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JournalofAbnormalPsychology Copyright2006bytheAmericanPsychologicalAssociation 2006,Vol.115,No.3,524–538 0021-843X/06/$12.00 DOI:10.1037/0021-843X.115.3.524 Developmental Trajectories of Co-Occurring Depressive, Eating, Antisocial, and Substance Abuse Problems in Female Adolescents Jeffrey R. Measelle Eric Stice UniversityofOregon UniversityofTexasatAustin Jennifer M. Hogansen UniversityofOregon Growth trajectories of co-occurring symptomatology were examined in a community sample of 493 femaleadolescentswhowerefollowedannuallyfromearlytolateadolescence.Onaverage,depression, eating disorder, and substance abuse symptoms increased over time, whereas antisocial behavior decreased. Increases in each symptom domain were associated with relative increases in all other domains. Initial depressive and antisocial behavior symptoms predicted future increases in the other; substanceabuseandantisocialbehaviorsymptomsalsoshowedprospectivereciprocalrelations.Initial depressionpredictedincreasesineatingdisorderandsubstanceabusesymptoms.Initialeatingdisorder symptomspredictedincreasesinsubstanceabuseproblems.Finally,theresultssuggestthatthedevel- opmentalcovariationbetweendepressiveandeatingdisordersymptomsandbetweenantisocialbehavior andsubstanceabusesymptomswasaccountedforbydistinctbutrelated2nd-ordergrowthparameters. Keywords:comorbidity,developmentaltrajectories,femalepsychopathology Recentepidemiologicalinvestigationsofgender-relatedaspects course of co-occurring domains of psychopathology. Relatively of psychopathology have helped to elucidate a number of worri- little is known about the temporal relations among symptom do- someaspectsaboutfemalepsychopathologyduringthe2nddecade mainsoraboutindividualdifferencesinmentalhealthtrajectories of life. For female adolescents, adolescence is characterized by comprising co-occurring problems. In addition, few studies have increased levels of symptomatology in a number of domains, prospectively examined more than two co-occurring conditions, particularlydepression,eatingpathology,andsubstanceusesymp- particularly those that span syndromal domains, which seem im- toms(Langerbucher&Chung,1995;Lewinsohn,Pettit,Joiner,& portantgivenevidencethatthepresenceofathirdsyndromemight Seeley, 2003; Stice, Killen, Hayward, & Taylor, 1998); external- significantlyalterdevelopmentalprocesses(Harrington,Rutter,& izing problems are also common among teenage girls (Broidy et Frombonne,1996). al., 2003). Further, adolescence is marked by high rates of co- The overarching goal of this study was to examine the devel- occurringpsychopathologyforgirls(Kessleretal.,1994).Indeed, opmentaltrajectoriesofthesymptomsofpsychiatricdisordersthat rates of female comorbidity typically surpass the rates of single oftenco-occurovera5-yearspanofadolescence.Specifically,we disorders(Angold,Costello,&Erkanli,1999;Kessleretal.,1994) investigated the course and covariation among four domains of andtendtoincreasewithage(Tolan&Henry,1996). self-reported symptomatology in a community sample of female Althoughprogresshasbeenmadeinunderstandingpsychiatric adolescents:depressive,eatingdisorder,antisocial,andsubstance comorbidity (Angold et al., 1999; Caron & Rutter, 1991), signif- abusesymptoms.Theaimswereto(a)characterizegirls’symptom icant gaps in knowledge remain regarding the developmental trajectories during adolescence, (b) examine the temporal associ- ationsamongco-occurringsyndromes,and(c)determinethenum- ber of higher order factors needed to adequately describe the relations among the first-order growth factors. To address these JeffreyR.MeaselleandJenniferM.Hogansen,DepartmentofPsychol- aims,weusedlatentgrowthcurvemodels(LGMs).Giventhatour ogy,UniversityofOregon;EricStice,DepartmentofPsychology,Univer- sampleofgirlsrangedfrom13to15yearsofageatthefirstoffour sityofTexasatAustin. ThisstudywassupportedbyNationalInstitutesofHealthcareeraward annual assessments, we used an age-based analytic approach MH01708 and research grant MH/DK61957. We thank Daniel Bauer, (Mehta & West, 2000) in which we fit growth curves in each TerryDuncan,andHelenaKraemerfortheirvaluablecontributionstothe symptomdomainthatspanneda5-yearperiodofadolescencefrom analysesandinterpretationofthesedata.Wealsothanktheprojectresearch age13to18. assistants, Sarah Kate Bearman, Emily Burton, Melissa Fisher, Lisa Groesz,NatalieMcKee,andKatyWhitenton;ournumerousundergraduate Single and Co-Occurring Syndromes Over Time volunteers; the Austin Independent School District; and the participants whomadethisstudypossible. Depression CorrespondenceconcerningthisarticleshouldbeaddressedtoJeffrey R. Measelle, Department of Psychology, University of Oregon, Eugene, Depressionisthemostprevalentpsychiatricproblemforfemale OR97401.E-mail:[email protected] adolescents, with nearly 20% experiencing clinically significant 524 FEMALECOMORBIDITYTRAJECTORIES 525 depressive symptomatology during the teenage years (Kessler, Antisocial Behavior Avenevoli,&Merikangas,2001;Lewinsohnetal.,2003).Interms of the developmental course, studies suggest that a significant Although preadolescent conduct problems occur more fre- proportion of female adolescents will show increasing levels of quently in boys than in girls (Moffitt & Caspi, 2001), the preva- depressivesymptomsovertime(Garber,Keiley,&Martin,2002; lence of conduct problems is similar in male and female adoles- Lewinsohn et al., 2003). Although there is some variation in the cents(Hinshaw&Lee,2003;Moffitt,Caspi,Harrington,&Milne, symptomsofdepressionthatoccurovertime(Angst,Merikangas, 2002). The developmental trajectories of girls’ conduct problems & Preisig, 1997), severity levels have been shown to increase havereceivedlittleattention.Oneexceptionfoundthatgirls(and duringadolescenceandearlyadulthood(Lewinsohnetal.,2003). boys) showed declining levels of externalizing symptoms during Intermsofcomorbidity,girlswithdepressionfrequentlyexpe- adolescence (Bongers, Koot, van der Ende, & Verhulst, 2003). rience elevated levels of anxiety, conduct, substance abuse, and However, there is evidence that girls’ (and boys’) conduct prob- eating disorder symptomatology (Angold et al., 1999; Kessler et lems tend to increase over time when they co-occur with depres- al., 2001; Rohde, Lewinsohn, & Seeley, 1991; Stice, Presnell, & sion (Beyers & Loeber, 2003; Silberg et al., 2003). Indeed, the Bearman, 2001). Research investigating the temporal relations developmental course of antisocial behavior across adolescence betweensymptomsofdepressionandco-occurringproblemssug- appearstobesignificantlyintertwinedwithco-occurringformsof gests that depressive symptoms tend to follow the onset of other psychopathology, particularly depression and substance abuse mood-related problems (Avenevoli, Stolar, Li, Dierker, & Ries symptoms (Angold et al., 1999; Loeber, Stouthamer-Loeber, & Merikangas, 2001) as well as conduct problems (Rohde et al., White, 1999). Among girls, however, little is known about the 1991;Silberg,Rutter,D’Onofrio,&Eaves,2003).Thesefindings temporal relations among antisocial behavior and co-occurring have led to speculation that depressive comorbidity is either a symptomatology(Hinshaw&Lee,2003). nonspecificreflectionofgeneralpsychopathologyorareactionto the failures in adaptation created by earlier behavior problems Substance Abuse Problems (Capaldi & Stoolmiller, 1999). However, there is also evidence that elevated