The QIDS-SR ranges from 0-27 and assesses the severity and number of depression symptoms. Data completed through the Audio Computer Assisted Interview (ACASI) system are used for this outcome. A lower score indicates fewer depression symptoms and lower depression symptom severity. Scores for all participants at a site were averaged. The site-specific averages were then analyzed.

All participants who entered QIDS-SR data into the ACASI system were analyzed.

We are assessing the percentage of participants with a response to treatment.The percentage of participants at each site with a response was calculated. These percentages were averaged for each treatment and the treatment averages were compared. A response to treatment is considered a decrease in Quick Inventory of Depression Symptomatology, Self Report (QIDS-SR) from Study entry to Week 24 by more than 50%. The week 0 value is generally considered the entry value. Priority is given to the ACASI score at week 0. In certain cases, the week 1 ACASI value is used if there is no ACASI score at week 0, but there is one at week 1. Paper form scores are used for "study entry" if there is no ACASI record, with the value at week 0 prioritized over the value at week 1. Otherwise, ACASI data are used for this outcome. The QIDS-SR is scored from 0 to 27 with a lower score indicating less symptomatology.

We analyzed data from all participants with ACASI data at weeks 0 and 24.

We computed the percentage of participants at each site with remission and then compared the percentages. Remission is defined as a Quick Inventory of Depression Symptomatology, self-report (QIDS-SR) score <= 5. ACASI data are used for this outcome. The QIDS-SR scale is from 0-27 with a lower score indicating tess symptomatology.

We analyzed data from all participants with an ACASI QIDS-SR score at week 24.

CD4 cell counts are cells/microL (uL). CD4 cell counts of all participants at a site were averaged. The averages were then analyzed.

All participants with a CD4 cell count at week 24 were analyzed.

Plasma HIV RNA data are calculated on the log10 scale as log10(RNA copies/mL)

For this analysis, HIV-1 RNA values (copies per mL) that were censored below the lower limit of quantification (LLQ) were imputed to be equal to the LLQ - 1. The LLQ was considered to be 40 copies/mL. Viral load was calculated on the log10 scale as log10(RNA copies/mL). Viral load suppression was also measured as copies < 40.

The log10 (RNA copies/mL) values were averaged by site and those averages were analyzed.

We analyzed data for all participants with a non-missing HIV RNA copies value at week 24.

Adherence to anti-HIV medications at each assessment for the first 24 weeks (during active treatment) and at 48 weeks, as measured by self-report. The first of three questions was to assess the number of days in the last 30 with any missed medication doses.The average number of days for all participants at a site were averaged. The site-specific averages were then analyzed.

We analyzed data for all participants with an ACASI interview at either week 24 or week 48

Adherence to anti-HIV medications at each assessment for the first 24 weeks (during active treatment) and at 48 weeks, as measured by self-report. The second of three questions was how good the participant is at taking his medication as instructed in the last 30 days. Response scales are Likert from 1 to 6, with a higher score indicating better adherence. 1=Very poor .... 6=Excellent. The average score for all participants at each site was computed and these site-level summaries were compared across treatments.

We analyzed data for each participants with a response at either week 24 or week 48.

Adherence to anti-HIV medications at each assessment for the first 24 weeks (during active treatment) and at 48 weeks, as measured by self-report. The third of three questions was how often the participant took medication correctly in the last 30 days. Response scales are Likert from 1 to 6, with a higher score indicating better adherence. 1=Never ... 6=Always. The average score for all participants at a site was computed and these site-level summaries were compared across treatments.

We analyzed data for all participants with adherence reported at either week 24 or week 48

Adherence to depression medications at each assessment for the first 24 weeks (during active treatment) and at 48 weeks, as measured by self-report for those participants taking depression medications. Three questions were asked; The first of the three questions was to assess the number of days in the last 30 with any missed medication doses.The average number of days for all participants at a site were averaged. The site-specific averages were then analyzed.

We analyzed data for all participants with adherence to depression medication data reported at either week 24 or week 48. Participants not taking depression medication were excluded.

Adherence to depression medications at each assessment for the first 24 weeks (during active treatment) and at 48 weeks, as measured by self-report tor those participants taking depression medications. The second of three questions was how good the participant is at taking his medication as instructed during the last 30 days. Response scales are Likert from 1 to 6, with a higher score indicating better adherence.1=Very poor .... 6=Excellent. The average score for all participants at each site was computed and these site-level summaries were compared across treatments.

We analyzed data for all participants with adherence to depression medications reported at either week 24 or week 48. Participants not on depression medications were excluded.

