopmentquicklyswitchedtofindingthemostrelevantpagesforuserqueries.
Thisleadtoincreasinglyrefinedtextmatchingtechniques,suchaslatentsemanticindexing(Deerwesteretal.
,1990)wherethequerytermsdonothavetobeinthepageforittoberetrieved,butwithlinkbasedalgorithms,suchasGoogle'sandKleinberg's,therelationshipbetweenpagesandthosesurroundinghasbecomeimportant.
ThesuccessoflinkapproacheshasnotbeenreplicatedinthecomputerscienceTRECtasks,however,perhapsduetoanuntypicaltestcorpusused,oruntypicaltasks(Hawkingetal.
,2000).
Anothertrendisfortheapplicationofmultipletechniquesinablendtoobtainoptimalresults.
Forexample,textmatchingcanbecombinedwithlinkalgorithmsandURLstructureheuristicsinordertoidentifyhomepages,animportanttask,asreflectedinitsinclusionintheTRECWebtrack.
Variousmethodsareavailabletoidentifythebestweightingstousetocombinethesealternativetechniques(e.
g.
Gaoetal.
,2001).
Oneside-effectofthis,however,isthattheconstructionofanefficientpieceofsoftwarewillnotleadtoclearresultsabouttheusefulnessofanyoneofthecomponentsofitsalgorithm.
Conversely,evaluatingoneapproachonitsown,whilstyieldingsuchresults,willnotyieldanoptimalsystem.
Oneimplicationofthisisthat4researchintoindividualcomponentscanincreasinglybeseenasinformationscienceratherthancomputerscience.
OthervariationsofPageRankSeveralvariationsorgeneralisationsofPageRankhavebeensuggested.
Infactitsoriginatorssuggestedafewmodificationsattheoutset,includingusinganon-uniformpatternofinitialvotessothatPageRankcouldbepersonalisedtotheuser,bygivingtheirvaluedpageshigherinitialpvalues(BrinandPage,1998).
ThisapproachcanalsobeusedtoalterthePageRankresultsthroughtheinclusionofanothersourceofinformationaboutpagequality.
BharatandMihaila(2001)developedanewversionofPageRankanddemonstratethroughuserevaluationsthatitsperformanceiscomparablewiththestandardPageRank.
Lifantsev(2000)developedageneraltheoreticalmodelforapplyingvariantsofthePageRanktechnique.
Haveliwala(1999)developedcomputingtechniquestoapplystandardPageRanktosmallerplatforms.
Meghabghab(2002)proposedaversionbaseduponinandoutdegreesofnodes,butthisdidnotproduceimprovedresults.
RichardsonandDomingos(2001)developedacombinationofPageRankwithcontentinformation,andprobablythisiswhatGoogledoesalready.
SearchenginequalityevaluationtechniquesAlthoughmanymeasureshavebeenusedtoassesstheretrievalresultsofasearchengine(e.
g.
Hawkingetal.
,2001a)theconcerninthisstudyisonlywithevaluatingasearchengine'sabilitytorankthepagesretrievedonaparticulartopic.
Asaresult,thenormalquestionsofprecision(thepercentageofpagesreturnedthatarerelevanttothetopic)andrecall(thepercentageofrelevantpagesfoundontheWeb)donotapply,sincethesearetypicallybaseduponbinarydecisionsofrelevanceandnotonrelativemeritsofthepagesthemselves.
Forexample,TRECtypeevaluationsfocusonwhethereachpagedoesmatchthecriteriaofthesearchratherthanonthequalityofthepagecontent.
Evaluationofrankingperformancehasactuallybeenaparticularlytroublesomeandcontroversialaspectofsearchengineresearch.
Manypapersdescribingadvanceshavegivenanecdotalratherthanformalevaluations(BrinandPage,1998).
TherelevanceofthedocumentsinTRECtopicsareformallyevaluatedinbatchesbyagroupofhumans(Hawkingetal.
,1999)butthisapproachhasbeencriticisedonthegroundsthatonlyarealenduserofinformationcansuccessfullyevaluateretrievalresults(GordonandPathak,1999).
Anotherapproach,unavailabletomostresearchers,istoanalysesearchenginelogfilestominesearchpatterns(e.
g.
Spinketal.
,2001).
Commercialsearchenginesprobablyemployacombinationofevaluationmethodsbutnoneareidealbecauseof(a)thediversityofinformationontheWeband(b)thedifficultyofgettingagroupofuserstoevaluateasimilarsetofresultsinawaythatisnotartificial.
