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JournalofAbnormalPsychology Copyright2007bytheAmericanPsychologicalAssociation 2007,Vol.116,No.2,219–235 0021-843X/07/$12.00 DOI:10.1037/0021-843X.116.2.219 Genetic and Environmental Bases of Childhood Antisocial Behavior: A Multi-Informant Twin Study Laura A. Baker Kristen C. Jacobson UniversityofSouthernCalifornia UniversityofChicago Adrian Raine, Dora Isabel Lozano, Serena Bezdjian UniversityofSouthernCalifornia Genetic and environmental influences on childhood antisocial and aggressive behavior (ASB) during childhoodwereexaminedin9-to10-year-oldtwins,usingamulti-informantapproach.Thesample(605 families of twins or triplets) was socioeconomically and ethnically diverse, representative of the culturallydiverseurbanpopulationinSouthernCalifornia.MeasuresofASBincludedsymptomcounts forconductdisorder,ratingsofaggression,delinquency,andpsychopathictraitsobtainedthroughchild self-reports,teacher,andcaregiverratings.MultivariateanalysisrevealedacommonASBfactoracross informants that was strongly heritable (heritability was .96), highlighting the importance of a broad, general measure obtained from multiple sources as a plausible construct for future investigations of specific genetic mechanisms in ASB. The best fitting multivariate model required informant-specific genetic,environmental,andratereffectsforvariationinobservedASBmeasures.Theresultssuggestthat parent, children, and teachers have only a partly “shared view” and that the additional factors that influencethe“rater-specific”viewofthechild’santisocialbehaviorvaryfordifferentinformants.This isthefirststudytodemonstratestrongheritableeffectsonASBinethnicallyandeconomicallydiverse samples. Keywords:antisocialbehavior,aggression,genes,environment Why do some children grow up to be prosocial, law-abiding early adoption studies in both Scandinavia and the United States individuals,whereasothersengageinpatternsofdisruptive,defi- haveprovidedtheintriguingfindingthatnotonlydoestheriskfor ant,anddelinquentbehavior,evenfallingintothecriminaljustice adult criminal offending run in families but familial similarity is systemwellbeforereachingadulthood?Aplethoraofstudieshave due primarily to shared genetic risk (Bohman, 1978; Cadoret, investigatedtheetiologyofsuchindividualdifferences,withabun- 1978;Hutchings&Mednick,1971;Loehlin,Willerman,&Horn, dantevidencedemonstratingtheimportanceofbothsocialcircum- 1985; Sigvardsson, Cloninger, Bohman, & Von Knorring, 1982). stancesandbiologicalriskfactorsinantisocialbehavioracrossthe Geneticpredispositionshavealsobeenshowntoplayasignificant life span (Baker, 1999; Raine, 1993, 2002; Raine, Brennan, Far- roleinthenormalvariationinadultaggressivebehavior,perhaps rington, & Mednick, 1997; Stoff, Breiling, & Maser, 1997). especially in more impulsive forms (Coccaro, Bergeman, Among these risk factors, genetic and environmental influences Kavoussi, & Seroczynski, 1997). In contrast, studies that have havebeenofconsiderableinterestandarelikelytoplayakeyrole included adolescents and younger children vary widely in their inourunderstandingofaggressionandotherantisocialbehaviors estimates of the relative importance of genes and environment, and,thus,ourabilitytoavertthem. withheritabilityestimates(h2)indicatingthatgeneticeffectscould Infact,geneticandenvironmentalinfluencesinaggressiveand explainaslittleasnilorupwardofthreefourthsofthevariancein antisocialbehavior(ASB)havebeenstudiedextensively.Several ASB(seeRhee&Waldman,2002,forthemostrecentreview). Usingmeta-analysisofkeybehavioralgeneticstudiesinASB, Rhee and Waldman (2002) found that, combining results across studies,thereweresignificanteffectsofadditivegeneticinfluence LauraA.Baker,AdrianRaine,DoraIsabelLozano,andSerenaBezd- jian,DepartmentofPsychology,UniversityofSouthernCalifornia;Kristen (a2 (cid:1) .32), of nonadditive genetic influences (d2 (cid:1) .09), and of C.Jacobson,DepartmentofPsychiatry,UniversityofChicago. shared(e2 (cid:1).16)andnonsharedenvironment(e2 (cid:1).43).These s ns This study was supported by National Institute of Mental Health genetic and environmental effects were found to differ, however, (NIMH) Grant NIMH R01 MH58354 to Laura A. Baker and NIMH accordingtothedefinitionandmethodofassessingASB,aswell IndependentScientistAwardK02MH01114-08toKristenJacobson.We asbytheageatwhichASBwasstudied.Thenonadditivegenetic wishtothanktheUniversityofSouthernCaliforniatwinprojectstaff,for effects appear most strongly for studies of criminal convictions assistanceindatacollectionandscoring,andthetwinsandtheirfamilies, comparedwithallotherdefinitionsofASB.Sharedenvironmental fortheirparticipationinthisresearch. effects were stronger for parental reports of ASB compared with CorrespondenceconcerningthisarticleshouldbeaddressedtoLauraA. Baker,DepartmentofPsychology,UniversityofSouthernCalifornia,Los self-reports and with official records, and these shared environ- Angeles,CA90089-1061.E-mail:[email protected] mentaleffectsappeartodiminishfromchildhoodtoadulthood. 219 220 BAKER,JACOBSON,RAINE,LOZANO,ANDBEZDJIAN It is also noteworthy, however, that age and method of assess- ferent types of antisocial behavior may be a useful method in ment are confounded across studies—investigations of younger moleculargeneticresearch. childrentendtorelyonparentorteacherreports,whereasstudies ofolderadolescentsandadultsaremoreapttouseofficialrecords Informant Variation or self-report measures of ASB. Thus, the larger effect of shared environment during childhood may be due to greater reliance on Another important aspect to consider when comparing results parentalorteacherratings.Giventhesemethodologicalconfounds across studies is the source of the information about ASB. It is acrossstudies,itisimpossibletoknowthestrengthofgeneticand well-knownthatdifferentinformantsproducedifferentreportsofa environmental influences on individual differences in childhood child’sbehavior.Correlationsbetweenratersofthesamechildare ASB in particular. Additional studies are required to resolve the typicallyabout.60betweenmotherandfatherratings,.28between effectsofgenesandenvironmentinASBinchildren. parent and teacher ratings, and .22 between the parent and child ratings (Achenbach, McConaughy, & Howell, 1987). Largely, each rater provides a unique perspective on the child’s behavior. Defining Antisocial Behavior Children would seem to be the most knowledgeable source to reportontheirownbehavior(particularlycovertactions)aswellas Definitions of ASB vary widely across studies and include their motivations, although their cognitive development, truthful- violations of rules and social norms (e.g., lawbreaking), various ness,andsocialdesirabilityfactorsmaylimittheaccuracyoftheir formsofaggression(e.g.,self-defenseorotherreactiveformsand reports.Parentsmaybemoreabletoobjectivelyreportonachild’s proactive behaviors such as bullying), and serious patterns of externalizing behaviors, although they may be unaware of covert disruptive and aggressive behavior such as those observed in actionsorunwillingtoreportthemtoresearchers.Althoughteach- clinical disorders like conduct disorder and oppositional defiant ers’ reports may also have the advantage of greater objectivity, disorderinchildrenorantisocialpersonalitydisorderinadults.The teachers may have limited knowledge of the child’s antisocial variability found in the definitions of these key concepts is also behavior,particularlyasitmayoccuroutsideofclassroomorother found in the methods of