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landings), penetrating, blast-related, and other. Participants were   SOF and CF participants with similar backgrounds and TBI
          classified as having mild, moderate, or severe TBI 22,23  based on   characteristics. SOF and CF are different in terms of intelli-
          the highest rating from available severity metrics and consistent   gence, physical fitness, and resilience prior to their service. 15,16
                                              24
          with the VA/DoD classification of TBI severity.  These include   Therefore, we selected variables on which to match SOF and
                             25
          the Glasgow Coma Scale,  the time to follow commands, dura-  CF that would show differences prior to their service, in-
          tion of posttraumatic amnesia, and neuroimaging. Participants   cluding demographic variables. We chose not to control for
          without a  severity metric  and who were not  hospitalized  or   service-related variables (i.e., variables that could affect the de-
          treated in an urgent/emergency care setting at the time of index   velopment of PTSD after selection for SOF). The rationale for
          TBI were classified as having mild TBI. 6          this choice was to examine whether career experiences (e.g.,
                                                             number of deployments, years in service, number of TBIs, ser-
          A comprehensive evaluation of lifetime exposures was conducted   vice branch) were related to rates of PTSD.
          to account for lifetime history of TBIs sustained within and be-
          yond military service. In addition to the index TBI abstracted   Propensity scores were estimated in the original SOF and CF
          from medical records, total self-reported injuries and whether   samples using a logistic regression model including the SOF/
          injury occurred during deployment were collected via The Ohio   CF group as the dependent variable and age, sex, race (Black,
          State  University  TBI  Identification  Method  ( OSU-TBI-ID).    White, or other), years of education, TBI severity (mild, mod-
                                                         26
          The OSU-TBI-ID is a standardized interview designed to assess   erate, severe), and days from injury to rehabilitation admission
          lifetime history of TBI based on Centers for Disease Control and   as independent variables. SOF and CF participants were 1:1
          Prevention recommendations for TBI surveillance.   matched on the propensity scores using a caliper of 0.01. After
                                                             matching, balance diagnostics (including standardized mean
                                                             differences and variance ratios) examined the balance of de-
          Time-Varying Covariates
          (Collected at Every Data Collection Timepoint)     mographics and baseline characteristics in the matched SOF
                                                             and CF groups. To determine whether the matching process
          Problematic Substance Use                          changed the overall pattern of results for the SOF participants,
          Participants  provided  information  about  substance  use  at   we fit a longitudinal model to the repeated measure of PCL-C
          baseline and every follow-up assessment. Participants were   and compared the total SOF and matched SOF groups.
          asked whether they had used any illicit substances in the past
          year and about the frequency and amount of alcohol use in   In the matched samples of SOF and CF, a mixed-effects lon-
          the previous 30 days. Problematic substance use was identified   gitudinal model was fit to the repeated measure PCL-C and
          as any of the following: illicit drugs in the past year; binge   included SOF/CF group (A), TBI severity (B), time between the
          drinking (≥1 day in the past month that participant had ≥5   PCL-C and injury (C), two-way interactions between A, B, and
          drinks); or heavy consumption (for men >14 drinks per week;   C (D), and a three-way interaction between A, B, and C. Men-
          for women >7 drinks per week). 27                  tal health treatment and problematic substance use in the past
                                                             year were fixed effects, and matched subjects  were random
          Mental Health Treatment                            effects. We included two-way and three-way interactions in
          During baseline data collection, participants were asked if they   the model because some studies indicated that the trajectories
          had a history of mental health treatment prior to their TBI.   of PTSD symptoms differ based on TBI severitiy.  Since the
                                                                                                    12
          During every follow-up assessment, participants were asked if   PTSD trajectory was not expected to be linear, we applied or-
          they participated in mental health treatment in the past year. No   thogonal polynomials of degrees 1–3 to the time variable (i.e.,
          additional details about the type, quantity, or frequency of men-  time of the PCL-C measurement since injury) and included all
          tal health treatment were queried or included in the analyses.  orthogonal polynomials in the model. The average levels of
                                                             PTSD symptoms and their 95% confidence intervals were esti-
          Main Outcome: PTSD Checklist—Civilian Version (PCL-C)  mated over time based on the model for SOF/CF with different
                                        28
          The PTSD Checklist—Civilian Version  (PCL-C) is a 17-item   TBI severities, respectively.
          standardized self-report measure that assesses PTSD symptom
          severity over the previous month. Instructions ask the partici-  Results
          pant to rate how bothered s/he has been by each PTSD symp-
          tom in the past month on a 1 (Not at all) to 5 (Extremely)   As shown in Figure 1, of the 1,413 participants with known
          scale. Higher total scores indicate  more severe PTSD symp-  SOF status, 81 participants were excluded for not having a
          toms. Scores >49 indicate a probable PTSD diagnosis in mili-  PCL-C at any time point, and 141 were excluded due to miss-
          tary and veteran samples. 28,29  PCL-C was collected at baseline   ing data on the variables used to match the samples. A total
          and every follow-up assessment.                    of 1,191 SM/Vs who completed at least 1 PCL-C at any time
                                                             point were included in the matching, resulting in 205 SOF and
          Data Analysis                                      205 CF participants being matched on propensity scores with
          Data were analyzed using statistical software R v4.1.2 (R   a caliper of 0.01. Table 1 shows the demographics and other
          Foundation for Statistical Computing, Vienna, Austria). Sum-  baseline characteristics of the study samples before matching
          mary statistics were expressed as means (standard deviations)   (SOF, n=413; CF, n=778) and after matching (matched SOF,
          for continuous variables and counts (percentages) for categor-  n=205; matched CF, n=205). The standard mean differences
          ical variables.                                    and variance ratios demonstrated that the matched samples
                                                             were balanced with respect to age, sex, race, education, TBI
          Propensity score matching was used to create matched sam-  severity, and days from TBI to rehabilitation admission.
          ples of SOF and CF participants with similar demographic and
          baseline characteristics such that trajectories of PTSD symp-  We examined whether creating matched samples of SOF and CF
          toms (i.e., PCL-C total scores) would be compared between   changed the overall pattern of results for the SOF participants.

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