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World Development Sustainability
journalhomepage:www.elsevier.com/locate/wds
Education and health in developing countries: Evidence from Ghana’s FCUBE
Gabriel Aboyadana
∗Department of Economics, University of Strathclyde, Glasgow, United Kingdom
1. Introduction
Foralongtime,ithasbeenobservedthatpeoplewhohavemoreedu- cationtendtobehealthier[5,7–9].Somesuggestthatthereasonforthis isbecausebetter-educatedpeoplehavebetterlabourmarketoutcomes whichprovidethemwithhigherincomewithwhichtheyareabletoac- cessqualityhealthcare[5,28].Othershavealsosuggestedthatschool- ingdevelopscognitiveskillswhichenhancehealthdecision-makingand theadoptionofpositivehealthbehaviour[38,44].Atthenationallevel, theUNDPhealthindex[51]andnationalliteracyrates[11]revealthat onaverage,themoreliteratecountriesalsohavehigherhealthindices.
Thereis,however,noconclusiveevidencethatsuggeststhatthisrela- tionshipiscausalinnature[28,55].Whileafewstudieshavepursued thepathoffindingcausalrelationshipsindevelopedcountries,partic- ularlyintheUSandUKinthelastdecade,thesamecannotbesaidfor developingcountries[18,22,23,25].Thispaperextendsthefrontiersof thisstrandof researchbyexaminingdatafromanaturalexperiment originatingfromanearlychildhoodpolicyinGhana,adevelopingcoun- try.
Thisstudycontributestoourunderstandingoftheeducation-health nexus by examining the causal relationship between education and health.Therearerelativelymorestudiesthathaveshownthatthereis acorrelationbetweeneducationandhealth.Studiesconcernedwiththe causalityofthisrelationshiparehoweverlimited.Thesmall(butfast- growing)literatureinthisarea,however,presentsmixedresults[5,28]. Forinstance,[14]and[34]exploredcompulsoryschoolinglaws,asa sourceof exogeneityin Britainandconcluded thatwhilethose poli- ciesincreasedaverageyearsofschooling,therewasnocausaleffecton healthoutcomes.Albarranetal.[5]obtainasimilarconclusionusing cross-countrydataforEurope.Oneexplanationsuggestedforthosere- sultsisthatthegeneralqualityof,andaccesstohealthcarein those countriesarehighsothatthereislittlevariationbasedoneducational attainment.Otherstudiessuchas[15]however,usingdataforBritain andexploitingthesamecompulsoryschooling laws,findverystrong causaleffectsofeducationonhealth.Thispapercontributestothisdis- cussionbyprovidingnewevidence.
The evidence supporting both sides of the discussion above has mostlybeenfromEuropeancountriesandtheUS.Theevidencefrom developingcountriesislimited.Thisisnotedinrecentreviewsofthe
∗Correspondingauthor.
E-mailaddress:[email protected]
literaturebyHamadetal.[28]andArcayaandSaiz[8].Asearchofthe literature showsthatthefewstudiesondeveloping countrycontexts mostlyexaminethefertilityeffectsofeducation.ThereviewbyHamad et al.[28]forinstance,foundone publishedin Africa(fromKenya) whichexaminedsexualhealth.Also,Ifind[46],forNigeria,[10]for Ghanaand[35]forUganda,allofwhichexaminedfemalefertilityef- fectsofschooling.Thisstudyexaminesotheroutcomesinadditionto fertility. Iamnot awareof anyotherstudyon Africathatexamines other outcomesbesides fertility.Moststudiesexaminedfemale data.
Thepresentstudyhoweverincludesdataformenforsomevariables.
Thispaperalsoexaminestheeffectofauniversalschoolfeewaiverat thebasiceducationlevel.Universalprimaryeducation(UPE)hasbeen implemented inotherAfricancountries.Thisincluded6years offree primaryeducation.However,Ghana’sversionofthepolicyincluded3 yearsofjuniorsecondaryschool;atotalof9years.Uganda’sUPEhas beenexploitedusingasimilarmethodologybyKeats[35].Thepolicies examined in developedcountrieshave beenat thesecondary school level. It hashowever beenshown thatearlyeducation interventions areimportantforlong-termoutcomes.Thispaperexaminesthelong- termhealtheffectsofanearlychildhoodeducationpolicy.Thefactthat schoolfeepolicieshavenotbeenpreviouslystudiedmakesthefindings ofthispaperrelevantforpoorcountriesandfordevelopedcountriesthat experiencehealthinequalitiesresultingfrominter-generationalpoverty.
Theidentificationstrategyreliesonthediscontinuityinschoolat- tainmentasaresultoftheFCUBE1policyin1996andtheassumption thatobservationsclosetotheeligibilitythresholdareasgoodasran- domized.Pupilsenrollinginprimaryoneatdifferenttimesaroundthe policyimplementationyearreceiveddifferenttreatments.Ianalyzethis asanaturalexperimentinaregressiondiscontinuityframeworksuch that thoseclosetotheimplementationboundaryreceivedeither full treatmentoratleastoneyearlessoftreatment.Theunitsofanalysis inthisstudyaretheresidentsofGhana,asmallemergingeconomyin WestAfrica.Ghana’sethnicdiversityislikeotherAfricancountries.Its politicalstabilityoverseveraldecades,andtheECOWAS2policyoffree movementwithinthesub-regionhasmadeithometomillionsofpeo- plefromotherWestAfricancountries.Thisregionalcharactermeansthe
1FreeCompulsoryUniversalBasicEducation.
2EconomicCommunityofWestAfricaStates.
https://doi.org/10.1016/j.wds.2022.100041
Received4June2022;Receivedinrevisedform3December2022;Accepted22December2022
2772-655X/© 2022TheAuthor(s).PublishedbyElsevierLtd.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/)
studyfindingsarerelevantforotherwest-Africanscountriesassomeof thesecountriesplantoimplementsimilarpolicies[41].