Adherence to depression medications at each assessment for the first 24 weeks (during active treatment) and at 48 weeks, as measured by self-report for those participants taking depression medications. The third of three questions was how often the participant took medication correctly in the past 30 days. Response scales are Likert from 1 to 6, with a higher score indicating better adherence: 1=Never .... 6=Always. The average score for all participants at each site was computed and these site-level summaries were compared across treatments.

We analyzed data for all participants with adherence to depression medications reported at either week 24 or week 48. Participants not on depression medications were excluded.

We computed the number of scheduled counseling sessions attended. The average number of sessions was computed for all participants at each site and these site-level averages were compared across treatments.Where study visits for weeks 0 and 1 were held on the same day, the counseling session for week 1 would have been administered at week 0.

We analyzed the number of sessions for all participants entering the study.

We computed the number of scheduled medication management sessions (COMB-R only) attended. The average number of sessions was computed for all participants at each site. We took the mean of the site-level averages.

We analyzed data for all COMB-R participants.

We computed the number study visits completed as the number of scheduled study visits completed to date as of week 24 and week 48. However in some cases, weeks 0 and 1 visits were done on the same day. In that case, they were counted as separate visits.The average number of visits was computed for all participants at each site and these site-level averages were compared across treatments.

We analyzed data for all study participants

The Quick Inventory of Depression Symptomatology Self-Report (QIDS-SR) score ranges from 0-27 and assesses the severity and number of depression symptoms. Data completed through the Audio Computer Assisted Interview (ACASI) system were used for this outcome. A lower score indicates fewer depression symptoms and lower depression symptom severity. Scores for all participants at a site were averaged. The site-specific averages were then analyzed.

We analyzed all data from participants with a QIDS-SR score at week 48.

A response to treatment was considered to be a decrease in Quick Inventory of Depression Symptomatology, Self Report (QIDS-SR) from Study entry to Week 48 by more than 50%. The week 0 value was generally considered the entry value. Priority was given to the ACASI score at week 0. In certain cases, the week 1 ACASI value was used if there was no ACASI score at week 0, but there was one at week 1. Paper form scores were used for "study entry" if there were no ACASI records, with the value at week 0 prioritized over the value at week 1. Otherwise, ACASI data were used for this outcome. The QIDS-SR was scored from 0 to 27 with a lower score indicating less symptomatology.The percentage of participants with a QIDS-SR response at each site was calculated. These percentages were averaged for each treatment and the treatment averages were compared.

We analyzed data from participants with ACASI data at weeks 0 and 48.

Remission is defined as a Quick Inventory of Depression Symptomatology, self-report (QIDS-SR) score of 5 or less. ACASI data are used for this outcome. The QIDS-SR scale is from 0-27 with a lower score indicating tower depression symptomatology. We computed the percentage of participants at each site with remission and then compared the site-level percentages across treatments.

We analyzed data for all participants with a week 48 QIDS-SR ACASI score.

QIDS-SR score (defined in Outcome 15). Effect of moderators on depression outcomes:Demographic: age group, gender, mode of HIV acquisition, initial level of depression (QIDS-SR categorized as severe/very severe vs. moderate or less severity); Biological: baseline CD4 (count/uL categorized as stage 3 [< 200 cells] vs. less than stage 3), nadir CD4 at study entry (based on count/uL and considering worst classification across ages, defined below), plasma HIV RNA suppression status, Center for Disease Control and Prevention (CDC) clinical stage at entry (Stage 3 vs. less than stage 3): Determination of nadir CD4 cell count as Stage 3 was based on the following: If any of the following were true, the overall CD4 nadir cell count was classified as Stage 3: <750 cells at < 1 year of age; < 500 cells at 1-5 years of age; <200 cells at 6+ years of age (from Revised Surveillance Case Definition for HIV Infection - United States, 2014). See analysis section for description of method.

All participants in each effect modifier subgroup with ACASI data at week 48 were analyzed. In some cases a site did not have any participants in a given subgroup, in which case an interaction term for that site could not be computed and the site was excluded from the analysis.