measuring ASB; some studies are based school settings. Although researchers sometimes combine ratings on official records such as police arrests, court convictions, or acrossreportersinanattempttoincreasescalereliability,different schoolrecords,whereasothersrelyonbehavioralratingsprovided etiologies may exist for scales derived from different informants by parents or teachers or on self-reports about the participant’s (Bartels et al., 2003, 2004; Saudino & Cherny, 2001). Thus, the ownASB.Eachassessmentmethodhasitsadvantagesanddisad- bestwaytomodelinformationfrommultipleinformantsistouse vantages with no one definition or method of assessment being a multivariate, factor-based approach that allows for both differ- clearlysuperior. encesandcorrelationsacrossinformantssimultaneously(Kraemer Nevertheless, in spite of the wide variations in definitions of etal.,2003). ASB, as well as the possibility that the relative importance of There are at least three advantages to using a factor-based geneticandenvironmentalfactorsmayvaryfordifferentmeasures approach when dealing with multiple informants in twin studies. (e.g., Eley, Lichtenstein, & Moffitt, 2003; Mednick, Gabrielli, & First, such a model allows for the possibility that there may be Hutchings, 1984; also see Rhee & Waldman, 2002, for review), differentgeneticandenvironmentaletiologiesdependinguponthe there is also considerable evidence for a general externalizing perspectiveoftherater.Second,itallowsonetoexplicitlymodel dimensionofproblembehaviorunderlyingthesevariousbehaviors andtestforthesignificanceofcertaintypesofraterbias.Finally, and tendencies. Similar to the problem/behavior syndrome de- because the underlying common factor will represent (by defini- scribed earlier by Jessor and Jessor (1977), a broad latent factor tion)a“sharedview”ofantisocialbehavioracrossinformants,the hasbeenpurportedtobeacommonlinkamongantisocialbehav- heritability of the common factor may be higher than the herita- ior, substance dependence, and disinhibited personality traits bilitiesobtainedthroughanyoneinformant.Ifthisisthecase,then (Kruegeretal.,2002).Theexternalizingdimensionhasbeenfound combininginformationfromdifferenttypesofreportersmayyield to be more continuous than categorical, with shades of gray de- stronger genetic signals in molecular genetic studies. Previous scribing a range of deviant behaviors across individuals (Markon studies of ASB in preadolescent children have relied heavily on & Krueger, 2005; Young, Stallings, Corley, Krauter, & Hewitt, either parent or teacher reports, although a few studies have 2000). Moreover, this common externalizing factor has been obtained data from multiple reporters, most commonly from the showntohaveastrongheritabilityamongadolescents(h2(cid:1).80), mother and the father (e.g., Bartels et al., 2003, 2004; Neale & accountingformuchofthecovariationamongvariousaspectsof Stevenson,1989;Hewitt,Silbert,Neale,Eaves,&Erickson,1992) antisocial behavior and disinhibition (Krueger et al., 2002). orfromparent(s)andteachers(e.g.,Hudziaketal.,2003;Martin, Among adults, there is also evidence for separate genetic factors Scourfield, & McGuffin, 2002; Vierikko, Pulkkinen, Kaprio, & forinternalizingversusexternalizingdimensionsofpsychopathol- Rose, 2004) and occasionally from parents and children (e.g., ogy (Kendler, Prescott, Myers, & Neale, 2003). This general Simonoffetal.,1995).Weareunaware,however,ofanypublished externalizing factor found across many studies may reflect an studiesofexternalizingdisorderthathaveusedreportsfromcare- overalltendencytoactinanunconstrainedmanner,agenetically givers,teachers,andchildrensimultaneously. basedcharacteristicthatmanifestsitselfinvariouswaysdepending ontheenvironment(Krueger,2002).Thehigherheritabilityfound Sex Differences for this externalizing factor compared with heritabilities obtained from studies that have focused on only one type of antisocial Afinalquestiontoconsideriswhethertherearesexdifferences behavior suggests that using a composite measure based on dif- intherelativeimportanceofgeneticandenvironmentalfactorsfor CHILDHOODASB 221 antisocial behavior. In spite of the fact that males are far more single viewpoint. Fourth, our sample consisted of both male and likely than females to engage in antisocial, aggressive, and crim- femaletwins,includingopposite-sexpairs,allowingustoexamine inalbehavior,therearenoapparentdifferencesbetweenthesexes potentialsexdifferencesintheetiologyofasharedviewofASB. in the relative importance of genetic factors (i.e., heritability) in Finally, it should be noted that although the present results are explaining individual differences in antisocial behavior among cross-sectional, they are part of a larger, ongoing longitudinal adults. Heritability of liability toward nonviolent criminality ap- study. Therefore, in future analyses, we will be able to compare pears equivalent for men and women, in studies of both twins and contrast our results as participants move from the brink of (Cloninger&Gottesman,1987)andadoptees(Baker,Mack,Mof- adolescenceintoadolescenceandyoungadulthood. fitt, & Mednick, 1989), although the average genetic predisposi- tionsdoappeargreaterforcriminalwomencomparedwithcrim- Method inal men (Baker et al., 1989; Sigvardsson et al., 1982). A few studies of childhood and adolescent ASB have examined sex Overview of the USC Twin Study of Risk Factors for differences in genetic and environmental etiology, although the Antisocial Behavior resultsarenotconsistent.Somestudieshavefoundgeneticeffects to be of greater importance in boys and common environment TheUSCTwinStudyofRiskFactorsforAntisocialBehavioris moreimportantingirlsusingparentalratings(Silbergetal.,1994), a longitudinal study of the interplay of genetic, environmental, whereasothershavefoundtheoppositeresultusingretrospective social, and biological factors on the development of antisocial reportsforadolescents(Jacobson,Prescott,&Kendler,2002),and behavior across adolescence. The first wave of assessment oc- still others have not found sex-specific etiologies (Eley, Lichten- curredduring2001to2004,whenthetwinswere9to10yearsold, stein, & Stevenson, 1999). Aggregating across studies in their with a 2-year follow-up assessment in the laboratory when twins meta-analysis, Rhee and Waldman (2002) found that the relative wereages11to12.Twoadditionalfollow-upassessmentswillbe importanceofgeneticandenvironmentalfactorsinASBdoesnot conductedwhenthetwinsareages14to15(thirdwave)and16to differformalesandfemales,althoughitshouldbenotedthattheir 17yearsold(fourthwave).Thepresentanalysesarebasedondata analysesdidnotinvestigatetheextenttowhichsexdifferencesin fromthefirstwave.Comprehensiveassessmentofeachchildwas etiologymightvaryacrossdevelopmentormethodofassessment made, including cognitive, behavioral, psychosocial, and psycho- (i.e.,rater).Overall,thequestionaboutdifferentetiologiesofASB physiologicalmeasuresbasedonindividualtestingandinterviews formalesandfemalesremainsopen. ofthechildandprimarycaregiverduringthelaboratoryvisit,with additional teacher surveys completed and returned by mail. A detailed description of the study, including a summary of the The University of Southern California (USC) Twin Study measures, can be found in Baker, Barton, Lozano, Raine, and of Risk Factors for ASB Fowler(2006). Thisisoneofthefirstprospectivetwinstudiesofpreadolescent children to focus on aggressive and antisocial behavior using a Participant Recruitment multitrait, multi-informant