depressive symptoms predict future onset of other Substance abuse also typically emerges during adolescence disturbances, including eating pathology (Stice, Burton, & Shaw, (O’Malley,Johnston,Bachman,&Schulenberg,2000).Although 2004; Stice, Presnell, & Spangler, 2002). Because prospective there are some gender differences in the substances used (e.g., comorbidityresearchissparse,itisnotclearhowtheassociations male adolescents use and abuse alcohol more than do female between depressive symptoms and other symptom areas change adolescents, whereas female adolescents favor stimulants; Chas- over time or how the reciprocal influences among co-occurring sin,Ritter,Trim,&King,2003),epidemiologicalstudiessuggest symptomdomainsbecomeestablished. that substance abuse symptoms increase steadily across adoles- cence in female adolescents (Johnson, Cohen, Kotler, Kasen, & Brook,2002). Eating Problems Longitudinal studies indicate that the developmental trajectory Eatingpathologyisanothercommonpsychiatricproblemfaced ofsubstanceabusesymptomsdependslargelyontheageofonset. primarily by girls (Lewinsohn, Striegel-Moore, & Seeley, 2000; Earlyonsetofsubstanceabuse(e.g.,beforeage15)isassociated Wilson, Becker, & Heffernan, 2003), and middle to late adoles- with a stable and escalating course of abuse for girls (Chassin, cence represents the period of greatest risk for onset of these Pitts,&Prost,2002;Nagin&Tremblay,2001).Investigationsof problems(Lewinsohnetal.,2000;Stice,Killen,etal.,1998).The substance abuse trajectories that consider other forms of psycho- trajectories of eating problems appear highly variable and are pathology find that female substance abuse development is inter- defined by considerable instability (Stice et al., 2002). Many woven with antisocial, depressive, and eating disorder symptom- female adolescents will recover after initial elevations in eating atology (Angold et al., 1999). Prospective studies indicate that disordersymptomatology,whereasotherswillmanifestpatternsof substance abuse symptoms typically follow onset of other distur- relapse and recovery (Fairburn, Cooper, Doll, Norman, & bances,especiallyantisocialsymptoms(Brook,Cohen,&Brook, O’Connor, 2000). Much remains to be understood about the pro- 1998).Rohde,Lewinsohn,andSeeley(1996),however,foundthat spective nature of eating pathology, particularly eating disorder alcoholabuseprecededfuturedepressioninfemaleadolescents.In symptomsthatco-occurwithothersymptomdomains. general, a lack of prospective work on female adolescents leaves Eatingproblemsshowhighratesofco-occurrencewithsubstance open the question of temporal sequencing with certain substance abuse (Dansky, Brewerton, & Kilpatrick, 2000; Strober, Freeman, abusecomorbidities. Bower,&Rigali,1996)anddepressivesymptoms(Lewinsohnetal., 2000;Sticeetal.,2001).However,understandingtheprocessesthat Overview of Study giverisetothesecomorbiditiesaswellasclarityabouttheirtemporal interplayremainstentative.Forexample,eatingdisorderanddepres- The goal of this study was to examine the codevelopment of sivesymptomatologyappeartocovaryovertime(Sticeetal.,2001); depression,eatingdisorder,antisocial,andsubstanceabusesymp- however,theoriginandthecourseofthiscovariationareunclear.As tomsinacommunitysampleoffemaleadolescentswhovariedin withanypairofsyndromes,eatingdisorderanddepressivesymptom- agefrom13to15yearsatthefirstoffourannualassessments.We atology may covary as a function of shared risk, a direct causal usedLGMstoaddressthesequestions,asitcanprovideunivariate association (or reciprocal causality), or a common underlying syn- and multivariate estimates of stability and time-related change dromeofpsychopathology(e.g.,similarcognitivebiases;Fergusson, (T. E. Duncan, Duncan, Strycker, Li, & Alpert, 1999; Willett & Lynskey,&Horwood,1996;Zoccolillo,1992). Sayer,1994).Ouruseofanage-basedanalyticapproach(Mehta& 526 MEASELLE,STICE,ANDHOGANSEN West,2000)enabledustogenerategrowthcurvesineachsymp- domains of psychopathology (Krueger, 1999; Vollebergh et al., tomdomainthatspanneda5-yearperiodofadolescencefromage 2001). By extension, more than one set of higher order growth 13 to 18. We focused on female adolescents because these data factors may be needed to represent patterns of codevelopment weredrawnfromalongitudinalstudyoftheriskfactorsforeating among depression, eating disorder, antisocial, and substance use pathology,whichpredominantlyaffectsgirls.Wefeltthiswasan symptomatology. Our a priori expectation was that two higher appropriate sample because girls often experience symptomatic orderfactorswouldbenecessary,onetoaccountforthecodevel- increases in depression (Hankin et al., 1998), substance abuse opment of depressive and eating disorder symptomatology and (Langerbucher&Chung,1995),andeatingproblems(Stice,Bar- another to account for the codevelopment of antisocial and sub- rera, & Chassin, 1998) during adolescence. Antisocial behavior stanceabusesymptoms.Theoriesofaffectdisturbanceandmood mayalsobemorecommoninfemaleadolescentsthanwaspreviously regulation often link depressive symptomatology and eating pa- thought(Cote,Zoccolillo,Tremblay,Nagin,&Vitaro,2001). thology (Stice et al., 2004), whereas models of behavioral disin- Our first objective was to characterize the developmental tra- hibition and poor impulse control often link antisocial behavior jectory of each domain as well as to evaluate the amount of and substance abuse problems (Pennington, 2002). Support for a sample- and individual-level variability in the initial levels and two-factorhigherordermodelmighthelptoelucidatesimilarities rates of change in each symptom domain. Although there have and differences among symptom domains. An improved under- been longitudinal investigations of the trajectories of psychopa- standing of the latent structure underlying co-occurring symptom thologyinsamplesofmaleadolescents,littleisknownaboutthe domainsmighteventuallyhelpidentifysharedversusspecificrisk trajectories of female adolescents’ symptomatology. Of interest factors (O’Connor, McGuire, Reiss, Hetherington, & Plomin, waswhethergirls’symptomtrajectorieschangedinalinear(con- 1998;Silbergetal.,2003). stant)ornonlinearfashionacrossa5-yearspanofadolescence. Oursecondobjectivewastoexaminethetemporalassociations Method among symptom dimensions to better understand whether initial elevations in one symptom domain predicted future increases in Participants other symptom domains. The use of a multivariate LGM (T. E. Participants were 496 female adolescents who were assessed annually Duncanetal.,1999)thatexaminedtheassociationsamonggrowth overa5-yearperiod(Time1–Time5[T1–T5]).Becauseantisocialbehav- parameters enabled us to test processes that might influence the iorwasnotassessedatT1,onlydatafromT2,T3,T4,andT5wereused expressionofsymptomco-occurrenceovertime.Initiallevelsand inthepresentreport.Thisstudyhadalowattritionrateandlittlemissing growth of two syndromes may be related with neither predicting data.Oftheoriginal496femaleadolescentswhostartedthestudyatT1, futurechangesintheother(unrelatedcoexistence),initiallevelsof 493hadusabledataatT2–T5,andofthese,theamountofmissingdata one syndrome may predict future changes in the other (unidirec- rangedfrom1.4%to9.7%,dependingonthevariable.1Thetimebetween tionaleffect),orinitiallevelsofbothsyndromesmaypredictfuture assessmentswasapproximately1year(M(cid:1)376days,SD(cid:1)6days),with changesintheother(reciprocaleffects;Caron&Rutter,1991).It 80%ofthesamplecompletingeachassessmentwithin(cid:2)15daysoftheir prior assessment and the remaining girls within (cid:2)30 days of their prior isimportanttoinvestigatesuchalternativeexplanationsofsymp- assessment. tom co-occurrence because each has distinct etiological, preven- AtT2,therewasageheterogeneityinthesampleasgirlsrangedinage tion,andtreatmentimplications.Forexample,ifsubstanceabuse from12to15years(M(cid:1)14.48,SD(cid:1)0.67).Toconductanage-based is a risk factor for depression, but not vice versa, prevention analysis(followingproceduresoutlinedbyMehta&West,2000),wefirst programswouldneedtotargettheformertoeffectivelyreducerisk roundedparticipants’agetothenearestwholeyear.Fivegirlswerewithin forbothconditions. 