Research FEP WORKING PAPERS Work in FEP WORKING PAPERS Progress

n. 384, July 2010

Determinants of higher education students’ willingness to pay for violent reduction: a contingent valuation study

Mafalda Soeiro 111 Aurora A.C. Teixeira 222

111 Faculdade de Engenharia, Universidade do 2 CEF.UP, Faculdade de Economia, Universidade do Porto; INESC Porto; OBEGEF Determinants of higher education students’ willingness to pay for reduction: a contingent valuation study

Mafalda Soeiro Aurora A.C. Teixeira ♣

FaculdadeEngenhariadoPorto,Universidadedo CEF.UP;FaculdadeEconomiadoPorto,

Porto UniversidadedoPorto;INESCPorto;OBEGEF

Abstract

Byelicitinganindividual’sWillingnesstoPay(WTP)forareductionincrimerisks,thecontingent valuationmethodisoneofthemostsolidmethodologiesinusetoestimatetheintangiblecostsof crime.However,veryfewstudieshaveappliedcontingentvaluationmethodstorandomsamplesof thepopulationlocatedinhighcrimerateareas.Thisstudyis,tothebestofourknowledge,thefirst attempttoapplythecontingentvaluationmethodtoestimatehowmuchaspecificgroupofsociety, whichisrelativelypronetofallingvictimto(violent)crime,i.e.,students,iswillingtopaytoreduce thelikelihoodofbeingthevictimofviolentcrime.Incontrasttotheexistingliterature,ourstudy focuses on a rather unexplored context, , where criminality and violent crime rates are relativelylowbyinternationalstandards,eventhoughtheyhavebeenontherise.

Basedonresponsesfrom1122highereducationstudentsinabroadrangeofdegrees(fromEconomics toPsychologyandtheHumanities),wefoundthat33%ofourrespondentshavebeenvictimsofcrime inthepast,althoughingeneraltheydidnotresultinphysicalorpsychologicalinjuries.Areasonable percentageofthestudents(almost40%)isveryworriedaboutfallingvictimtoacrimeand52.8% worriesmoderately.Over40%ofourrespondentswerewillingtopayacertainamountbutlessthan 50€,whereas20.8%werewillingtopaybetween50€and250€.Onaverage,allotherdeterminants constant,youngerandfemalestudentsrevealedthattheyweremoreinclinedtopaysoastoavoid violentcrimethantheirolderandmalecounterparts.LowandhighincomePortuguesestudentsdonot differintheirwillingnesstopaymoretoavoidbeingvictimsofviolentcrime.Cautiousbehaviour, such as locking doors at home, and a strong opinion about policies and payment vehicles with potentialtoreducetheriskofcrimeispositivelyassociatedwiththeWTP.Finally,thestudents’field ofstudysurfacedasakeydeterminantofWTP–studentsenrolledinEconomicsandManagement revealed a higherWTP. Suchfindings are likely to have a critical impact on crime and insurance policies.

Key words :ContingentValuationMethod;Intangiblecosts;Crimecosts

♣Authorforcorrespondence:email: [email protected] ;Address:FaculdadedeEconomiadoPorto,RuaDr RobertoFrias,4200464Porto,Portugal.

1 1. Introduction

Costbenefitanalysisisconsideredanimportanttoolinanalyzingthecostsandbenefitsof criminaljusticepolicies(Cohen,2000).Inasocietywithlimitedresources,restrictingtheir allocationtodifferentalternatives,estimatingthecostsofcrimecanhelppolicymakersmake moreinformeddecisions(Cohen,2000;Streffetal.,1992).AccordingtoCohen(2000),costs canbeclassifiedgenerallyastangibleorintangiblecosts.Tangiblecostsareassociatedwith monetarypaymentssuchasmedicalcosts,justicesystemcosts,lossesinpropertyvalueand workingdays(Cohen,2000).Intangiblecostsarenotvaluedinthemarket(Cohen,2000)and include the costs of pain, suffering, the loss of quality of life inflicted on crime victims (Atkinson et al., 2005), and the costs of fear of crime (Moore et al., 2006). It is more complicatedtomeasuretheintangiblecostsofcrime(Dolanetal.,2005)butthecostsofthe emotionalandphysicalimpactofcrimemaybegreaterthanthefinancialcosts,particularlyin the case of violent and sexual offenses (Brand andPrice,2000). Inthecaseofdrugabuse programs,RajkumarandFrench(1997)arguethatincludingthevictims’intangiblelossesin crimecostsmayraiseconsiderablythebenefitsofavoidingcriminalactivity.

Theavailableliteraturedistinguishesseveralmethodologiestoestimatetheintangiblecostsof crime(Cohen,2000;RajkumarandFrench,1997).OneofthesemethodsistheContingent ValuationMethod(Atkinsonetal.,2005),basedonsurveyswhichaskrespondentshowmuch theywouldbewillingtopay forasmallreduction in a particular risk or how much they wouldbewillingtoacceptasacompensationforasmallincreaseinaparticulartypeofrisk (Carthyetal.,1999).Thesurveyspresentahypotheticalsituationwithwhichrespondentsare confronted, and scenarios can be tailored to the needs of the researcher. The Contingent Valuation (CV) approach elicits willingness to pay – a measure provided by the welfare theory (Mitchell and Carson, 1988) – and when applied to criminality, the researcher can determinethevalueindividualsplaceonreductionsincrime(Atkinsonetal.,2005).

AlthoughtheContingentValuationapproachhasbeenwidelyusedinothercontexts 1,ithas notbeengenerallyappliedtocriminalresearch(Cohenetal.,2004;Atkinsonetal.,2005). LudwigandCook’s(1999)study,presentedinaNBERworkingpaper,isamongthefewon thismatter,andwasthefirstoneonelicitingwillingnesstopayinacrimecontext.They determinedanindividual’swillingnesstopayforaprogramaimedatreducinggunviolence by30%.Later,Cohenetal.(2004)usedthecontingentvaluationmethodtoestimatepeople’s

1SeeforexampleTyrvainenandVaananen(1998)foranapplicationtoanenvironmentalcontext,Alberiniand Chiabi(2007)toahealthsettingorGerkingetal.(1988)forastudyonworkplacesafety.

2 willingnesstopayforcrimecontrolprograms,andAtkinsonetal.(2005)appliedthisstated preferenceapproachtovaluethecostsofviolentcrime.Thesestudiesusedrandomsamples (Ludwig and Cook, 1999; Cohen et al., 2004) or sampling points (Atkinson et al., 2005) drawnfromtheentirepopulationofselectedregionsintwocountrieswherethecrimerateis relativelyhigh,theUSandtheUK.

Theresearchundertakeninthispaperis,tothebestofourknowledge,thefirstattemptto apply the contingent valuation method to estimate how much a specific group of society, whichisrelativelypronetofallingvictimof(violent)crime,i.e.,students,iswillingtopayto reducethelikelihoodofbeingvictimsofaviolentcrime.Incontrasttotheexistingliterature, our study focuses on a rather unexplored context, Portugal, where criminality and violent crimeratesarerelativelylowbyinternationalstandards,althoughtheyhavebeenontherise.

Universitystudentsarearelevantpopulationsampleasitispossibletoassumethatahigher levelofeducationenablesthemtomakemoreinformeddecisionswhenestimatingthetrade offbetweencostsandsafety.Studentsarealsoconsideredathigherriskoffallingvictimto violentcrime(Walkeretal.,2009).AccordingtoWalkeretal.,(2009) inthe HomeOffice StatisticalBulletin:CrimeinEngland andWales2008/2009, fulltime students, single and mixedethnicityindividualsareathigherriskofbeingvictimsofviolentcrime.Riskisalso higherformenaged16to24.

Thisisalso,tothebestofourknowledge,thefirstContingentValuationstudyconductedina relativelylowcrimeratecontext,thusaddinganempiricalcontributiontothefewstudiesin thefield.2Asmentionedearlier,theavailableliteraturefocusesontheUS(LudwigandCook, 1999;Cohenetal.,2004)ortheUK(Atkinsonetal.,2005),wheretheviolentcrimerateis substantiallyhigherthaninPortugal.AccordingtoastudybyaEuropeanConsortiumfunded bythe6 th FrameworkProgramme(2007:2),the“[r]isksofbeingassaultedwerefoundtobe highest in the UK, Ireland, The Netherlands, Belgium, Sweden and Denmark. Risks were lowestinItaly,Portugal,Hungary,SpainandFrance.Experienceswithsexualviolencewere reportedmostoftenbywomeninIreland,Sweden,GermanyandAustriaandleastoftenin Hungary,Spain,FranceandPortugal.”

2“In2004levelsofcrimeweremostelevatedinIreland, the United Kingdom, Estonia, The Netherlands and Denmark and lowest in Spain, Hungary, Portugal and Finland”, The Burden of Crime in the EU, Research Report:acomparativeanalysisoftheEuropeanCrimeandSafetySurvey(EUICS)2005.

3 The FBI Uniform Crime Report (UCR) 3 reported that there were 466.9 and 473.5 violent intheUSper100,000habitantsin2007andin2006,respectively. 4Ourcalculations basedonabsolutevaluesofviolentcrime(including homicide) and population reported in EUROSTAT, show that the UK has a higher rate of violent crime than the US, whereas Portugal has one of the lowest rates in Europe. The weight of violent crime in total crime recordedisalsolowerinPortugal.Accordingtothe“RelatórioAnnualdeSegurançaInterna– Anode2008”,theweightofviolentcrimeinPortugalintotalcrimewas5.8%,representing anincreaseof10.8%comparedto2007.Despitethe rise,thisfigureissignificantlylower thantheonefortheUK,whichisover20%. Countrieswherecriminalratesarehigh(USandUK)havebeenusedtoestimatehowmuch peoplearewillingtopaytoreducetheriskofassault. It is important therefore to analyze whethersuchresultsareconsistentwiththeonesfoundforacountrywhereboththecrime ratesandtheproportionofviolentcrimearelower. Our respondent sample includes 1122 students from the largest Portuguese University (University of Porto), covering individuals from a broad range of (32) degrees and (14) faculties/schools, which allowed us to evaluate the extent to which students enrolled in different courses (e.g., economics vs. engineering vs. arts or medicine), a proxy for an individual’sdistinctinclinationsorpsychologicaltraits(Roeser,2006),revealdifferinglevels of willingness to pay for a reduction in violent crime. We devised an econometric model aimed at empirically assessing which are the most important determinants of students’ willingnesstopayforviolentcrimereduction. Thisstudyisstructuredasfollows.Section2presentsareviewoftheavailableliteratureon themethodsofvaluationofthecostsofcrimethatincludethevaluationofintangiblecosts. Thefollowingsectionfocusesonthemethodologyusedtodesignthequestionnaire.Section4 elaborates on the model specification and variables that are used for the estimation and providesanoutlineofthemainresultsofthesurvey.Acomparisonoftheseresultswiththe availableliteratureisalsoaddressedinthissection.Finally,inConclusions,thekeyfindings of this study are summarized, their implications for criminal policy are discussed, and limitationsandpathsforfutureresearchareputforward.