Thisstudyissimilarto[10]inthatthetwostudiesarethefirstto haveexaminedtheimpactoftheGhanaFCUBEonhealthoutcomesand bothuseidenticalestimationstrategies.However,[10]pooldifferent wavesofthesurvey,usetheyearofbirthascohorts,andselect1989as thecut-off year.Thisapproachassumesthatallchildrenborninagiven yearstartschoolinthesameyear.However,becausetheschoolyear startsinAugustorearlySeptember,childrenbornin thelastquarter arerequiredtoenrolinthefollowingschoolyear.Thisalsomeansthat childrenareexposedtotheFCUBEpolicyinone-yearincrements.The approachItakeinthispaperistodefineanannualcohortaschildren borninorafterAugustuptoJulyofthefollowingyear.Thatis,Idefine acohortaspeoplestartingschoolinthesameacademicyearinsteadof peopleborninthesamecalendaryear.Thisapproachallowsthecut-off pointintheregressiondiscontinuitytobepreciselydetermined.Thisre- flectsthefactthatchildrenborninJanuaryandDecemberofthesame yearwillstartschoolindifferentyears.Thatis,allthingsbeingequal, thoughtheyareborninthesameyear,theywouldstartschoolindiffer- entyearsandreceivedifferenttreatments.Thusthecohortstotheright ofthecutoff serveasplacebochecks.Beingbornclosertotheofficial schoolstartmonth(mostlylateAugustuptomid-September)increases theprobabilityofreceivingthefulltreatment.Usingtheyearofbirth masksthis.Nonetheless,Icheckfortheexistenceofdiscontinuityusing adefinitionsimilarto[10]andanalternativedatasettoverifythatthe approachusedhereisrobust(seeFig.A.7).
I give an overview of the study context in Section 2 and de- scribethedataandmethodsinSection3.Theresultsarediscussedin Sections4and5concludes.
2. Thestudycontext 2.1. Theeducationsystem
Ghana’scurrenteducationsystem,introducedin1987, includes2 yearsofnon-compulsorykindergartenfromage4to6;6yearsofpri- mary school from ages6 to12; 3 yearsof junior secondary school from ages 12 to 15; 3 years of senior secondary school (or voca- tional/technical school) fromages 15 to18;qualifyingstudentscan thenenrolfortertiary education. Basiceducationin Ghanais classi- fiedtoincludeprimaryschoolandjuniorsecondaryschoolandpupils arerequiredtotakeaschool-leavingexamcalledtheBasicEducation CertificateExam(BECE)inthefinalyearofjuniorsecondaryschool.
TheBECEexaminesthesyllabusofthejuniorsecondaryschool,which comprises8compulsorysubjectsand2optionalsubjects(aGhanaian languageandFrench).Pupilsmustobtainatleast6passes,whichmust includeEnglish,Maths,andIntegratedScience,tobeabletoprogressto seniorsecondaryschool.Theytake8subjectsinsecondaryschooland mustpassatleast6ofthem(includingEnglish,Maths,andGeneralSci- ence)intheWestAfricaSecondarySchoolCertificateExam(WASSCE) toqualifyforadmissionintotheuniversityandotherpost-secondary educationalinstitutions.Studentsrequireatleast50%topassasubject [53].
Until1987,theeducationalsystemconsistedof6yearsofprimary school,4yearsof middleschool,5yearsofsecondary school,and2 yearsofsixthform;atotalof17years.Thepoliticalandeconomicevents prior,togetherwithdeterioratingeducationalinfrastructureledtoade- creaseinschoolenrolmentbymorethan100,000andstagnateduntil 1986/1987.Governmentspendingoneducationalsoreducedfrom6.4 to1.5%ofamuchlowerGDPby1984[42].Theseeventsledtothe deepeningofinequalityinschoolenrolment[4].Byreducingtheyears ofpre-tertiaryschoolto12years,thesavingswerechannelledtoexpand theinfrastructureandreversethedeclineinenrolment.Theseinterven- tions,however,didnotleadtoarapidincreaseinenrolmentuntilafter theimplementationofFCUBEin1996.
2.2. Thepolicy
The1992constitutionmandatedthegovernmenttomakebasiced- ucation fee-freeandcompulsory,hencetheFCUBEpolicywasimple- mented intheschoolyearstartinginAugust1996[4].Priortothis, the1961EducationAct(Act87)hadmadeeducationtuition-freebut pupilswererequiredtobuybooksandpayforothercosts.Thispolicy wasdiscontinuedafterthecountry’sfirstpresidentwasoverthrownina coupd’étatin1966(see[21]and[4]foradetailedhistoryofeducation inGhana).Variousformsofadditionalcostwereintroducedandenrol- mentdeclineduntiltheFCUBEpolicywasimplementedin1996.Besides eliminatingfeesandlevies,theFCUBEpolicyrequiredthegovernment toprovidebooksandotherlearningmaterialspupilsneededforschool.
Intheyearsfollowing,thegovernmentintroducedfreeschoolmealsand freeschooluniforms[49].Thus,theFCUBEpolicysoughttoeliminate allformsofdirectmoneycost.Toimprovequality,thegovernmentalso embarkedonalarge-scaleexpansionofeducationinfrastructureacross thecountryandtrainedmoreteacherstoteachatthebasicschoollevel andreducedthenumberofuntrainedteachersitemployed.
Unlikeotheruniversalprimaryeducationpoliciesthathavebeenim- plementedinotherAfricancountries,Ghana’sFCUBEeliminatedfeesfor allpupilsatthebasiclevel,notjustforthosewhoenteredprimaryschool aftertheimplementationofthepolicy.Thismeansthatallchildrenen- rolledinprimaryandjuniorsecondaryschoolfrom1996benefitedfrom thepolicyregardlessofthegradetheywereat.
3. Empiricalstrategy 3.1. Studydesign
ChildreninGhana arerequiredtoenrolin primaryschoolin the academicyearstartingaftertheir6thbirthday.Thepolicyimplementa- tiondatewastheacademicyearstartinginAugust1996.Thus,children bornafterAugust1989uptoAugust1990werethefirstcohortthepol- icytargetedforfulltreatment.Asaresult,August1989ischosenasthe cut-off foreligibility.Thisallowsforanalysingtheimplementationof theFCUBEwithintheframeworkofaregressiondiscontinuitydesign (RDD).TheFCUBEpolicywashowevernotimplementedstrictly.This generatesnon-complianceoneithersideofthecut-off point.Thisnon- complianceimpliesafuzzyRDDandcapturesanintent-to-treateffect.