approach. In this article we present results for the comprehensive phenotypic assessments of aggres- ThetwinsandtheirfamilieswhoarepartoftheUSCStudyof siveandantisocialbehaviorconductedduringthefirstwaveofthe Risk Factors for Antisocial Behavior were recruited from the study,whiletheparticipantsareatthebrinkofadolescence(ages larger Southern California Twin Register, which contains over 9and10yearsold),andusemultivariategeneticfactormodelsto 1,400totalpairsofschool-agetwinsbornbetween1990and1995. examinetheextenttowhichgeneticandenvironmentalinfluences ParticipantsintheTwinRegisterarevolunteers,andfamilieswere accountforagreementanddisagreementacrossraters.Thisstudy ascertained primarily through local schools, both public and pri- expands on previous research in the following important ways. vate, in Los Angeles and the surrounding communities—see First, it examined the relative influence of genetic and environ- Baker, Barton, and Raine (2002) for a detailed description of the mental factors on antisocial behavior using an ethnically and recruitmentprocessandTwinRegisterfromwhichthetwinswere socioeconomicallydiversesample.Theethnicandsocioeconomic sampled.Familiesidentifiedashavingtwinsinthetargetagerange variabilityofthesamplemayallowforgreatergeneralizabilityof weresentlettersbrieflydescribingthestudyandinvitingthemto resultstothediversepopulationsinurbanareas,whereantisocial, participate. aggressive, and violent behaviors present serious threats to the Study participation required that the twins be (a) proficient in communityatlarge.Second,itusedmultipleindicesofantisocial Englishand(b)9or10yearsoldatfirstassessment(seeBakeret behavior. Rather than relying on univariate comparisons of heri- al., 2006). In addition, either English or Spanish proficiency was tability estimates for various types and severities of antisocial required for the twins’ primary caregiver. Of the 1,400 families behavior, the use of a composite measure based on all of the who joined the USC Twin Register and were in the target age differentindicesmayyieldastrongergeneticsignalthananyone range, approximately 860 families were contacted by phone to index of antisocial behavior alone. Third, the study relied on explainthestudyingreaterdetailandtoscheduleatestingsession. reports of antisocial behavior from multiple informants. This al- The sample of 605 tested families thus constituted a 70% partic- lowedusto(a)examinewhethertherearesignificantdifferences ipation rate of those families whom we were able to contact. acrossraters;(b)testformallytheextenttowhichraterbiasmay Approximately 30 families (3% of the total eligible sample) did influenceresults;and(c)combineinformationfromdifferentrat- notqualifybecauseoflimitedEnglishproficiencyinthechildren. ersinamultivariatemodel,allowingforthepresenceofa“shared” Theremainingfamilieswereeitherneverscheduled,cancelled,or view of antisocial behavior that may be more reliable than any didnotshowupfortheirtestingsession. 222 BAKER,JACOBSON,RAINE,LOZANO,ANDBEZDJIAN Procedure and p (cid:1) .14, respectively), indicating that our results for teacher reportsareunlikelytobebiasedbydifferentialresponsepatterns. Laboratoryvisitprotocol. Testingandinterviewsofthechild and caregiver were made during a 6- to 8-hr visit to the USC Sample Characteristics laboratories.ThedetailsoftheprotocolcanbefoundinBakeret al. (2006). Briefly, the visit included behavioral interviews, neu- Participants in the present study consisted of 605 families of rocognitivetesting,socialriskfactorassessment,andpsychophys- twins (n (cid:1) 596 pairs) or triplets (n (cid:1) 9 sets) and their primary iologicalrecordingofthetwins.Caregiverswerealsointerviewed caregiverswhoparticipatedinthefirstwaveofassessmentinthe about their twins’ behavior, as well as their own behavior and USC Study of Risk Factors for ASB. To avoid problems of relationshiptoeachtwin.Cheekswabsampleswerealsocollected additionalfamilialinterdependencyassociatedwiththesmallnum- fromtheparticipatingfamiliesinordertoextractDNAandtestfor beroftripletpairs,asinglepairconsistingof2ofthe3tripletswas zygosity. randomly selected for these analyses. The sample was composed Participating families were compensated for their visit to USC ofbothmaleandfemaleMZandDZpairs,includingbothsame- and provided with additional incentives for keeping scheduled and opposite-sex DZ twins. Among the 1,219 child participants, appointmentsinatimelyfashion(totalpaymentswereupto$125). there was approximately equal gender distribution with 48.7% Familieswerealsoprovidedwithgroupsummariesofstudyresults boys(n(cid:1)594)and51.3%girls(n(cid:1)625);the605caregiverswere and individual reports of their twins’ zygosity and each child’s primarilyfemale(94.2%). cognitivetestingresults. Caregiverparticipantswereprimarilybiologicalmothersofthe Given the sensitive nature of the information provided by the twinsandtriplets(91.4%;n(cid:1)553),althoughotherrelativeswere twinsandtheircaregivers(includingillegalbehaviors),aCertifi- also interviewed, including biological fathers (n (cid:1) 35; 5.8%), cate of Confidentiality was obtained for this study from the Na- stepparents (n (cid:1) 2; 0.3%), adoptive parents (n (cid:1) 4; 0.7%), tionalInstituteofMentalHealthtohelpprotecttheprivacyofthe grandparents (n (cid:1) 7; 1.2%), or other relatives (n (cid:1) 4; 0.6%). At participants. All participants were assured that the information thetimeoffirst-waveassessment,nearlytwothirdsofthechildren theyprovidedwouldbecodednumericallyandnotlinkedtotheir werelivingwithbothbiologicalparents,whowereeithermarried names and that their individual information would not be shared orlivingtogetherbutunmarried(55.5%and7.2%oftotalsample withanyoneoutsidetheresearchteam.Thelaboratoryprocedures offamilies,respectively).Amongtheremainingfamiliesinwhich andallaspectsofthestudywerereviewedbytheUSCInstitutional the biological parents were not living together (because of sepa- ration,divorce,deathoftheparent,orneverhavingbeenmarried), ReviewBoardandwerecompliantwithfederalregulationsatthe themajorityofthesewerenotmarriedorlivingwithapartnerat time. thetimeoffirst-wavetesting—only6.2%ofthetotalsamplewas Assessments were conducted by rigorously trained examiners remarried to another partner. Thus, the majority of the children (see Baker et al., 2006, for details). All child interviews were livedintwo-parenthouseholds,although114twinortripletpairs conducted in English; caregiver interviews were conducted in either English (n (cid:1) 492; 81.3%) or Spanish (n (cid:1) 113; 18.7%), (18.8%)didliveinasingle-parenthouseholdwithnootheradult inthehome.Theremainderofthechildren(12.2%)residedwitha dependingonthelanguagepreferenceoftheparticipant.Lessthan single parent as well as one or more other adults (mostly grand- halfoftheHispaniccaregivers(44.0%)preferredtobeinterviewed parents). inSpanish.AllcaregiversurveysweretranslatedintoSpanishand The child’s ethnicity was determined by the ethnicity of their back-translatedintoEnglishbyprofessionaltranslators. two biological parents as reported by the primary caregiver. As Teachersurveys. Thetwins’teacherswereaskedtocomplete such, the twin–triplet sample was 26.6% Caucasian (n (cid:1) 161 surveys about each child’s school behaviors and to return their pairs), 14.3% Black (n (cid:1) 86 pairs), 37.5% Hispanic (n (cid:1) 227 surveypacketstoUSCinprepaid,addressedenvelopes.Teachers pairs),4.5%Asian(n(cid:1)27pairs),16.7%Mixed(n(cid:1)101pairs), werenotpaidfortheirparticipation.Excludingpairs(n(cid:1)15)who