3http://www.fbi.gov/ucr/cius2006/offenses/violent_crime/index.html accessed19082009. 4 The FBI considers that violent crime includes 4 offenses: murder and nonnegligent manslaughter, forcible rape,robberyandaggravatedassault.

4 2. Valuation of intangible costs of crime and determinants of the willingness to pay: a literature review

In spite of the need to monetize the costs of crime, this is not a consensual approach (Czabanski,2008).Indeed,itisoftendefendedthatlifeispriceless(Jongejanetal.,2005; Viscusi,2008)andputtingavalueonpeople’ssufferingistakenas“cold”and“impersonal” (Miller et al., 1996: 1). Measuring correctly the emotional and psychological impacts of violentcrimeisalsoconsidered“impossible”and“artificial”(BrandandPrice,2000).

However,itshouldbenotedthattheresultspresentedintheliteraturedonotintendtovalue the pain and suffering of a particular individual, in the sense that putting a value on the sufferingofacrimevictimwouldbeconsideredbymostinadmissible.Rather,thestudiesare anattempttomeasureexantethevaluesocietyplaces onpreventing that suffering (Brand andPrice,2000).Itisalsoworthmentioningthatwhatisbeinganalyzedisnotthevalueofa singlecrimebutthevalueofcrimereduction(Czabanski,2008).Itisthemonetaryvaluation ofcrimecoststhatallowspolicyappraisalandevaluation(BrandandPrice,2000).

Inordertomakechoices,itisnecessarytouseacommonmetricsapproachtocomparecosts andbenefits.However,certaingoodsandservicesarenotmarketable(e.g.,painandsuffering or biodiversity in the environmental context) making economic valuation techniques necessary so as to assign them monetary values (Bateman et al., 2002). Generally, two approachesareusedtomonetizethesegoods:therevealedpreferenceapproachandthestated preferenceapproach.Intherevealedpreferenceapproach,economicagents’preferencesare inferredbyeconomistsbyobservingtheirbehaviourwhenmakingdecisionswhereriskisan importantfactor:whenindividualsacceptriskierjobsinexchangeforhigherwages(Viscusi, 1993)ordecidethelocationofthehousewheretheyaregoingtolive (Viscusi,2000).The hedonic price methodology (Thaler, 1978; Cohen, 2000; Tita et al., 2006) and averting behaviouranalysisareexamplesoftechniquesusedasarevealedpreferenceapproach.

Inthestatedpreferenceapproach,individualsaredirectlyfacedwithahypotheticalsituation and asked directly to indicate their preferences. A methodology used in stated preference approach is the Contingent Valuation method (CV). The CV method was first applied by Davis(1961)inthecontextofenvironmentalpolicy(MartaPedrosoetal.,2007).Itisusedto studytradeoffsbetweenmoneyandsmallreductionsinriskusingsurveystoelicithowmuch individualswouldbewillingtopayforanimprovedstateofaprovisionofapublicgoodor howmuchtheywouldbewillingtoaccepttobecompensatedforitsreduction(Pearceand

5 Turner,1990). 5Forinstance,Albernietal.(2007)surveyedthewillingnesstopaytoreduce the risk of dying of cardiovascular and respiratory causes, whereas Persson et al. (2001) surveyedWTPtoreducetheriskofdyinginaroadaccident.

The CV method has substantial advantages compared to the techniques of the revealed preferenceapproach(MitchellandCarson,1988).Oneimportantadvantageisthefactthatit allowsforthedirectelicitationofthewelfaremeasureofWTP.Anothernoticeableadvantage referstotheuseofhypotheticalscenariosthatallowresearcherstoanalyzerespondents’WTP forgoodsthatmaynothavebeenprovidedyet.Thesetailoredscenariosalsoenablethestudy ofthetransactionofthegoodinspecificcontingenciesdefinedbytheresearcher(Mitchell andCarson,1988).Respondentsmaythereafterbeinformedofthebaselinerisksandtherisk reductionsthey are requestedtovalue (Alberini andChiabi,2007),aswellasthepayment methodoranyotherinformationtheresearcherfindsvaluabletoconstructthescenario.

In1993,apanelofdistinguishedsocialscientistschairedbytwoNobelLaureates(Kenneth Arrow and Robert Solow) was appointed by the National Oceanic and Atmospheric Administration(NOAA)toassessiftheCVmethodcouldprovidereliableinformation.This panelconcludedthatthistechniquecouldproduceusefulinformationandsuggestedanumber ofguidelinestoensurethereliabilityofCVsurveys(Carson,2000;Arrowetal.,1993;Marta Pedrosoetal.,2007).CVhassincethenbeenusedasapopularmethodtoevaluatewelfare changesinpublicpoliciesorprograms(Atkinsonetal.,2005).

TheCVmethodisnotwithoutlimitations. 6Oneofthecriticismsassociatedwiththismethod isthat,becausethescenarioishypothetical,individualsdonottakeintoconsiderationtheir budget constraints resulting in overestimates of the true WTP (Arrow et al., 1993). Some studies have attempted to overcome this disadvantage by reminding respondents of their budgetconstraint(AlberiniandChiabi,2007).However,thisisnotaconsensualmatteras empiricalstudieshaveconcludedthatthebudgetconstraintbiasisnotrelevantandreminding individualsabouttheiravailableincomemightevenleadtoerrors(Ahlheim,1998).Itisalso arguedthatthehypotheticalnatureofthetransaction leads to possible hypothetical bias – differencesbetweentheamountpeopleclaimtobewillingtopayinaconstructedscenario andtheamountspeopleactuallypayforthegood.Effortshavebeenmadebyresearchersto

5TheWTAapproachhasnotbeencommonlyusedincriminalliteratureexceptforthecaseofjuryawards, which incorporates this concept as people are compensated in an expost situation. For policy analysis it is consideredmoreappropriatetoelicitrespondentsaboutcrimereductionsandnotinfertheamountpeoplewould askforacrimerateincrease(Cohen,2007). 6ForamorecomprehensivedebateonthecontroversiesoftheCVmethod,particularlyappliedtoenvironmental economics,seeCarsonetal.(2001)andArrowetal.(1993).

6 dealwiththisproblem,e.g.,LearningDesignproposedbyBjornstadetal.(1997)orcheap talk(CummingsandTaylor,1999).

Thevalidityofthemethodhasalsobeentestedonthesensitivityofscope(Pouta,2005).This referstothefactthateconomictheorypredictsthatifindividualsarewillingtopayacertain amountforagoodtheydesire,thentheyshouldbewillingtopaymoreifthequantityofthe goodofferedisincreased(aslong astheindividualdoesnot reachthepointofsatiation). Empiricalevidencehasshown,insomecases,insensitivityand,inothers,sensitivitytoscope (Poutaetal.,2005).Carsonetal.(2001)considerthatthemainexplanationforCVestimates nottovarysystematicallywiththedifferentcharacteristicsofthegoodisthepoordesignand administrationofthesurvey.TheyarguethattheCVstudiesthatdemonstrateinsensitivityto scopewerenotdesignedaccordingtotheguidelinesofthestateoftheartsurveys.Relatedto thisproblemarethepossibledifficultiesrespondentsmighthaveinunderstandingverysmall riskschanges.Corsoetal.(2000)trytoovercomethislimitation,onceagain,bychangingthe designofthesurveyaddingvisualaids.Furthermore,WTPestimatesvarydependingonthe elicitation formats used in the surveys. However Carson et al. (2001) defend that these differencesarenotassignificantastheoreticalmodelspredict.

Notwithstandingitslimitations,theCVmethodhasbeenconsideredbygovernmentagencies an acceptable procedure in the context of environmental economics (Mitchell and Carson, 1988).ManyoftheproblemsencounteredwithCVstudies“canberesolvedbycarefulstudy designandimplementation”(Carsonetal.,2001:173) and the NOAA panel (Arrow et al., 1993)endorsedthismethodconsideringitcapableofprovidingreliableestimates.

LudwigandCook(1999)presentedafirststudywiththegoalofestimatingthebenefitsof reducing crime using the Contingent Valuation Method. In the survey, respondents were askediftheywerewillingtovoteforaprogramaimedatreducingguninjuriesby30%that requestedthepaymentofacertainamountofmoney,throughanincreaseinannualtaxes.The authors assumed that the respondent’s Willingness to Pay (WTP) does not value the risk reduction for the individual but for his/her entire household. On the impact of income on WTP,theresultsofthesurveysuggestthatthereisapositiverelationshipbetweenthesetwo variables.TheamountofWTPisalsopositivelyinfluencedbythenumberofchildrenthat constitutethehousehold.Theauthors’estimatesimplythatthevalueofagunshotinjuryis USD750000(1998USD)andsocietalWTPtoreducegunviolenceisapproximatelyUSD 23.8 thousand million dollars (1998 USD). As a limitation of this survey, the authors

7 acknowledgedthatthebaselinerisksofbeingavictimofagunshotinjuryisnotmentioned norisitpartofthepopulationwhichwillbenefitfromthegunreducingprogram.

Cohenetal.(2004)usedtheContingentValuationMethodtodeterminepeople’sWTPfor programsdesignedforcrimecontrolandprovidednewestimatesofthecostofcrime.The authors developed a survey, administered by telephone, in which 2228 respondents were askedifthey werewillingtovote for aproposalthat demanded the payment of a certain amount of money to avoid one in ten crimes in their community. Each of the 1300 respondentsthatactuallycompletedtheinterviewwasthenaskedifhe/shewaswillingtopay acertainamountofmoneytocontinueasuccessfulprogramincrimecontrolforthreetypes ofcrimerandomlychosenoutoffivepossibleones:burglary,seriousassault,armedrobbery, rapeorsexualassaultandmurder.Inthisstudy,respondentswerenotgivenanyinformation regarding crime rates, risk of victimization, average losses or severity of injuries usually related to each type of crime. These details were omitted intentionally so that respondents could answer based on their own perception of these crimes. The authors found that respondentswerewillingtopaydifferentamountstoavoideachtypeofcrime(Table1).