The analysisproceedsasfollows. First, Iselectanoptimalband- width3[12,31,32]fromthefullsampleofadultsfromtheDHSdataset andIestimatetheimpactofthepolicyonattainment.Secondly,Ies- timatetheeffectsofschoolingonvarioushealthvariables.Thisstudy seekstoisolatethecausaleffectofschoolingonhealth.Icomparethe averagehealth(𝐻)outcomesforthebirthcohorts(𝑐)whowereexposed tofulltreatment(𝐷=1)andthosewhowerenot(𝐷=0).Thatis:
𝐸[𝐻1𝑐|𝐷𝑖=1]−𝐸[𝐻0𝑐|𝐷𝑖=0]=𝐸[𝐻1𝑐−𝐻0𝑐|𝐷𝑖=1] (1) Iestimatetheeffectofassignmenttofulltreatmentatthetimeof enrolmentonschoolingusingspecification2:
𝑆𝑖𝑐=Υ0+Υ1𝐷𝑖𝑐+𝑓(𝑅𝑖𝑐)+𝕏′𝑖𝑐Υ2+𝜀𝑖𝑐 (2) WhereSistheyearsofschoolingcompleted,Disthedummyforwhether anindividualwasassignedtoreceive9yearsoffeewaiver.Ris the centredrunningvariable(measuresage),centredat0.Thus,months priortoAugust1989takenegativevalues,andthosebornafterAugust 1989takepositivevalues,ineachcase,atincrementsof1.August1989 takesavalueof0.𝕏isavectorofcontrols.Itsinclusioninthefirststage reducesthevariationintheresidualandsoimprovestheefficiencyof theestimates.Thefunction𝑓(⋅)estimatestherelationshipbetweenthe outcomeandbirthcohort.Theerrorterm,𝜀capturesotherfactorsthat
3Theoptimalbandwidthisarangeofobservationsselectedcloseenoughto thecut-off pointtominimizebiasintheestimation.see[12,31,32]fordetailed discussions.
mayaffectschoolingbesidesthecontrols.Theparameterofinterestis Υ1.ItcapturestheeffectofFCUBEonschooling.Thesubscriptsiandc areindividualandcohort,respectively.Aninteractiontermisincluded tocapturetheeffectofdifferencesinslopeoneithersideofthecut-off.
IestimateEq.(3)inthesecondstageoftwostageleastsquare(2SLS) withEq.(2)asinstrument.
𝐻𝑖𝑐=𝛽0+𝛽1𝑆𝑖𝑐+ℎ(𝑅𝑖𝑐)+𝑋𝑖𝑐′𝛽2+𝜐𝑖𝑐 (3) Where𝐻𝑖𝑐ishealthforindividualiincohortc.Othervariableshavethe samedescriptionasbefore.Thefunctionℎ(⋅)capturestherelationship betweenbirthcohortandhealth.𝛽1capturestheeffectofanadditional yearoffeewaiverand𝑋′isavectorofothercontrolsandaninteraction tocapturedifferencesinslopeoneithersideofthecut-off.Iestimate 𝛽1via2-stageleastsquareusing𝐷𝑖𝑐astheexcludedinstrumenttoob- tainanestimateofthehealthreturntoadditionalschoolinginducedby assignmenttoanextrayearoffeewaiver.
3.2. Internalvalidity
Theliteraturesuggeststwowaystoimplementregressiondiscon- tinuityanalysis[31–33]. Theparametricestimationcharacterisesthe treatmentasadiscontinuityatthecut-off andfindsanoptimalspeci- fication(functionalform)tofitthedata.Thenonparametricapproach, ontheotherhand,characterisesthetreatmenteffectaslocalrandomi- sationandfindstheminimumdatathatfitsalinearspecification.While theparametricapproachproducesmoreefficientestimates,biasismore likely.Thereverseistrueforthenonparametricapproach.However,a trade-off infavouroflessbiasispreferred(see[32]fordetaileddiscus- sion).Consequently,Ifollowthenonparametricapproachwhichisalso themorepreferredintheliterature.Thisapproachisunderpinnedby theassumptionthattheconditionalexpectationof outcomesbybirth cohortsissmooththroughthecut-off point(R=0).Hence,anydiscon- tinuitycanbeattributedtothecausalimpactsofthepolicy.Theop- timalbandwidthallowsforacomparisonofthosewhowerebornlate enoughtobeexposedto9yearsoffee-freeschoolingandthoseborn earlyenoughtoreceive8yearsoffee-freeschooling[27].
Threeimportantconcernsmayberaisedregardingtheabilityofthe FCUBEasanaturalexperimenttorecoverthepolicyeffect[37].The firstisthatparentsofchildrenfrompoorhouseholdsarelikelytodelay enrollingtheirchildreniftheyknowthepolicyimplementationdateto benefitfromthepolicy.This ishowevernotlikelytohavehappened becauseallchildrenin schoolweregoingtobenefitfrom thepolicy regardlessofthegradetheywereinasofAugust1996.Sincethepol- icywasannouncedin 1995,ifthisconcernholds,there wouldhave beenasignificantdeclineingrossenrolmentin1995.Datapresented byAkyeampong[4]howevershowsthatgrossenrolmentin1994was comparableto1995.Theyobserveasharpincreaseonlyfrom1996(see Fig.2).Moreover,theannouncementwasmadewhentheschoolyear hadalreadystarted.
Asecondconcerniswhethertheexclusioncriterionislikelytohold.
Apotentialproblemisthatothergovernmentpoliciesarelikelytohave occurredatthesamecut-off.Tothebestofmyknowledge,nootherpol- icywasimplementedwhoseeligibilitycriteriafortreatmentissimilar totheFCUBEorwhichonlyaffectedaportionoftheobservationsinthe optimalbandwidth.Furthermore,ifanyprivateeducationalinvestment createdadiscontinuityatthecut-off,thiswouldaffecttheinternalva- lidityoftheresults.Itwillimplythattheestimatesareacombinedeffect ofboththeprivateinvestmentsandthepolicy;hencetheeffectswillbe overestimated.Theexclusioncriterionistestedbyexaminingpretreat- mentvariables[33]. Thebestpretreatmentvariablesinthedataare ethnicityandreligion.Iconductatwo-samplet-testtocheckforthis.
Theresultisasshownintheappendix.Togetherwithotherformaltests inFig.3,thereisnoevidenceofmanipulation.