2 months of 151⁄2 years; given the instability associated with estimating Our third objective was to determine the number of second- trajectory means for just five 16-year-olds, the age of these girls was orderfactorsneededtoaccountforthevarianceinandcovariation rounded to 15. This resulted in a sample comprising 123, 243, and 127 amongfirst-orderinterceptandgrowthfactors.Thegeneralnotion thirteen-,fourteen-,andfifteen-year-olds,respectively,atT2.Participants ofasecond-orderfactormodelisonefamiliartoresearchersusing werefromfourpublic(82%)andfourprivate(18%)schoolsinametro- politanareaofthesouthwesternUnitedStates.Thesampleincluded2% obliqueconfirmatoryfactoranalysis,inwhichthequestionarises Asian/Pacific Islanders, 7% African Americans, 68% Caucasians, 18% as to the source of the obliqueness among first-order factors Latinas,1%NativeAmericans,and4%whospecified“other”or“mixed” (Hancock, Kuo, & Lawrence, 2001). One explanation of comor- racialheritage,whichwasrepresentativeoftheethniccompositionofthe bidity is that it constitutes an undifferentiated accumulation of schoolsfromwhichwesampled(2%Asian/PacificIslanders,8%African distress(Krueger,1999;Lilienfeld,2003).Ifasinglehigherorder Americans, 65% Caucasians, 21% Hispanics, 4% “other” or “mixed”). growthfactorcouldadequatelycharacterizethetemporalcovaria- Averageeducationalattainmentofparents(29%highschoolgraduateor tionamonggirls’depressive,eatingdisorder,antisocial,andsub- stanceabusesymptoms,thismightbeinterpretedassupportfora core or common factor explanation of symptom co-occurrence. 1Mplus draws on the theory of Little and Rubin (1987; expectation/ Evidenceofacorefactormightalsosuggestthatstrongdiagnostic maximizationalgorithm)toallowfortheinclusionofrespondentswhose data appear to be missing at random. Through the use of maximum- lines separating common syndromes might be developmentally likelihoodestimation,theactualdataaresortedintomissingandnonmiss- premature during adolescence. Alternatively, a core factor might ingpatterns.Mplusthenestimatesacovariancematrixfromtheavailable suggestthepresenceofcommonrisk,suchassharedgeneticrisk raw data and a second coverage matrix in which missing data are held (Silbergetal.,2003)oracoretypeoftemperamentalvulnerability constant to correspond with the maximum-likelihood estimation of that (Krueger,Caspi,Moffitt,&Silva,1998). portionofthenonmissingmodel(Muthe´n&Muthe´n,2001).Thus,while Studies with adults suggest that more than one higher order not imputing new data, Mplus estimates latent models by using the factor is needed to account for the covariation among common maximum-likelihoodestimationofthecoveragematrix. FEMALECOMORBIDITYTRAJECTORIES 527 less,23%somecollege,33%collegegraduate,15%graduatedegree)was .88)and1-weektest–retestreliability((cid:1)(cid:1)1.00)inthepresentstudy(Stice alsosimilartocensusdataforcomparablyagedadults(34%highschool etal.,2004). graduateorless,25%somecollege,26%collegegraduate,15%graduate Antisocial behavior. Girls’ antisocial behavior symptoms were as- degree). sessed with 13 items from the Externalizing Syndrome of the Child Behavior Checklist (CBCL), 5 of which came from the CBCL’s Delin- quency subscale and 8 of which came from the CBCL’s Aggression Procedure subscale (Achenbach & Edelbrock, 1983). In the present study, the re- sponsescalewasexpandedtoa5-pointformat,rangingfrom1(never)to Thestudywasdescribedtoparentsandparticipantsasaninvestigation 5(always),toincreasevariance.Severityratingsforall13symptomswere of adolescent mental and physical health. An active parental consent averagedtoformacontinuouslymeasuredantisocialbehaviorcomposite procedurewasusedtorecruitparticipants,inwhichaninformed-consent ((cid:2)(cid:1).91atT2).Thissymptomcompositeevidencedinternalconsistency letterandastampedself-addressedreturnenvelopeweresenttoparentsof ((cid:2)(cid:1).88),1-yeartest–retestreliability(r(cid:1).62),andpredictivevalidityin eligiblegirls(asecondmailingwassenttononrespondersafter2weeks). apriorstudy(Stice,Barrera,&Chassin,1998). Adolescent assent was secured immediately before data collection took Substanceabuse. ItemsadaptedfromStice,Barrera,&Chassin(1998) place. This procedure resulted in an average participation rate of 56%. assessed DSM–IV substance abuse symptoms over the past year. These Althoughlowerthanwehopedfor,thisparticipationratewassimilarto itemswerespecificallydevelopedtoassesssubstanceabuseinadolescents. thatofotherschool-recruitedsamplesthatusedactiveconsentprocedures Items were averaged to create a substance abuse symptom composite at andinvolvedstructuredinterviews(e.g.,61%;Lewinsohn,Hops,Roberts, each time point ((cid:2)(cid:1) .86 at T2), ranging from 0 (never) to 2 (twice or & Seeley, 1993). Furthermore, two pieces of evidence suggest that our more). Prior work with this measure indicated that these items possess samplewasrepresentative.First,asjustdescribed,theethniccomposition adequate internal consistency ((cid:2)(cid:1) .85) and convergent validity (Stice, and parental education of the sample were comparable to the ethnic Barrera,Chassin,1998;Sticeetal.,2001).Pilottesting(N(cid:1)62)revealed composition of the schools from which we sampled. Second, the 1-year a1-monthtest–retestcoefficientof.78forthesubstanceabusesymptom prevalenceratesofmajordepression(4.2%),bulimianervosa(0.4%),and composite.Moregenerally,self-reportsofsubstanceabuseappeartobethe substanceabuse(8.9%;Sticeetal.,2001)weresimilartotheprevalence most valid measure of substance abuse (Winters, Stinchfield, Henly, & ratesfromotherepidemiologicalstudies(Lewinsohnetal.,1993). Schwartz,1991). Girlscompletedaquestionnaire,participatedinastructuredinterview, andhadtheirweightandheightmeasuredbyfemaleresearchassistantsat allassessments.Femaleassessorswithabachelor’s,master’s,ordoctoral Statistical Analyses degreeinpsychologyconductedallinterviews.Assessorsattended24hrof training,inwhichtheylearnedinterviewskills,revieweddiagnosticcriteria WeusedMplus(Version2.13,Muthe´n&Muthe´n,2001)tofitLGMs forrelevantdisordersintheDiagnosticandStatisticalManualofMental using maximum-likelihood estimation procedures. For our purposes, Disorders(4thedition;DSM–IV;AmericanPsychiatricAssociation,1994), Mpluswasanappropriateoptionasitallowedfortheestimationofgrowth observedsimulatedinterviews,androle-playedinterviews.Assessorshad parametersinthepresenceofageheterogeneitybyusingthemissing-data todemonstrateaninterrateragreementfordiagnoses((cid:1)(cid:3).80)withexperts approachinwhichtheoutcomeateachdistinctageinthedataisreadinas using tape-recorded interviews before collecting data. Interviewers were aseparatevariable,andeachindividualisassumedtohavemissingdataat recordedperiodicallythroughoutthestudytoensurethatassessorscontin- agesforwhichshedidnotprovidedata(Mehta&West,2000;Muthe´n& uedtodemonstrateacceptableinterrateragreement((cid:1)(cid:3).80).Assessments Muthe´n, 2001). A common LGM is then applied using these individual tookplaceduringregularschoolhoursorimmediatelyafterschoolonthe growthcurves.FollowingproceduresoutlinedbyMehtaandWest(2000), schoolcampusoratparticipants’houses.Girlsreceivedagiftcertificateor weestimatedthegrowthparametersinourLGMswithagescaledtoage cashforcompletingeachassessment. 