Table 1: Individuals’ willingness to pay to avoid each type of crime (US, 2000) Nºofcrimesassociated WTPfora10% Implicitvalueofa TypeofCrime witha10%crime reduction(USD) statisticalcrime(USD) reduction Burglary 426113 104 25000 ArmedRobbery 48681 110 232000 SeriousAssault 177836 121 70000 RapeandSexualAssault 54747 126 237000 Murder 1553 146 9700000 Source :AdaptedfromCohenetal.(2004)

Arepresentativehouseholdwouldbewillingtopay an average of between USD 104 (for burglary)andUSD146(formurder)peryearforcrimereductionprogramsthatdiminished specific crimes by 10%. Using an estimate of the number of crimes avoided with a 10% reductionincrimeratesandconsideringtheexistenceof103millionhouseholdsintheUnited StatesofAmerica,theauthorswereabletoestimatethecostpertypeofcrime(cf.Table1). BasedonaWTPofUSD146inthecaseofmurder,globallytheAmericanpeoplewouldbe willingtospendaround15billionUSDintheprogram(USD146x103million).Dividing thisamountbythenumberofmurdersavertedwithareductionof10%initsnumber,itis possibletoestimateanimplicitvalueofastatisticalcrimeatUSD9700000inthecaseof murder(Cohenetal.,2004).

8 ThroughtheanalysisofthedatatheauthorswerealsoabletoconcludethatWTPvarieswith theincomeleveloftherespondents.Lowincomerespondentsareusuallywillingtopayless toreducecrimevictimizationthanhigherincomerespondents,eventhoughtheyhavehigher victimizationrates.Itisthussuggestedthattheabilitytopayplaysaroleinexplainingthe amountofWTP.Cohenetal.(2004)furtherarguethatWTPisnegativelyrelatedtoage.The amountsofWTPthatresultfromthisstudyusingtheContingentValuationMethodarehigher thanfiguresestimatedusingothermethods.Apossibleexplanationsuggestedbytheauthors referstothefactthatrespondentsmightoverestimatetherisksandtheinjuriessustainedfrom violentcrime,thus elicitinghighervaluesofWTP.However,itis also possiblethatthese figuresarehigherbecausetheyreflectaspectslikethefearofcrimeandthewillingnesstolive insafercommunitiesmakingthemarelevantcontributiontoevaluatingthecostofcrime.

Table 2: Injury Descriptions

Common Assault Other wounding Serious wounding

Noinjuryprofile Moderateinjuryprofile Seriousinjuryprofile None Cutsandgrazes Concussion Extensivebruisingtobody Cuts(needingstitches) andface Nomedicalattention Twobrokenribs Physical injury required Immediatemedical Bruisingtobody attentionrequiredandtwo nightsinhospital Minorphysicaldiscomfort Painanddiscomfortfora for3weeksfollowedby monthfollowedby completerecovery completerecovery Shortterm Mediumterm Longterm Distressprofile Distressprofile Distressprofile Repeatedrecollectionsof Repeatedrecollectionsof Repeatedrecollectionsof assault assault assault Difficultyfallingasleepor Difficultyfallingasleepor Feelshakenafterafew stayingasleep(1or2 stayingasleep(1or2 Psychological distress hoursafterassault nightseachweek) nightsaweek) Difficultyconcentratingon Difficultyconcentratingon Symptomslastfor12days dailytasks dailytasks Symptomslastfor2weeks Feelingsofnervousness Symptomslastfor6 months Source :Atkinsonetal.(2005)

Atkinsonetal.(2005)developedasurveyusingtheCVmethodintheUKaimedatvaluing thebenefitsofreducingviolentcrime,especiallyitsintangibleimpacts.Theirstudyfocused on three different categories of offense: “common assault”, “serious wounding”and “other wounding”andincludedaverydetaileddescriptionoftheprobablehealtheffects(physical andpsychological)thatavictimofeachoftheseoffensesmightsustain.Thiscomprehensive

9 descriptionofsymptomswasgiventorespondentsastheymighthavenotbeencompletely aware of the consequences of falling victim to a violent crime. Table 2 includes the descriptionoftheinjuryprofilesusedbytheauthors.Inthescenariousedfortheelicitation, the respondents were also informed of the probability of being a victim of each type of offenseprevioustotheriskcontrolpolicy:1%forotherwoundingandseriouswoundingand 4%forcommonassault.

Corsoetal.(2001)arguedthatoneofthelimitationsoftheCVmethodisthelackofaccurate communication of the magnitude of the risk to the respondents taking the survey. If the respondentsdonotunderstandtheproportionoftheriskbeingreducedtheywillnotevaluate theirpreferencescorrectly.Theythussuggestedtheuseofvisualaids,liketables,piecharts or“riskladders” asapossiblemethodtoovercome this difficulty. Following Corso et al. (2001),Atkinsonetal.(2005)optedtoinformrespondentsoftheriskchangebyusingvisual aidsthroughtheinclusionoftwogridswithshadedandnonshadedsquaresdescribingthe likelihoodofbeingavictimoftheoffensebefore andaftertheimplementationoftherisk reductionpolicy.Inthesurvey,respondentswereaskedtoelicittheirWTPtoreducein50% theprobabilityofbecomingvictimsofoneofthethreetypesofassaultoverthefollowing year.Thepaymentvehiclewouldbeanincreaseinlocaltaxesforlawenforcement(Atkinson etal.,2005).Fromasampleof807interviews,only523wereusedfortheestimatesthe authorsexcluded279responsesclassifiedas“protests”(respondentswhowerenotwillingto payanyamountatalltoreducetheriskofbeingcrimevictims)and5responsesconsidered extremeoutlyingvalues(responsesinwhichtheWTPismorethat10%oftherespondent’s incomeandtheWTPishigherthan£2500).Eventhoughtheproportionofprotestswas30%, the authors determined that the sample had not been biased as the differences in the demographiccharacteristicsoftheprotestersandtherespondentsthatdidnotprotestwerenot statisticallysignificant.

The study of Atkinson et al. (2005) also included variables reflecting the fear of crime, perceptionofneighbourhoodsafety,effectivenessofpoliceinreducing crimeratesandthe respondent’s behaviour in avoiding crime. The analysis of the survey’s data led to the conclusionthatwillingnesstopay(WTP)isverydifferentacrossrespondentsandishigher for the crimes that cause the most serious consequences in the respondent’s physical and psychologicalhealth.ThismeansthatWTPvariespositivelywiththeseverityoftheinjuries causedbyeachtypeofoffense.Aimingtoexaminethefactorsthatdeterminethevariationsof

10 WTP across respondents, the data was modelled parametrically. Table 3 summarizes the determinantsthatinfluencedindividuals’WTPandtheirstatisticalsignificance.

Table 3: Determinants of WTP and their statistical significance Statistically significant Variable Influence on WTP (level of significance) Otherwounding + 5% Seriouswounding + 10% Sex Notsignificant Age Notsignificant Loweducation - 5% Income(log) + 5% Victimfiveyears Notsignificant Fearofcrime + 10% Neighbourhoodsafety Notsignificant Policing + 10% Lockdoorathome - 5% Source :OwnformulationusinginformationfromTable8inAtkinsonetal.(2005)

One of the most important results is that the severity of the offense influences WTP positively, every other factor remaining constant. Moreover, higher levels of income, education and the lack of crimeaverting behaviour also have a positive impact on WTP, ceterisparibus.Onecharacteristicoftherespondentsthatwascontrolledforreferredtotheir havingbeenvictimsofacrimeinthepast.Dataanalysissuggestedthatalthoughthishada positiveimpactontheWTP,itdidnothaveasignificantinfluenceontheamountselicited. Thiscouldbeexplainedbythesmallproportionofrespondentsinthesamplethathadalready been victims of a crime. Table 8 summarizes the values of WTP and the implied cost of statisticalcrimepertypeofoffencethatresultedfromtheuseofparametricestimates. 7Based ontheWTPamounts,Atkinsonetal.(2005)wereabletoestimatethecostofastatistical crime(cf.Table4).

Table 4: Summary statistics of WTP and cost of statistical crime WillingnesstoPay(in£) 8 Costofstatisticalcrime(in£) Mean Median Mean Median Commonassault 105.63 18.00 5282 913 Otherwounding 154.54 27.00 30908 5342 Seriouswounding 178.33 31.00 35844 6196 Source:InAtkinsonetal.(2005),Tables6and8combinedandshortened

7 Parametric estimates were used in the table as Atkinson et al. (2005: 578) considered these a “better approximationoftrueWTP”thannonparametricestimates. 8Themeanandthemedianresultsarequitedifferentastheresultsshowthatthemeanestimatesareskewedand driven by a small number of respondents willing to pay a high amount. Another possible explanation is the difficultypeoplehaveinmeasuringcrimeimpacts.

11 AccordingtoAtkinsonetal.(2005)thecostofastatistical crime,inthecaseofcommon assault, is £5,282. To reach this figure, the authors used the mean of the WTP, £105.63, assumingthatthemarginalrateofsubstitutionfora2%reductionis£52.82.

In line with Atkinson et al.’s (2005) study, the research presented here employed the contingentvaluationmethod(CV)toestimatethewillingnesstopay(WTP)toreduceviolent crimeinthecaseofPortugueseuniversitystudentsenrolledinawiderangeofcoursesand schools.Ourcontributiontotheliteratureistwofold:firstly,toassesswhetherdifferentareas of knowledge in which higher education students are enrolled, proxied for their distinct psychological traits, are a determinant factor of the corresponding willingness to pay to reducetheriskofbeingvictimsofviolentcrime.Secondly,toprovidesomeinsightastothe consistencyoftheestimatesinpreviousstudies,conductedincountries(USandUK)with relativelyhighcrimerates,incomparisontoacontext(Portugal)characterizedbyrelatively lowcrimerates.

3. Willingness to pay for violent crime reduction: methodological considerations

TheCVmethodisusedtodirectlyelicittheWTPofhighereducationstudentstoreducethe risks of being victims of violent crime, following Atkinson et al. (2005) in applying this methodologytothecriminalcontext.Asthisapproachinvolvesthedirectelicitationofvalues using a questionnaire, the design of the survey and its wording are of utmost importance (MitchellandCarson,1988).