Response to Treatment (defined in Outcome 16): Effect of moderators on depression outcomes: Demographic: age group, gender, mode of HIV acquisition, initial level of depression (QIDS-SR categorized as severe/very severe vs. moderate or less severity); Biological: baseline CD4 (count/uL categorized as stage 3 [< 200 cells] vs. less than stage 3), nadir CD4 at study entry (based on count/uL and considering worst classification across ages, defined below), plasma HIV RNA suppression status, Center for Disease Control and Prevention (CDC) clinical stage at entry (Stage 3 vs. less than stage 3): Determination of nadir CD4 cell count as Stage 3 was based on the following: If any of the following were true, the overall CD4 nadir cell count was classified as Stage 3: <750 cells at < 1 year of age; < 500 cells at 1-5 years of age; <200 cells at 6+ years of age (from Revised Surveillance Case Definition for HIV Infection - United States, 2014). See analysis section for description of method.

We analyzed data for every participant with a defined response. In order to have a defined QIDS-SR response the participant had to have data at both week 0 and week 48. In some cases a site did not have any participants in a given subgroup, in which case an interaction term for that site could not be computed and the site was excluded from the analysis.

Remission (defined in Outcome 17): Effect of moderators on depression outcomes: Demographic: age group, gender, mode of HIV acquisition, initial level of depression (QIDS-SR categorized as severe/very severe vs. moderate or less severity); Biological: baseline CD4 (count/uL categorized as stage 3 [< 200 cells] vs. less than stage 3), nadir CD4 at study entry (based on count/uL and considering worst classification across ages, defined below), plasma HIV RNA suppression status, Center for Disease Control and Prevention (CDC) clinical stage at entry (Stage 3 vs. less than stage 3): Determination of nadir CD4 cell count as Stage 3 was based on the following: If any of the following were true, the overall CD4 nadir cell count was classified as Stage 3: <750 cells at < 1 year of age; < 500 cells at 1-5 years of age; <200 cells at 6+ years of age (from Revised Surveillance Case Definition for HIV Infection - United States, 2014). See analysis section for description of method.

We analyzed data for all participants with an ACASI QIDS-SR reported at week 48. We computed the percent of participants with remission at week 48 at each site. In some cases a site did not have any participants in a given subgroup, in which case an interaction term for that site could not be computed and the site was excluded from the analysis.

The percent of participants who reported ever using alcohol was computed for each site. These site-level percentages were compared across treatment groups.

All participants responding to the behavioral risk questionnaire at either week 24 or 48

Frequency of alcohol use during the past three months was reported for those participants reporting at least some use ever; frequency was measured on a 5-point Likert scale from 1 to 5 (1=Never, 2=Once or twice, 3 = monthly, 4=weekly, 5 = daily or almost daily). A lower score indicates less alcohol use. The percentage of participants at each site with regular use (3=monthly, 4=weekly, 5=daily) was computed. The site-level percentages were compared across treatments.

All participants with behavior risk responses at week 24 or 48 who also responded that they had used alcohol.

The number of alcoholic drinks per day on a typical day was reported. The average of the number of drinks for all participants at each site was computed and these site-level averages were compared across treatments. Analysis was limited to those participants reporting at least some use ever.

All participants with behavior risk data at week 24 or 48 who said they had used alcohol

Binge drinking is defined by the number of days with 5 or more drinks in a row (within a couple of hours) during the past 3 months. These numbers were averaged for all participants at each site and the site-level averages were compared across treatments.Analysis was limited to those participants reporting at least some use ever.

All participants with behavior risk responses at week 24 or 48 who also said that they had used alcohol.

The percent of participants reporting tobacco use (ever) was computed for each site and these site-level averages were compared across treatments.

All participants with behavior risk data at either week 24 or 48.

Past three months frequency of tobacco use was measured on a 5-point Likert scale (1=never, 2=once or twice, 3=monthly, 4 = weekly, 5=daily/almost daily). The percentage of participants with regular use (monthly, weekly or daily) was computed. Analysis was limited to those participants reporting at least some use ever.

All participants with behavior risk data at weeks 24 or 48 who said that they had used tobacco.

For each of the following substances (cannabis, cocaine, amphetamine, inhalants, sedatives, hallucinogens, opioids) we computed the percent of participants at each site who reported ever using the substance. We also computed the site-level percentages of participants ever using any illegal substance excluding cannabis.

All participants with behavior risk data at weeks 24 and 48.

Past three months use frequency for cannabis, cocaine, amphetamine, inhalants, sedatives, hallucinogens, opioids was assessed. This was measured on a 5-point Likert scale from 1=Never to 5=almost daily. A lower score indicates less frequent use. Scores were dichotomized as regular use (3=monthly, 4=weekly, 5=daily/almost daily) or low use (1=never, 2=once or twice). The percent of participants who used a substance at regularly, given they ever used it, was computed for each site. We also defined a variable of regular frequency of use for any illegal substance, excluding cannabis.