13,theyoungestvalueatourfirstwaveofdata. We took an empirical approach to testing the error variance in each Measures LGM.Becauseamodelwithhomoscedasticvariance(invariantacrosstime points) is nested within a model with heteroscedastic variance (varying Depressivesymptoms. AnadaptedversionoftheScheduleforAffec- acrosstimepoints),wecomparedthefitofeachtoseewhichwasmore tive Disorders and Schizophrenia for School-Age Children (K-SADS; tenable.Ourinitialexpectationwasthatdifferenterrorvarianceswouldbe Puig-Antich,1982),astructuredpsychiatricinterview,wasusedtoassess neededbecauseofage-relateddifferencesinmeasurementerroraswellas diagnosticcriteriaforDSM–IVmajordepression.Severityratingsforeach the possible influences of actual age-specific events on girls’ reporting, symptomwereaveragedtoformacontinuousdepressivesymptomcom- whichmayhaveagreaterimpactatsomeagesthanothers.Additionally, posite((cid:2)(cid:1).85atT2),rangingfrom1(never)to4(always).TheK-SADS wetestedtoseewhetherallowingforcovaryingerrors,specificallyauto- generallyhasgoodtest–retestreliability((cid:1)(cid:1).63–1.00),interraterreliabil- correlations among adjacent observed indicators, would be necessary. If ity((cid:1)(cid:1).73–1.00),andinternalconsistency((cid:2)(cid:1).68–.84)anddiscrimi- sucheffectsweresignificant,theymightbesaidtorepresenttheeffectsof natesbetweendepressedandnondepressedindividuals(Lewinsohnetal., symptomatology at one point in time on the next, independent of the 1993).TheK-SADSdepressiondiagnoseshaveshownexcellentinterrater developmentaleffectsrepresentedbythelatentgrowthfactors. agreement((cid:1)(cid:1)1.00)and1-weektest–retestreliability((cid:1)(cid:1)1.00)inthe We assessed model fit with multiple criteria as outlined by Hu and presentstudy(Sticeetal.,2004). Bentler(1999):thecomparativefitindex(CFI(cid:3).95),theTucker-Lewis Eating pathology. The Eating Disorder Examination (EDE; Fairburn index (TLI (cid:3) .95), and the root-mean-square error of approximation & Cooper, 1993), a structured psychiatric interview, was used to assess (RMSEA(cid:4).06)andits90%confidenceinterval(CI).Althoughreported, diagnostic criteria for DSM–IV bulimia nervosa, anorexia nervosa, and nonsignificantchi-squarevalueswouldbeunlikelygiventhesamplesize bingeeatingdisorder.Diagnosticitemswereaveragedtoformanoverall and are thus of little value in evaluating model fit (T. E. Duncan et al., eatingsymptomcompositeateachtimepoint((cid:2)(cid:1).96atT2),rangingfrom 1999).Tocomparethefitofcompetinghigherordermodels,weexamined 0(never)to2(always).TheEDEgenerallyhasgoodinternalconsistency improvementsinthechi-squarecoefficientsbyusinganestedchi-square ((cid:2)(cid:1) .76–.90) and interrater reliability ((cid:1)(cid:1) .70–.99) and discriminates test(Stoolmiller,1998),Akaike’s(1987)informationcriterion,andBoz- betweenindividualswitheatingdisordersandcontrols(Fairburn&Coo- dogan’s (1987) consistent version of this statistic, all of which are per,1993;Williamson,Anderson,Jackman,&Jackson,1995).TheEDE parsimony-based indices intended for model comparison, not fit eatingdisorderdiagnoseshaveshownexcellentinterrateragreement((cid:1)(cid:1) evaluation. 528 MEASELLE,STICE,ANDHOGANSEN To test the form of growth in each symptom domain, we initially Table1 hypothesizedthattherewouldbesignificantlinearchangefromage13to DescriptiveStatisticsandIntercorrelationsforFemale 18.Toidentifythelineargrowthmodel,theslopeloadingswerefixedat0 Adolescents’Depressive,EatingDisorder,AntisocialBehavior, (age13),1(age14),2(age15),3(age16),4(age17),and5(age18)to andSubstanceAbuseSymptoms reflectaconstantrateofchangebetweeneachage.However,individuals may not change in a linear fashion alone, and change (accelerations or Symptomandage M SD Mean decelerations) in each symptom domain may occur at different rates at differentpointsofdevelopment(Anderson,1993).Thus,totesttheade- Depression quacyofthelinearhypothesis,wealsotestedunspecifiedmodelswithin Age13 1.30 0.30 eachsymptomdomain(Anderson,1993;S.C.Duncan&Duncan,1996; Age14 1.35 0.35 McArdle & Anderson, 1990). These unspecified models allowed us to Age15 1.39 0.40 Age16 1.40 0.41 evaluatenonlinearitiesbyfreelyestimatingportionsofeachdevelopmental Age17 1.41 0.42 trajectory(seeMcArdle&Hamagami,1991). Age18 1.41 0.44 Oncewecouldreasonablycharacterizetheshapeofeachdevelopmental Stability .49 trajectory—beitlinearornonlinear—weexaminedtheassociationsamong Intercorrelation .33 symptom domains. To do so, we tested an associative LGM in which Eatingdisorder multivariaterelationshipsbetweensymptomgrowthparameterswereeval- Age13 0.41 0.37 uated. A reparameterization of this model enabled us to test prospective Age14 0.55 0.41 associations among symptom domains. To achieve the latter, the slope Age15 0.59 0.37 factorforeachsymptomdomainwasregressedonitsownandthethree Age16 0.61 0.36 Age17 0.63 0.32 otherinterceptfactors. Age18 0.64 0.41 Finally, we estimated competing higher order LGMs to examine the Stability .51 degreetowhichtherelationsamongtheprimary,first-ordergrowthfactors Intercorrelation .29 couldbedescribedbyoneormorehigherorderlatentgrowthconstructs. Antisocialbehavior Thehigherordermodelfollowsastructurethatissimilartothefirst-order Age13 1.62 0.54 associativeLGM;however,thecovariancesamongthefirst-orderfactors Age14 1.64 0.54 arethoughttobeexplainedbythehigherorderfactors(S.C.Duncan& Age15 1.63 0.56 Duncan,1996).Itisimportanttonotethatevenifthehigherordermodel Age16 1.61 0.53 isabletoaccountforallofthecovariationamongthefirst-orderfactors,the Age17 1.56 0.48 Age18 1.50 0.44 goodness-of-fit indices cannot improve over those of the corresponding Stability .58 first-ordermodel.Nonetheless,ifthefitindicesforthesecond-ordermodel Intercorrelation .34 approachthoseofthecorrespondingfirst-ordermodel,thenthehierarchical Substanceabuse model can be considered appropriate (S. C. Duncan & Duncan, 1996; Age13 0.07 0.22 Marsh,1985). Age14 0.07 0.25 OurfirsthigherorderLGMreflectedthehypothesisthatasinglepairof Age15 0.13 0.28 growthfactors(interceptandslopeestimates)wouldbestaccountforthe Age16 0.14 0.30 developmental associations among all four symptom domains. A second Age17 0.12 0.29 competingmodelreflectedouraprioriexpectationthatseparatepairsof Age18 0.12 0.28 Stability .50 growthparameterswouldbeneededtomodelthevarianceinandcovaria- Intercorrelation .28 tion among the first-order growth factors of each symptom domain. In particular,weexpectedthatseparateinternalizingandexternalizingdevel- Note. Correlations greater than .15 are significant at p (cid:4) .01. Stability opmental growth factors would best account for the codevelopment of mean(cid:1)average(Fisherr-to-ztortransformation)ofcorrelationsbetween depressionandeatingpathologyontheonehandandantisocialbehavior symptomscoresthatareadjacentinyears.Intercorrelationmean(cid:1)average andsubstanceabuseontheotherhand. (Fisherr-to-ztortransformation)intercorrelationbetweendomains. Results Preliminary Analyses Girls’reportswithineachsymptomdomaindemonstratedmoder- ate