Our survey started with socioeconomic questions that make it possible to characterize studentsaccordingtoage,genderandfamilyincome.Themonthlyfamilyincomecategories mentionedinthesurveywerecalculatedusingtheminimum wage as the range amount. A questionwasalsoincludedwhererespondentswereaskedtostatethefieldofstudysoasto confirmhowWTPvariesacrossrespondentswithdifferentcharacteristics.Respondentsalso hadtoanswerquestionsrelatedtotheirpersonalexperiencewithcrime.FollowingAtkinson etal.(2005),respondentswereaskediftheyhadeverbeenvictimsofacrime(violentor otherwise),theperiodinwhichthecrimehadoccurredandtheseriousnessofthephysicaland psychologicalconsequencesofthecrime.Havingbeenavictimofcrimecouldbearelevant variable,astheWTPtoavoidbeingvictimofviolentcrimeispossiblyhigherforindividuals whohadpreviouslysufferedassaultwhencomparedtothatofnonvictims.Itcouldalsobe assumedthatvictimswhohadsufferedmoreseriousinjurieswouldbewillingtopaymore thanindividualswhosufferedminorornoinjuriesasaconsequenceofacrime(Atkinsonet

12 al.,2005).Respondentswererequestedtoassessseparately the physical and psychological seriousness of the injuries. The level of seriousness was classified in 5 categories ranging from “no damages” to “very serious damages”. Following Atkinson et al., (2005), we included questions to infer the individual’s perception of safety, i.e., fear of crime and averting behaviour (whether individuals lock the door at home). Respondents were then elicitedtocalculatetheirWTPtoreducetheriskofbeingvictimsofviolentcrime: Consideringtheexistenceof2,28violentcrimesper1000habitants,howmuchwould youbewillingtopaytoreducein10%theprobabilityofbeingthevictimofaviolent crimeinthenext12months(regardlessofthepaymentvehicle)?

Information on the baseline risk and the amount of risk reduction was provided to respondents.Availableliteratureregardstheinclusionofthebaselineriskandthelevelofrisk reductionascrucialbecauseindividualsneeda reference point and different levels of risk reductionsimplydifferentamountsofWTP(Norinderetal.,2001).Thefigureof2.28violent crimesper1000habitantsisanapproximationoftheactualrisksoffallingvictimtoaviolent crimeinPortugal. 9Informationonthetimingoftheriskchangewasalsosuppliedbecauseit canbeofsignificantimportance.Givenindividual time preferences, goods provided today haveadifferentvaluethangoodsprovidedinthefuture(Batemanetal.,2002).Inoursurvey, it was considered that the risk reduction would take place in the following 12 months. FollowingAtkinsonetal.(2005),wealsochosethepaymentcardastheelicitationformat providingrespondentswitharangeofvaluesfromwhichtochoosetheamounttheywouldbe willingtopaytoreducetherisksofassault.HoweverothertechniquesmaybeusedinaCV surveytoelicittheamountindividualsarewillingtopay.Table5presentsthemainelicitation techniques,theiradvantagesanddisadvantages.Differentvariantsofthesemaintechniques havealsobeenproposed(Batemanetal.,2002).

The openended format has been increasingly abandoned by researchers (Bateman et al. 2002).Incontrast,theclosedendedformat(orreferendum)hasbeenendorsedbytheNOAA panel,consideringitthechoicetechniqueofelicitation(Arrowetal.,1993).Otherelicitation techniquesarepossible,forinstance,thebiddinggameandthepaymentcard.Consideringthe limitationsandtheadvantagesofeachtechnique,Batemanetal.(2002)suggestedtheuseof closedended formats or payment cards. Following Atkinson et al. (2005), we used the paymentcardmethodtofindWTPforriskreduction.

9OwncalculationusingdatafromEurostat.

13 Table 5: Advantages and disadvantages of CV elicitation techniques Elicitation technique Description Advantages Disadvantages Leadstomanynonresponses,zeroanswersor Noanchoringbias–asnovalueis unreliableamounts–itisdifficultforrespondents IndividualsareaskedtheirmaximumWTP giventotherespondenthe/sheis tofindanamountwithoutanyguidance Openended withoutbeinggivenanysuggestionastoa not“anchored”toanyamount particularlywhentheyarenotfamiliarwiththe goodinquestion value Veryinformativeastowhatthe maximumamountis Individualsareusedtothinkingintermsofprices ofgoodsandnotinmaximumamounts Anchoringbias:responsesareaffectedbythe HigheramountsofWTPareconsecutively startingvaluespresentedandthebidsused. Helpsrespondentsthinkabouttheir Biddinggame suggestedtoindividuals(likeinanauction) preferencesthroughthisprocess Yeasaying:respondentsareledtoacceptpaying untilthemaximumWTPisfound. theamountsincludedinthebidtoavoidthesocial embarrassmentofsayingno.

Presentsrespondentswitharangeofvalues Avoidsanchoringbias onacardfromwhichtochoosethe RangeBiasVulnerabletotherangesofamounts Paymentcard maximumWTP.Itmayalsoindicatethe Avoidsyeasaying used expendituresofarepresentativehousehold tohelprespondentswiththeiranswer. Avoidsstartingbias Easierforrespondentstoansweras TheamountsofWTParehigherthantheones theyarealreadygivenaspecific Singleboundeddichotomouschoice–the foundwithotherelicitationformats respondentisaskedifhe/sheiswillingto amount payaspecifiedamountofmoney(the Naysaying(protesting) Lowersthenonresponserates amountsusuallyvaryacrossrespondents) Lessinformationprovidedbytherespondent Avoidsoutliers Closedendedformat Doubleboundeddichotomouschoice–after thefirstquestionrespondentsaregivena followupquestionwheretheyareaskedif Inconsistentresponses theywouldbewillingtopayanother Moreinformationavailablefrom Anchoringbias amount.Thissecondpriceishigherif therespondent respondentsanswered“yes”tothefirst Yeasaying question,andloweriftheanswertothefirst questionwas“no” Source :ownformulationfrominformationtakenfromHanleyandSpash(1993),Batemanetal.(2002),andWhynesetal.(2004).

14 It should be noted that, following Cohen et al. (2004), our survey did not include a complete descriptionofthescenario–itdidnotincludetheinstitutionresponsiblefortheriskchange,the meansusedtoachievethatalterationnorthemethodofpayment(paymentvehicle).Thedecisionto omitinformationonthepaymentvehicleorthepolicyusedtoreducetheriskofvictimizationis explainedbythefactthatthisstudyintendedtoestimatehighereducationstudents’willingnessto paytoreducetheprobabilityofbeingvictimsofaviolentcrimeandnottoevaluateaspecificcrime controlpolicy.Howeverwemustbearinmindthatthepaymentvehicleisconsideredarelevant itemoftheCVmethodaffectingtheanswersrespondentsoffer(Morrisonetal.,2000).

Eventhoughitwasnotourgoaltoevaluateaspecificpaymentvehicleorinstrumentusedtoreduce victimizationrisks,wedecidedtoaddaquestionspecifyingapaymentvehicle(increaseintaxes) andadescriptionofapolicyinstrument(increaseinpolicing)tounderstandiftheseelementsaffect WTP.ConsideringwewereinterestedintestingiftherewasachangeinWTP,respondentswere onlyaskedtostateiftheywouldbewillingtopaymore,lessorthesameamountcomparedtothe situationwherenopaymentvehicleorinstrumentwasprovided.

Themethodusedtoapplythesurveyisalsokeyinpreventingerrors(MitchellandCarson,1988). Surveysmaybeadministeredthroughavarietyofinstruments.Themainsurveymodesaremail surveys, telephone interviews and facetoface interviews (Bateman et al., 2002). However, variations of these instruments have been used by combining different modes in an attempt to benefitfromtheadvantagesandovercomethedifficultiesofeachinstrumentwhenusedseparately –e.g.,combinedmailtelephonesurveys(Batemanet al., 2002). 10 Table6summarizesthemain advantagesanddisadvantagesofthreebasicinstrumentsandincludesonemorethathasemerged withtheuseoftheinternet:webbasedstatedpreferencessurveys(MartaPedrosoetal.,2007).

Thesurveyusedinourstudywasdisseminatedbyemailwithalinktothewebbasedsurvey.The primaryreasonforthechoiceofthismethodwasthefactthattherespondents,asstudentsatthe UniversityofPorto(UP),havefreeaccesstotheinternetoncampusandareprovidedwithane mailaccountuponenrolment.11 Thetechnologyisthusavailablewithoutcoststoallrespondents.

Secondly, the fact that these respondents are higher education students means an absence of problemsassociatedwithilliteracy.Thiswasalsothereasonwhynoattemptwasmadetousevisual aids as we assumed that high education students have a level of reasoning that allows them to understand the scenario and the risk reduction involved. Moreover, in webbased surveys like GoogleDocsForm,thedataisautomaticallycollectedonaspreadsheetthatcanbedownloadedto anExcelspreadsheet.Errorsindatacollectionandtranscriptionarethusavoided.

10 Othermixedmethodshavebeenproposed,suchascomputerassistedinterviews(Batemanetal.,2002) 11 TheFacultyofArchitectureisanexceptionasstudentsdonothaveaninstitutionalemailaccount.

15 The development of the questionnaire involved a pretest as recommended by the NOAA panel (Arrow et al., 1993). The questionnaire was administered to students enrolled in the Masters in Innovation and Entrepreneurship (MIETE) at the UP’s Engineering School. They come from differentfieldsofstudyandtheadministrationofthissurveyinthesameformatasthefinalsurvey allowedustodetermineifthegroupunderstoodthequestionsandtodiagnosepossibleproblems withthesurvey.Thisgroupdidnotreportanydifficultiesinansweringthequestionnaire.