Finally,becausesurveydatawasused,concernsmayberaisedre- garding social desirability bias and recall bias, particularly for self- reportedvariables.Inthecaseoftheformer,peoplemayanswerques-
tionsinawaythattheyconsidertocast themin agoodlight inthe eyeofsociety.Forinstance,ifsmokingcarriesasocialstigma,aperson whosmokesmayfailtodisclosethetruthabouttheirsmokingstatus or thesubstancetheysmoke.While thisislikely,itis notavoidable insurveys.However,itseffectsarenotlikelytobesignificant.Inany case,thesummarystatisticsforthevariablesthatcouldpossiblycarry astigma(example:SmokingandSexualInfections)areconsistentwith officialestimatesinotherdatasets.Inaddition,becauserespondentsare interviewedindividually,andbyastrangerwhovisitsinanofficialca- pacity,respondentsarelikelytofeelmoreconfidenttodiscloseaccurate information.Recallbias,ontheotherhand,islikelytobeminimalsince informationonthevariablesusedinthisstudyisusuallyaboutrecent events.Inthecaseofothereventsthatmayhaveoccurredinthedistant past,theseareoftenmajoreventsthatareunlikelytobeforgotten.For instance,apersonisunlikelytoforgetthattheyendedtheirschooling atthesecondaryschoollevel.
3.3. Otherestimationissues
Itiswellestablishedintherelatedliteraturethateducationisen- dogenouspartlybecauseschoolingisachoicevariable.Thisendogeneity hasbeenshowntheoreticallytoarisefromomittedabilitywhichcorre- lateswiththechoiceofyearsofschoolingandhealthoutcomes.That said,[25]and[39]foundfromusingtwinsdatathatunobservedability mightbeuncorrelatedwithschoolinglevel.Measurementerrorsinyears ofschoolingcouldalsoaccountforendogeneity.Measurementerrorsare likelytobesmallbecausetheschoolingdataisreliable.Iconfirmthat yearsofschoolingisendogenousinthedatausingWooldridge’stest.
Theendogeneityproblemisaddressedbyusingassignment-to-full- treatmentstatusasaninstrumentinthesecondstageestimates.Icon- firmthevalidityandstrengthoftheinstrumentusingtheKleibergen- Paap Rank LM (F) test, Cragg-Donald Wald test, Stock-Yogo, and Hansen’sJ-testinallspecifications.Usingalargesampleprovidesad- ditionalefficiencygains,whichisimportantinanonparametricestima- tion[26].Reversecausalityisalsoaconcerninempiricalstudies.For instance,pupilsmaydropoutofschoolduetoillhealth[17,30,40].The GhanaLivingStandardsSurvey(GLSS7)showsthatillhealthaccounted forasmallpartofthereasonsfornotattendingschool.Instead,itshows thatthemostimportantreasonwasfinancialandthisisaddressedby thepolicy.Besides,thisconcernismitigatedbytheresearchdesign.
Following the recommendations by Abadie et al. [1] and Nunn [43]standarderrorsareclusteredatthelevelofsurveyclusters.This approachtoclusteringyieldsstandarderrorsthatarerobustagainstar- bitrarypatternsofwithin-clustervariationandcovariation[13].Clus- teringatsurveyclustersisusefulbecausewhilerespondentsareidentical acrosscohorts,theircharacteristicsmaydifferbylocation;inthecon- textofthisstudy,socialandeconomicstatuscanvarymuchwithinand betweenclusters.Asectionoftheliteraturealsoclustersatthelevelof runningvariables.Thepointestimatesremainrobusttoclusteringatthe leveloftherunningvariable.Thestrengthoftheinstrument,however, becomessensitivetoalternativebandwidthsinthisapproach.Ireport resultsfortheformeronly.Asexpected,thepointestimatesandcon- clusionsremainrobusttonotclustering.Forbrevity,onlytherelevant mainresultsarereported.
3.4. Data
The Dataset: This study analyses data from round sevenof the GhanastandardDHSconductedfromSeptembertoDecember2014by theUSAID4fundedDHS5Program.RoundsevenoftheGhanaDHSsur- veyincludesadultfemalesinallsampledhouseholdsbetweenages15 and49yearsandmalesinselectedhouseholdsbetweenages15and59
4UnitedStatesAgencyforInternationalDevelopment.
5DemographicandHealthSurveys.
Table1
Summarystatistics.
Variable Mean (SD)
Smokes 0.0172 (0.1512)
Antenatal Visits 6.1668 (2.75)
Fertility Intention 3.979(1.2121)
Healthy Eating 3.6156 (2.4127)
Weight for Height 0.0067 (0.1131)
Body Mass Index 23.9794 (4.0553)
Notes:Dataisfromthe2014GhanaDemographicandHealthSur- veys.Meansarepresentedfortheoptimalbandwidth.Standardde- viationsareinparentheses
years.Theoptimalbandwidthforthisstudyincludesrespondentswho werebetween22and28yearsonthesurveydate.Summarystatistics arepresentedinTable1anddiscussedbelowforrespondentsintheop- timalbandwidth.Dataforsomevariablesareavailableforonlymales oronlyfemales.Wherethisisthecase,thediscussionhighlightsit.
Table1reportsthesummarystatisticsfortheoutcomevariablesin this study.ThevariableSmokesis anindicatorvariableforwhether anindividualsmokesanysubstances.FertilityIntentionismeasured asthetotalnumberofchildrenonewantstohaveortheiridealnum- ber of children.Healthy Eating is defined as howmany days in a weekarespondentatevegetables.AntenatalVisitsisthetotalnum- ber oftimes a womanvisitedthehospitalor healthcentrefor ante- natalcareduringherlastpregnancy.RiskofObesityismeasuredus- ingBodyMassIndexandStandarddeviationofWeightforHeight.The DHS surveymeasuresrespondents’ heightandweightandcalculates bodymassindex(BMI)fromit.Highervaluessignalahighriskofvar- iousdiseases.HighBMIisassociatedwithhealthconditionsincluding type2diabetes,highmortality,andobesity.ThemeanBMIof24puts theaveragepersonintheoverweightcategory.Weightforheightin- dexmeasuresthebodymassofindividualsrelativetotheirheightand isanindicatorofcurrentnutritionalstatus[45].Theindexexpressed asastandarddeviationshowswhetherapersonismalnourished (in- cludingbeingoverweight).Itisacomparisonofweightsofindividuals
Fig.1. DiscontinuityinSchoolingNotes:ThisfigureshowstheincreaseinschoolattainmentasaresultoftheintroductionofFCUBEusingdifferentmeasuresof schoolattainment.TotalYearsofSchoolingismeasuredinsingleyears.Highestlevelofeducationattendedismeasuredfrom0to3;where0isnoeducation(person hasneverbeenenrolledinschool),1is“attendedprimaryschool(includingJuniorSecondarySchool)”,2is“attendedsecondaryschool” and3isattendedhigher education”.Allothermeasuresofschoolingareindicatorvariables.