and0.3%otherethnicities(n(cid:1)2pairs).AmongtheMixedgroup, were either homeschooled or for whom parents felt the teachers mostchildren(57.4%;n(cid:1)58pairs)hadoneHispanicparent,and did not know their children well enough to rate their child, there thusnearlyhalfofthesample(47.1%;n(cid:1)281twinortripletsets) wasa60%individualreturnrateforteachersurveys.Althoughwe wasofatleastpartialHispanicdescent.Thisethnicdistributionis did not receive teacher surveys for all twins, we did have infor- comparable to that in the general Los Angeles population (http:// mation on whether twins were in the same class at school for all www.census.gov/main/www/cen2000.html) and therefore pro- but18twinpairs.Amongtheentiresample,31.4%oftwinswere videsadiversecommunitysamplerepresentativeofalargeurban inthesameclassroom.Amongthe269pairsforwhombothtwins area. had teacher reports (see the Missing data section for details), Medianfamilyincomewasinthe$40,000to$54,000range(the 41.4% were in the same classroom at school and were therefore midpointofwhichis$45,500),whichiscomparabletothemedian ratedbythesameteacher.Thissuggeststhatteachersweresome- income in Southern California (including Los Angeles, Orange, whatmorewillingtoreturnsurveysifbothtwinswereinthesame Riverside, Ventura, and San Bernardino counties) between 2000 classatschool.Female–femaletwinpairswereslightlymorelikely and 2002 (average Mdn (cid:1) $43,042; http://www.census.gov/cgi- to be placed in the same classroom than male–male twin pairs bin/saipe/saipe.cgi) and the state of California between 2001 and (34.8% vs. 31.5%), and monozygotic (MZ) twins were slightly 2003 (average Mdn (cid:1) $48,979; http://www.census.gov/hhes/ more likely than dizygotic (DZ) twins to be placed in the same income/income03/statemhi.html).Educationlevels,measuredona class (36.0% vs. 29.0%). However, chi-square analysis revealed 6-point scale, ranged from 1 (less than high school) to 6 (post- that neither of these effects was statistically significant (p (cid:1) .46 graduate degree). Maternal and paternal education levels were CHILDHOODASB 223 significantlycorrelated(r(cid:1).61,p(cid:2).01),andsignificantlyhigher total of three unique informants (caregivers, teachers, and chil- mean levels of education were reported for mothers (M (cid:1) 3.70, dren). Instruments varied in terms of their mode of assessment, SD(cid:1)1.58)thanforfathers(M(cid:1)3.53,SD(cid:1)1.63),t(552)(cid:1)3.43, with some being administered through semistructured interviews p(cid:2).001.Acompositemeasureofbothparents’educationlevels, (i.e.,theDiagnosticInterviewScheduleforChildren—VersionIV occupationalstatus,andfamilyincome(Hollingshead,1975)was [DISC–IV])andothersthroughquestionnairesadministeredeither usedasanindexofsocioeconomicstatus(SES)inthisstudy.The in an interview format (i.e., the Childhood Aggression Question- distribution of the SES factor was slightly skewed toward higher naire[CAQ]andtheChildPsychopathyScale[CPS])orinpaper- levels,althoughtherewasconsiderablerangeinSESinthisstudy. and-pencil format (i.e., the Child Behavior Checklist [CBCL]). Zygosity of the same-sex twin pairs was determined for the Each instrument was given to at least two of the three possible majority of pairs (398/458 (cid:1) 87%) through DNA microsatellite informants. The following sections provide detailed information analysis(sevenormoreconcordantandzerodiscordantmarkers(cid:1) abouteachofthefiveinstruments,includinginformationaboutthe MZ; one or more discordant markers (cid:1) DZ). A Twin Similarity instrumentitself,modeofassessment,informanttype,anduseof Questionnaire (Lykken, 1978) was used to infer zygosity for the anyrelevantsubscales. remaining 60 pairs for whom adequate DNA samples or results DISC–IV (Schaffer, Fisher, Lucas, Dulcan, & Schwab-Stone, were not available. When both questionnaire and DNA results 2000). TheDISC–IVisahighlystructuredinterviewdesignedto wereavailable,therewas90%agreementbetweenthetwo. assess psychiatric disorders, adapted from the Diagnostic and The frequencies of the five gender and zygosity groups are StatisticalManualofMentalDisorders(4thed.;DSM–IV;Amer- presentedinTable1,alongwithmeanageandethnicdistribution. icanPsychiatricAssociation,1994),andsymptomsinchildrenand The mean ages during first-wave assessment were 9.60 years adolescents ages 6 to 17 years. The DISC was designed to be (SD(cid:1)0.60)forthetotalsampleofchildrenand40.14years(SD(cid:1) administeredbywell-trainedlayinterviewersforepidemiological 6.61)fortheircaregivers.Althoughzygositygroupsdidnotdiffer research.Ithasayouthaswellasaparallelparentversion,bothof in mean age of children at first-wave assessment, F(4, 604) (cid:1) which inquire about the child’s psychiatric symptoms. The Con- 0.70,p(cid:1).59,thereweresignificantdifferencesincurrentageof duct Disorder module was administered using both youth and biological mother across groups, F(4, 594) (cid:1) 3.64, p (cid:2) .01— parent versions in the present study. Although not a focus of the mothersofDZpairsweresignificantlyoldercomparedwithmoth- current report, additional modules assessing oppositional defiant ersofMZpairs.Therewasalsosignificantethnicgroupvariation disorder, attention-deficit/hyperactivity disorder, major depres- acrossthesefivezygositygroups,(cid:3)2(16,N(cid:1)605)(cid:1)33.82,p(cid:2) sion,andgeneralizedanxietyineachchildwerealsoadministered .01—BlacksandCaucasiansappearedtobemorefrequentlyrep- in the parent version. Both symptom counts and diagnoses were resentedintheDZgroups,whereasahigherpercentageofAsians provided through computerized scoring of the DISC–IV Conduct andHispanicswereseenintheMZgroups,particularlyamongthe Disordermodule. maleparticipants.Thesedifferencesmaystemfromdifferenttwin- Conductdisorderdiagnoses(forthepastyear)weremadefor16 ning rates across ethnic groups, due in part to differences in boys (2.7%) and 8 girls (1.3%) based on caregiver reports in the maternal age and use of assisted reproduction methods when DISC–IVandfor9boys(1.6%)and2girls(0.3%)basedonchild conceiving the twins. Although the overall zygosity distribution self-report. Although symptom counts for conduct disorder were amongsame-sexpairs(60.2%MZ)wassignificantlygreaterthan significantlycorrelatedbetweencaregiverandyouthreports(r(cid:1) theexpected50%(p(cid:2).01),itwasnotasmarkedlyhighasinmost .31, p (cid:2) .001), it is noteworthy that there was no overlap in othervolunteersamples,inwhichtwothirdsofsame-sexpairsare conductdisorderdiagnoses—thatis,nosinglechildreachedcon- typicallyMZ(Lykken,McGue,&Tellegen,1987).Thissampleof duct disorder criteria for both child and caregiver reports. Most childrenandcaregiversappearstobequiterepresentativeofboth likely,thispatternofresultsisduetotherelativelyyoungageof themultiplebirthandgeneralpopulationinsouthernCalifornia. this sample and the fact that this is a population-based (nonclini- cal) sample. Although diagnosed cases according to one of the Measures raters had elevated symptoms reported by the other rater, these The present study used a total of 18 different measures of individualsfellshortofreceivingacorrespondingdiagnosisfrom antisocial behavior taken from five different instruments from a theotherrater.Inaddition,thefocusonconductdisorderbehaviors Table1 SampleCharacteristics Pairs Childage Momage Child’sethnicity Zygosity-sex n % M SD M SD %Caucasian %Hispanic %Black %Asian %Mixed-other MZmale 138 22.9 9.57 0.55 37.56 5.63 19.6 46.4 9.4 8.7 15.9 MZfemale 139 23.0 9.66 0.61 38.54 6.92 21.6 38.1 12.2 4.3 23.7 DZmale 84 13.9 9.64 0.60 39.88 5.74 28.6 31.0 15.5 2.4 22.6 DZfemale 97 16.0 9.55 0.55 39.43 5.29 35.1 32.0 17.5 2.1 13.4 DZmale-female 147 24.3 9.58 0.59 39.90 5.90 31.3 36.1 17.7 3.4 11.6 Total 605 9.60 0.58 38.98 6.03 26.6 37.5 14.2 4.5 17.2 Note. Age of biological mother is shown, to allow comparison across zygosity groups for maternal age at birth of twins. Mean age of all caregiver participantswas40.14years(SD(cid:1)6.61).MZ(cid:1)monozygotic;DZ(cid:1)dizygotic. 