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Anxiety Neuroses Phase 3 Continuous Endpoint NCT01226511

A Study in Pediatric Participants With Generalized Anxiety Disorder: Complete Statistical Analysis

A randomized Phase 3 trial compared duloxetine with placebo for children and adolescents with generalized anxiety disorder. The primary analysis assessed change in PARS severity over 10 weeks.

Trial start: 2011-06  ·  Enrollment: 281  ·  Sponsor: Eli Lilly and Company
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 Study in Pediatric Participants With Generalized Anxiety Disorder (NCT01226511), a randomized phase 3 study. The primary outcome is Change From Baseline to 10-Week Endpoint in the Pediatric Anxiety Rating Scale (PARS) Severity Score Evaluated for Symptoms Identified on the Generalized Anxiety Subsection of the PARS Symptom Checklist.

281
Enrollment
Phase 3
2
Arms
In the primary outcome
-2.65
Mean difference
Duloxetine (Acute Treatment)
-4.04–-1.26
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT01226511
PhasePhase 3
ConditionAnxiety Neuroses, Anxiety States, Neurotic, Neuroses, Anxiety
AllocationRandomized
Design modelParallel
MaskingQuadruple
Enrollment281
Arms in the primary outcome2
Lead sponsorEli Lilly and Company
Results postedYes

2. Clinical Question

Population

Children and adolescents with generalized anxiety disorder (GAD) were the intended population. The primary analysis included randomized participants who had a baseline and at least 1 post-baseline PARS severity score during acute treatment; 9 participants from 1 site were excluded because of major quality issues. Specific age eligibility limits are not reported in the registry record.

Intervention

Duloxetine was given by mouth once daily, with flexible dosing of 30-120 mg, during the 10-week blinded treatment period. The registry record also describes an 18-week extension after the blinded period.

Comparator

Placebo was given once daily during the 10-week blinded treatment period. The registry record says placebo participants received duloxetine during the 18-week extension.

Primary question

Did the duloxetine group have a different change in PARS severity score for GAD from baseline to the 10-week endpoint than the placebo group? The score evaluates severity and impairment associated with GAD symptoms; lower scores indicate less severe symptoms on its stated scale.

This is a treatment comparison, not a comparison of duloxetine with another active medicine. The central statistical question concerns the difference between groups in average change, rather than whether either group changed from baseline in isolation. The registry record identifies the study as randomized, double-blind, and Phase 3. It records 281 participants enrolled, while the primary analysis population is defined by the availability of baseline and post-baseline PARS measurements and the stated site exclusion. The population actually used for each outcome therefore matters when interpreting any reported estimate.

The primary question is specific to the blinded acute-treatment period and the designated PARS score. It does not, by itself, answer whether changes persisted during the extension or apply to people outside the trial population. Other outcomes address response, other symptom and functioning measures, and safety; they provide related but distinct information. Eligibility details beyond the broad pediatric GAD population are not reported in the registry record.

3. Trial Design

The registry record describes a randomized, parallel-group Phase 3 study with quadruple masking. The title identifies a double-blind comparison, while the design record uses the broader masking label; the identities of the parties masked are not reported in the registry record. Participants were allocated to duloxetine or placebo for the 10-week acute-treatment period. Duloxetine used flexible dosing from 30-120 mg once daily by mouth; placebo was administered once daily.

After the blinded treatment period, the registry describes an 18-week extension. Participants assigned to duloxetine could participate in the extension, and placebo participants received duloxetine during it. The primary outcome, however, is measured from baseline to the 10-week endpoint, so the main comparison concerns the acute-treatment phase rather than the extension. The registry record lists the study as completed and records 281 participants enrolled. Start and primary completion are listed as 2011-06 and 2013-02.

The primary analysis population is described as randomized participants with a baseline and at least 1 post-baseline PARS severity score during acute treatment, with 9 participants at 1 site excluded because of major quality issues. The reported arm counts for the primary outcome are 135 for duloxetine and 133 for placebo. These counts describe that analysis, not necessarily every population used for every safety or secondary outcome.

The registry record does not report the original sample-size justification, the planned allocation ratio, the identities of masked parties, or detailed randomization procedures. It also does not report an interim-analysis plan. These details should not be inferred from the observed group sizes or from the methods used to analyze the primary endpoint.

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.

Before assignment: This study had 4 periods: Screening period (1-week), acute treatment period (10-week, double-blind period with flexible duloxetine dosing), extension treatment (18-week period, of which 16 weeks were open-label treatment with flexible duloxetine dosing), and a taper period (2 weeks recommended at discontinuation from study any point after Week 2).