Table2
Firststageestimateswithdifferentbandwidths.
32 months (Optimal bandwidth) 12 months 24 months 36 months
(1) (2) (3) (4) (5) (6) (7) (8)
Dependent variable = Total number of years of education
Assigned 1.4697 ∗∗∗ 1.2797 ∗∗∗ 2.4484 ∗∗∗ 2.2248 ∗∗∗ 1.8572 ∗∗∗ 1.7021 ∗∗∗ 1.3709 1.1717 ∗∗∗ (0.4064) (0.3638) (0.6334) (0.5607) (0.4533) (0.3973) (0.3807) (0.3485)
Observations 2,333 2,332 959 959 1,774 1,773 2,626
F-stat 13.08 12.37 14.94 15.74 16.78 18.35 6.79 41.65
Controls No Yes No Yes No Yes No Yes
Notes:Thistableshowsthefirststageresults.Columns(1),(3),(5)and(7)donotincludecontrolsandcolumns(2),(4), (6)and(8)includecontrolsforethnicityandreligion.ItshowstheaverageeffectoftheFCUBEpolicyonthetotalnumber ofyearsineducation.Thepolicywasintendedtogetpupilsintoschoolandtokeepthemenrolledforatleast9years.
Usingtheoptimalbandwidth,theresultsshowthattheadditionalyearoffeewaiverincreasedthetotalyearsofschooling completedbyabout1.5years.Thissuggeststhatthepolicywaseffective.Standarderrorsareclusteredatthesurveyclusters andreportedinparentheses∗∗∗𝑝<0.01,∗∗𝑝<0.05,∗𝑝<0.1.
Fig.2. GrossEnrolmentRateThisgraphisfrom[4].Itshowsgrossannualpri- maryschoolenrolmentforGhana.Thegrossenrolmentratewasstablearound 80%andwithadownwardtrendupto1995butrisescontinuallyfrom1996, theyeartheFCUBEwasimplemented.
withidenticalheightsgloballyusingaWHObenchmarkweightfortheir height.
4. Resultsanddiscussion
4.1. Schoolfeewaiversincreasedattainment
TheFCUBEpolicyhadaspartofitsobjectivestoincreaseenrolment, reducedropout,andconsequentlyincreasetheaveragetotalyearsof schoolingcompleted.Thefirststageresultssuggestthatthepolicywas effectiveinachievingtheseobjectives.Fig.1showsthelocalaverage effectoftheFCUBEpolicyontheyearsofschoolingcompletedusing thecohortsclosesttotheassignmentthreshold.Anoptimalbandwidth of32monthswasselectedusingthe[12]localpolynomialbandwidth selectionmethod.ThecorrespondingregressioninTable2showsthat theaverageeffectofthepolicywasupto1.5yearsmoreforthecohorts whowereassignedto9yearsoffeewaiver comparedtothosewho wereassignedtoreceivefeweryearsoffeewaivers.Thissizeiscloseto 1.4yearsfrom[44]’sfirststage;sheusedNigeria’s1976UPE.
Thesizeof theeffectsgetslargerwith narrowerbandwidthsand smallerwithwiderbandwidths,asexpected(seeFig.A.9).Backofthe envelopeestimatesusingalladultsinthesurveyshowadifferenceof 1.7years,similar towhat[44]findsfor Nigeria.Icheck forthero- bustnessofthepolicyeffectestimatestofunctionalforms.Theresults aresummarisedin Fig.A.8. Itshowsthatthepolicy effectsarewell withinidenticalrangesregardlessofthefunctionalformselected.Using
theInformationCriteria(BIC,AIC),thelinearinteractionformisimple- mented.Thisisalsoappropriategiventhedifferencesinslopeonboth sidesofthecutoff[33].
4.2. Educationimproveshealth
HavingestablishedthattheFCUBEpolicyhasapositiveimpacton yearsofschoolingcompleted,Inowdiscussitsimpactonhealth.The healthoutcomevariablesincludedinthisstudyalsoreflecthealthbe- haviours.Theexpectationisthatpeoplewhohavehighereducational attainmentwillhavebetterhealthbehaviourbecausetheycanaccess informationonhealthylivingandareabletoprocesssuchinformation better.Also,theyhavebetterlabourmarketoutcomes.
ThefirstsetofresultsispresentedinTable3.Thesecondsetofre- sultsispresentedinTableA.5.Themaindifferencebetweenthetwo setsisthatthealgorithmofthesecondselectsadifferentoptimalband- widthforeachoutcomevariable.Thesebandwidthsarereportedinthe resultstableforinformation.Ontheotherhand,thefirstsetusesasingle bandwidth,whichwasdiscussedearlier.
OLSestimatesmaybebiasedupwardsduetounobservedfactorssuch asinnateabilityorbiaseddownwardsduetomeasurementerrors.These areamelioratedbytheinstrumentusedintheIVestimatesgiventhat theeligibilitycriteriaforassignmenttofulltreatmentforFCUBEarenot manipulatedandalsogiventheplacebo.TheIVresultsareinterpreted astheeffectof1yearofschoolingcompleted.Thereducedform(RF) resultsareinterpretedastheeffectofthefeewaiverpolicy.Thecon- clusionsarestableacrossIVandRFestimates.Eitherofthetwolatter resultsisinterestingbutwithinaregressiondiscontinuityframework, theRFestimatesaremoreinformativehencethediscussionthatfollows isbasedonthereducedformestimates.Nonetheless,OLS,IVandRF estimatesareallpresentedinallcases.
WhencomparingtheIVandRFestimates,onemustkeepinmind that thepolicyeffectis 1.5yearswhereastheIV resultsmeasure the effectofeachyearofschooling.Comparedthisway,thepointestimates areintuitivelyidentical.Ontheotherhand,theresultsinTableA.5are interpretedastheeffectsofthepolicyonthosewhoweresufficiently close tobetreated oruntreated. Thatis thelocalaverage treatment effect(LATE).Innearlyallcases,theresultsshowapositiveimpactof thefeewaiveronhealth.