224 BAKER,JACOBSON,RAINE,LOZANO,ANDBEZDJIAN duringthepastyear(ratherthanlifetimeprevalenceusedinmost weredeterminedtobeatorbelowasecond-gradelevelasdeter- retrospective studies of twins) may have reduced both the preva- mined by the Woodcock–Johnson Reading Achievement Test lence of conduct disorder and the agreement among raters. Nev- (Woodcock & Johnson, 1989). Teachers were also given the ertheless,giventhelowprevalenceofdiagnosableconductdisor- parallel form of the CBCL (the Teacher Report Form) as part of der at this age, number of conduct disorder symptoms was used themailsurveypacket. rather than conduct disorder diagnosis. According to caregiver reports,54.5%ofboysand39.2%ofgirlshadatleastoneconduct Short-Term Reliability disorder symptom. The corresponding figures for child reports were47.8%ofboysand30.3%ofgirls. Thirty randomly selected families with complete data (both TheCAQ. Thisinstrumentwasdevelopedtoassessoverall,as cotwins and their caregiver) completed the entire first-wave as- wellasvariousformsof,aggression.Threeparallelformsofthis sessment a second time, approximately 6 months following their questionnaire were used: (a) child self-report, (b) caregiver’s re- original laboratory visit. These retest families included exactly portofchild’sbehavior,and(c)teacher’sreportofchild’sbehav- 50%ofeachgender(n(cid:1)30boys;n(cid:1)30girls)andwereusedto ior.ThemajorityoftheitemsweretakenfromRaineandDodge’s evaluate test–retest reliability for all measures used in this study. Reactive and Proactive Aggression Questionnaire (Raine et al., This sample was the basis for testing reliability of the measures 2006),including11reactiveitems(e.g.,“IdamagethingswhenI across time. Test–retest correlations are presented in Table 2, am mad”; “I get mad or hit others when they tease me”) and 12 separatelyforboysandgirls,aswellasforthecombinedsample. proactiveitems(e.g.,“Ithreatenandbullyotherkids”;“Idamage There was remarkable stability for these measures, although the orbreakthingsforfun”).Inaddition,5itemswereaddedtoyield correlationsvariedsomewhatacrossraterandsexofchild.Great- relationalaggressioninthechildandteacherversions(e.g.,“Itell est stability was observed for caregiver reports, especially for stories about people behind their back when I am mad at them”; ratingsofboys.ThelowestcorrelationsinTable2areforcaregiver “When I am mad at someone I tell my friends not to play with ratings of conduct disorder symptoms (.57) and CBCL Delin- them”).EachoftheitemsintheCAQwasratedona3-pointscale (0 (cid:1) never, 1 (cid:1) sometimes, 2 (cid:1) often), and responses were quency (r (cid:1) .47) in girls and for girls’ self-reported conduct disorder symptoms (r (cid:1) .56). Inspecting graphical summaries of summedwithineachofthesubtypes,foreachofthe3informants, these correlations, however, revealed 1 outlier—a girl who re- separately. All three scales showed good internal consistency ceived low ratings on these measures in the first testing and (Cronbach’s alpha ranged from .73 to .76 for child self-report, considerablyhigherratingsinthesecond.Writtencommentsfrom from.76to.83formotherratings,andfrom.90to.92forteacher the examiners for this family indicated that this girl had indeed ratings). experienced significant behavioral changes in the 6 months in The CPS (Lynam, 1997). The CPS is composed of 14 sub- betweenthetwotestingsessions(confirmedbyboththecaregiver scales(basedon55yesornoitems),whichconsistofassessments andchildexaminers).Removingthiscasefromthissmallsample of Glibness, Untruthfulness, Lack of Guilt, Callousness, Impul- ofretestfamiliesresultedinhigherretestcorrelations(r(cid:5).60for siveness, Boredom Susceptibility, Manipulation, Poverty of Af- all three instances). Thus, although there does appear to be con- fect,ParasiticLifestyle,BehavioralDyscontrol,LackofPlanning, siderablereliabilityinthesemeasures,wemustbecognizantofthe Unreliability, Failure to Accept Responsibility, and Grandiosity. factthatthepotentialfordevelopmentalchangeispossibleatthis Minorchangesweremadetothewordingofsomeitemsforease age. Therefore, we suspect that these estimates of “short-term” ofunderstandingby9-to10-year-oldchildren.Parallelversionsof reliabilityareactuallyconservativeestimates(i.e.,underestimates) theCPSwereadministeredtoboththechildandthecaregiverin ofthetruereliabilities. interviewform.Thetwoclassicfactorsofpsychopathy(Factor1: Callous–Unemotional; Factor 2: Impulsive–Irresponsible) were derived in each of the caregiver and child self-reports, based on compositesofthe14subscalesintheCPSwithineachrater.Both Table2 Factor 1 and Factor 2 showed reasonable internal consistency in Six-MonthTest-RetestCorrelationsforAntisocialBehavior caregiver ratings ((cid:4) (cid:1) .71 and .74, respectively), with somewhat Measures lowervaluesinchildself-report((cid:4)(cid:1).63and.61). The CBCL (Achenbach, 1991). The CBCL is a caregiver rat- Caregiverreports Childreports ing scale composed of 112 items concerning a child’s behavior rTime1-Time2 rTime1-Time2 withinthepast12months.Itemsareratedona3-pointscale(0(cid:1) Scale Boys Girls All Boys Girls All nottrue,1(cid:1)sometimesorsomewhattrue,2(cid:1)verytrueoroften true)andareusedtoderiveeightsubscales:Withdrawn,Anxious/ Reactiveaggression .93 .60 .81 .78 .46 .64 Depressed, Social Problems, Thought Problems, Attention Prob- Proactiveaggression .84 .70 .79 .74 .60 .67 Relationalaggression — — — .79 .77 .68 lems, Delinquent Behavior, Somatic Complaints, and Aggressive CPSFactor1 .85 .77 .81 .54 .62 .61 Behavior (Achenbach, 1991). For the purposes of the present CPSFactor2 .87 .73 .81 .67 .51 .61 article, however, only the Delinquent Behavior (13 items) and Conductdisordersymptoms .88 .57 .88 .75 .56 .64 Aggressive Behavior (20 items) subscales were used in our anal- CBCLdelinquency .87 .47 .85 — — — yses. The CBCL was administered during the laboratory visit to CBCLaggression .84 .80 .82 — — — Firstprincipalcomponent .95 .88 .94 .82 .83 .81 the caregivers in either survey (paper) or interview form. The CBCLwasadministeredtothecaregiversininterviewformrather Note. Allcorrelationswerehighlysignificant(p(cid:2).01).CPS(cid:1)Child than in paper form if the subject’s reading comprehension skills PsychopathyScale;CBCL(cid:1)ChildBehaviorChecklist. CHILDHOODASB 225 Statistical Analyses viduals with missing data on a given measure, within rater, were assignedamissingvalueforthecompositescale.Asmissingdata General issues. Descriptive statistics, mean level compari- on individual measures were relatively rare among children and sons, phenotypic correlations, and factor analyses were all con- caregivers, we had valid factor scores for more than 96% of the ducted using the SPSS (Version 11.5) statistical package. Multi- sample (N (cid:1) 1,175 for child-based factor scores, and N (cid:1) 1,193 variategeneticanalysisoftheratereffectsmodelswasconducted for caregiver-based factor scores). Among the 698 teachers who