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Perinatal Depression Phase 4 Binary Endpoint NCT04094870

A Pilot Trial of Perinatal Depression Treatment in HIV Infected Women: Complete Statistical Analysis

This analysis examines a pilot randomized trial comparing antidepressant medication with interpersonal therapy for postpartum women living with HIV. The primary outcome was completion of the final study visit, with secondary outcomes covering symptom scores, viral load, treatment adherence, safety, and acceptability.

Trial start: 2019-10-30  ·  Enrollment: 80  ·  Sponsor: University of North Carolina, Chapel Hill
Scope of this record

This page provides an independent statistical analysis and educational interpretation of publicly reported results. ClinicalTrials.gov provides the official trial registry record. Numerical trial results on this page are restricted to the results posted in the ClinicalTrials.gov record; calculations added by Clinical Biostats are labelled as such.

1. Trial at a Glance

This page covers the registry results for A Pilot Trial of Perinatal Depression Treatment in HIV Infected Women (NCT04094870), a randomized phase 4 study. The primary outcome is Number of Women Retained in the Study.

80
Enrollment
Phase 4
2
Arms
In the primary outcome
+0.0 pts
Risk difference
Interpersonal Therapy
-6.8 to 6.8 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT04094870
PhasePhase 4
ConditionPerinatal Depression, HIV-1-infection
AllocationRandomized
Design modelParallel
MaskingNone (open label)
Enrollment80
Arms in the primary outcome2
Lead sponsorUniversity of North Carolina, Chapel Hill
Results postedYes

2. Clinical Question

Population

Postpartum women with HIV-1 infection and perinatal depression were the focus of this pilot trial. The registry summary describes women receiving antiretroviral therapy and says the study took place at several clinics in Lusaka, Zambia. More detailed eligibility criteria and participant characteristics are not reported in the registry record.

Intervention

One randomized group received daily self-administered sertraline, described in the registry as a selective serotonin reuptake inhibitor (SSRI), with a stated dose of 25 mg. The arm description uses the wording “25 mg table.” The registry lists a range of secondary outcomes related to antidepressant medication toxicity and adherence.

Comparator

The other group was assigned to interpersonal therapy (IPT), with up to 11 planned sessions over a 24-week period beginning on the day of randomization. The registry also lists an outcome concerning adherence to the interpersonal therapy arm. The record does not report further detail on session content or how treatment delivery was assessed.

Primary question

The primary outcome asks how many enrolled women completed the final study visit, scheduled approximately 24 weeks after enrollment. The main comparison is the number retained in each randomized group. The study’s stated purpose was to evaluate whether different postpartum depression treatments were feasible and acceptable in postpartum women with HIV receiving antiretroviral therapy; the primary outcome addresses study retention, not symptom improvement directly.

3. Trial Design

This was a randomized, parallel-group pilot trial registered as NCT04094870. The registry lists the trial as Phase 4, with no masking. It reports enrollment of 80 and shows 40 participants assigned to each treatment arm. The two assigned approaches were antidepressant medication, specifically sertraline, and interpersonal therapy. The registry describes the study as using quantitative and qualitative methods to assess feasibility and acceptability in postpartum women with HIV who were taking antiretroviral therapy.

The study took place at several clinics in Lusaka, Zambia. The registry gives a start date of 2019-10-30 and a primary completion date of 2020-10-30, and lists the status as completed. The primary outcome timeframe runs from enrollment to a final visit approximately 24 weeks after enrollment. The interpersonal therapy arm is described as having up to 11 planned sessions during a 24-week period beginning on the day of randomization. The medication arm is described as daily self-administered sertraline, a selective serotonin reuptake inhibitor.

The main trial result concerns retention: the registry reports that 39 participants in each group completed the final study visit. Outcome summaries also include symptom-score changes, adverse events, adherence, acceptability, and change in viral load. The registry lists 12 outcome measures, while seven secondary outcomes are posted in the available results. A fuller description of the randomization procedure, concealment, treatment delivery, qualitative methods, and analysis populations is not reported in the registry record.

4. Participant Flow and Accounting

The registry reports how participants moved through each stage of the study. All counts below are exactly as posted; missing counts are not inferred from other stages.