Asaresult,anyevaluationprocesswillnecessarilybeacompromisebutthetaskoftheresearcheristoovercometheseobstaclesaseffectivelyaspossible.
ResearchquestionsThequestionsaddressedarewhetheranyofthefollowingalternativeversionsofPageRankproducesimprovedrankingsoverstandardPageRank.
PageRankwithinternalsitelinksexcludedandbasedupon:5thedomain,thedirectory,ortheuniversitydocumentmodel.
FoursetsofWebpagesonfourdifferenttopicswereselectedforthestudy(detailsofthechoiceofpagesarebelow).
Eachsetofpageswasrankedbyhumansubjects(detailsbelow).
DifferentversionsofPageRankalgorithmwereusedtorankeachsetofpagesandtherankingresultscomparedwiththatofhumansubjects.
Thealgorithmthatgeneratesarankingclosertothehumanrankingisconsideredtobebetter.
DataCollectionSubjectsofthestudySubjectsofthestudywerestudentsenrolledontheInformationRetrievalcourse,partoftheMasterofLibraryandInformationSciencedegree,inthesummertermof2002attheFacultyofInformationandMediaStudies,UniversityofWesternOntario,Canada.
OneoftheassignmentsofthecoursewastorankasetofWebpagesandthencomparetherankingagainstthosegeneratedbydifferentsearchalgorithmstogainanunderstandingofsearchalgorithmsandsearchengines.
Twenty-fourstudentsonthecourseweredividedrandomlyintofourgroupsofsixpeopleeach.
EachgroupwasgivenasetofWebpagesonaparticulartopic(detailsbelow)andeachstudentindependentlyrankedthepagesinthewaythathe/shethoughttheyshouldberankedinasearchoutput.
Thegroupthenmetandexchangedtheirrankingaswellasthecriteriausedintheranking.
Eachstudentthendidanotherroundoftherankingbasedonthediscussionwithothergroupmembers(theycouldchoosenottochangetheirrankingfromthefirstroundofexercise).
Studentsthenproceededwiththeotherpartsoftheassignmentthatwerenotdirectlyrelatedtothestudy.
Forthepurposeofthisstudy,studentrankingresultswereaggregated(detailsindataanalysisbelow)andusedasthebenchmarkagainstwhichtocomparerankingresultsfromdifferentPageRankalgorithmsunderinvestigation.
Basedontheethicalprincipleofvoluntarilyparticipation,studentsweregiventhechoiceofallowingtheirrankingdatatobeusedforthestudyornot.
Allstudentsonthecoursegavepermissiontousetheirdataforthestudy.
ChoiceofpagesetsBecauseallsubjectsinthestudywereCanadiangraduatestudents,thetopicsofthepagestoberankedwereallchosentoberelatedtoCanadianuniversitylifesothatstudentswereknowledgeableaboutthesubjectandwerecompetenttorankthepages.
Thefollowingfourtopicswereselected:1.
OntarioGraduateScholarshipinScienceandTechnology(referredtoasOGSbelow).
2.
SocietyofGraduateStudiesattheUniversityofWesternOntario(referredtoasSOGSlater).
3.
OmbudspersonofficeattheUniversityofWesternOntario(ombudspersonforshort).
4.
AdmissionrequirementsfortheMBAprogramattheUniversityofToronto(MBAforshort).
6AsetofWebpagesoneachtopicwereretrievedusingthreesearchengines(Google,AltaVista,andTeoma)andthetop10pagesretrievedbyeachengineweremergedtoformthesetofpagesforthatparticulartopic.
Asaresult,therewereabout20pagesineachsettoberanked.
Whenperformingthesearchonthesearchengines,restrictionsbydomainswereimposedtoavoidtheinclusionoftotallyirrelevantpages.
Forexample,thesearchofpagesonSOGSwasrestrictedtothedomainofwww.
uwo.
ca(theuniversity'sURL)sothatirrelevantpagesthathappenedtohavethewordSOGSwerenotlikelytoberetrieved.
Therankingofthesepagesbythesearchengineswerenotrevealedtothesubjectsbeforetheydidtherankingtoavoidpossiblebias.
DataforcalculatingPageRankscoresAsexplainedabove,thecalculationofPageRankscoresarebasedonthelinkinginformationamongpages.
SearchenginessuchasGoogleuselinkstructuresamongallpagesintheirdatabasetocalculatethePageRankscores.
Forthepurposeofthisstudy,auniverseofpagesmustbedefinedonwhichtobasethecalculationofPageRankscores.