Onthe20 th March2009anemailwassenttostudentsatthreeUPFaculties(FacultyofEconomics, FacultyofEngineeringandFacultyofFoodSciencesandNutrition),invitingthemtoanswerthe survey.Anotheremailwassent,thistimeaddressedtothecontactslistedonUP’swebsite 12 aseach Faculty’sCommunication,ImageandPublicRelationsOffice,aswellastheuniversity’sbusiness school.Thesecontactswereaskedtoforwardtheemailwiththesurveylinktoallstudents,which alsoinformedrespondentsofthegoalofthequestionnaireandthescopeofthestudy.Thelimited timenecessarytoanswerthequestionnaire(approximately3minutes)wasalsomentionedinan attempttoincreasetheresponserates.Otherinformationwasincluded,namelytherestricteduseof thedata.Toincreasetheresponserateofsomeof the Faculties from which no responses were obtained, telephone contacts were established with their Communication, Image and Public RelationsOfficestounderstandthereasonbehindthelackofresponses.Welearntthatinsome schoolsstudentsarenotusedtorespondingtoquestionnaires(e.g.,FacultyofMedicinewherethe responseratewas0%)andinotherschools,suchastheFacultyofDentalMedicine,studentsare notwillingtoparticipateastheyaretiredofreceivingonlinequestionnaires.Onelastattemptto boostresponserateswasmadeinMay2009bysendinganemailtothePresidentsofalltheFaculty Boardsrequestingthedisseminationofthequestionnaire.

Weconsideredthequestionnaireresponsephaseclosedonthe7 th July2009withatotalof1122 responses.ConsideringthatthetotalnumberofstudentsoftheUniversityis29,896, 13 theresponse ratewasapproximately4%.

12 http://sigarra.up.pt/up/web_base.gera_pagina?P_pagina=122243 –accessedMarch2009. 13 http://sigarra.up.pt/up/web_base.gera_pagina?p_pagina=122350 –accessedSeptember2009.

16 Table 6: Advantages and disadvantages of CV survey modes Survey Mode Description Advantages Disadvantages Lowresponserates Requiretherespondentstoreadandunderstandthescenario–thelevelofliteracy oftherespondentmaybeaproblem Lowcost Preventstheuseofquestionnaireswhererespondentsshouldanswerquestionsina Thequestionnairesaresentby fixedsequencebecausetheycanreadthewholequestionnairebeforestartingtofill mailtotherespondents,who Permitstheuseofvisualaids MailSurvey itin completethemandsendthem Respondentscananswerthesurveyintheirowntime backtotheresearchers Possibleselfselection bias - thepeoplewhoanswerthequestionnairesaremore Easytoanswersensitivequestions likelytheonesthataremoreinterestedinthetopic.Thismightleadto unrepresentativesamples. Nocontroloverwhofillsinthequestionnaire(headofthehouseholdoranother individual?) Highresponserates Permitstheuseofvisualaids Theinterviewerconductsan Highcosts Facetoface Allowstheinterviewertoexplaincomplexscenarios interviewfacetofacewiththe Timeconsuming interviews andassisttherespondentifhedoesn’tunderstandthe respondent questions Possibleinterviewerbias–theinterviewermayaffecttherespondent’sanswer Allowstheuseofquestionnaireswheretheinformation mustunfoldsequentiallyfortherespondent. Lessexpensivethanfacetofaceinterviews Intermediatelevelofresponserate Donotallowtheuseofvisualaids Theinterviewertelephonesa Telephone Allowtheinterviewertoexplaincomplexscenarios Donotallowlengthyquestionnairesrespondentsmaynotbewillingtoanswera sampleofindividualsand interviews andassisttherespondentifhedoesn’tunderstandthe questionnaireformorethanjustafewminutes interviewsthem. questions Respondentswhodonothaveatelephonewillnotberepresentedinthesample Allowtheuseofquestionnaireswheretheinformation mustunfoldsequentiallyfortherespondent Respondentscananswerthesurveyintheirowntime Surveyshostedonawebpage SamplerepresentativenessThereisnocontroloverwhofillsinthequestionnaire Easytoanswersensitivequestions –Thesamepersoncanfillitinseveraltimesandpeoplewhoarenotsupposedto Lowcosts answermayhaveaccess Webbased Possibilityofdesigninganinteractivesurvey(the Sampleselectivity surveys Surveysaccessedfollowingane respondentonlyhasaccesstothenextquestionifhehas Difficulttousevisualaids submittedthepreviousonecontrolsforquestion mailmessagelinkoralinkhosted Requiretherespondentstoreadandunderstandthescenario–levelofliteracyof sequencing) onanotherwebsite therespondentmaybeaproblem Answersmaybedownloadeddirectlyintoadatabase Possibleselfselection bias (e.g.,Excelspreadsheet)

Source :OwnformulationfrominformationavailableinBatemanetal.(2002),MitchellandCarson(1988)andMartaPedrosoetal.(2007)

17 4. Determinants of the WTP for violent crime reduction: results for Portuguese Higher Education students

4.1. Descriptive analysis

Adescriptiveanalysisofourdataindicates(cf.TableA1)thatmostofourrespondentswere aged 20 to 22 and were female (52.9%). As 52%14 of UP’s students are female, gender overrepresentationdidnotoccurinoursample.Themajorityofourrespondentsindicatedthe highestleveloffamilyincomementionedinthequestionnaire(over2250€/month)andwas integratedinafamilyoffourmembers.Theyweremostlyundergraduatestudents(50.3%), with no family dependents (92.9%), studying Engineering (35.8%), Economics and Management(22.5%),andHealthSciences(17.3%).

The Faculty of Engineering and the Faculty of Economics had the highest number of respondentsfollowedbytheFacultyofArtsandtheFacultyofNutritionandFoodScience. Our respondent sample is overrepresented (compare columns 3 and 5 of Table 7) in the followingcourses:Engineering,Economics,andNutrition.ItunderrepresentsArchitecture, Sports,Medicine,andDentalMedicine,coursesfromwhichwefailedtoobtainvalidanswers.

Withregardtothecrimerelatedresponses,33%ofourrespondentshadbeencrimevictimsin thepastandmostofthesecrimesoccurredovera year ago. The crimes did not generally resultinphysicalorpsychologicalinjuries.Themajorityofourrespondentsworrymoderately about being victims of a crime (52.8%) and 37.6% worry considerably. This result is consistentwiththefactthatalmost84%ofourrespondentsusuallylockthedoorwhenthey leavehome.Whenaskedhowmuchtheywerewillingtopaytoreducetheprobabilityof beingvictimsofaviolentcrimeby10%,42.1%ofourrespondentswerewillingtopaya certainamountbutlessthan50€,and20.8%werewillingtopaybetween50€and250€.Itis alsoworthmentioningthat25.5%ofrespondentswerenotwillingtopayanymoneyatall. We can speculate several reasons to have obtained such a high number of protesters: respondents may object to the scenario considering it unrealistic or they could have consideredthatareductionin10%intheviolentcrimerateisnegligiblewhenitissolowin Portugal.Thehighpercentageofprotestersisaproblemthathasbeenpreviouslyreportedin theliteratureAtkinsonetal.(2005)encounteredmorethan30%ofprotestersintheirstudy andfutureresearchshouldfocusmoreonexplainingthisphenomena.

14 http://sigarra.up.pt/up/web_base.gera_pagina?p_pagina=122350 (accessedon06.09.2009)

18 Table 7: Percentage of responses per total number of Faculty students at the University of Porto (UP) % students % of Nº of students Nº of enrolled at the responses Response rate per Faculty enrolled at the responses by UP by faculty by faculty faculty [2]/[1] UP [1] faculty [2] [1]/29896 [2]/1122 FacultyofArchitecture 1000 3.3% 0 0.0% 0.0% FacultyofFineArts 800 2.7% 14 1.2% 1.8% FacultyofSciences 3648 12.2% 18 1.6% 0.5% FacultyofNutritionand 449 1.5% 90 8.0% 20.0% FoodScience FacultyofSport 1494 5.0% 0 0.0% 0.0% FacultyofLaw 998 3.3% 8 0.7% 0.8% FacultyofEconomics 2859 9.6% 259 23.1% 9.1% FacultyofEngineering 6922 23.2% 431 38.4% 6.2% FacultyofPharmacy 1306 4.4% 63 5.6% 4.8% FacultyofMedicine 2357 7.9% 0 0.0% 0.0% FacultyofDental 506 1.7% 0 0.0% 0.0% Medicine FacultyofPsychology 1579 5.3% 74 6.6% 4.7% andEducationScience InstituteofBiomedical 2257 7.6% 42 3.7% 2.1% SciencesAbelSalazar FacultyofArts 3721 12.5% 118 10.5% 3.2% Total 29896 100% 1122 100.0 % 3.8% Source :Ownformulationusingdatafromthereport“Ensino_EstudantesInscritosnaU.Porto2008”(31 st December2008)

Using the KruskallWallis 15 test to assess if there is evidence of statistically significant differencesinthemeanofWTPbetweenthedifferentcategoriesoftherelevantvariables(cf. Table8),weconcludedthattherearestatisticallysignificantdifferencesinmeanWTPforthe categoriesinallvariablesexceptfor‘students’degree’,‘havingbeenvictimofacrimeinthe past’,‘thedateofthepreviouscrime’,and‘theinjuriescausedbythatcrime’.Thismeans,for instance,thatalthoughatfirstglancethedatasuggestthatdifferentcategoriesofstudents’ degrees imply different amounts of willingness to pay, on average, this difference is not statisticallysignificant.Theagevariable,althoughbeingstatisticallysignificant,showsanon linearrelationshipwiththemeanWTP.Therespondentsaged23to25yearsoldarewillingto paythehighestamountonaverageandtheoldestrespondentsaretheoneswillingtopaythe lowestamount.Femalerespondentsreveal,onaverage,ahigherpropensitytopaythanmale respondents.Additionally,studentswiththehighestfamilyincomecategory(over2250€)are willingtopay,onaverage,ahigheramount.Onceagain,however,therelationshipbetween thetwovariablesisnotlinearaswecannotsatethatthehigher(lower)thefamilyincome,the higher(lower)themedianWTP. 16

15 TheKruskallWallisteststhenullhypothesisofthemedianofthepopulationsbeingequal(Sheskin,2007). 16 The description of the variablesproxies and the measurement adjustments undertaken on the original questionsinordertogettheseproxiesaredetailedinTableA2.

19 Therespondentswhohavefamilydependentsaresurprisinglywillingtopaylessonaverage than those with no family dependents. Indeed, an opposite result was expected at it was assumedthatindividualswithfamilydependentswouldbemoreworriedaboutthefinancial burdenontheirrelatives,notonlybecauseofincurringinmorecostsassociatedwithcrime victimizationbutalsobecausetherecouldbeadecreaseinfamilyrevenueduetopossible dayslostatwork.

RespondentsinPsychologyandEducationalSciencesareinclinedtopaythehighestamount on average, followed by Economics and Management. Respondents in Arts, Sport or Law presentthelowestmeanofWTP.