4.2.1. Educationreducesthelikelihoodofsmoking
Resultsin Table3show thatbeing inthecohorts assignedtoan extrayearoffeewaiverreducesthelikelihoodthatanindividualwill beasmokerbyabout2.6%.TheestimatesinTableA.5areclose.This effectissignificantrelativetothesamplemean.Thatmeansthatthe cohortswhowereassignedtoreceivethefulltreatmentweretwiceas likelynottobesmokersatthetimeofthesurveycomparedtothosewho wereassignedtoreceiveoneyearlessoftreatment[17].makesacom-
Fig.3. ManipulationNotes:[12]methodisused.Therunningvariableisthecentredmonthofbirthusingthecenturymonthcode.Centredatzero,months increase(decrease)atintervalsofone.Monthstotheleft(right)arethosebefore(after)August1989.August1989iszero,thecut-off point.Thisdefinitionofacohort ismorerepresentativeoftheactualdefinitionofaschoolcohortbuthasnotbeenusedinpreviousstudies.Forrobustness,Iusethecommonmeasureandapreviously useddatasetinFig.A.7toconfirmthatthereisnomanipulation.
Table3
FeeWaiver,SchoolingandHealth.
OLS IV RF OLS IV RF
Panel A
Smokes Healthy Eating
Schooling -0.001 ∗∗ -0.023 ∗ -0.026 ∗∗ 0.005 0.311 ∗ 0.359 ∗∗ (0.001) (0.012) (0.012) (0.012) (0.177) (0.176)
Observations 2,625 2,624
Panel B
Body Mass Index Weight for Height Schooling 0.064 ∗∗ 0.852 0.826 ∗ 0.002 ∗∗∗ 0.049 ∗ 0.048 ∗∗∗
(0.028) (0.666) (0.482) (0.001) (0.028) (0.013)
Observations 992 990
Panel C
Antenatal Visits Fertility Intention Schooling 0.115 ∗∗∗ 1.464 0.8280 ∗∗∗ -0.072 ∗∗∗ -0.289 ∗∗∗ -0.333 ∗∗∗
(0.020) (1.225) (0.288) (0.006) (0.096) (0.085)
Observations 1,161 2,626
Notes:Thistablepresentsestimatesoftheaverageeffectofanadditionalyearofschool- ingonhealthoutcomesandbehaviours.Threeestimatesarepresentedforeachvariable, OLS,IVandReducedForm.InthecaseoftheRFresults,thecoefficientofSchoolingis thedifferencebetweenthoseassignedtoreceivefulltreatmentvrspartialtreatment.
Allestimatesincludecontrolsforethnicityandreligionandthefunctionalformused islinearinteraction.Errorsareclusteredatthesurveyclusterlevelandpresentedin parentheses∗∗∗𝑝<0.01,∗∗𝑝<0.05,∗𝑝<0.1.
pellingcaseforwhyeducationandsmokinghabitsmaybeassociated citingargumentsby[24].Back-of-the-envelopecalculationsshowthat withintheoptimalbandwidth,individualswhohadneverenrolledin schoolwere2.8timesmorelikelytobesmokers.Similarly,individuals whoenrolledbutdidnotcompleteJSSwere3.2timesmorelikelytobe smokersthanthosewhocompletedJSS.Thiscomparesto4timesinthe fullsample.Thisrevealsapossiblespillovereffectonthelargercommu- nity.Thatis,thereisapositivepeereffect.Smokingcanbefashionable ifone’speerssmoke.Thefewerpeerswhosmokeonehas,thelesslikely theyaretobesmokers.
ThemagnitudeofeffectsIfindforGhanaissmallerthan[52]finds fortheUS.HestudiedtheeffectofeducationintheUSusingtheyears ofschoolingabovecollegeasameasureofeducation.Hefindsthatcom-
pleting1yearabovecollegereducesthelikelihoodofsmokingbyabout 5%.ThisisnotsurprisingbecausesmokingismorecommonintheUS thaninGhanaandthemeasureofschoolingissetmuchhigher.Thus, beingeducatedincollege(equivalenttoabachelor’sdegree)meansa personinGhanaisgoingtobemuchlesslikelytosmokethanoneinthe US.However,[29]findseffectstorangefor2.6to3.3%and[17]finds 2.7%,bothforhighschoolgraduationintheUSandUKrespectively.
InanAfricancontext,[16]findthatinSouthAfrica,peoplewhohad droppedoutofschoolbeforeturning20yearsweremuchmorelikelyto besmokers.Currently,about6milliondeathsannuallyareattributable tosmoking[16].Thisisexpectedtoriseto10millionin2030anditis projectedthat70%ofthesedeathswilloccurindevelopingcountries [47].Globally,smokingprevalenceisabout21%forpeople15+.The
rateisevenhigherinsomedevelopingcountries.Forinstance,[16]re- portsa prevalence of 31%in South Africa. The datasetused in the presentstudyplacestheprevalencerateat3.7%forGhana,similarto estimatesby[47]of3.8%.Thismeansthatsmokingisnotabigproblem inGhanaasinotherdevelopingcountries.Nonetheless,[47]finds,as inthisstudy,thatthefewwhosmoketendtobethosewithlowerlevels ofeducation.
4.2.2. Educationimproveshealthyeating
Idefinehealthyeatingasonethatregularlyincludesvegetables.A healthierdietreducesthelikelihoodofillnessandmayacceleratethe healingprocessifoneisill.Respondentsprovidedinformationonhow manydaysintheweektheyincludedvegetablesintheirdiet.Theresults showthatcohortsassignedtoreceiveanextrayearoffeewaiverate healthilymoreoften. Theyate healthilyatleast0.36daysmore per weekthancohortswhoreceivedayearlessoffeewaiver.Thisisabout 10%oftheaveragedaysofhealthyeatingintheweek.
Therecommendedhealthydietisonethathasallnutrientsavail- able.Thehighcostofvegetables,resultingfromhighercostsofproduc- tion,isconsideredanobstacletotheirinclusionindietsregularly[45]. Well-educatedpeoplearemorelikelytounderstandtheimportanceof abalanceddietandsochoosetoeatthemoften.Havingmoreschooling alsoimprovesearningsandmakeshealthyeatingmoreaffordable.
4.2.3. Educatedwomenuseantenatalservicesmore
Maternalmortalityishighindevelopingcountries[54].Healthper- sonnelareabletodetectanypotentialdangerstomaternalhealthor dangerstothebabyinthewombifthemotherattendsregularmedi- calcheckups[2].Thus,antenatalcareisimportantforthehealthofthe motherandforthebaby.Modernantenatalcarepracticescoexistwith traditionalpracticesindevelopingcountries.Itaketheviewthatwomen whohaveattendedmoreschoolingarelikelytohaveamorefavourable dispositiontomodernpracticesandsowouldattendtheclinicwhen pregnant[20].Thisviewissupportedbythefindingsofthisstudy.