Overall Study

StageAntidepressant MedicationInterpersonal Therapy
STARTED4040
COMPLETED3939
NOT COMPLETED11

Reasons for not completing this period:

ReasonAntidepressant MedicationInterpersonal Therapy
Lost to Follow-up11

5. Baseline Characteristics

The table reproduces the baseline characteristics posted in the registry, which describe the participants analysed at baseline and help show whether the randomized groups were comparable.

CharacteristicUnitAntidepressant MedicationInterpersonal TherapyTotal
Participants analysed404080
Age, Continuousyears29.5 (SD 5.5)30.0 (SD 5.3)29.7 (SD 5.4)
Sex: Female, Male: FemaleParticipants404080
Sex: Female, Male: MaleParticipants000
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants000
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants404080
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants000
Race (NIH/OMB): American Indian or Alaska NativeParticipants000
Race (NIH/OMB): AsianParticipants000
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants000
Race (NIH/OMB): Black or African AmericanParticipants404080
Race (NIH/OMB): WhiteParticipants000
Race (NIH/OMB): More than one raceParticipants000
Race (NIH/OMB): Unknown or Not ReportedParticipants000
Region of Enrollment: ZambiaParticipants404080

6. Primary Endpoint

The registry lists the primary outcome as Number of Women Retained in the Study, measured over Enrollment - final visit, approximately 24 weeks after enrollment.

ElementRegistry entry
Result typeCount Of Participants
Measure of spreadnot applicable
UnitParticipants
Endpoint classificationBinary Endpoint

The primary endpoint is the number of enrolled women who completed the final study visit. The registry specifies that the visit was expected approximately 24 weeks after enrollment. It is therefore a retention outcome: it counts completion of the study visit rather than directly measuring depression symptoms, treatment adherence, viral load, or treatment acceptability.

The posted results report 39 completions among 40 participants in the antidepressant medication group and 39 among 40 in the interpersonal therapy group. The unadjusted risk difference for interpersonal therapy compared with antidepressant medication is 0.0. The registry also reports an unadjusted p-value of 1.0. These summaries indicate that the observed completion counts were the same in the two randomized groups. The confidence interval is reported as extending on both sides of zero, so the estimate is compatible with differences in either direction; its numerical bounds are not repeated because they exceed the stated display precision limit.

Retention is commonly used as a feasibility indicator in pilot studies (general statistical context). It can show whether participants completed the planned follow-up, but it is not by itself a direct measure of whether the treatments were acceptable or whether depression improved. The registry’s secondary outcomes address some of those other questions. The record does not describe a specific retention threshold for judging feasibility, so no pass-or-fail criterion can be inferred.

7. Results Posted in the Registry

Risk difference: Interpersonal Therapy

+0.0

95% CI: -6.8 to 6.8 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals85.988.991.894.897.8101Antidepressant Medication (n=40)Interpersonal Therapy (n=40)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Interpersonal Therapy-7.94-4.76-1.591.594.767.94risk difference (percentage points) vs control (95% CI)

8. Secondary Efficacy Endpoints

The registry also posts results for secondary outcomes. For each outcome below, the endpoint type, the test applied to the posted summary statistics, the result and its interpretation are given in turn. Secondary endpoints are usually not adjusted for multiple testing, so they support rather than confirm the primary finding.

Secondary outcomeTypeEffect measureEstimate (95% CI)Planning size, 80% power
Number of Women With an EPDS Score Decline of 3 Points From BaselineBinary EndpointRisk difference+5.1 pts (-1.8 to 12.1)n/a
Number of Women With a CGI Score Decline of One Point From BaselineBinary EndpointRisk difference+2.6 pts (-2.4 to 7.5)n/a
Changes in the Viral Load Between Study Entry and the Last VisitContinuous EndpointMean difference1.00 (-0.71 to 2.71)234 per arm

Number of Women With an EPDS Score Decline of 3 Points From Baseline

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Interpersonal Therapy-2.900.313.526.739.9513risk difference (percentage points) vs control (95% CI)

Number of Women With a CGI Score Decline of One Point From Baseline

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Interpersonal Therapy-3.19-0.891.413.716.028.32risk difference (percentage points) vs control (95% CI)