Inoursample,respondentswhousuallylockthedoorathomearewillingtopay,onaverage, ahigheramount.Thosewhostatenottoworryaboutbeingvictimsofaviolentcrime,tendon averagetoreportalowerWTP.Theseresultsareinlinewithwhatisexpectedaspeoplewho lock their doors reveal a crimeaverting behaviour that is consistent with a higher fear of crime.

ThedifferenceinthemeanofWTPelicitedinthequestionregardingthepaymentvehicleand policy used to reduce crime is also statistically significant. Respondents who stated they wouldbewillingtopaylessthantheamounttheypreviouslyclaimed,ifthemechanismused to reduce the risk of violent crime victimization was an increase in policing financed by raisingtaxes,aretheonesthatpresent,onaverage,thehighestWTP.Incontrast,thosewho claimthey wouldpaythesameamountwiththenewpolicy description reveal the lowest WTP.

AnanalysisofthecorrelationmatrixofthevariablespresentedinTableA3(inAppendix) reflectsapositiveandsignificantcorrelationbetweenthevariableincomeandthenumberof household members, without controlling for the other variables. Thus households with the highestincomeareassociatedwithahighernumberoffamilymembersandfamilieswitha higher number of members are related to the highest income households. Therefore, the variablenumberoffamilymemberswasnotconsideredintheestimationofourregressionsas it would lead to multicollinearity. A significant and positive correlation was also found betweenthevariablethatrepresentedhavingbeenthevictimofacrimeandthetimewhenthe crimeoccurred.Again,astrongcorrelationwasfoundbetweenthevariableshavingbeenthe victimofacrimeandtheseverityoftheinjuriessuffered.Thusthevariablesrepresentingthe time when the crime occurred and the severity of the injuries were not considered in our estimation.

20 Table 8: Differences in the mean of WTP for the different categories (in euros) p-value and Variables Variables’ categories Qui2 level of significance Age [17;19]=190.69 [20;22]=161.76 [23;25]=251.08 [26;30]=251.01 [31;68]=112.50 8.920 0.063 * Gender Female=246.71 Male=127.03 18.624 0.000 *** Income [0;450[=210.00 [450;900[=169.52 [900;1350[=178.19 [1350;1800[=87.43 [1800;2250[=232.93 [2250;+∞[=236.44 10.362 0.066 * Family 1=159.01 2=149.41 3=189.63 4=225.83 Morethan4=146.84 8.700 0.069 * members Family Yes=63.13 No=200.05 8.786 0.003 *** dependents Integrated Master PhD/Doctoral Undergraduate=199.47 Postgraduate=35.71 Other=1012.50 5.734 0.333 Degree Masters=170.79 Programs=180.83 program=156.82 Economicsand Psychologyand Other(Arts. ExactSciences= Health Humanities=160.08 Management Engineering=172.51 Educational Sport. *** Field of study 162.26 sciences=189.95 25.729 0.000 Sciences=228.37 Sciences=275.00 Law)=95.83

Crime victim Yes=165.20 No=202.63 2.573 0.109

Lessthana [1year;5 Over5years 1.461 0.482 Crime time year=116.77 years]=148.20 ago=202.89

Physical Some Serious Nodamage=164.24 0.090 0.956 damages damage=165.82 damage=154.17

Psychological Some Serious Nodamage=164.24 1.060 0.588 damages damage=164.38 damage=125.00 Lock Door Yes=199.95 No=141.67 6.723 0.010 *** Payment vehicle and Less=310.00 Thesame=153.35 More=217.53 30.724 0.000 *** Policy Fear Nofear=47.45 Somefear=128.46 Lotsoffear=313.60 58.541 0.000 *** Legend : ***(** )[ *]statisticallysignificantat1%(5%)[10%]level

21 4.2. Determinants of higher education students’ willingness to pay for violent crime reduction: results from the estimation of the econometric models

Our aim here is to estimate the determinants of the Willingness to Pay (WTP) of higher education students to reduce the risks of falling victim to a violent crime. Our theoretical modelassumesthatourdependentvariable,WTP,isafunctionofalargesetofvariablesas stated by the existing literature in the field (cf. Section 2): demographic factors (age and gender), family related factors (income, dimension, dependents), degree (undergraduate, master,PhD)andfield ofstudy (economics,arts,…), crime related factors (crime victim, crimetime,physicalinjuries,psychologicaldamages,fearofcrime),avertingbehaviour(lock thedoor),paymentvehicleandpolicy.

Thelogitmodelestimated(Table9)presentsareasonablequalityofadjustment(goodnessof fit).TheHosmerandLemeshowtestindicatesthatwecanacceptthenullhypothesisthatthe estimatedmodelrepresentsrealitywell.Moreover,morethan75%oftheestimatedvaluesof thedependentvariablearecorrectlypredictedbythemodel.

Demographicvariables–ageandgender–arekeydeterminantsofthewillingnesstopayto reduce violent crime among Portuguese higher education students. On average, all other determinantsheldconstant,seniorstudentspresentalowerWTP,whereasfemalestudentsare moreinclinedtopaytoavoidbeingthevictimofviolentcrimethantheirmalecounterparts. Thefirstresultisinlinewithfindingsintheexistingliterature.Cohenetal.(2004)alsofound thatWTPdecreaseswithagethusinthisregardPortuguesehighereducationstudentsarenot different fromthe generalindividualslivinginmore developed, high crime rate countries. ThisdoesnotseemtobethecasefortheimpactofgenderonWTPasthisisnotastatistically significantfactorintheliteratureoncrimecosts.Howeverourresultsareinaccordancewith psychological literature which suggests that traditional female gender roles are associated withavoidance(Rubinstein,2005).

No relation was found between students’ income level and WTP – low and high income studentsdonotdiffer,onaverage,andallelseconstant,intheirwillingnesstopaymoreto avoidbeingavictimofviolentcrime.Theliteratureonthisrelationshipsuggestsincontrast that higher incomes positively influence WTP (Atkinson et al., 2005; Ludwig and Cook, 1999).Cohenetal.(2004)furtherreinforcesthis evidenceclaimingthattheability topay plays a role in explaining the amount in WTP as low income individuals, despite having highervictimizationrates,arewillingtopayless.

22 Table 9: Results of the model estimation Variables Categories βββ estimates

AGE(ln) 0,811 ** GENDERdefault:Male 0,520 *** INCOME(Ln) 0,236 1 0,745 ** 2 0,040 FAMILYSIZE–default:3 4 0,131 Morethan4 0,013 ExactSciences 0,510 Humanities 0,516 * EconomicsandManagement 0,202* STUDYFIELD–default:HealthSciences Sciences Engineering 0,475 ** PsychologyandEducational 0,556 Sciences Other(Arts,Sport,Law) 1,106 ** VCRIME–default:No Yes 0,036

Somefear 1,099 *** FEAR–Default:nofear Lotsoffear 1,454 ***

LOCKDOOR(default:No) Yes 0,386 **

*** PAYMENTVEHICLE&POLICY Less 1,290 (default:thesame) More 0,543 *** Constant 1,595

N 1122 WTP>0€ 836 WTP=0 286 Goodnessoffit HosmerLemeshowTest 6.388(0.604) (significance) %corrected 75.8

Legend : *** (** )[ *]statisticallysignificantat1%(5%)[10%]level TherelationshipbetweenthenumberofhouseholdmembersandWTPissomewhatsurprising –thereisstatisticalsupporttosuggestthatasinglepersonis,onaverage,muchmoreinclined topaytoreducetheprobabilityofbeingthevictimofaviolentcrimethanastudentliving withalargefamily(3members).ThiscontrastswithfindingsofLudwigandCook(1999), whoreportapositiveimpactofhouseholdsizeonWTP,whichwasassociatedwithaltruistic reasonsasindividualsinfamilieswithseveralmemberswouldbewillingtopaymorethan individuals who live alone. This apparently contradictory and unexpected result may be

23 explainedbythehigherriskasinglestudentfacesoffallingvictimtoacrimeincomparison ofstudentslivingwithtwootherrelatives. In comparison to Health Sciences students, those in Humanities, Engineering, and Other courses(incl.Arts,SportandLaw)arewillingtopayless,allelseequal.Incontrast,students inEconomicsandManagementrevealahigherWTP.Theliteraturedoesnotaccountforthe impactofthefieldofstudyasadeterminantofWTPbutourresultssuggestthatthisvariable hasanimportantroleinelicitingWTP.Researchershavefound evidenceofarelationship betweenpeople’spersonalitiesandtheirareasofinterest(Tokaretal.,1998).Severalauthors havefoundanassociationbetweenthefieldofstudyofuniversitystudentsandpersonality traits (Rubinstein, 2005; Silver and Malone, 1993; Kline and Lapham, 1992). Silver and Malone(1993),forinstance,foundthatengineerstendtobemostlyobsessive,accountantsare predominantly paranoid, and medical students are particularly narcissistic 17 . Psychological literatureusesthefieldofstudyasaproxyforpersonalitytraitsofindividuals.Byestimating thatdistinctfieldsofstudyareassociatedwithdifferentamountsofWTP,wesuggestthat differentpersonalitytraitsmightplayadeterminantroleinelicitingWTPtoreduceviolent crimevictimization.AftercontrollingforallothervariableslikelytoimpactontheWTP,a higherlevelofconcernaboutbeingapossiblevictimofaviolentcrimeisassociatedtoa higher WTP, on average, which corroborates the findingsintheliterature(Atkinsonetal., 2005).

Anotherrelevantaspecttotakeintoaccountisanavertingbehaviourtowardscrime,reflected inlockingthedoorathome,ispositivelyassociatedwiththeWTP.Thisevidenceisnotin linewiththeestimatespresentedbyAtkinsonetal.(2005)thatsuggestthatpeoplewhodonot locktheirdoorare actuallywillingtopaymore.The authors speculate that people whose behaviour puts them more at risk are willing to pay more for a policy that reduces their probabilityofvictimization.Ourestimates,onthecontrary,mightbeexplainedbythefact that people who lock their doors may be more concerned about crime issues and are thus willingtopaymore.

17 SilverandMalone(1993)focusondifferentpersonalitystyles.Amongthemaretheobsessive,theparanoid and the narcissistic. Individuals with an obsessivestyleusuallylookforperfectionandarenevercompletely satisfiedwithwhattheyaccomplish.Theyhavearigidmodeofthinking,paygreatattentiontotechnicaldetails andhaveaneedtocontroleverythingaroundthem.Paranoidindividualsaregoodobserverscharacterizedbyan acute form of attentiveness and a constant sense of anticipation. They have a particular advantage in highly competitivesettingslikecorporations.Anarcissisticpersonalityischaracterizedbyahighsenseofself,aneed forattentionandacceptance.