Theresultsshowthatthecohortsthatwereassignedanextrayearof feewaiverattendedantenatalcaresessionsabout0.8moretimesthan others.Thisrepresentsabout13%morevisitsthanthemean.Antenatal careisfreeinGhanaatallhealthfacilities.Coupledwiththerangeofac- cessoptions,attendanceisnotconstrainedbycosts.Apossibleexplana- tionisthatbetter-educatedwomenunderstandthebenefitsofantenatal careandsochoosetoattendmoreofit[2].
4.2.4. Educationreducesfertilityintention
Thisfindingisnotsurprisingandinfactnotnew.Manystudiesdocu- mentthisacrossnearlyallcontexts[10,35,36,48,50].Bydesign,respon- dentsareyoungerthan30,sothisvariablesoughttomeasurehowmany childrentheywantedintheiridealfamily.Thatistheirdesirednumber ofchildren.TheresultsinTable3includesbothmalesandfemales.
Theresultsshowthatonemoreyearofschoolingreducesthisap- petiteby about0.33children(8%of themean).The meanappetite intheestimationdatais4childrencomparedto4.8forwomenover 40 intheDHS data.Women over40 areusuallyconsideredtohave completedchildbearingorareveryclosetofinishing.Italsoconfirmsa trendofdecliningfertilityandidealsaroundthefamilysizeinGhana whichhasbeenattributedinparttoanincreasingrateofhighereduca- tion,changinglabourmarketsforwomenandaccesstocontraception options.Thisfindingandinterpretationareconsistentwithaprevious studyonGhana’sneighbour,Nigeria,whereitwasfoundthatanaddi- tionalyearofschoolingreducedfertilityby0.26[46].Bothestimates alsocompareto[6]whoexaminesseveralbirthcohorts,foundeffects rangingfrom0.09and0.36;andsuggeststhattheeffectsofeducation onfertilityvarybycohort.
4.2.5. Educationincreasestheriskofobesityforwomen
Apersonwhosebodymassistoohighfortheirheightisconsidered tobeoverweight orobese.Obesityisafunctionofweightforheight
andhasbeenlinkedtothecausesofseverallife-threateningdiseases.
Theresultsshowthatoneextrayearofschoolingincreasesafemale’s weightforheightby0.05ofastandarddeviation.Bodymassindexalso increasesbyabout0.8forthecohortswhowereassignedtoreceivethe fulltreatment.Whiletheseestimatessuggestanincreasedriskofobesity themeansofthesemeasurementsreportedinTable1isjustunderthe thresholdforobesity.Thiscouldbeexplainedpartiallytobeasaresult ofthesedentarynatureoftheemploymentthathighly-educatedpeople areinvolvedin[3,19]andthefactthatthesepeoplemayalsobeableto affordmorefood.Secondly,thereisasub-culturewherefemaleobesity isassociatedwithbeautyandhavingagoodlife[19].
5. Conclusion
Thispaperexaminedwhetheracausallinkexistsbetweeneducation andhealthbyexploitingtheFCUBEpolicyinGhanaasasourceofex- ogeneityinaFuzzyRDD.Thepapermakesimportantcontributionsto theliteratureasbeingoneofscarcelyanystudiesonthecausaleffect ofeducationonhealthinAfrica,andtohaveexaminedothervariables besidesfertilityandoneofscarcelyanytohaveincludedmen.Beyond Africa,existingevidenceinEuropeismixedandsplitalmostevenlyon eitherside.StudiesontheUSmostlyshowfindingsconsistentwiththe findingsinthispaper.Thisstudyalsoincludesvariablessuchasantena- talvisitsandfertilityintention.Onthewhole,thequestionofcausality hasonlybeguntobeaddressedinempiricalstudiesinthelastdecade.
TableA1
Twosampletestofdifferencesinpre-assignmentvariables.
Ethnicity Religion
t 0.9971 -0.8360
𝑃 𝑟 ( |𝑇 |> |𝑡 |) 0.3188 0.4033
Notes:Thistableteststhehypothesisthatpretreatmentvariables donotdifferforrespondentsoneithersideofthecut-off.Itisgen- erallydifficulttogetsuitablevariablesinsurveydataforthistype ofhypothesistest.EthnicityandReligionarethebesttwovariables availableinthedatasetthatcanbeusedtotestthis.Ethnicityis fixedandreligionisusuallysticky;thatis,itdoesnotchangeoften andmostpeopletendtofollowthereligionoftheirfamilies.The assumptionhereisthatiftreatmentwasrandomlyassigned,then respondentsshouldnotdifferonpretreatmentvariables.Theresults presentedinthistablesuggestthistobethecase.Indeed,inGhana, severalsocioeconomicfactorsdiffersystematicallyacrossethnicities andreligionsandsowecanbeconfidentthatthisresultisindicative thatindeedthesampleselectionandtreatmentassignmentarenot biased.
TableA2
FeeWaiver,SchoolingandHealth.
Coefficient BW Left,Right Weight for Height SD 0.0532 ∗∗∗ 51,29
(0.0187)
Body Mass Index 1.1181 ∗∗ 62,44 (0.5653)
Healthy Eating 0.4560 ∗∗ 111,37 (0.2106)
Smokes -0.0388 ∗ 32,32
(0.0208)
Fertility Intention -0.1539 ∗ 10,452 (0.8898)
Antenatal Visits 1.1714 ∗∗ 50,33 (0.5026)
Notes:Thistableshowstheeffectofthepolicyonhealth outcomesandhealthbehaviour.Adifferentbandwidthis selectedforeachoutcomeusingthemethodrecommended by[12].Itincludescontrolsforethnicityandreligion.Ro- buststandarderrorsarereportedinparentheses∗∗∗𝑝<0.01,
∗∗𝑝<0.05,∗𝑝<0.1.
Fig.A1. Discontinuityatnon-discontinuitypoint1Notes:Figuretestsfordiscontinuityatpointsotherthanthecut-off pointforrobustness.Itakeallrespondents whosecohortswereassignedtoreceiveatleastoneyearoftreatment.Thedataissplitintotwohalvesoneithersideofthecutoff.Forthoseontheleft,thosefurther leftofthefakecut-off wereassignedtoreceiveoneyearlessoftreatmentbutarealsoolder.Forthoseontheright,everyonewasassignedtoreceivefulltreatment.