Changes in the Viral Load Between Study Entry and the Last Visit

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Interpersonal Therapy-0.98-0.190.601.402.192.98mean difference vs control (95% CI)

The secondary outcomes broaden the focus beyond retention. They include counts tied to changes in depression-related scores, medication toxicity and adherence, adherence to interpersonal therapy, acceptability of trial participation, and change in viral load. This range reflects the study’s stated interest in feasibility and acceptability as well as clinical and treatment-related measures. The posted outcomes use different definitions and scales, so they should be interpreted as separate pieces of descriptive evidence rather than as one combined measure.

Across these outcomes, the registry does not report a full set of statistical analyses. The available group summaries and unadjusted comparisons can suggest patterns, but they do not establish a consistent treatment advantage across outcome domains. Some outcomes are counts of participants meeting thresholds; others address adverse events or continuous viral-load change. Differences in denominator, measurement, and uncertainty make a single overall conclusion inappropriate.

The primary result concerns final-visit completion, not symptom change or viral load. Secondary findings therefore complement the retention result rather than redefining it. They may provide additional context about whether trial participation and treatment delivery were feasible, but the registry record does not provide a prespecified framework for combining these results into one feasibility judgment.

Unadjusted secondary comparisons carry less weight than a single prespecified primary outcome because multiple outcomes create more opportunities for chance findings. General statistical context: when multiple tests are interpreted together without adjustment or a defined hierarchy, isolated small p-values can be misleading. The registry record does not report multiplicity control or a plan that distinguishes confirmatory from exploratory secondary analyses. The secondary results are best read as exploratory descriptions that can inform further study, rather than as definitive evidence on their own.

Secondary outcomes registered for this trial, for reference (only those above were recalculated):

9. Statistical Interpretation

Clinical Biostats interpretation

For the primary outcome, the posted results show equal completion counts: 39 participants completed the final visit in each randomized group, from 40 assigned to each group. The estimated risk difference is 0.0, and the reported unadjusted p-value is 1.0. Thus, the observed retention data do not show a difference between the groups. This is a description of the observed pilot results, not evidence that the treatments are equivalent in general.

The uncertainty interval for the risk difference spans values on either side of zero. It therefore includes no difference as well as possible differences favoring either group. Because the interval is not narrow enough to rule out differences of practical importance, equal observed counts should not be read as proof that the underlying retention rates are identical. The registry record does not report a predefined retention target or a formal equivalence margin against which to judge the result.

The secondary results cover distinct outcomes and measurement scales. The posted symptom outcomes count participants whose score changed by a specified amount, whereas viral load is reported as a mean change in log copies/mL. Their denominators and uncertainty differ from the primary retention outcome. These secondary summaries can add descriptive context, but they do not alter what the primary result measures. The registry does not report analyses for the secondary outcomes, and the listed comparisons are unadjusted.

The trial is identified as a pilot whose stated purpose includes assessing feasibility and acceptability. A retention count is relevant to feasibility, but the available result alone cannot describe all aspects of feasibility, treatment delivery, acceptability, or clinical response. The registry lists adherence, medication toxicity, acceptability, and viral load among the outcomes, but fuller details about how the qualitative and quantitative evidence were brought together are not reported in the registry record.

These findings should be interpreted within the scope of the enrolled groups and the follow-up described in the record. The registry does not report detailed participant characteristics, eligibility criteria, or outcomes beyond those listed. The posted figures describe this trial; they do not establish a general comparison of the two treatments outside this study.

10. Statistical Methods Explained

The primary comparison is a difference in the proportion completing the final study visit. A risk difference expresses the difference between two group proportions in the outcome of interest. A value of 0.0 means that the observed proportions are equal. In this trial, the reported completion counts are equal as well: 39 of 40 in each group. This is an unadjusted comparison, meaning the posted summary does not account for other participant characteristics through a statistical adjustment.

What does a confidence interval describe?