ItwasdecidedtouseallCanadianuniversityWebpagestobesuchauniversebecause:(1)itisimpossibletocoverallpagesontheWebforaproject;(2)allpagestoberankedareaboutCanadianuniversitiessothelinkstothesepagesaremostlikelytocomefromotherCanadianuniversities;(3)itisfeasibletocrawlthisnumberofpages(3,930,113intotal)andrecordtheirlinkinginformation.
Theunderlyingassumptionofthisdatacollectionmethodisthatsimilarresultswouldbeobtainedifafullsearchenginedatabaseweretobeused.
Althoughthisassumptionisimpossibletoverify,itissupportedbytherobustnessofthePageRankalgorithm(Ngetal.
,2001).
Inanycase,theperformanceofPageRankonanyconceptuallycoherentsetofpagesisofinterestandappropriate.
TheURLsofallCanadianuniversitieswereobtainedfromanonlinelist(AssociationofUniversitiesandCollegesofCanada,2002)andtheexhaustivityofthesetverifiedandsupplementedusinganunrelatedprintmediasource(Johnston,2002).
Thelistincludedallfulluniversitiesaswellasaffiliatedcolleges.
EachuniversityWebsitewasthencrawledbyaspecialistinformationscienceWebcrawler(Thelwall,2001a)torecordlinkinformation.
Thecrawlerwasdesignedtocoversitesaccurately,checkingforduplicatepagesexhaustively.
Thecrawlercannormallyonlyfindpagesbyfollowinglinksiterativelyfromthehomepageandsopagesthatwerenotlinkedtowouldnothavebeencovered.
Twoexceptionsweremade,however.
Firstly,someuniversities'homepagesdidnotcontainanyHTMLlinksandsoastandardcrawlwouldreturnonlyonepage.
Inthesecasesapageoflinkstoalldepartmentalhomepageswassoughtandusedasanalternativestartingpoint.
Secondly,theURLsofthefoursetsofpagesusedinthestudywerepreloadedintothecrawlertoensurethattheywouldbecovered,evenifnolinkstothemhadbeenfound.
Someareaswereexcludedonthebasisofbeingmirrorsitesorhugeonlinedatabaseswithonlyinternallinks.
Thecrawlingwasconductedinthesummerof2002,shortlybeforethepagesfortheexperimentwererankedbythestudents.
DataAnalysis7Asdiscussedin'Datacollection',eachsubjectrankedthesetofpagestwice.
Thesecondroundofranking,afterthegroupdiscussion,representsthefinalrankingdecisionandwasthususedfordataanalysis.
Only9outof24subjectschangedtheirrankingfromthefirstroundandmostchangesareminorinvolvingonlyafewpages.
Theaverageofthesixgroupmembers'rankingwastakentorepresenthumanrankingforthatsetofpages.
Althoughindividualstudent'srankingsdiffered,theyweremostlycorrelatedwitheachother,whichprovidessomeassuranceofthereliabilityofthehumanrankingdata.
TherankinggeneratedbyeachPageRankalgorithmwascorrelatedwiththehumanrankingtoseewhichalgorithmwasbetter(i.
e.
closertohumanranking).
TheSpearmancorrelationcoefficienttestwasusedbecausethehumanrankingscoresareobviouslyordinaldata.
ResultsTheresultsofcorrelationtestsaresummarizedinTableI.
Thefoursetsofpagesarelabelledwiththeiracronyms(see'Choiceofpagesets'aboveforadetaileddescriptionofthecontentofeachset).
ThefirstcolumnofdatainTableIgivesthecorrelationcoefficientsbetweenhumanrankingandtherankingbythestandardPageRank.
TheothercolumnsshowthecorrelationbetweenhumanrankingandtherankinggeneratedbyvariousversionsofPageRankemployingalternativedocumentmodels.
Thecolumnlabelled'directory'representsthePageRankusingthedirectoryleveldocumentmodel.
Thecolumnslabelled'domain'and'university'areforPageRanksusingdomainlevelanduniversityleveldocumentmodelsrespectively.
TableICorrelationsbetweenhumanrankingandrankingbyalgorithmsPageSetStandardPageRankIntersitedirectoryPageRankIntersitedomainPageRankIntersiteuniversityPageRankOGS-0.
08-0.
060.
320.
05Ombudsperson0.
600.
63N/AN/AMBA0.
2-0.
14-0.
29N/ASOGS0.