Acute Treatment Period

StageDuloxetine/DuloxetinePlacebo/Duloxetine
STARTED140141
COMPLETED108110
NOT COMPLETED3231

Reasons for not completing this period:

ReasonDuloxetine/DuloxetinePlacebo/Duloxetine
Adverse Event76
Lack of Efficacy21
Lost to Follow-up36
Parent/caregiver decision57
Protocol Violation55
Withdrawal by Subject106

Extension Treatment Period

StageDuloxetine/DuloxetinePlacebo/Duloxetine
STARTED108110
COMPLETED8183
NOT COMPLETED2727

Reasons for not completing this period:

ReasonDuloxetine/DuloxetinePlacebo/Duloxetine
Adverse Event88
Lack of Efficacy32
Lost to Follow-up43
Protocol Violation22
Withdrawal by Subject13
Parent/Caregiver Decision88
Sponsor Decision11

Taper Period

StageDuloxetine/DuloxetinePlacebo/Duloxetine
STARTED5157
COMPLETED4654
NOT COMPLETED53

Reasons for not completing this period:

ReasonDuloxetine/DuloxetinePlacebo/Duloxetine
Adverse Event10
Lost to Follow-up22
Protocol Violation10
Parent/Caregiver Decision11

Analysis population for the primary outcome, as defined in the registry: Randomized participants with a baseline and at least 1 post-baseline PARS severity score for GAD during the acute treatment period, excluding 9 participants from 1 site with major quality issues.

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.

Population: All randomized participants, excluding 9 participants from 1 site with major quality issues.

CharacteristicUnitDuloxetine/DuloxetinePlacebo/DuloxetineTotal
Participants analysed135137272
Age, Customized: 7 to 11 yearsparticipants6266128
Age, Customized: 12 to 17 yearsparticipants7371144
Sex: Female, Male: FemaleParticipants7075145
Sex: Female, Male: MaleParticipants6562127
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants374077
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants8888176
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants10919
Race/Ethnicity, Customized: American Indian or Alaska Nativeparticipants7613
Race/Ethnicity, Customized: Asianparticipants112
Race/Ethnicity, Customized: Black or African Americanparticipants91019
Race/Ethnicity, Customized: Whiteparticipants112111223
Race/Ethnicity, Customized: More than 1 raceparticipants6915
Region of Enrollment: United Statesparticipants9899197
Region of Enrollment: Mexicoparticipants262652
Region of Enrollment: South Africaparticipants111223

6. Primary Endpoint

The registry lists the primary outcome as Change From Baseline to 10-Week Endpoint in the Pediatric Anxiety Rating Scale (PARS) Severity Score Evaluated for Symptoms Identified on the Generalized Anxiety Subsection of the PARS Symptom Checklist, measured over Baseline, 10 weeks.

ElementRegistry entry
Result typeLeast Squares Mean
Measure of spreadStandard Error
Unitunits on a scale
Endpoint classificationContinuous Endpoint

The primary endpoint is change from baseline to the 10-week endpoint in the PARS severity score for symptoms identified in the generalized anxiety subsection of the PARS symptom checklist. The endpoint summarizes symptom severity, impairment, and interference. Its score is derived by summing 5 of 7 severity, impairment, and interference items: items 2, 3, 5, 6, and 7. Each item ranges from 0 (none) to 5 (extreme), and the resulting score ranges from 0 (none) to 25 (extreme severity). A score of 15 indicates moderate illness severity.

Change is used to describe how the measured symptom burden shifts during treatment. Because the outcome is measured at baseline and at the 10-week endpoint, the comparison focuses on average change over the acute-treatment period. A negative change represents a reduction in the score, and the group difference indicates how the average change in the duloxetine group compares with the average change in the placebo group. The endpoint does not directly measure every aspect of GAD or functioning, so the other registered outcomes address complementary questions.

The registry reports least-squares means from a mixed-effects model for repeated measures. These are model-adjusted average changes, not simple raw averages. The adjustment variables are described in the statistical interpretation and methods discussion. The registry record does not report a minimum clinically important difference for this score; the observed numerical contrast should therefore be interpreted as a difference on the scale, not as proof of a particular level of clinical importance.