24 PaymentvehicleandpolicyemergeasastronglysignificantvariableinexplainingPortuguese higher education students’ WTP. However, results are not clearcut, as both groups of studentswouldpaylessandmore(inrelationtothosethatwouldpaythesame)inthecase wherepaymentismadethroughhighertaxestoincreasepolicingrevealahigherwillingness topaytoavoidbeingvictimsofviolentcrime.Wesuggestthatstudentswithastrongopinion onthepoliciesandpaymentvehiclesusedtoreducecrimerisksarewillingtopaymorethan studentswhoareneutraltothesevariables.CVliterature emphasizes that payment vehicle andpolicyareconsideredrelevantvariablesthatshouldbeincludedinthesurveysgiventheir impactonindividual’sresponses(cf.Section2).

Incrimecostsliterature,LudwigandCook(1999)donotaddressthisissuedirectlyinthe survey by changing the payment vehicle or policy when eliciting the amounts of WTP. However,theyusedtheanswersofindividualsthatstated“thattaxesaretoohigh”asaproxy forrespondentswhodidnotagreewiththepaymentvehicle.Byremovingtheseresponses from the sample, the estimates of WTP were 13% higher(Ludwigand Cook,1999).With regardtothepolicyusedtoreducerisksofvictimization,Atkinsonetal.(2005)estimatethat thebeliefintheeffectivenessofpolicinghasapositiveimpactonWTP.Weprovidefurther evidence supporting the hypothesis that this/these variable(s) is (are) an important determinantinexplainingWTPforcrimeriskreduction.

5. Conclusion

In a society with limited resources that can be allocatedtodifferentuses,theneedtofind instruments to analyze the costs and benefits of different policies will help policymakers makemoreinformeddecisions(Cohen,2000).Crimepolicyisnoexceptionandestimating thecostsofcrimeispartofthecostbenefitanalysis.Tangiblecostshavebeencalculatedbut notincludingestimatesofpain,sufferingorchangesinlifestyle–particularlyimportantin violentcrime–hasresultedinbiasedestimatesofthetotalcostsofcrime(Czabanski,2008). Severalmethodologieshavebeenusedtoincorporatetheintangiblecostsofcrimeandthe Contingent Valuation method offers a “fresh perspective” (Czabanski, 2008: 122) on this problem.Ourstudyappliedthecontingentvaluationmethodtoestimatethedeterminantsof highereducationstudents’willingnesstopaytoavoidbeingvictimsofviolentcrime.

Thepresentstudycontributeswithtwomainelementstotheexistingliterature.Firstlyitis,to thebestofourknowledge,thefirststudyconductedinarelativelylowcrimecountry.Our researchindicatesthateventhoughcrimeratesarelowerinPortugal,themainelementsthat

25 haveanimpactonWTPincountriesliketheUKortheUS–withhighcrimerates–arethe same for Portuguese university students (cf. Table 10).Theyhaveincommonthepositive influenceofcharacteristicssuchashigherincomeandfearofcrimeonwillingnesstopayto reducetheriskofviolentcrime.Thenegativeimpactofageisalsocommontobothtypesof countries. The payment vehicle and the policy used to reduce this risk are also strongly significant in both contexts. However, unlike the results presented for high crime rate countries, our results show that gender is a statistically significant variable, with female individualswillingtopaymoretoreducetherisk ofbeingvictimized,andsinglestudents willingtopaymorethanstudentsthatlivewithafamilyof3members.

Psychology literature supports our results by explaining the different gender roles and confirmingthatwomenaremorepronetoavoidance(Rubinstein,2005).Lockingthedoorat home was found to have a negative impact on WTP in the UK whereas in Portugal, individualswholocktheirdoorsarewillingtopaymoretoreducetheirrisks.Weexplainthe oppositefindingsofourstudybysuggestingthatpeoplewholockdoorsathomedemonstrate acrimeavoidancebehaviourthatiscompatiblewithahigherWTP.

Our study also contributes to the existing literature by being the first study that uses the contingentvaluationmethodtoestimatetheamountthataparticularsectorofthepopulation universitystudentsiswillingtopaytoreducetheriskofbeingvictimsofviolentcrime. Literature on WTP to avoid crime victimization does not discuss the impact of the individuals’differentfieldsofstudyonWTP.Inthisstudy,weconcludedthatpsychological traits,asindicatedbythefieldofstudy,playakeyroleindeterminingtheamountpeopleare willingtopay.WefoundthatEconomicsandManagementstudentsarewillingtopaymore thanHealthSciencesstudentsandArts,LawandSportsstudentsarewillingtopayless.

ThefactthatourresultssuggestarelationshipbetweenthefieldofstudyandWTPcouldhave an impact on policy, particularly insurance policy. In light of these results, insurance companies may be interested in designing different insurance packages for individuals dependingontheirpsychologicaltraitsasindicatedbytheirfieldofstudy.Thesepackages would be tailored to include different benefits and costs depending on the individual’s preferencesthatshouldincludesomefeaturesbasedontheirfieldofstudy.

26 Table 10: Comparison of the present study with some existing studies in the literature Prior studies Current study Ludwig and Cook (1999) Cohen et al. (2004) Atkinson et al. (2005) Violentcrimeby50%(categorizedin Severalcrimesby10%(burglary, threedifferenttypesofoffences– Risk reduction Gunviolence(injuries)by30% seriousassault,armedrobbery,rape commonassault,otherwounding, Violentcrimeby10% orsexualassault,murder) seriouswounding) Programmetoreduceguntheftsand Policy n.c. illegalgundealers Increasepolicing n.c.

Payment vehicle TaxIncrease n.c. Riseinlocalcharges n.c.

Variables

Age n.c. 0

Gender(default:male) n.c. 0 0 +

Income + + + 0

Familymembers + n.c. n.c.

Fieldofstudies n.c. n.c. n.c. Significant

Victimofacrime n.c. n.c. 0 0

Fearofcrime n.c. n.c. + +

LockDoor n.c. n.c. +

Paymentvehicleandpolicy + n.c. + +

Severityofinjuries/crimetype n.c. + + n.c. Source :Ownformulation Legend:0–notstatisticallysignificant;n.cnotconsidered

27 Government policy can also be affected as crime policies aimed at reducing the risks of assaultareperceiveddifferentlybypeoplewithdifferenteducationalbackground.Individuals withabackgroundinEconomicsandManagementarewillingtoincurinmorecoststhan individualsinotherfields.Governmentsshouldbe awareofthisdistinctiontotailorcrime policiesdependingonthegeographicaldistributionofindividualswithdifferenteducational backgroundsinthecity/country.Differentlocationswiththesamecrimeratescouldbenefit from different crime reduction policies that should also be tailored in accordance with its population’sfieldofstudy.

Despitetheresultsobtainedinthisstudy,wealsoacknowledgesomelimitations.Firstly,it shouldbementionedthattotailorourscenarioweusedofficialstatisticsonviolentcrimein Portugal – EUROSTAT – to present respondents with the baseline risk. However, official statisticsunderreportthenumberofcriminaloffenses,asitisestimatedthatahighnumberof crimesarenotreported(MacDonald,2002),particularlysexcrimes(Riceetal.,2006).Future researchshouldfocusontheimpactofdifferentbaselinerisksanddifferentpercentagesinthe changeofriskreductiononWTP,sothatreliableandrobustestimatescanbeproducedand usedinthedefinitionofcrimepolicy.Moreover,asstatedbyCohenetal.(2004),different resultscouldhavebeenobtainedifadetaileddescriptionoftheconsequencesofvictimization hadbeenprovided.FutureresearchshouldinvestigateifdifferentamountsofWTPwouldbe reportedinthosecircumstances.

Ourstudyreported25.5%ofprotestersandAtkinsonetal.(2005)statedhavingmorethan 30%ofresponsesclassifiedasprotests.Eventhoughthishighpercentageofprotestersdidnot biasourresultsasthelogisticregressionestimated using the maximum likelihood method producedthesameresultsastheordinaryleastsquaresestimation(notreportedinthetext), severalexplanationscanbesuggested,suchasthefactthatrespondentsobjecttothevaluation scenario(e.g.,thepercentageofriskreductioninvolved).However,acomprehensivestudyof thereasonsbehindtheprotestsshouldbeconducted.Futureresearchshouldthusfocuson trying to explain the high percentage of protesters that are encountered in the CV studies appliedtothecostsofcrime.

Finally,anindepthanalysisoftherelationshipbetweenindividual’seducationalbackground (usedasaproxyforpsychologicaltraits)andWTPtoavoidbeingvictimsofcrimeshould alsobeconducted.Wehavesuggestedthatthereisanassociationbetweenthesetwovariables butgiventheimplicationsitcouldhaveincrimepolicies,furtherresearchisrecommended.