27N/AN/AN/ATheN/AsigninTableImeansthatPageRankscoresarethesameoralmostthesameforallpagesinthesetandthuscorrelationcoefficientcannotbecalculated.
ItshouldbenotedthatthepresenceofsomanyN/AsignsinTableIshouldnotbeinterpretedtomeanthatthealternativedocumentmodelswouldfrequentlynotprovideusefulPageRankdata.
Itistheresultofthewaythatthepageswereselected.
Recallthatrestrictiontoaspecificdomainwasnecessarywhenformingthepageset.
Forexample,theSOGSpagesetwasretrievedexclusivelyfromthedomainofwww.
uwo.
ca.
InfacttheuniquewordSOGScausedtheretrievedpagestoallcomefromthesamedirectorywww.
uwo.
ca/sogs/.
ThisexplainswhyPageRankbasedonthedirectory,domain,anduniversitylevelcannotprovidedatathatdistinguishespageswithinthisset.
Forthisreason,thissethadtobeomittedfromthetestsofalternativedocumentmodels.
CorrelationcoefficientsthatarestatisticallysignificantareshowninboldfaceinTableI.
ThestandardPageRankhadasignificantcorrelationforonlyoneoutofthefoursetsofpagesusedinthestudy,theombudspersonset.
PageRankbasedonthe8directoryleveldocumentmodelshowedaslightimprovementoverthestandardmodel.
TheonlypagesetthatisappropriatetotestthealternativedocumentmodelistheOGSsetbecausenorestrictiontoaparticularuniversity'sdomainwasimposedwhenformingthisset(OntarioGraduateScholarshipisnotrestrictedtoaparticularuniversity).
Asaresult,pageswithinthissetcomefromdifferentuniversitiesandthealternativedocumentmodelswereabletodistinguishthesepageswell.
Forthisset,thestandardPageRankalmostrankedthepagesinthedirectionoppositetothatbyhumansubjects(themeaningofthenegativecorrelation).
PageRankbasedonthedomainleveldocumentmodelshowsanadvantageoverthestandardmodelwhiletheuniversitylevelmodelshowedonlyaveryslightimprovement.
ResultsfromtheMBAsetcameasasurpriseinthatthealternativedocumentmodelsshoweddisadvantageoverthestandardPageRankmodel.
Itisnotclearwhetheritisananomalouscaseorwhetherthealternativedocumentmodelsarenotappropriateinsomecases.
OnepossibleexplanationforthefailureinthispagesetisthatthePageRankscorescalculatedforthissetarenotreliable.
RecallthatthePageRankscoresarecalculatedfromthedatabasethatincludesallCanadianuniversityWebpages.
TheMBApagesetiscentredaroundtheWebsiteoftheBusinessSchooloftheUniversityofToronto.
DuetothenatureoftheSchool,therearemanylinkstotheWebsitethatarenotfromotherCanadianuniversities.
Forexample,asearchoflinkstothissiteusingAltaVistasearchenginesfoundoveronehundredlinksfrom.
comdomain.
ThePageRankcalculationmissedalltheselinksandisthereforebiased.
Thisproblemdoesapply,ornottothisextent,toothersetsoftestpagesinthestudy.
Forexample,theWebsitethattheombudspersonsetiscentredaroundonlyhasonelinkfromthe.
comdomain.
Futurestudiescanavoidthisproblembyamorecarefulexaminationofpagespriortotherankingexperiment.
DiscussionThestandardPageRankdoesnotseemtobeveryeffectiveinrankingWebpagesinthestudyasshownbythefactthatitsrankingscorrelatesignificantlywithhumanrankingsforonlyoneoutoffoursetsofpagestested.
AlternativeapproachesareneededtoimprovetheeffectivenessofPageRank.
ThestudyproposedandtestednewversionsofPageRankbasedonalternativedocumentmodels.
Althoughtheresultsfromthestudydonotprovideclearevidencethatthealternativemodelsarebetter,itshowedthatthesemodelshavesomepromise.
Infact,theresultsfromtheOGSpageset,theonlysetthatisappropriatetotestallthealternativedocumentmodels,showedasubstantialadvantageoftheintersitedomainPageRankoverthestandardPageRank.
Onefacthasemergedclearlyfromthisresearch:thatitisdifficulttoassessthequalityofWebrankingalgorithms,especiallythoseinvolvinglinks,andespeciallyforresearchersthatdonothaveaccesstoacrawlofasizeablepercentageoftheWeb.