We analyzed data for all participants with substance use data reported at either week 24 or week 48. Note that the overall number of participants analyzed includes cannabis use.

We considered a report of sex as exchange commodity if participant reported either that they gave sex in exchange for money, drugs or shelter or if they bought sex with money, drugs or shelter. This was only reported for participants who said they had had some sex (oral, vaginal or anal) ever. The percent of participants at each site who used sex as an exchange commodity was computed and the site-level percentages were compared across treatments.

We analyzed data for all participants who had reported they had ever had sex and with behavioral risk data reported at weeks 24 or 48.

Participant reported importance that participant or partner use a condom on a scale from 0 to 100 with 0=not important at all, 50= about as important as the other things in my life and 100=most important thing in my life.This was only reported for participants who said they had had some sex (oral, vaginal or anal) ever. The average scores were computed for all participants at each site and the site-level averages were compared across treatments.

We analyzed data for all participants reporting ever having had sex and with behavioral risk data at weeks 24 or 48.

Participant reports how confident they are that she/he or partner will use condoms. Reported on a scale from 0-100 with 0=I do not think I will use condoms, 50=I have a 50% chance of using a condom; 100=I think I will definitely use a condom.This was only reported for participants who said they had had some sex (oral, vaginal or anal) ever. The average scores were computed for all participants at each site and the site-level averages were compared across treatments.

We analyzed data for everyone who reported having ever had sex and with behavior risk data at weeks 24 or 48.

The participant reported the number of sexual partners in the past three months. This was only reported for participants who said they had had some sex (oral, vaginal or anal) ever. The average number of sexual partners was computed for all participants at each site and the site-level summaries were compared across treatment groups.

We analyzed data for all participants who reported ever having had sex and who had data at weeks 24 or 48.

Main partner frequency of condom use was measured on a 5-point Likert scale from 1= always, 2 = more than half the time, 3= about half the time, 4=less than half the time to 5=never. It is only reported if participant reported some anal or vaginal sex in past three months. The worse (higher) score of that reported for vaginal or anal sex is analyzed. For each site we computed the percent of participants reporting low frequency of condom use (score = 3, 4 or 5). The site-level percentages were averaged and the site-level averages were compared across treatments.

We analyzed data for all participants reporting one or more sexual partner in past 3 months with data at week 24 or 48 and who reported vaginal or anal sex.

Condom use frequency for other than main partners was measured on a 5-point Likert scale from 1= always, 2 = more than half the time, 3= about half the time, 4=less than half the time to 5=never. It is only reported if participant reported some anal or vaginal sex in past three months. The worse (higher) score of that reported for vaginal or anal sex is analyzed. For each site we computed the percent of participants reporting low frequency of condom use (score = 3, 4 or 5). The site-level percentages were averaged and the site-level averages were compared across treatments.

We analyzed data for all participants reporting one or more sexual partner in past 3 months and who reported either anal or vaginal sex, with data from weeks 24 or 48.

We counted the total numbers of COMB-R and ESC counseling sessions administered over the intervention period (through week 24), including both interim and scheduled visits. The average number of sessions was computed for all participants at each site and those averages were compared across treatments.

We analyzed data for all study participants

For COMB-R; we assessed numbers of participants for whom counselors reported using each type of cognitive behavioral therapy (CBT) approaches over the intervention period. A participant was counted in a specific category if the approach was ever used during the 24 week intervention period.

We analyzed data for all COMB-R participants with at least one counseling session over the 24 week treatment period.

We summarized the types of counseling approaches used by the ESC clinicians over the intervention period. A participant was counted in a specific category if the approach was ever used during the 24 week intervention period.

We analyzed all participants in the ESC group with at least one counseling session.

We computed the number of Medication Management (MM) sessions attended by participants in the COMB-R group over 24 weeks including both interim and scheduled visits .We averaged the number of sessions for all participants at each site and then took the mean of the site-level averages.

We analyzed data for all COMB-R study participants

We summarized the stages of the MM algorithm reported for participants by prescribing clinicians in the COMB-R group. Stage 0 is no medication. Stage 1 is monotherapy with a selective serotonin re-uptake inhibitor (SSRI). Stage 2 is monotherapy with a second SSRI. Stage 3 is monotherapy with a non-SSRI. Stage 4 is combination treatment with two antidepressants or an antidepressant plus lithium. Stages 1 through 3 also allow for partial responders to receive augmentation with selected other psychiatric medications.