but significant levels of 1-year stability. The coefficients in The means and standard deviations for each symptom domain Table1alsoshowthatthereweresignificantlevelsofassociation arepresentedinTable1foralloftheagescoveredintheage-based analysis. Girls’ depression, eating disorder symptoms, and sub- stanceabusescoresincreasedonaverage,whereasgirls’antisocial 2Wealsoexaminedtheextenttowhichmean-levelchangesmaskedclin- behavior decreased on average. Although the observed mean icallymeaningfulchange.Fortheseanalysesweuseddichotomousscoresthat changesfromage13to18forgirls’depressive(Cohen’sd(cid:1).29), classifiedgirlsaseitherbeloworabovesubthresholdorthresholdlevelsof eatingdisorder(Cohen’sd(cid:1).59),antisocial(Cohen’sd(cid:1)(cid:5).24), symptomatology.Ofthe435girlswhowerenotclinicallydepressedatT2, andsubstanceabuse(Cohen’sd(cid:1).24)symptomsrepresentsmall 14%showedonsetofsubthresholdorthresholdmajordepressionbyT5.Ofthe 480girlswithoutself-reportedeatingproblemsatT2,9%showedonsetof to medium effect sizes (Cohen, 1988), information about sample subthresholdorthresholdeatingpathologybyT5.Ofthe466nonantisocial averages is likely to mask evidence of meaningful individual girlsatT2,11%showedonsetofdiagnosticallyrelevantantisocialbehaviorby variability in terms of initial levels (intercept) and symptom tra- T5. Alternatively, despite the downward mean trajectory, 36% of the girls jectories.Thestatisticalsignificanceofthisvariabilityisaddressed reporting clinical elevations in antisocial problems at T2 were still above belowintheunivariateLGManalyses.2 thresholdbyT5.Ofthe461nonsubstance-abusinggirlsatT2,8%showed Table1alsopresentsmeanstabilitydataaswellasanestimate onset of substance use by T5. These data highlight the changing nature of oftheaveragelevelofintercorrelationamongsymptomdomains. manygirls’clinicalstatus,withameaningfulnumberofgirlsworseningovertime. FEMALECOMORBIDITYTRAJECTORIES 529 between domains, with higher levels in one domain associated antisocial model represented a significantly better fit over the withhigherlevelsineachoftheothersymptomdomains. linearmodel(11.60–2.23(cid:1)9.37,df(cid:1)4,p(cid:4).05). The linear model for girls’ substance abuse symptoms fit the datareasonablywell,(cid:3)2(13,N(cid:1)487)(cid:1)15.78,p(cid:1).05;CFI(cid:1) Univariate Symptom Trajectories .99;TLI(cid:1).98;RMSEA(cid:1).04(90%CI(cid:1).01,.07).Theunspec- ifiedmodelofgirls’substanceabusesymptomatologyalsofitthe Our first goal was to characterize the developmental trajectory datawell,(cid:3)2(9,N(cid:1)487)(cid:1)5.24,p(cid:1).26;CFI(cid:1).99;TLI(cid:1).99; ofeachsymptomdomain.Withineachdomain,wetestedalinear RMSEA(cid:1).02(90%CI(cid:1).00,.07)andrepresentedasignificantly growth model first followed by a nonlinear growth model. To betterfitovertheinitiallinearmodel(15.78–5.24(cid:1)10.54,df(cid:1) identify our linear model, each slope factor was scaled to reflect 4,p(cid:4).05). constantchangebetweeneachage(0,1,2,3,4,5).Totestforthe Insum,theseresultsindicatethatitisreasonabletocharacterize possibility of nonlinear change, we relaxed the constraints on girls’reportsoftheirdepressiveandeatingdisordersymptomatol- linear growth by freeing all but the first and last loadings on the ogy as growing in a linear fashion across the 5-year period from slopefactor.Foridentificationpurposes,atleasttwoloadingsmust age13to18.Incontrast,itismoreappropriatetocharacterizethe befixedwhentestingnonlineargrowth(S.C.Duncan&Duncan, development of girls’ antisocial and substance abuse symptom- 1996; McArdle & Anderson, 1990; Meredith & Tisak, 1990; atologyasnonlinear,withantisocialbehaviordecreasingovertime Stoolmiller,1998).Whenthereareenoughpointsintimetofreely andsubstanceabusesymptomsincreasingovertime.Foreachof estimatefactorloadingsbeyondthetworequiredforidentification ourbestfittingmodels,wepresentinterceptandslopemeansand purposes,theslopefactornowrepresentsindividualdifferencesin variances, residual variances, and factor intercorrelations in bothgeneraltrend(upanddown)andnonlinearshapeand,thus,is Table2. better labeled as a slope/shape factor (S. C. Duncan & Duncan, The intercept means were significantly different from zero in 1996;Stoolmiller,1998).Additionally,becausethelinearmodelis each symptom domain. In absolute terms, however, the intercept a nested case of the less restrictive unspecified model, a nested means were indicative of mild levels of symptomatology for the chi-square difference test can be used to compare the relative sampleatage13.Additionally,thevariancearoundeachmeanwas adequacyofeachmodel’scapacitytoaccountforgirls’symptom also significant, indicating that there was substantial variation in development(T.E.Duncan,Duncan,&Stoolmiller,1994). girls’ initial status in each domain. Girls’ depressive, eating dis- The results of our preliminary error testing procedures indi- order,andsubstanceabusesymptomsincreasedsignificantlyover cated that allowing the residual variances in each symptom time, as evidenced by the positive slope means, whereas girls’ domaintovaryfromagetoagewouldyieldsignificantlybetter antisocialbehaviordecreasedsignificantlyovertime.Thevariance fitting models than models in which the residual variance was around each of the slope means was also significant, indicating constrainedtobeinvariantacrossages.Additionally,therewas considerablevariabilityingirls’symptomtrajectoriesovertime. only inconsistent evidence of the need to allow for covarying Correlationsbetweensymptominterceptandslopefactorswere error terms. As such, in the LGM results that follow, models significant and negative. With increasing means, as was the case comprised both heteroscedastic error variance and unrelated withgirls’depressive,eatingdisorder,andsubstanceabusesymp- error terms. toms, the negative correlation between intercept and slope indi- The overall fit indices for depression suggested that the linear modelfitthedatareasonablywell,(cid:3)2(13,N(cid:1)487)(cid:1)32.20,p(cid:1) cated that girls reporting higher initial levels were more likely to .001;CFI(cid:1).97;TLI(cid:1).97;RMSEA(cid:1).04(90%CI(cid:1).03,.07). showslowerratesofgrowthovertimethanthosewithlowerinitial Incontrast,theunspecifiedmodeldidnotfitthedataaswell,(cid:3)2(9, levels.Withdecreasingmeans,aswasthecasewithgirls’antiso- N(cid:1)487)(cid:1)24.82,p(cid:1).00;CFI(cid:1).94;TLI(cid:1).93;RMSEA(cid:1).06 cial symptom trajectory, a negative correlation between intercept (90% CI (cid:1) .03, .10). By freeing three slope parameters, the and slope indicated that girls reporting higher initial levels were chi-square statistic was reduced by just 7.38 (df (cid:1) 4, p (cid:3) .05), more likely to decrease at faster rates than girls reporting lower initiallevels.3 indicating that the unspecified model did not offer a statistically Finally,foreachofourbestfittingunivariatemodels,weplotted betterfitthanthelinearmodel. theestimatedslopefactorloadings.Therelativesizeofeachfactor The linear model for adolescents’ eating disorder symptoms providedagoodfitforthedata,(cid:3)2(13,N(cid:1)487)(cid:1)22.84,p(cid:1).03; CFI(cid:1).98;TLI(cid:1).98;RMSEA(cid:1).04(90%CI(cid:1).01,.07).The 3Severalfactorsmightexplainthenegativeintercept–slopecorrelations unspecifiedmodelofgirls’eatingsymptomatologyalsoprovided observed here. First, the correlation between the intercept and slope de- atenablefit,(cid:3)2(9,N(cid:1)487)(cid:1)17.28,p(cid:1).001;CFI(cid:1).99;TLI(cid:1) pends on the time at which initial