usingthestructuralequationmodeling(SEM)programMx(Neale, reportedontheantisocialbehaviorofthechildren,wecouldcreate Boker,Xie,&Maes,2003). factorscoresformorethan97%ofthem(N(cid:1)681;55.9%ofthe Missing data. Missing data for child- or caregiver reports of totalsampleof1,219individuals). the different antisocial behavior measures were quite rare. For One of the reasons for selecting Mx for the multivariate twin most measures, we had valid data for 1,210 to 1,219 of our total analysesisthatitusesfullinformationmaximum-likelihoodwhen sampleof1,219individualchildren.Missingdataweresomewhat fitting models to the raw data. Thus, all pairs in which at least 1 greaterforchildandcaregiverratingsofconductdisorder;still,we twinhasnonmissingdataonatleastonemeasurecanbeincluded had complete child and caregiver data for more than 95% of the in the analyses, and fit functions are based on the calculation of sample(seeTable3forindividualsamplesizesforeachmeasure). twice the negative log-likelihood of all nonmissing observations As detailed in the methods, the overall teacher response was (where an observation is defined by measure, not by individual). approximately 60%; however, valid teacher-report data on the Forthepresentanalyses,only1ofthe605possiblepairsdidnot antisocialbehaviormeasureswereobtainedforapproximately700 individual twins (57.4%). Of the 605 individual twin pairs, 269 have any usable data and was excluded from the twin analyses. pairs(44.5%)hadteacherreportsforbothtwins,andanadditional Nearly all of the 605 pairs (N (cid:1) 591 pairs, 97.8%) had valid 143pairs(23.6%)hadteacherreportsofantisocialbehaviorforat composite scores for both twins based on the caregiver ratings. leastoneofthetwotwins.Ofthe269pairsforwhomwehadvalid Over 90% (N (cid:1) 559 pairs, 92.4%) of the pairs sample had both teacher-report data for both twins, 111 pairs (41.4%) were in the caregiver and child-report composite scores for both twins, and sameclassroomatschoolandwerethusratedbythesameteacher 42.0%ofthesample(N(cid:1)254pairs)hadvaliddataforbothtwins informant. fromcaregiver,child,andteacherreports.Anadditional130pairs Missing data were handled in a variety of different ways. For (21.5%ofthesample)hadcompletedatafromcaregiverandchild phenotypic analyses of mean level differences and correlations reports, and teacher report data for 1 member of the twin pair. amongindividualsubscalesofASB,alistwisedeletionprocedure Although these latter pairs could not contribute information re- wasused,astheseanalysesareconductedfordescriptivepurposes gardingcovarianceacrosstwinsforteacherreports,theydidpro- only. For the creation of the factor-based composite scores, indi- videinformationforthesamplemeansandvarianceoftheteacher Table3 Aggression,Delinquency,andPsychopathy:MeansandStandardDeviationsbySexandInformant Childreport Caregiverreport Teacherreport Scalea Child’ssexb M SD N M SD N M SD N Reactiveaggression Malec,d,e 1.66 0.34 593 1.71 0.33 594 1.41 0.39 341 Femaled,e 1.61 0.31 623 1.63 0.33 625 1.28 0.30 356 Proactiveaggression Maled,e 1.09 0.17 593 1.11 0.17 594 1.16 0.26 341 Femalec,d,e 1.06 0.12 623 1.08 0.14 625 1.10 0.18 356 Relationalaggression Malee 1.24 0.29 593 — — — 1.28 0.35 339 Femalee 1.20 0.24 623 — — — 1.28 0.35 356 CPSFactor1 Malec 1.30 0.10 589 1.32 0.12 594 — — — Femalec 1.27 0.08 621 1.30 0.12 625 — — — CPSFactor2 Malec 1.25 0.15 589 1.27 0.19 594 — — — Femalec 1.23 0.14 621 1.21 0.16 625 — — — CBCLaggression Male — — — 6.36 5.34 589 5.76 8.25 339 Femaled — — — 5.27 5.20 624 3.64 6.46 359 CBCLdelinquency Male — — — 1.53 1.86 589 1.28 2.10 339 Femaled — — — 1.08 1.45 624 0.67 1.44 359 Conductdisordersymptoms(DISC-IV) Malec 1.12 1.91 575 1.44 2.02 588 — — — Femalec 0.64 1.29 602 0.90 1.54 611 — — — Note. CPS (cid:1) Child Psychopathy Scale; CPS Factor 1 (cid:1) Callous-unemotional; CPS Factor 2 (cid:1) Impulsive-irresponsible; CBCL (cid:1) Child Behavior Checklist;DISC-IV(cid:1)DiagnosticInterviewScheduleforChildren—VersionIV. aPossiblerangeofscoresis1–3forReactive,Proactive,andRelationalAggressionand1–2forChildPsychopathyFactor1andFactor2.CBCLscales reportedarerawscores,indicatingnumberofitemsendorsedwithineachscale,withamaximumpossibleof40forAggression,26forDelinquency,0–13 forConductDisorderSymptoms. bMeansforboysandgirlsaresignificantlydifferent(p(cid:2).01)withineachraterforeveryscaleexceptteacherratingsofrelationalaggression. cSignificant(p(cid:2).05)meandifferencesbetweencaregiverandchild. dSignificant(p(cid:2).05)meandifferencebetweencaregiverandteacher. eSignificant(p(cid:2).05)meandifferencebetweenchildandteacher. 226 BAKER,JACOBSON,RAINE,LOZANO,ANDBEZDJIAN reports,aswellasforthewithin-personcorrelationsacrossinfor- are common across raters). As described earlier, all additive ge- mants. Thus, including all 384 pairs (63.5%) for whom we had neticinfluences(A)correlate1.0acrossMZtwinsand0.5across valid teacher reports for at least 1 of the 2 twins minimized DZ twins, shared environmental (C) effects correlate 1.0 across potential sampling bias. Patterns of missingness did not vary twins,regardlessofzygosity,andnonsharedenvironmentalinflu- significantlybysexorzygosity(resultsofthechi-squareanalyses ences(E)didnotcorrelateacrosstwins.Allthreemodelsallowfor areavailableuponrequest).Forexample,validteacherreportdata informant-specific nonshared environmental influences (E , E , M K forbothtwinswereavailablefrom40.8%to48.8%ofanygiven and E ), as any given measure is an imperfect estimate of the T zygosity group. Complete pairwise data for caregiver and child underlying “true score”; thus, informant-specific nonshared envi- reports were available for more than 92% of any given zygosity ronmental effects in this model include errors of measure. In group. contrast, the nonshared environment that influences the common Geneticmodels. Theratermodelsusedwerebasedonexten- latentfactor(E )representsenvironmentalfactorsthatvaryacross C sionsofthetraditionalACEmodelthatistypicallyusedinbehav- twinsinthesamefamily,whicharesystematicallyassociatedwith ioral genetic studies. These models use information from the ASB(e.g.,differentialparentaltreatmentordifferentpeergroups). observedtwinvariancesandcovariances(calculatedfromtheraw Figure 1a presents the rater effects model, which allows for data) to partition the overall variance into additive genetic (A), additionalwithin-informantcorrelationacrosstwinsforcaregivers common (or shared) environmental (C), and nonshared environ- and teachers, due to the fact that the same rater is reporting on mental (E) influences (Neale & Cardon, 1992).1 In behavioral behavior for both twins. Individual twins only reported on their genetic models, additive genetic influences are correlated 1.0 own behavior; therefore, it was not possible to estimate rater among MZ twin pairs, as MZ twins have identical genotypes. In effects for child reports. As can be seen in Figure 1a, this model contrast, DZ twins share, on average, half of their segregating (also referred to as the correlated errors model; Simonoff et al., genes; thus, these models assume a correlation of .5 among DZ 1995) allows for latent variables representing rater effects to pairs.Theproportionofvariationthatisduetogeneticinfluences influence variation in caregiver and teacher reports (R and R , is called the heritability. Shared environmental factors include M T respectively). To the extent that ratings are influenced by the those environmental factors that serve to make individuals in a qualities of the informant, this would affect the ratings of both