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33 Appendix

Table A1: Descriptive statistics Variable Frequency(%) [17,19] 16.8 [20,22] 42.1

Age(N=1122) [23,25] 20.7 [26,30] 11.1

[31,68] 9.4

Male 47.1 Gender(N=1122) Female 52.9

[0;450[ 4.0

[450;900[ 13.8

[900;1350[ 21.7 Income,in€(N=1122) [1350;1800[ 15.2

[1800;2250[ 14.9

Morethan2250 30.4

1 7.7

2 11.4

NºFamilyelements(N=1122) 3 29.2

4 37.6

Morethan4 14.1

No 92.9 FamilyDependents(N=1122) Yes 7.1

Undergraduate 50.3

IntegratedMasters 18.0

Postgraduate 0.6 LevelofStudy(N=1122) MasterProgrammes 23.7

PHD/Doctoralprogramme 6.9

Other 0.5

ExactSciences 4.7

Humanities 11.1

Economicsandmanagementsciences 22.5

Fieldofstudy(N=1122) Engineering 35.8

PsychologyandEducationalSciences 6.0

HealthSciences 17.3

Other(Arts,Sport,Law) 2.7

34 (…) FacultyofFineArts 1.2

FacultyofSciences 1.6

FacultyofNutritionandFoodScience 8.0

FacultyofLaw 0.7

FacultyofEconomics 23.1 Schoolofenrollment(N=1122) FacultyofEngineering 38.4

FacultyofPharmacy 5.6

FacultyofPsychologyandEducationScience 6.6

InstituteofBiomedicalSciencesAbelSalazar 4.2

FacultyofArts 10.5

No 67.0 Victimofapreviouscrime(N=1122) Yes 33.0

Lessthan1year 20.2

Dateofpreviouscrime(N=376) Between1to5years 40.7

Over5years 39.1

Noinjuries 78.9 Severityofphysicalinjuriesrelatedtothe crime(N=374) Someinjuries 13.1 Seriousinjuries 8.0 Nodamages 78.9 Severityofpsychologicaldamagesrelated Somedamages 19.5 tothecrime(N=374) Seriousdamages 1.6 Doesnotworry 9.6 Worriesaboutbeingthevictimofacrime Worriesmoderately 52.8 (N=1122) Worriesalot 37.6

No 16.6 Locksthedooroftheresidence(N=1122) Yes 83.4 0 25.5 [0;50[ 42.1 [50;250[ 20.8 [250;750[ 5.5

Willingnesstopay,in€(N=1122) [750;1250[ 1.9 [1250;1750[ 0.7

[1750;2250[ 0.8

[2250;2750[ 0.2

Morethan2750 2.6 More 13.4 Willingnesstopayifthereisanincreasein Thesame 58.6 policingfinancedbyanincreaseintaxes– Less 26.6 paymentvehicleandpolicy(N=1122) Noanswer 1.5

Source :Authorscalculationbasedondirectsurvey,March–July2009

35

Table A2: Variables Description Variable Description Age–Thequestionnaireincludedanopenquestionthatrequiredrespondentstostatetheir age.Theageofthestudentsthatansweredthesurveyvariedbetween17and68years.For Age estimationpurposes,respondent’sagesweregroupedinto5intervals:[17,19];[20,22]; [23,25];[26,30]and[31,68]. Gend Gender–Thisvariablereferstothegenderoftherespondent:maleorfemale. Income–Representsmonthlyfamilyincome.Thequestionnairereferred6intervalsof Inc income,ineuros,thatwerealsousedinourregressions:[0,450[;[450,900[;[900,1350[; [1350,1800[;[1800,2250[andmorethan2250. Numberoffamilymembers–Inthequestionnairerespondentswereaskedtostatehow Fam manyindividualslivedintheirhousehold;1,2,3,4ormorethan4.Thesewerealsothe figuresusedintheestimationofourregressions. Thisvariableincorporatestheanswersrespondentsgaveabouthavingindividualsthatwere financiallydependentonthem.Thepossibleanswerswere“yes”or“no”.Thisvariablewas FamDep notincludedinourestimationasover90%ofthestudentsinthesampledonothavefamily dependents.Wethuslackobservationsforthecasewheretherearefamilydependentsto includeintheestimation. Field of study (reduced) – Respondents were asked the area of their basic training as a proxyforindividual’sdistinctinclinationsorpsychologicaltraits.Afewadjustmentswere madeinthisvariable.Firstofall,fortherespondentswhowereagedunder23yearsthat stated an area of study different from the one providedbythefacultyofenrolment,we assumedthattheareaofstudywasactuallytheoneavailableatthefacultyofenrolment becausetherespondentmighthaveinterpretedtheareaofstudyastheonehefollowedin highschool.Inthecaseofstudentsthatwereagedmorethan23yearswemaintainedthe FieldRed areaofstudyevenifitwasdifferentfromtheareasprovidedbytheFacultyofenrolment astherespondentmightbeenrolledinasecondlevelofstudyinadifferentarea.Finally, we grouped the responses from three areas and categorized them under “Other”. This category includes the respondents from Arts, Sports and Law. This procedure was necessarytoguarantee a minimumnumberofresponsespercategory.Thustheareasof trainingconsideredintheestimationoftheregressionswereExactSciences,Humanities, EconomicsandManagement,Engineering,PsychologyandEducationalSciences,Health SciencesandOther(Arts,SportsandLaw). VictimofcrimeThisvariablerepresentsiftherespondenthaspreviouslybeenthevictim Vcrime ofacrime.

Theseverityofthephysicalinjuriesandpsychologicaldamagessufferedinacrimecould Physicalinjuries bestatedbytherespondentusingfivelevelsofseverityrangingfrom“noinjuries”to“very serious injuries”. For practical purposes we decided to group them in three levels of severity:noinjuries,someinjuriesandseriousinjuries.As80%ofrespondentsreported havingsufferednodamageswecreatedadummyvariablethatgroupedbothphysicaland Psychologicaldamages psychological consequences of a crime: the variable represented the situation of “no injuries”vs“someinjuries”.

Fearofcrime–Thisvariableillustratestheanswersrespondentsgavewhenaskedifthey Fear worriedaboutbeingvictimsofaviolentcrime.Three possible answers were presented: doesnotworry,worriesmoderately,worriesalot. LockDoor LockthedoorRespondentscouldansweryesornotousuallylockingthedoorathome Paymentvehicleandpolicy–Respondentscouldstatepayingmore,thesameorlesswhen PV confronted with the possibility of risk reduction being achieved by increasing policing financedbyhighertaxes.

36 Table A3: Correlation matrix Victim Family Field Crime Fear of Lock Payment Dummy _ Variables lnWTP Age Gender Income past 5 elements reduced victim crime Door vehicle injuries years

*** ** lnWTP 1 0.069 ** 0.146 *** 0.043 0.025 0.051 * 0.050 * 0.244 *** 0.082 0.045 0.065 0.007

** Age 1 0.078 *** 0.056 * 0.287 *** 0.135 *** 0.018 0.001 0.018 0.006 0.061 0.025

* *** *** *** Gender 1 0.144 *** 0.006 0.080 *** 0.243 ** 0.149 *** 0.053 0.113 0.166 0.079

* Income 1 0.316 *** 0.065 ** 0.078 *** 0.66 ** 0.008 0.025 0.035 0.053

** Family elements 1 0.144 *** 0.003 0.006 0.076 0.18 0.026 0.002

Field reduced 1 0.028 0.016 0.012 0.031 0.009 0.003

*** *** Crime victim 1 0.052 * 0.001 0.031 0.689 0.387

*** * Fear of crime 1 0.151 0.043 0.058 0.049

Lock Door 1 0.049 0.016 0.026 Payment vehicle and 1 0.004 0.007 policy *** Victim past 5 years 1 0.299

Dummy_injuries 1

Legend : *** (** )[*]statisticallysignificantat1%(5%)[10%]level

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Proença, “ Inhibitions and implications associated with Nº 360 celebrity participation in social marketing programs focusing on HIV prevention: an exploratory research”, February 2010 Ana Maria Bandeira, “ Valorização de activos intangíveis resultantes de actividades de Nº 359 I&D”, February 2010 Nº 358 Maria Antónia Rodrigues and João F. Proença, “ SST and the Consumer Behaviour in Portuguese Financial Services”, January 2010 Carlos Brito and Ricardo Correia, “ Regions as Networks: Towards a Conceptual Nº 357 Framework of Territorial Dynamics”, January 2010 Pedro Rui Mazeda Gil, Paulo Brito and Óscar Afonso, “ Growth and Firm Dynamics with Nº 356 Horizontal and Vertical R&D”, January 2010 Aurora A.C. Teixeira and José Miguel Silva, “ Emergent and declining themes in the Nº 355 Economics and Management of Innovation scientific area over the past three decades”, January 2010 José Miguel Silva and Aurora A.C. Teixeira, “ Identifying the intellectual scientific basis of Nº 354 the Economics and Management of Innovation Management area”, January 2010 Paulo Guimarães, Octávio Figueiredo and Douglas Woodward, “ Accounting for Nº 353 Neighboring Effects in Measures of Spatial Concentration”, December 2009 Vasco Leite, Sofia B.S.D. Castro and João Correia-da-Silva, “ A third sector in the core- Nº 352 periphery model: non-tradable goods”, December 2009 João Correia-da-Silva and Joana Pinho, “ Costly horizontal differentiation” , December Nº 351 2009 João Correia-da-Silva and Joana Resende, “ Free daily newspapers: too many incentives Nº 350 to print?” , December 2009 Ricardo Correia and Carlos Brito, “ Análise Conjunta da Dinâmica Territorial e Industrial: Nº 349 O Caso da IKEA – Swedwood” , December 2009 Gonçalo Faria, João Correia-da-Silva and Cláudia Ribeiro, “ Dynamic Consumption and Nº 348 Portfolio Choice with Ambiguity about Stochastic Volatility”, December 2009 André Caiado, Ana Paula Africano and Aurora A.C. Teixeira, “ Firms’ perceptions on the Nº 347 usefulness of State trade missions: an exploratory micro level empirical analysis”, December 2009 Luís Pinheiro and Aurora A.C. Teixeira, “ Bridging University-Firm relationships and Open Nº 346 Innovation literature: a critical synthesis”, November 2009 Cláudia Carvalho, Carlos Brito and José Sarsfield Cabral, “ Assessing the Quality of Public Nº 345 Services: A Conceptual Model”, November 2009 Margarida Catarino and Aurora A.C. Teixeira, “ International R&D cooperation: the Nº 344 perceptions of SMEs and Intermediaries”, November 2009 Nuno Torres, Óscar Afonso and Isabel Soares, “ Geographic oil concentration and Nº 343 economic growth – a panel data analysis”, November 2009 Nº 342 Catarina Roseira and Carlos Brito, “ Value Co-Creation with Suppliers”, November 2009 José Fernando Gonçalves and Paulo S. A. Sousa, “ A Genetic Algorithm for Lot Size and Nº 341 Scheduling under Capacity Constraints and Allowing Backorders”, November 2009 Nuno Gonçalves and Ana Paula Africano, “ The Immigration and Trade Link in the Nº 340 Integration Process”, November 2009 Filomena Garcia and Joana Resende, “ Conformity based behavior and the dynamics of Nº 339 price competition: a new rational for fashion shifts”, October 2009 Nuno Torres, Óscar Afonso and Isabel Soares, “ Natural resources, economic growth and Nº 338 institutions – a panel approach”, October 2009 Ana Pinto Borges, João Correia-da-Silva and Didier Laussel, “ Regulating a monopolist Nº 337 with unknown bureaucratic tendencies”, October 2009 Pedro Rui Mazeda Gil, “ Animal Spirits and the Composition of Innovation in a Lab- Nº 336 Equipment R&D Model”, September 2009

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