status is estimated. In growth curve .98;RMSEA(cid:1).05(90%CI(cid:1).01,.07).However,thechi-square analyses,adifferentcorrelationbetweeninitialstatusandchangecanbe difference test was not significant (22.84–17.28 (cid:1) 5.56, df (cid:1) 4, obtained depending on the time of initial status (cf. S. C. Duncan & p (cid:3) .05), indicating that the unspecified model did not offer a Duncan, 1996; Rogosa, 1988). Second, regression to the mean could superiorfit. produce these negative correlations, in which extremely high (and low) interceptvaluesthatarepartiallyafunctionofmeasurementerrorarelikely Thelinearmodelforgirls’antisocialbehaviorprovidedagood fit for the data, (cid:3)2(13, N (cid:1) 485) (cid:1) 11.60, p (cid:1) .17; CFI (cid:1) .99; tobeclosertothesamplemeanatrepeatassessment(seeMarsh,Craven, Hinkley, & Debus, 2003, for a similar suggestion). Third, the negative TLI (cid:1) .99; RMSEA (cid:1) .02 (90% CI (cid:1) .00, .06). However, the intercept–slope correlations may be a product of actual developmental unspecified model of girls’ antisocial behavior appeared to im- deceleration.Girlsatthehigherlevelsmayhaveinitiatedtheirsymptom- provethefit,(cid:3)2(9,N(cid:1)485)(cid:1)2.23,p(cid:1).52;CFI(cid:1)1.00;TLI(cid:1) atic behavior at earlier ages and were either remitting or escalating at 1.00;RMSEA(cid:1).00(90%CI(cid:1).00,.06).Indeed,theunspecified slowerrates. 530 MEASELLE,STICE,ANDHOGANSEN Table2 ParameterEstimates,StandardErrors,andCriticalRatiosforUnivariateGrowthModels Linearmodelresults Nonlinearmodelresults Depression Eatingdisorder Antisocialbehavior Substanceabuse Critical Critical Critical Critical Parameter Est. SE ratio Est. SE ratio Est. SE ratio Est. SE ratio Factormean INTatage13 1.32 .02 67.91 0.50 .02 20.94 1.73 .03 51.21 0.12 .01 9.01 Slope 0.03 .01 4.93 0.04 .01 5.32 (cid:5)0.04 .01 (cid:5)5.15 0.01 .00 2.49 Factorvariance INTatage13 0.10 .01 7.72 0.17 .02 8.99 0.34 .05 7.55 0.04 .01 2.05 Slope 0.01 .00 5.97 0.01 .00 5.44 0.01 .00 3.05 0.02 .00 2.05 Factorcorrelation:INTwithslope (cid:5)0.41 .09 (cid:5)4.29 (cid:5)0.61 .15 (cid:5)3.86 (cid:5)0.55 .13 (cid:5)4.19 (cid:5)0.38 .09 (cid:5)3.85 Residualvariance Age13 0.01 .01 1.27 0.06 .01 5.25 0.09 .04 2.31 0.03 .01 3.31 Age14 0.05 .01 8.42 0.06 .01 7.33 0.09 .03 3.95 0.04 .01 7.25 Age15 0.07 .01 11.71 0.07 .01 11.26 0.15 .02 9.48 0.05 .00 10.82 Age16 0.06 .01 10.38 0.05 .01 11.01 0.17 .01 11.47 0.05 .01 9.77 Age17 0.06 .01 7.68 0.05 .01 7.74 0.08 .02 4.00 0.03 .01 4.86 Age18 0.09 .02 4.65 0.08 .02 5.13 0.04 .03 1.31 0.01 .02 1.57 Note. Critical ratios of 1.96 indicate estimates are significant at p (cid:4) .05. Est. (cid:1) unstandardized model estimate, including factor mean, variance, and correlation; SE (cid:1) standard error of each estimated parameter; Critical ratio (cid:1) estimate divided by the standard error; z statistic was used to establish statisticalsignificanceofparameter;INT(cid:1)intercept. loading reflects the pattern of developmental change across the opmental factors from the different symptom domains. These 5-year span. The graphs for depression, eating pathology, antiso- correlationsarepresentedinTable3. cial behavior, and substance abuse are presented in Figure 1. All four intercepts were significantly associated with one an- Because the factor loadings for the slope for antisocial behavior other;girlswithhigherinitiallevelsinonedomaintendedtohave were inverted because of our positive scaling of the slope factor, higher initial levels in the other domains. All four slope factors we reestimated the model by using a negatively scaled slope for were also significantly and positively correlated, indicating, with antisocial behavior. These graphs suggest that girls’ depression one exception, that girls showing growth in one domain tended and eating disorder symptoms grew at fairly constant rates be- alsotoshowgrowthinotherdomains.Theexceptionwastheslope tweenage13andage18.Thegraphforgirls’antisocialbehavior correlationsinvolvinggirls’antisocialtrajectories;here,apositive suggests that the trajectory was relatively flat across the first 3 correlation signified that greater increases in depression, eating years but then declined more rapidly after age 15. The graph for disorder, and substance abuse symptoms corresponded with less substance abuse symptoms indicates fairly rapid escalations in rapiddecreasesinantisocialbehavioronaverage. self-reportedsubstanceabusebetweenage13andage16,followed Nextwereparameterizedtheassociativemodeltotestwhether by less rapid growth and even decelerations in the level of sub- initiallevelsineachsymptomdomainpredictedfuturegrowthin stanceabusearoundage18. other symptom domains. To test the unique predictive effects of eachsymptomdomainatbaseline,weregressedeachslopefactor Temporal Relations Between Symptom Domains onallfourintercepts.Asexpected,giventhesignificantintercept– Toexaminethedevelopmentalrelationsamongthefoursymp- slopecorrelationswithinsymptomdomains,initialsymptomlev- tomdomains,wetestedanassociativeLGMinwhichthegrowth elswerepredictiveofsignificantchange((cid:4)(cid:1)(cid:5).57to(cid:5).33,ps(cid:4) factorsforallfoursymptomdomainswereintercorrelated.Addi- .001) in the same domain. Consistent with the associations be- tionally, when specifying the antisocial behavior and substance tween intercepts and slopes within a given symptom domain, abuse symptom portions of the associative model, we used the higher baseline levels predicted less rapid symptom change over actual slope/shape scaling values generated by the unspecified time.Thedirectionofeffectwasmarkedlydifferentwhenpredict- univariate models as start values for their respective slope/shape ing across domains while controlling for the effects of all other factors.4 The associative model fit the data well, (cid:3)2(200, N (cid:1) 483)(cid:1)639.59,p(cid:4).001;CFI(cid:1).95;TLI(cid:1).96;RMSEA(cid:1).05 (90%CI(cid:1).03,.08).Parameterestimatesfortheassociativemodel 4We used the actual slope estimates from the unspecified univariate modelsasstartvaluesinourassociativemodelbecausewefeltthathaving are presented in Table 3. Although the results of the associative thesamedegreesoffreedomforeachsymptomtrajectorywouldallowfor model are not exactly identical to the univariate LGM results in a more interpretable test of the temporal associations among symptom terms of factor loadings, factor means and variances, and factor domains.Thiswasnotarequirement,however,sowealsocomputedthe correlations,theytendtobeverysimilar(S.C.Duncan&Duncan, associative model (and second-order models below) using the same un- 1996). Because this was the case with our data as well, in this specifiedstructuremodeledintheunivariatesection.Theresultsfromboth sectionwefocusprimarilyonthecorrelationsbetweenthedevel- approacheswereessentiallyidenticalintermsofabsoluteandrelativefit. FEMALECOMORBIDITYTRAJECTORIES 531 symptom domains. Initial depression level predicted increases in eating pathology ((cid:4)(cid:1) .37, p (cid:4) .05) and substance abuse symp- toms ((cid:4) (cid:1) .40, p (cid:4) .01) and slower decreases in antisocial behavior ((cid:4)(cid:1) .51, p (cid:4) .01). Initial eating pathology level pre- dictedincreasesinsubstanceabusesymptoms((cid:4)(cid:1).36,p(cid:4).05). Initiallevelsofantisocialsymptomspredictedincreasesindepres- sive ((cid:4)(cid:1) .39, p (cid:4) .05) and substance abuse ((cid:4)(cid:1) .56, p (cid:4) .01) symptoms. Finally, initial substance abuse level predicted