Afullscientificevaluationwouldinvolvehugehumanandcomputingresources:ideallyarandomselectionofquerieswithresultsrankedbyarepresentativesetofusersforwhomthequeriesrepresentedrealinformationrequests.
Inordertobeabletochoosequeriesatrandom,accesstoamajorsearchengineserverloganditsdatabaseforcalculatingtherankingscoreswouldbeneeded.
TheTRECapproach(trec.
nist.
gov,Hawkingetal.
,2001b)toresolvingasimilarproblemisasensibleone:tohaveacentrallyorganisedandratedcollectionofpagesthataresharedforalgorithmtestingpurposesbyparticipatingresearchers.
However,thisdoesnotyetsatisfyourneedbecausethosepagesareassignedabinaryrelevancescorebutnotrankedbydegreeofrelevance.
Forthereasonsdiscussedabove,therankingtask9wouldbelikelytobemorecomplexandinvolvemoreandmoredifficultassessmentsthanthecurrentlyemployedbinaryrelevancejudgements.
OurcompromisewastochooseasmallsetoffourqueriesthatwererelevanttoafixedgroupofendusersandbelongedtoacoherentsubsetoftheWebthatcouldbecrawledandassumedtobesufficientlylarge(3,930,113pages)forrankingthepagesetschosen.
ThiswouldnotbeaproblemifinformationneedslinkcreationandinformationdistributionwereknowntobehighlyuniformandpredictableontheWeb,i.
e.
ifthechoiceoftopicforeachsetwereknownnottoinfluencetheeffectivenessofarankingalgorithm,butwebelievethatthisisnotthecase.
Onalargescale,linkpatternsappeartobereasonablypredictableinsomecontexts(Thelwall,2001b,2002a)andoveralargenumberofpagesitseemsintuitivelyclearthatthosewith,say,threelinkstothemwouldbe,onaverage,slightlybetterqualitythanthosewithonlytwo.
Nevertheless,linksarestilltypicallycreatedbyindividualsinanunsystematicfashionandnotsubjecttoanykindofqualitycontrol.
Asaresultitisdifficulttoclaimthatthreelinkstoapageislikelytoconsistentlyindicatebettertargetpagequalitycontentthantwo.
Thisismoreevidentifitisacknowledgedthatfactorsotherthanqualitycaninfluencelinkcounts,includingtargetpageage.
Asaresult,anygivenlink-basedrankingalgorithmislikelytobeeffectiveforsometopicsbutineffectiveforothers.
Moreover,withthelownumbersoflinkslikelytobeinvolvedinpagesforsometopics,itseemslikelythateventhemosteffectivealgorithmwouldregularlyfailforasignificantproportionofsearchtopics.
Therefore,itisprobablynotsurprisingthattheproposednewalgorithminthisstudydoesnotworkwellforallthesearchtopicsintheexperiment.
Futureresearchinthisareashoulddesignawiderrangeofsearchqueriesandavoidproblemsencounteredinthisstudy.
Insummary,itseemsthatonlyresearchersworkingfor,orinconjunctionwith,amajorsearchenginewouldbecapableoffullyassessingnewWebrankingalgorithms,andotherswillremainforcedtoextrapolatefromtheteststhattheyareabletorun.
ThemostpromiseforacademicresearchersprobablylieswithcentralisedinitiativessuchasTREC,although,ascanbeseenabove,thechoiceoftopicscanimpactonalgorithmsindifferentways,dependingonthedetailsoftheirworkings.
ConclusionsAlthoughthestudydidnotsucceedinprovidingadefiniteanswertotheresearchquestionsexamined,itprovidedsomeevidencethatthealternativePageRankalgorithmsproposedcouldhavethepotentialtoimprovethestandardPageRankmodel.
ThestudysucceededintestingWebIRalgorithmsusinganempiricalstudyinvolvinghumansubjects,adirectionthatwasnotfollowedbymanypreviousstudies.
TheultimatevalueofanyWebIRalgorithmliesonitsabilitytoservehumanneedsandthusthebestwaytotestthemistoseeiftheymatchthoseneeds.
FutureresearchwithalternativedocumentmodelbasedrankingalgorithmsshouldkeepthehumanrankingapproachofthestudybutdesignarangeoftestqueriesthatallinvolvepagesfromdifferentWebsites.
AcknowledgementWegratefullythankallstudentswhoparticipatedinthestudybygivingpermissionforustousetheirrankingdata.
Thestudywouldhavebeenimpossiblewithouttheirsupport.
References10AltaVista(2002),AltaVistaadvancedsearchtutorial–linkpopularity,availableat:help.
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