family similar to one another but that may differ across families. twins in a pair and may lead to overestimations of the twin Thus,sharedenvironmentalinfluencescanincludesuchfactorsas correlations.AsFigure1ashows,thecorrelationfortheratereffect SES, family structure, and shared peer influences, as well as among caregiver reports was 1.0, because all caregivers in our broader contextual factors (e.g., school or neighborhood effects). sample reported on the behavior of both twins. In contrast, the IntheACEmodel,sharedenvironmentalinfluencesarecorrelated correlationoftheratereffectforteacherscouldbeeither1.0or0, 1.0 across twin pairs, regardless of zygosity. Nonshared environ- dependingonwhetherthesameteacherratedbothtwins(acorre- mental influences are any environmental influences that serve to lation of 1.0) or whether a different teacher rated each twin (a makeindividualsdissimilar,includingmeasurementerrors(which correlationof0).ByusingafeatureofMxthatallowsfortheuse areassumedtoberandom).Bydefinition,nonsharedenvironmen- of definition variables as moderators of individual parameters talinfluencesdonotcorrelateacrosseitherMZorDZpairs. (Nealeetal.,2003),wewereabletouseadummycodeforeach Bycombiningdatafromallthreeinformantssimultaneouslyin twinpairasadefinitionvariablethatrepresentedwhetherthetwins multivariate genetic models, we are able to differentiate genetic andenvironmentalfactorsthatinfluenceasharedviewofantiso- were in the same classroom (and thus were rated by the same cial behavior from genetic and environmental factors that influ- teacher)tomultiplytheparameterfortheteacherratereffect(rT) ence each informant’s own particular rating. Moreover, we can by either 1.0 (same class) or 0 (different class). If rT (cid:5) 0, this alsoinvestigatetheextenttowhichratereffectsmayhavebiased wouldpredicthighercorrelationsamongtwinsratedbythesame estimates of heritability of ASB. Figure 1 shows the three multi- teacher. variate models used to address this issue. All three models are Figure1bshowsanalternativemultivariatemodelknownasthe variantsofacommonpathwaysmodel,whichallowedforgenetic measurement model. This model, which is a restricted version of and environmental influences on observed measures to operate the model presented in Figure 1a, eliminates the rater effects for through a single underlying phenotype (i.e., A , C , and E ; see caregiverandteacherreports.Thecriticalassumptionofthemea- C C C Kendler, Heath, Martin, & Eaves, 1987; McArdle & Goldsmith, surementmodelisthatthelatentvariablerepresentingtheshared 1990,fordetailsoncommonpathwaysmodels).2Inmultiple-rater view is the “true” representation of ASB and that all meaningful analyses,theunderlyinglatentvariablethatallowsforcorrelations genetic and environmental influences on variation in reports of across raters reflects a common, or shared, view of the child’s antisocial behavior. The genetic and environmental factors that influence this underlying shared view are further unbiased by 1Preliminary univariate analyses within each informant addressed whethermodelswithnonadditivegeneticvariancefitbetterthanmodels either rater effects or measurement error, as these latter effects with common environmental variance (i.e., ACE vs. ADE models) and influence only the rater-specific views (this is discussed in more whethertherewasevidenceforsiblinginteractioneffects.Resultsindicated detaillater).Eachrater’sindividualviewloadsontheunderlying thattheACEmodelwithoutsiblinginteractioneffectswasthebestmodel latentfactorthroughthepathsmarked(cid:6)(withsubscriptsM,K,and foreachinformant(resultsareavailableuponrequest). Treferringtocaregiver[mother],child[kid],andteacherreports, 2WealsofitlessstringentindependentpathwaysandCholeskymodels respectively). Genetic and environmental influences that account toourdata.BasedonBayesianinformationcriterionvalues,thecommon forvariationinthesharedviewofASBaredepictedthroughpaths pathwaysmodelofferedabetterbalanceofgoodnessoffitandparsimony a , c , and e (whereby the subscript C refers to influences that thaneitheroftheseotherlessrestrictivemodels. C C C CHILDHOODASB 227 ASB are operating through the latent phenotype. Any residual (E).Thus,theamountofvarianceaccountedforbyrater-specific variance on each rater’s individual perception of ASB that is not E should be consistent with estimates of the reliability of each explainedbythelatentphenotypeisassumedtoberandommea- rating. surement error that is not systematically related to characteristics Figure 1c shows the third and final model, which is the full of the rater and is, therefore, modeled as nonshared environment version of the common pathways model for multiple raters. In addition to allowing for the uncorrelated errors of measurement andratereffects(i.e.,correlatederrorsofmeasurement)foundin the aforementioned rater effects and measurement models, this modelfurtherallowsforspecificgeneticandsharedenvironmental factors to influence variation in each informant’s own ratings of the child’s ASB. For simplicity, the model is shown for 1 twin only; however, the specific A and C influences on each infor- mant’s report of ASB correlate across twin pairs in the manner described earlier. As shown, the model allows for genetic influ- enceonthespecificviewpointsofeachrater(A ,A ,andA ).The M K T general assumption is that these genetic factors represent valid genetic variance that arises because each rater “sees” different aspects of ASB (but see the Discussion section for alternative explanations). Similarly, different rater perceptions of ASB can alsobeinfluencedbysharedenvironmentalfactors(C ,C ,and M K C ). In this model, the potential effect of shared environmental T influenceoncaregiver’sreportsofASBisconfoundedbypotential rater effects, both of which would increase correlations of care- giverratingsacrosstwins,regardlessofzygosity(seeHewittetal., 1992, for details). This is represented by the dashed lines for the R andC effects.Becauseofthisconfound,onlyoneparameter M M canbeestimatedinthecommonpathwaysmodel,andthisparam- etermayrepresentsharedenvironmentinfluences,aratereffect,or somecombinationofboth.Incontrast,becauseonlysometeachers rateonly1twinperfamily,andothersratebothtwins,theshared environmental influences on teacher reports can be statistically differentiatedfrompotentialraterbias.Asexplainedearlier,chil- dren reported only on their own behaviors; thus, the common pathwaysmodelcannotestimateratereffectsforchildreports. The critical difference between this model and the models presentedinFigure1aand1bisthatthismodeltreatsdifferences inreportsofASBacrossratersasmeaningful.Inotherwords,this model assumes that there are systematic causes for disagreement among parents, teachers, and children that are not solely due to random errors of measurement and/or perceptual biases. This model would be consistent with the notion that parents, teachers, andchildrenprovideauniqueperspectiveonthechild’sbehavior Figure 1. (a) Rater effects model. (b) Measurement model. (c) Full commonpathwaysmodel.Observedvariablesarerepresentedbyrectan- gles; latent variables are represented by circles. A (cid:1) additive genetic effects;C(cid:1)shared(common)environmentalinfluences;E(cid:1)nonshared environmentalinfluences;R(cid:1)ratereffects;MZ(cid:1)monozygotic;DZ(cid:1) dizygotic;Cgvr(cid:1)caregiver;Tchr(cid:1)teacher.Pathcoefficientswitha,c,e, and r correspond to the effects of these latent factors on the observed variables.Pathsmarkedwith(cid:6)representthefactorloadingsontheshared view of antisocial behavior for each individual rater. Factors and corre- sponding path coefficients that reflect influences on the shared view of antisocial behavior are subscripted with C. The subscripts M, K, and T refertofactorsandcorrespondingpathcoefficientsthatarespecifictothe caregiver(M),child(K),andteacher(T)reports,respectively.AlllatentA, C,E,andRfactorshaveanassumedvarianceof1.0;thevarianceinthe factorrepresentingthesharedviewhaslikewisebeenconstrainedtounity. 