slower decelerations in antisocial behavior ((cid:4)(cid:1) .45, p (cid:4) .01). Thus, Table3 ParameterEstimates,StandardErrors,andCriticalRatiosfor theAssociativeGrowthModel Critical Parameter Est. SE ratio Factormean Depressionintercept 1.32 .02 69.80 Eatingdisorderintercept 0.51 .03 17.60 Antisocialbehaviorintercept 1.71 .04 42.82 Substanceabuseintercept 0.11 .02 5.87 Depressionslope 0.03 .01 4.67 Eatingdisorderslope 0.04 .01 5.28 Antisocialbehaviorslope (cid:5)0.03 .01 (cid:5)3.36 Substanceabuseslope 0.01 .01 2.34 Factorvariance Depressionintercept 0.10 .01 7.81 Eatingdisorderintercept 0.17 .02 9.11 Antisocialbehaviorintercept 0.37 .04 9.29 Substanceabuseintercept 0.08 .01 8.51 Depressionslope 0.01 .00 6.53 Eatingdisorderslope 0.01 .01 5.40 Antisocialbehaviorslope 0.01 .00 4.56 Substanceabuseslope 0.02 .00 3.04 Intercept/slopecorrelationwithinsymptom domain Depression (cid:5).42 .08 (cid:5)5.22 Eatingdisorder (cid:5).61 .15 (cid:5)4.07 Antisocialbehavior (cid:5).54 .12 (cid:5)4.23 Substanceabuse (cid:5).39 .09 (cid:5)4.37 Interceptcorrelationbetweendomains DepressionWITH Eatingdisorder .67 .06 10.61 Antisocialbehavior .59 .06 8.52 Substanceabuse .47 .07 6.75 EatingdisorderWITH Antisocialbehavior .49 .05 9.18 Substanceabuse .28 .06 4.54 AntisocialbehaviorWITH Substanceabuse .67 .07 9.09 Slopecorrelationbetweendomains DepressionWITH Eatingdisorder .52 .07 7.41 Antisocialbehavior .41 .10 4.83 Substanceabuse .39 .09 4.39 EatingdisorderWITH Antisocialbehavior .37 .08 5.02 Substanceabuse .38 .08 4.75 AntisocialbehaviorWITH Substanceabuse .47 .11 4.32 Figure 1. Estimated slope factor loadings from the univariate latent growth models for depression, eating disorder, antisocial, and substance Note.Criticalratiosof1.96indicateestimatesaresignificantatp(cid:4).05. abusesymptoms. Est. (cid:1) unstandardized model estimate, including factor mean, variance, andcorrelation;SE(cid:1)standarderrorofeachestimatedparameter;Critical ratio (cid:1) estimate divided by the standard error; z statistic was used to establish statistical significance of parameter; WITH (cid:1) correlation be- tweenfactors(e.g.,depressioninterceptandeatingdisorderslope). 532 MEASELLE,STICE,ANDHOGANSEN several of the symptom domains acted as unique risk factors for Table4 growth in other domains, and patterns of unidirectional and bidi- ParameterEstimates,StandardErrors,andCriticalRatiosfor rectionalprospectiveeffectsemerged. theTwo-FactorHigherOrderFactor-of-CurvesModel Critical Hierarchical Structure of Co-Occurring Trajectories Parameter Est. SE ratio Ourfinalgoalwastoinvestigatethehierarchicalfactorstructure Factorloading of the associative model. Initially we fit a single pair of higher InternalizingINT order growth parameters to the associative model by using the Depression 1.00 — — Eatingdisorder 0.68 0.07 9.71 “factor-of-curve” modeling procedure (McArdle, 1988). In the Internalizingslope factor-of-curvemodel,oneexamineswhetherahigherorderfactor Depression 1.00 — — adequatelydescribesrelationshipsamonglowerordergrowthfac- Eatingdisorder 0.67 0.09 7.44 tors (T. E. Duncan et al., 1999; McArdle, 1988). As such, the ExternalizingINT factor-of-curve model is a second-order extension of the associa- Antisocialbehavior 1.00 — — Substanceabuse 1.60 0.15 10.67 tivemodel,inwhichthesecond-orderinterceptandslopefactors Externalizingslope are estimated from the first-order univariate latent factors. Thus, Antisocialbehavior 1.00 — — eachfirst-orderportionoftheassociativemodeldescribesindivid- Substanceabuse 1.36 0.22 6.21 ual differences within each univariate symptom domain, and the Factormean InternalizingINT 1.32 0.02 65.62 second-order common factor model describes the individual dif- Internalizingslope 0.03 0.01 3.22 ferences among the first-order LGMs. To specify the factor-of- ExternalizingINT 1.72 0.04 43.75 curve model, the covariances among first-order latent growth Externalizingslope (cid:5)0.03 0.01 (cid:5)3.41 curves’variancesarefixedtoavalueofzero,andfactorloadings Factorvariance between the first- and second-order factors are restricted to be InternalizingINT 0.13 0.02 6.71 Internalizingslope 0.01 0.00 5.13 equalovertimeforeachsymptomdomain;thisimposesaform ExternalizingINT 0.43 0.06 6.91 of factorial invariance that ensures similar scaling among mul- Externalizingslope 0.02 0.00 4.80 tiplesecond-orderfactorscores(T.E.Duncanetal.,1999;also Factorintracorrelation see McArdle, 1988, for a more formal discussion of the math- Internalizing (cid:5).67 .06 (cid:5)10.87 Externalizing (cid:5).59 .11 (cid:5)5.36 ematical representation of this model). We used girls’ depres- Factorintercorrelation sion as the reference scaling for the single higher order factor INTwithINT .57 .05 9.40 model. Slopewithslope .41 .09 6.11 Thesinglehigherordermodelfitthedatapoorly,(cid:3)2(221,N(cid:1) Factorintercept 485)(cid:1)906.25,p(cid:4).001;CFI(cid:1).88;TLI(cid:1).89;RMSEA(cid:1).11 DepressionINT 0.00 — — (90%CI(cid:1).08,.13).Assuch,thedatadidnotsupporttheideathat DEaetpinregssdiiosnorsdleorpeINT (cid:5)00..0403 0—.10 (cid:5)—4.53 girls’ trajectories in each of the four symptom domains could be Eatingdisorderslope 0.03 0.01 3.17 explainedbyacommonsetofgrowthfactorsacrosstheseyearsof AntisocialbehaviorINT 0.00 — — adolescence. Antisocialbehaviorslope 0.00 — — SubstanceabuseINT (cid:5)2.18 0.26 (cid:5)8.38 We then tested our a priori two-factor higher order model in Substanceabuseslope 0.34 0.03 11.91 which we estimated separate intercept and slope factors on the Residualvariance basisofwhatdepressionandeatingpathologyhadincommonand DepressionINT (cid:5)0.01 0.01 (cid:5)1.49 whatantisocialbehaviorandsubstanceabusehadincommon.We Depressionslope 0.00 0.00 4.17 used girls’ depression and antisocial behavior as the reference EatingdisorderINT 0.04 0.01 6.60 Eatingdisorderslope 0.00 0.00 0.03 scaling for what we labeled the internalizing and externalizing AntisocialbehaviorINT 0.01 0.02 1.14 second-order factors, respectively. The two-factor model fit the Antisocialbehaviorslope (cid:5)0.00 0.00 (cid:5)1.47 data reasonably well, (cid:3)2(214, N (cid:1) 485) (cid:1) 682.29, p (cid:4) .001; SubstanceabuseINT 0.56 0.08 6.83 CFI(cid:1).93;TLI(cid:1).93;RMSEA(cid:1).06(90%CI(cid:1).04,.07). Substanceabuseslope 0.04 0.01 5.59 Factorloadings,interceptandslopemeansandvariances,factor Note. Criticalratiosof1.96indicateestimatesaresignificantatp(cid:4).05. correlations,factorintercepts,andresidualvariancesarepresented Internalizing factor comprises depression and eating disorder symptoms. inTable4.Parameterestimatesforthetwo-factormodelindicated Externalizing factor comprises antisocial behavior and substance abuse that both intercept factors were significantly different from zero, symptoms.Dashesindicatedataarenonapplicablebecauseestimateswere thatthemeansofbothslopefactorswerealsosignificant,andthat fixed to scale the higher order factors. Est. (cid:1) unstandardized model estimate,includingfactormean,variance,andcorrelation;SE(cid:1)standard theamountofindividualvariationaroundbothinterceptandboth errorofeachestimatedparameter;Criticalratio(cid:1)estimatedividedbythe slope factors was significant. In addition, all common factor-of- standard error; z statistic was used to establish statistical significance of curve loadings were significant. The higher order internalizing parameter;INT(cid:1)intercept. interceptfactoraccountedforapproximately75%and63%ofthe variation in the first-order intercepts for