General statistical explanation: a confidence interval communicates uncertainty around an estimated effect. It shows a range of values compatible with the data under the method used to construct it. An interval that includes zero for a difference does not establish that the true difference is zero; it indicates that the data do not exclude zero under that interval method. An interval extending to both negative and positive values can also be consistent with effects in either direction. The registry record does not report the confidence-interval construction method or confidence level, so those details should not be assumed.

How should the p-value be read?

General statistical explanation: a p-value describes how unusual data at least as discrepant as those observed would be under a specified null model. It is not the probability that the null hypothesis is true, nor is it a measure of the size or importance of an effect. The primary result has a reported unadjusted p-value of 1.0. That value accompanies an estimated risk difference of 0.0 and equal observed counts. It does not demonstrate equivalence or show that a meaningful difference is impossible.

How do the secondary outcome summaries differ?

The posted symptom outcomes are counts of participants meeting a stated score-change threshold. Their comparisons use risk differences, which contrast group proportions. Viral-load change is a continuous outcome reported as a mean and standard deviation in each group, with a mean difference used for the comparison. A mean summarizes the central value of a distribution; a standard deviation describes the spread of individual values around that mean. These summaries answer different questions and should not be treated as interchangeable.

General statistical explanation: mean-based summaries can be sensitive to skewness or unusually extreme observations, while counts and proportions have their own limitations, including dependence on the selected threshold. The registry does not report distribution checks, adjusted models, or further details of the analysis methods for these secondary outcomes. It is therefore not possible to assess from the registry record whether alternative models or assumptions were considered.

What does unadjusted mean for the secondary comparisons?

The registry posts unadjusted comparisons for the secondary outcomes. General statistical explanation: when several outcomes are examined, each unadjusted test is interpreted without accounting for the number of other tests. If many comparisons are considered, the chance of at least one apparently noteworthy result can increase. Adjustment methods can address some multiplicity concerns, but the registry record does not report a correction method or a prespecified hierarchy for interpreting secondary outcomes. The listed unadjusted p-values should therefore be regarded as exploratory rather than as stand-alone confirmatory evidence.

How should the planning illustration be understood?

The registry includes a sample-size planning illustration based on the observed viral-load effect, not on the trial’s own design assumptions. It describes equal allocation, a two-sided significance level of 0.05, a normal approximation, and planning for the stated fractions of the observed effect. For 100% of the observed effect, the illustration gives 234 participants per arm for 80% power and 312 participants per arm for 90% power. For 75% of the observed effect, it gives 415 participants per arm for 80% power and 555 participants per arm for 90% power. For 50% of the observed effect, it gives 933 participants per arm for 80% power and 1,248 participants per arm for 90% power.

These are planning illustrations, not observed power and not evidence that this pilot was designed to detect the listed effects. They are based on an effect estimated from the posted viral-load results, so they inherit uncertainty in that estimate. The registry does not report the trial’s own sample-size justification. General statistical context: planning calculations depend on the chosen effect, variability assumptions, error rate, and analysis method; changing those assumptions changes the resulting sample-size estimate.

11. Confidence Intervals and Precision

The primary estimate is a risk difference of 0.0, based on 39 final-visit completions among 40 participants in each group. The registry reports a confidence interval with a negative lower bound and a positive upper bound. The interval therefore includes zero and allows for possible differences in either direction. The numerical bounds are not reproduced because the registry values have more than three decimal places.

A point estimate alone does not convey precision. The interval gives a sense of how much uncertainty remains around the estimate, while the equal observed counts describe only what happened in this trial. The interval is not so narrow that it establishes the two groups’ underlying retention as identical. The registry does not report a confidence level or the method used to calculate the interval, so those features cannot be specified.

The trial’s pilot nature and the number of observed outcomes also matter to interpretation. The primary outcome is a count over a relatively small randomized group, and the secondary outcomes use their own denominators and scales. The viral-load comparison, for example, is expressed as a mean difference with a confidence interval that crosses zero. Its planning illustration requires substantially larger per-arm samples for the listed power targets, but those are planning figures based on the observed effect, not a retrospective statement about the trial’s power.

General statistical context: a wide interval indicates limited precision, while a narrow interval indicates greater precision under the method used. Neither width nor whether an interval includes zero determines clinical importance on its own. Judging importance also requires a meaningful threshold, which is not reported in the registry record for retention or the other outcomes.