7. Results Posted in the Registry

Mean difference: Duloxetine (Acute Treatment)

-2.65

95% CI: -4.04 to -1.26

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals-11.1-10.0-8.9-7.8-6.7-5.6Duloxetine (Acute Treatment) (n=135)Placebo (Acute Treatment) (n=133)units on a scale (95% CI)
Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Duloxetine (Acute Treatment)-4.36-3.42-2.49-1.55-0.610.32mean difference 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
Response Rate at Endpoint for Generalized Anxiety Disorder (GAD) Using Pediatric Anxiety Rating Scale (PARS) Severity Score for GADBinary EndpointRisk difference+14.3 pts (2.5 to 26.0)189 per arm
Change From Baseline to 10-Week Endpoint on the Pediatric Anxiety Rating Scale (PARS) Severity Total Score Evaluated for All Symptoms Identified on the PARS Symptom Checklist SymptomsContinuous EndpointMean difference-2.79 (-4.11 to -1.47)62 per arm
Change From Baseline to 10-Week Endpoint on the Clinical Global Impression of Severity (CGI-S) ScaleContinuous EndpointMean difference-0.55 (-0.86 to -0.24)90 per arm

Response Rate at Endpoint for Generalized Anxiety Disorder (GAD) Using Pediatric Anxiety Rating Scale (PARS) Severity Score for GAD

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Duloxetine (Acute Treatment)-2.083.9610.00162228risk difference (percentage points) vs control (95% CI)

Change From Baseline to 10-Week Endpoint on the Pediatric Anxiety Rating Scale (PARS) Severity Total Score Evaluated for All Symptoms Identified on the PARS Symptom Checklist Symptoms

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Duloxetine (Acute Treatment)-4.44-3.49-2.53-1.58-0.630.33mean difference vs control (95% CI)

Change From Baseline to 10-Week Endpoint on the Clinical Global Impression of Severity (CGI-S) Scale

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Duloxetine (Acute Treatment)-0.93-0.73-0.53-0.33-0.130.07mean difference vs control (95% CI)

The posted numeric secondary results cover a response outcome and additional symptom-severity outcomes. In broad direction, these results align with the primary finding: the duloxetine group has a higher reported response percentage and larger reported reductions on the additional continuous scales. These measures address related aspects of the clinical question, but they are distinct endpoints with different definitions and scales; they should not be treated as repetitions of the primary endpoint.

The registry record lists 13 secondary outcomes, including response, remission, functioning, global severity, treatment-emergent suicidal ideation and behavior, and a later PARS assessment during the extension. Numerical results for outcomes beyond those with posted numeric results are not reported in the registry record. The list of planned or registered measures therefore should not be mistaken for a complete set of numerical findings.

Unadjusted secondary comparisons carry less evidential weight than the designated primary result when many outcomes are examined. In general, testing multiple outcomes increases the chance that at least one comparison will appear statistically notable even if there is no true difference for that outcome. A multiplicity procedure can address this issue, but one is not reported in the registry record. The available secondary results are therefore best viewed as supportive context, not as a set of independent confirmations.

The registry record does not report a hierarchy for testing secondary outcomes, adjustment of their p-values, or a single confirmatory interpretation across them. Response, symptom scores, functioning, safety measures, and extension outcomes also answer different questions and may have different analysis populations. Without a reported multiplicity plan and complete numerical results, the overall secondary pattern cannot establish the certainty of every individual outcome. It is most appropriately read alongside, rather than in place of, the primary PARS comparison.

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

9. Statistical Interpretation

Clinical Biostats interpretation

For the primary endpoint, the registry reports a least-squares mean change of -9.7 in the duloxetine group and -7.05 in the placebo group. The reported least-squares mean difference is -2.65, with a 95% confidence interval from -4.03 to -1.27 and p < 0.001. Since lower PARS severity scores represent less severe symptoms, both group estimates describe reductions from baseline, and the estimated average reduction was larger in the duloxetine group. This is a statistical description of the registered outcome, not a recommendation or a conclusion about treatment for an individual.

The confidence interval is entirely on the negative side of zero, which is consistent with a difference favoring a larger reduction in the duloxetine group under the model and coding used. The p-value indicates that the reported comparison is statistically incompatible with a zero difference under the model's null hypothesis at conventional levels. It does not quantify the probability that the null hypothesis is true, nor does it establish that the size of the difference is important to every participant.

The comparison is adjusted using a repeated-measures model that includes baseline, pooled investigator, age category, visit, treatment, treatment-by-visit, age-category-by-visit, and baseline-by-visit terms. As a result, the reported estimate is not simply the difference between the two displayed group changes calculated without adjustment. The result pertains to the primary PARS outcome over the acute treatment period and to the analysis population specified in the registry.

The observed group changes should also be read in relation to the scale. The registry describes a possible range from 0 to 25 and notes that 15 indicates moderate illness severity, but it does not supply an individual-level threshold for meaningful change. A group average cannot show how consistently participants changed, how outcomes varied between individuals, or whether a particular participant improved. It also cannot establish persistence beyond the 10-week endpoint.