depression and eating factorsfordepressionandeatingdisordersymptoms,respectively, disorder symptoms, respectively, whereas the externalizing inter- and65%and59%ofthevariationinthefirst-orderslopefactors ceptfactoraccountedfor79%and95%ofthefirst-orderintercepts forantisocialproblemsandsubstanceabusewereaccountedforby forantisocialbehaviorandsubstanceabuse,respectively.Approx- the internalizing and externalizing higher order slope factors, imately 73% and 93% of the variation in the first-order slope respectively. FEMALECOMORBIDITYTRAJECTORIES 533 Finally, the internalizing and externalizing intercept factors Discussion werepositivelyandsignificantlycorrelated(r(cid:1).57,p(cid:4).05),as Single-Syndrome Trajectories were the two slope factors (r (cid:1) .41, p (cid:4) .01). Thus, girls with higherinitialinternalizingsymptomscoreshadelevatedexternal- The first aim of this study was to generate descriptive data on izingsymptomscoresaswell.Inlightofthenegativeexternalizing depressive,eatingdisorder,antisocial,andsubstanceabusesymp- slope, growth in internalizing was significantly associated with tomtrajectoriesinacommunitysampleoffemaleadolescents.Our slowerdeclinesinexternalizingproblems. results suggest that between the ages of 13 and 18, girls’ self- On the whole, it might appear odd that the same set of higher reported symptoms of depression and eating disorder symptom ordergrowthfactorscouldaccountforthefirst-ordervariationin trajectoriesshowedevidenceoflineargrowthaswellassignificant girls’ antisocial and substance abuse symptoms given that the levels of variability around the aggregate trends. The rate of respectiveaggregatetrendswerechanginginoppositedirections. growthingirls’depressivesymptomswassignificantalbeitmod- est,increasingonaverageaboutaquarterofastandarddeviation However, it should be remembered that there was significant between age 13 and age 18. These results dovetail with other variationintheslopesforsubstanceabuseandantisocialbehavior, studies that have reported sample-level increases in depressive with some girls likely showing increases and some showing de- symptomsinfemaleadolescents(Coleetal.,2002;Hankinetal., creases in both symptom domains. In an attempt to interpret this 1998). finding,weusedtheestimatedfactorloadingsateachagetoplot Girls’eatingdisordersymptomtrajectoriesalsoshowedsignif- eachgirl’santisocialbehaviorandsubstanceabusetrajectories;we icant sample-level growth as well as significant individual vari- thenexaminedthefrequencywithwhichgirls’symptomdevelop- abilityintherateofgrowth.Likethegrowthindepressivesymp- mentinthesetwodomainsmovedinsimilarordifferentdirections. toms,thegrowthingirls’eatingdisordersymptomstendedtobe We found that 31% of the sample had downward antisocial be- fairly constant over time. However, in contrast to the depressive havior trajectories and upward substance abuse trajectories (no symptom trajectory, the rate of growth in girls’ eating disorder caseoftheoppositewasfound),44%ofthesamplehadsynchro- symptomatologywasmorepronounced,increasingmorethanhalf nous antisocial behavior and substance abuse trajectories (e.g., astandarddeviationbetweenages13and18.Toourknowledge, both increased or decreased), and 25% had one stable trajectory this study and prior investigations of this sample (Stice et al., and a second trajectory that moved either upward or downward. 2004) may be the first to report normative increases in eating Thus,bymovingfromanomotheticfocusongroup-leveltrendsto disordersymptomsforfemaleadolescents. an ideographic focus on individuals’ patterns of codevelopment, Girls’ substance abuse trajectory also increased significantly wecanseethattherewasreasonablesynchronyinhowindividual albeitmodestlyduringthisperiod(e.g.,approximatelyaquarterof girls’antisocialbehaviorandsubstanceabusesymptomschanged astandarddeviationbetweenages13and18).Again,theamount fromage13to18,despitecontradictorysample-levelestimates.It of variability around the sample-level growth trajectory was sig- isoursensethatthisdevelopmentalsynchronywascapturedbythe nificant, indicating considerable individual differences in sub- second-order slope factor for girls’ antisocial behavior and sub- stanceabuseprogression.Incontrasttogirls’depressiveandeating stanceabusesymptoms. disordersymptomtrajectories,growthinthisdomaintendedtobe To evaluate further the acceptability of this internalizing– somewhat uneven or nonlinear. Specifically, the shape of the externalizing higher order LGM, we tested a series of alternate substanceabusetrajectorysuggestedthatgirlsreportedmorerapid higherorderLGMs.Forexample,depression,eatingdisorders,and increasesinsubstanceabuseproblemsbetweentheagesof13and substance abuse were grouped to reflect the idea that girls with 16 but then appeared to begin to decelerate between 16 and 18 mood problems might rely on two different types of mood regu- years.Thispatternofincreaseingirls’substanceabusesymptoms lation strategies. In this particular model, only the first-order is consistent with other investigations and is likely linked to less growth factors were needed for antisocial behavior. None of our restrictivelivingsituationsaswellassomeoftherisksassociated alternate higher order models provided an acceptable accounting with greater tolerance of substance use (Chassin & Ritter, 2001; ofthedata.5 Chen & Kandel, 1995; Hankin et al., 1998; Kandel, Huang, & We also tested a second multivariate approach proposed by Davies,2001;O’Malleyetal.,2000).Wearelesscertainaboutthe McArdle(1988),the“curve-of-factor”model(seealsoT.E.Dun- factorsthatmightaccountforgirls’apparentslowingofsubstance can et al., 1999). In contrast to the factor-of-curve model tested abusebehaviorbetweenages16and18.Perhaps,thisdeclinecan above, the curve-of-factor model fits a growth curve to factor be linked to girls’ preparation for their transition to adult roles scoresrepresentingwhatdifferentsymptomdomainshaveincom- (e.g.,college,marriage,employment),whichhavebeenshownto mon at each time point. The observed variables for all symptom reduce substance abuse symptoms in young adults (Collins & domains at each age are factor analyzed to produce factor scores Shirley,2001). (e.g.,afactorscorethatcompriseswhatiscommontodepression, eating disorder, antisocial, and substance abuse symptoms at age 13),whicharethenusedformodelinghigherordergrowthcurves 5Additionally,wewereconcernedthatoursecond-orderresultsmight be due to method artifact, namely that the internalizing factor simply (T.E.Duncanetal.,1999;Hancocketal.,2001;McArdle,1988). represented interview data whereas the externalizing factor represented The curve-of-factor alternative to our internalizing and external- questionnaire data. Fortunately, we replicated our second-order results izing factor-of-curve model provided a poor accounting of the whenwereplacedtheK-SADdepressionsymptomcompositewithitems data,(cid:3)2(202,N(cid:1)485)(cid:1)956.58,p(cid:4).001;CFI(cid:1).84;TLI(cid:1).85; fromBussandPlomin’s(1984)EmotionalityScale,whichgirlscompleted RMSEA (cid:1) .12 (90% CI (cid:1) .11, .13); consequently, we did not inquestionnaireformatallassessmentstoreportontheirnegativeaffect exploreothercurve-of-factoralternatives. andmoodtraits.

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Bower, & Rigali, 1996) and depressive symptoms (Lewinsohn et al.,. 2000; Stice 1998). Rohde, Lewinsohn, and Seeley (1996), however, found that.
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