12. Multiplicity, Missing Data and Analysis Populations

The registry lists one primary outcome and several secondary outcomes, including symptom-score thresholds, adverse events, treatment adherence, acceptability, and viral-load change. It does not report a statistical analysis plan specifying how these outcomes were prioritized beyond the stated primary outcome. A prespecified hierarchy or multiplicity adjustment is not reported in the registry record.

Multiplicity matters because each additional statistical comparison creates another opportunity for a result to appear notable by chance. General statistical context: adjustment procedures or a clear outcome hierarchy can help control how several tests are interpreted. Without reported adjustment, secondary p-values should be treated as unadjusted and exploratory. The registry lists no reported analyses for the secondary outcomes, further limiting the basis for confirmatory interpretation.

The record does not describe how missing outcome data were handled, whether analyses followed intention-to-treat principles, or whether a per-protocol population was defined. The primary outcome itself records completion of the final visit, but the registry does not report how participants without a final visit were handled in analyses of other outcomes. Secondary results use 39 participants per group for several measures, while the primary retention outcome starts from 40 assigned per group. Reasons for the differing denominators and any imputation procedures are not reported in the registry record.

Detailed analysis populations, exclusions, missingness patterns, and sensitivity analyses are also not reported in the registry record. These omissions do not negate the posted summaries, but they limit assessment of whether the analyzed participants represent all randomized participants and whether missing data could affect the secondary comparisons. The record does not report interim analyses or stopping rules; their presence or absence should not be inferred.

13. Safety Results

The registry reports serious adverse events as affected participants divided by participants at risk.

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Antidepressant Medication0400.0%
Interpersonal Therapy0400.0%

Deaths

ArmDeaths (participants affected of at risk)
Antidepressant Medication0 of 40
Interpersonal Therapy0 of 40

Other (non-serious) adverse events

Participants with at least one non-serious event at or above the registry's 5% reporting threshold.

ArmParticipants affected of at risk
Antidepressant Medication9 of 40
Interpersonal Therapy9 of 40

Most frequent non-serious adverse event terms

Event termOrgan systemAntidepressant MedicationInterpersonal Therapy
Suicidal IdeationPsychiatric disorders2 of 409 of 40
Mild medication toxicity - Central nervous systemNervous system disorders4 of 400 of 40
Mild Medication Toxicity - GastrointestinalGastrointestinal disorders3 of 400 of 40
Do not overextend the safety comparison. Serious-adverse-event counts are safety observations, not efficacy outcomes, and should not be combined with the primary result into a single benefit-risk number.

The adverse-event summaries list zero serious adverse events among 40 participants at risk in each treatment group. They also list 9 other adverse events among 40 at risk in each group, with zero deaths in each group. These are registry-record counts, not a detailed account of event types, severity, timing, or causal attribution.

The summary does not establish that the treatment groups have identical safety profiles. Counts in a pilot study provide limited precision, and the record does not report confidence intervals or a statistical comparison for these safety figures. The serious-event terms list is empty, and details about the nine other events in each group are not reported in the registry record. The separate secondary outcome concerning antidepressant medication toxicity is listed, but a result for that outcome is not included among the posted secondary summaries described in the record.

General statistical context: adverse-event counts are most informative when accompanied by definitions, event descriptions, follow-up duration, and assessment procedures. Without those details, the posted figures can be read only as the recorded counts for the stated groups and at-risk denominators.

14. What the Result Does, and Does Not, Mean

The primary result shows equal observed retention counts in the two randomized groups: 39 participants completed the final visit in each group, from 40 assigned to each. The reported risk difference is 0.0, and the unadjusted p-value is 1.0. These findings describe the observed trial data and do not show a difference in final-visit completion between the groups.

The result does not prove that the treatments have identical retention rates. The confidence interval extends to both sides of zero, leaving room for differences in either direction. The record does not provide a predefined equivalence margin or feasibility threshold, so the result cannot be classified against such a criterion.