We analyzed data for all COMB-R participants with a medication management session administered.

We assessed whether or not participants were taking psychiatric medications at week 24 and we computed the percent of participants at each site taking psychiatric medications overall and by classes of psychiatric medications. We compared the site-level percentages across treatment groups. Classes of medications included: any psychiatric medication, any antidepressant medication, any regimen with a selective serotonin re uptake inhibitor (SSRI), any regimen with a non-SSRI antidepressant medication, any other non-antidepressant psychiatric medication.

We analyzed all participants on study at week 24

For those participants taking each of several classes of psychiatric medications during the first 24 study weeks, we computed the percent of study time during which each participant was taking psychiatric medications of that category. Regimen classes were: any psychiatric medication, any antidepressant medication, single selective serotonin re-uptake inhibitor (SSRI), single non-SSRI, SSRI+other medication, non-SSRI+other medication. Then the average percent of time on each category of medication was computed for all participants at each site. The site-level means were compared across treatments.

For each class of psychiatric medication, participants who had received it at some time during the first 24 weeks of the study.

We counted the number of interim visits with the counseling clinician, defined as those outside of the scheduled study visits. The average number for all participants at each site were computed. Site mean numbers were compared across treatments.

We analyzed data for all study participants

We counted the number of interim visits with the prescribing clinician, defined as those outside of the scheduled study visits. We computed the average number of sessions for all participants at each site. We took the mean of those averages.

We analyzed data for all COMB-R participants

Client satisfaction was computed as the mean of the 8 questionnaire items. Each is rated on a 4-point Likert scale from 1-4, with 4 being the best acceptability. Items reflected quality of service, degree to which program met participant needs, and satisfaction with and efficacy of the help given. The average score for all participants at each site was computed. Site mean scores were compared across treatments.

All participants with at least one counseling clinician, prescribing clinician or participant acceptability questionnaire completed

Six items were rated on a 4-point Likert scale from 0-3 (0=poor, 1=fair, 2=good, 3=excellent). A higher score indicates better clinician satisfaction with administering the intervention. These questions rated appropriateness, effectiveness, flexibility, ease of use, fit and overall quality of the treatment approach. For each participant's clinician, a mean score of the six items was computed. The average score was computed for the clinicians of all participants at each site. These site-level means were compared between groups.

All participants with at least one counseling clinician, prescribing clinician or participant acceptability questionnaire completed.

For each participant's prescribing clinician, we assessed two domains: How easy or difficult it was to follow the treatment plan (ESC) or medication management algorithm (COMB-R) and whether or not participants symptoms improved over the intervention period. These items were assessed on a 5-point Likert scale (0, 1, 2, 3, 4) and reverse scored if necessary so that a higher score reflected that it was easier to follow the algorithm and that the patients' symptoms improved. Average scores at each site were computed and the site-level summaries were compared across treatments.

Prescribing clinician responses for all participants with at least one counseling clinician, prescribing clinician or participant acceptability questionnaire completed. For the ESC group, prescribing clinicians sometimes did not complete the questions if participant was not on medication for depression.

In this analysis only "new" events were counted; as identified by MedDRA Preferred Term; that is, those which were first reported after study entry. Two types of adverse events were reported: 1) grade 3 or higher signs/symptoms, and 2) grade 3 or higher diagnoses. "Trigger" events (psychiatric hospitalization or suicide attempts) were also reported. For each of these three types of events, the percent of participants at each site with at least one such event was computed. The average of these site-level percentages within each treatment arm were compared. Note, in some cases due to sparseness (few events reported at sites within a treatment group), the lower bound of the 95% confidence interval was less than zero . In those cases, the bounds were truncated to zero.

This is the analysis for the Week 24 data. We count a participant if any new qualifying event was reported prior to the week 24 upper window (+30 days).

n this analysis only "new" events were counted; as identified by MedDRA Preferred Term; that is, those which were first reported after study entry. Two types of adverse events were reported: 1) grade 3 or higher signs/symptoms, and 2) grade 3 or higher diagnoses. "Trigger" events (psychiatric hospitalization or suicide attempts) were also reported. For each of these three types of events, the percent of participants at each site with at least one such event was computed. The average of these site-level percentages within each treatment arm were compared. Note, in some cases due to sparseness (few events reported at sites within a treatment group), the lower bound of the 95% confidence interval was less than zero . In those cases, the bounds were truncated to zero.

This is the analysis for the Week 48 data. We count a participant if any new qualifying event was reported prior to the week 48 upper window (+30 days).