228 BAKER,JACOBSON,RAINE,LOZANO,ANDBEZDJIAN andthatnosingleinformantmaynecessarilybeconsideredmore obtained on the CPS; the Aggression and Delinquency subscales validorreliablethananother. from the CBCL; and conduct disorder symptom counts from the Model comparisons. One of the advantages of using SEM to DISC–IV.MeandifferencesinASBwereexaminedbetweenboys estimate genetic and environmental influences on variation and and girls, as well as among different informants. Significant sex covariation among traits or behaviors is that SEM provides a differences(p(cid:2).01)emergedintheexpecteddirection(boys(cid:5) framework for evaluating how well the theoretical model (or girls)forallscalesexceptforteacherratingsofrelationalaggres- models) fits the observed behavior. Traditionally, two statistics sion, which showed no significant sex difference. Antisocial be- have been used to compare the fit of two nested models: the haviorwasclearlymoreprevalentinboysthaningirlsatthisage. likelihood-ratio test (LRT) statistic (Neale & Cardon, 1992) and Thesemeanleveldifferenceswereconfirmedinthegeneticanal- the Akaike information criterion (AIC; Akaike, 1987; Medsker, yses (results are available upon request); thus, means were esti- Williams,&Holahan,1994).TheLRTisobtainedbycomparing matedseparatelyformalesandfemalesinallofthetwinmodels. the–2log-likelihood(–2LL)ofacomparisonmodeltothe–2LL Although not shown in the table, it is noteworthy that diagnostic ofanested(reduced)model.TheLRTstatisticisthedifferencein rates of disorders in this community sample are comparable to –2LLbetweenthetwomodels,whichisdistributedasachi-square thosereportedinDSM–IV,forbothconductdisorder(n(cid:1)25boys, statisticwithdegreesoffreedomequaltothedifferenceindegrees 4.2%;n(cid:1)10girls,1.6%receiveddiagnosesfromeitheryouthor offreedombetweenthetwomodels.TheAICiscalculatedasthe parentinterviews)andoppositionaldefiantdisorder(n(cid:1)70boys, LRTminustwicethedifferenceindegreesoffreedom;itindexes 11.9%;n(cid:1)49girls,8.1%;seeBakeretal.,2006).Boththelevel bothgoodnessoffitandparsimony:ThemorenegativetheAIC, andtherangeofASBinthisethnicallydiversecommunitysample the better the balance between goodness of fit and parsimony. of twins thus appear to be comparable to those in other nontwin More recently, the Bayesian information criterion (BIC) is also populationsofchildren. being used to evaluate model fit. The BIC is similar to the AIC, Severalsignificantdifferencesamonginformantsalsoemerged except that it also adjusts for sample size (for details on the BIC (seeTable3).Caregiversprovidedsignificantlyhigherratingsthan andacomparisonoffitstatisticsusingsimulateddata,seeMarkon boys’ratingsofthemselvesforfourofthefivescalestheyhadin &Krueger,2004).Inthisarticle,wepresentallthreefitstatistics, common (reactive aggression, CPS Factors 1 and 2, and conduct although when there is discrepancy, preference was given to the disorders,butnotproactiveaggression).Forgirls,asimilarpattern BIC(adjustedforsamplesize),basedontheresultsofindependent of higher ratings by caregivers than self-reports was also evident simulationstudies(Markon&Krueger,2004). forseveralscales(proactiveaggression,CPSFactor1,andconduct Evaluationofmodelfitforthemultivariateanalysesisdoneat disordersymptoms),althoughcaregiverratingsofgirlswerelower twodifferentlevels.First,amodelisfittothedatathatperfectly for CPS Factor 2 and not significant for reactive aggression. recaptures the observed means, variances, and within- and cross- Caregiversthusdidnotgenerallyratechildrenhigherorlowerthan twin covariances from the three informants simultaneously. This children rated themselves across the board, although some rater “saturated”modelprovidesa–2LLstatisticthatcanbeusedasthe differenceswereevidentforbothgenders.Comparisonsofteacher baselikelihoodfromwhichtheAICandBICstatisticsfromeach andcaregiverratingsofboysalsorevealedsignificantdifferences theoreticalmodelarecalculated,providingastandardizedestimate forallscalesexceptCBCLAggressionandDelinquency,although ofAICandBICvaluesforcomparison.Moreover,bycomparing direction of difference again depended on the scale (i.e., teacher thefitofeachofourACEmodelstothefitofthissaturatedmodel ratingslowerforreactiveaggression,buthigherforproactiveand usingtheLRT,weobtainan“absolute”estimateofhowwelleach relationalaggression).Thepatternofcaregiver–teacherdifferences ofourhypothesizedmodelsfitstheobserveddata.Second,wecan wassimilaringirls,wherebyteachersagainprovidedsignificantly alsocalculateanLRTstatisticbycomparingACEmodelsthatare lower ratings for reactive aggression, and all three CBCL scales, “nested”withineachother.Wenotethatthemeasurementmodel but higher ratings for proactive aggression. Teacher ratings were (Figure 1b) is a nested submodel of the rater effects model (Fig- alsosignificantlylowerthanchildself-reportforreactiveaggres- ure 1a), which is itself a nested submodel of the full common sion in both boys and girls, but higher for proactive aggression. pathways model (Figure 1c); therefore, LRT statistics can be Although not shown in the table, there were no differences in calculatedforeachsetofcomparisons.Moreover,thesignificance caregiver or child reports between children with teacher reports of potential sex differences can also be calculated by obtaining and children without teacher reports (results are available upon LRT, AIC, and BIC values from a model where A, C, and E request). parametersareallowedtovarybysexwithamodelthatconstrains theparameterstobeequalforboysandgirls. The Unidimensionality of ASB in Childhood Phenotypic correlations. We next tested whether each of the Results indices of antisocial behavior could be considered manifestations Sex and Informant Differences in Mean Level ASB of a single higher order construct of externalizing behavior. We examined this through both correlational and principal- Descriptive statistics (means and standard deviations) for the components analysis of the various ASB measures obtained variousratingscalesofaggressionanddelinquencyareprovidedin through each rater. Table 4 presents the full correlation matrix Table 3, separately for caregiver, child, and teacher reports for (18 (cid:7) 18) for boys (above the diagonal) and girls (below the boys and girls. These include proactive, reactive, and relational diagonal). Moderate to high correlations were found among the aggression, measured using the CAQ; psychopathy Factor 1 scalesofaggressionanddelinquencywithineachrater,withcor- (Callous–Unemotional) and Factor 2 (Impulsive–Irresponsible) relations ranging from .47 to .66 among child report measures,

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parent, children, and teachers have only a partly “shared view” and that the .. and individual reports of their twins' zygosity and each child's .. Each of the items in the CAQ was rated on a 3-point scale. (0 . assigned a missing value for the composite scale Kendler, Heath, Martin, & Eaves,
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