Retention is only one aspect of feasibility. The study also planned to assess acceptability, treatment adherence, medication toxicity, symptom-score changes, and viral-load change. Those outcomes address different questions, and their posted summaries do not turn the retention measure into a direct measure of depression response or overall treatment acceptability. The registry record does not report enough detail to establish how all quantitative and qualitative evidence was combined.

These results do not establish whether either treatment is effective, ineffective, safer, or preferable for individuals. They describe outcomes in this pilot trial and should not be generalized beyond the population and setting studied without further evidence. Detailed participant characteristics, eligibility criteria, and some analysis methods are not reported in the registry record, limiting assessment of how broadly the findings may apply.

The viral-load planning figures likewise should not be mistaken for observed trial conclusions or observed power. They are sample-size illustrations calculated from the observed effect under stated assumptions. They indicate what those assumptions imply for future planning, not what a larger study would necessarily find.

15. Why This Trial Matters Statistically

This trial illustrates why a pilot study’s primary outcome may concern whether participants complete follow-up rather than whether a treatment changes a clinical measure. Retention is a practical component of feasibility, and the posted completion counts are directly interpretable as study follow-up outcomes. The result is therefore relevant to the trial’s stated feasibility focus, while remaining distinct from symptom change, treatment adherence, acceptability, or viral load.

It also shows the difference between an equal point estimate and a precise estimate. Both groups had the same observed completion count, and the risk-difference estimate is 0.0. Yet the confidence interval crosses zero and includes possible differences in either direction. The absence of an observed difference is not the same as evidence of equivalence; a study needs an appropriate design and a prespecified margin to support an equivalence claim, and no such margin is reported.

The range of secondary outcomes highlights another statistical issue: a study may collect several kinds of evidence, each with distinct denominators, scales, and interpretations. Unadjusted comparisons across multiple outcomes require caution, particularly when the registry does not report a multiplicity plan or detailed analysis methods. The pilot’s results are informative as descriptive estimates, but they do not carry the same confirmatory weight as a prespecified primary analysis.

Finally, the sample-size illustration makes clear that planning depends on the effect chosen for detection and the assumptions used. Because the illustration is based on the observed viral-load effect, it is not a justification for the completed trial’s enrollment and not a measure of its observed power. The registry does not report the trial’s own sample-size rationale.

16. Limitations

The registry record leaves important aspects of the trial methods and population undescribed. Detailed eligibility criteria, participant characteristics, the randomization procedure, allocation concealment, treatment fidelity, and the conduct of the qualitative methods are not reported in the registry record. These details would help readers assess implementation and the applicability of the findings.

The primary outcome is limited to final-visit completion. It does not directly measure symptom response, treatment acceptability, or treatment adherence. Although the registry lists those areas among secondary outcomes, it does not provide a complete set of reported analyses or a framework for integrating them into an overall feasibility assessment. The specific feasibility threshold, if any, is not reported in the registry record.

The registry does not report how missing data were handled, why some secondary outcome denominators differ from the primary outcome group sizes, or which analysis populations were used. The confidence-interval method and confidence level are also not reported. The record does not provide a prespecified multiplicity strategy, detailed statistical analysis plan, or reported secondary analyses.

The adverse-event summary gives counts but not event descriptions or details about seriousness assessment, timing, or attribution. The sample-size illustration is based on the observed viral-load effect rather than a reported design justification, and it cannot resolve uncertainty in that effect. These limitations constrain the conclusions that can be drawn from the posted registry summaries.

17. Related Tutorials

18. Related Statistical Calculators

19. Sources

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20. Record Summary

NCT04094870 is a completed, randomized, unmasked, parallel-group Phase 4 pilot trial of antidepressant medication compared with interpersonal therapy for postpartum women with HIV-1 infection and perinatal depression. The registry describes the participants as receiving antiretroviral therapy and the study setting as several clinics in Lusaka, Zambia. Enrollment was 80, with 40 assigned to each group.

The primary outcome was completion of the final study visit approximately 24 weeks after enrollment. The registry reports 39 completions in each group, a risk difference of 0.0, and an unadjusted p-value of 1.0. Secondary outcomes include symptom-score changes, treatment adherence, acceptability, adverse events, and viral-load change. The record does not report a full secondary analysis plan, missing-data procedures, or a sample-size justification for the trial.

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