Asaconsequence,somejumpisexpectedonthelefthalfbutlesssignificantthanattherealcut-off whereasnosignificantjumpisexpectedontherighthalf.Thisis asshown.
Fig.A2. Discontinuityatnon-discontinuitypoint2Notes:Thisfiguretestsforrobustnessofdiscontinuityatcut-off pointsbyusingfakecut-offsfortheoptimal bandwidth.Ichooseonecut-off twoyearsleftwardsandanothertwoyearsrightwardsbothwithintheoptimalbandwidths.Thesecut-off pointsdonotshow significantjumps.
Fig.A3. DiscontinuityatrandomAugustNotes:Theliteratureshowsthatmonthofbirthpotentiallyaffectstheageofenrolment,performanceinschoolandthe totalnumberofyearsofschooling.Thisistestedbycheckingforamonthofbirtheffectinthedata.Ifthereisajumpinthemonthofthestartoftheschoolyear,then theeffectsreportedintheresultswouldcaptureboththemonthofbirtheffectandtheFCUBEeffect.Theresultsintheplotsaboveareconsistentwiththeliterature inthatthosebornafterthestartoftheschoolyearhavemoreschoolingforobservationsoneithersideofthecut-off butthereisnodiscontinuityatAugust.
Fig.A4. AdditionalgraphsusingtheLivingStandardsSurveyNotes:Irepeatthegraphsformanipulationandpolicyeffectontotalyearsofschoolingusingthe Ghanalivingstandardssurveyround7(GLSS7)tocheckforrobustnessacrossdatatypes.TheGLSS7isamorerecentdataanditincludesamoreevendistribution onmalesandfemales[10].usedanearlierroundofthissurveytoshowadiscontinuity.Thisisthusnotanexactreplicationoftheirresultsbutthepolicyeffects estimatesareclose.Imaintaintheirdefinitionofacohortinthepolicyeffectgraphbutusethestandarddefinitionadoptedinthisstudyforthemanipulationtests.
Theseconfirmtherobustnessofearlierconclusions.
Fig.A5. PolicyeffectusingdifferentfunctionalformsNotes:Icheckforro- bustnessoftheresultsforpolicyeffectstofunctionalform.Ishowthefirststage resultsforvariousfunctionalformsinthisfigure.Theresultspresentedhere showthatpolicyeffectsoverlapforallfunctionalforms.
Thecontributionsofthispaperarethusimportantbothforthedevelop- ingcountrycontextandthegeneralliterature.
Thefindings of thisstudyhave economicsignificance.Consistent withglobaltrends,lifeexpectancyandoverallwell-beingareincreas- inginGhanaasaresultofmedicaladvances.Theresultspresentedhere show thattheincreasesin educationaloutcomes arepartly responsi- bleforthesepositivehealthoutcomes.Bydesign,thefindingsofthis studyapplyspecificallytotherespondentsintheoptimalbandwidth.
Nonetheless,theresultscanbeextrapolatedtothewholepopulationes- peciallybecausetheunder-30sconstitutethelargershareoftheGhana- ianpopulation.Ghanaextendedthetuition feewaivertoseniorsec- ondaryschoolsin2017.Theeffectofthefeewaiversinducedbythe FCUBEisestimatedtobeatleast1.5years.Themeanyearsofschooling ofthesampleintheoptimalbandwidthwere8years.Thismeansthat theindividualsincludedinthisstudydidnotcompletejuniorsecondary school,onaverage.Thedurationofseniorsecondaryschoolis3years.
Thismeansthatthefeewaiverforseniorsecondaryschoolcanadduce morethantwicethehealthbenefitsestimatedinthisstudy.Thisisnot asmalleffect.Withtheexceptionoftheriskofobesity(andarguably fertility),theseeffectscangenerallyberegardedaspositive.
Outsideof Ghana’scontext, theresults provide usefullessonsfor countrieswhosetuitionfeewaiverpolicieshavenotbeenextensively evaluated.Italsoprovideslessonsforthosecountriesthathaveplans
Fig.A6. PolicyeffectusingdifferentbandwidthsNotes:Icheckforrobustness oftheresultsforpolicyeffectstodifferentbandwidths.Iusethestandardhalf bandwidthanddoublebandwidthsuggestedintheliterature.Additionally,I checkfordifferentbandwidths.Smallerbandwidthsyieldlargereffectsthan largerbandwidthsandallarewithinidenticalrangesoftheoptimalbandwidth.
Asisexpected,widerbandwidthshavesmallereffectsbecausefullytreatedre- spondentsfurthestleftwereyoungandstillinschoolwhereaspartiallytreated anduntreatedrespondentswereolderyethadcompletedfeweryearsofschool- ing.Also,asthebandwidthgetslargerandapproachesthebandwidthusedby [10],theeffectbecomesidenticaltotheirs.
toadoptasimilarpolicy.Itmayalsobeinformativeinthatitprovides a counterfactualforcountriesthat havenotimplemented tuition fee waiverpolicies.Althoughsuchacomparisonmustconsideranydiffer- encesinnationalcircumstances.
Consideringthatthehealthvariablesexaminedherearemostlybe- haviour, increasing educationalattainmentcould meanlowerpublic healthexpenditureinthelongrun.Theresultsalsosuggestthathealth knowledge andemploymentareplausiblechannels forat leastsome healthoutcomes.Intermsofthepracticalimpactofthefindingsofthis study.Itisnoteworthythatobesityisonitswaytobeingendemicglob- ally,malnutritionandsmokingarealreadyglobalcrises.Thefindingsof thispapercontributetoeffortstounderstandthesocialandeconomic factorsthatcauseormitigatethesehealthchallenges.Thusacontribu- tiontothesolution
DeclarationofCompetingInterest
Theauthorsdeclarethattheyhavenoknowncompetingfinancial interestsorpersonalrelationshipsthatcouldhaveappearedtoinfluence theworkreportedinthispaper.
Fig.A7. Discontinuitiesinhealthoutcomesatcut-off pointNotes:ThegraphspresentedhereshowtheexistenceofdiscontinuitiesattheFCUBEintent-to-treat cut-off point.Thesecanbetakenasagraphicalillustrationofthetreatmenteffectforeachoftheoutcomesoftheresultspresentedinthetables.Keepinmind howeverthatthegraphsdonotincludecontrolsbutthetablesdo.Thepresenceofsignificantjumpsinthegraphsconfirmsthepointestimatesinthetables.