Other posted outcome results are broadly aligned with the direction of the primary finding: the reported secondary comparisons include a higher response percentage and larger reductions on other symptom measures in the duloxetine group. Those outcomes are not interchangeable with the primary PARS endpoint, and the registry record does not report a multiplicity adjustment for the family of secondary comparisons. Their unadjusted results should consequently be treated as supportive and exploratory rather than as independent confirmation carrying the same weight as the prespecified primary comparison. The record does not report a formal multiplicity strategy or a clinically important difference threshold for the primary score.

10. Statistical Methods Explained

The primary analysis used a mixed-effects model for repeated measures (MMRM). In general, this type of model analyzes measurements collected at multiple visits while accounting for their relationship within a participant. It can use participants' available outcome measurements without requiring every participant to have a complete set of visits. The method depends on assumptions about the outcome data and the pattern of missingness; the registry record does not report a missing-data sensitivity analysis or a specific imputation procedure.

What does the adjusted mean represent?

The registry reports least-squares (LS) mean changes. In general, an LS mean is a model-based estimate adjusted for variables included in the statistical model. It is not necessarily the same as the arithmetic average of observed participant scores. Here, the reported model included baseline, pooled investigator, age category, visit, treatment, treatment-by-visit, age-category-by-visit, and baseline-by-visit terms. This lets the estimated treatment contrast account for the listed factors and for how some of them relate to visit.

The treatment-by-visit term allows the modeled treatment contrast to vary across visits. The baseline-by-visit term allows the relationship between baseline score and outcome to vary across visits. In general, including such terms can reflect the repeated measurement structure and the planned adjustment, but the registry record does not provide the full model specification, covariance structure, estimation details, or diagnostic checks. Those details are not reported in the registry record.

How should the group contrast be read?

The primary result is a mean difference in change: the modeled change for duloxetine compared with the modeled change for placebo. The reported difference is -2.65. The negative sign follows the score-change coding; because reductions in PARS severity are negative changes, the estimate indicates a larger modeled reduction in the duloxetine group. It is not a difference in the number of participants responding, and it is not a ratio.

The registry also gives standard errors for the two arm-level LS mean changes. In general, a standard error describes the estimated sampling uncertainty of an estimate; it is not the spread of individual participant outcomes. The reported confidence interval for the group contrast is more directly useful for judging the precision of the estimated difference. The re-calculated comparison uses the posted group summaries and an approximate pooled standard deviation, so it is an unadjusted calculation from summaries rather than a reproduction of the sponsor's full repeated-measures model.

What does a p-value say?

In general, a p-value measures how unusual data at least as incompatible with a specified null hypothesis would be if that hypothesis and the statistical model were true. It does not measure the probability that a treatment has no effect, the probability that the result occurred by chance, or the size or importance of an effect. The sponsor reports p < 0.001 for the primary comparison. That finding is evidence against a zero treatment contrast under the reported model, but it must be read alongside the estimated difference, its confidence interval, the outcome definition, and the analysis population.

The sponsor's model-based analysis and the simple recalculation answer related but not identical statistical questions. MMRM adjusts for the listed covariates and repeated measurements; the summary-based recalculation does not recreate that adjustment. The estimates agree closely at the displayed precision, and the registry does not flag a discrepancy. The sponsor's model result is therefore the direct reported analysis for the endpoint; the recalculation offers a check based on posted summary statistics, not a replacement for the model.

Why can over-dispersion matter?

For general statistical context, binary outcomes are often modeled under assumptions about the variability of event counts. Over-dispersion means that the observed variability is greater than the model assumes. If it is not accounted for, standard errors can be too small and confidence intervals or p-values can overstate precision. This general issue is not a claim that over-dispersion occurred in this trial. The registry record does not describe an over-dispersion assessment or a specific model for the secondary response outcome.

For continuous outcomes, the analysis still depends on how well the model represents the repeated measurements and their uncertainty. The registry record does not report residual diagnostics, sensitivity analyses, or detailed handling of protocol deviations. Readers should distinguish the stated primary model and result from analytic choices that are not documented in the registry record.

11. Confidence Intervals and Precision

The sponsor reports a 95% confidence interval from -4.03 to -1.27 for the primary least-squares mean difference of -2.65. In general, a confidence interval describes a range of values compatible with the data and the statistical model at the stated confidence level. It communicates uncertainty around the estimate; it is not a range containing a fixed proportion of individual participant outcomes and does not guarantee that the true effect lies within those particular limits.

The interval lies entirely below zero, consistent with a larger mean reduction in the duloxetine group under the outcome's coding. Its width also shows that the exact size of the group difference is not known with certainty. Values nearer either limit remain compatible with the model-based analysis. The interval does not determine whether the difference is clinically important, since a threshold for clinically meaningful change is not reported in the registry record.

A recalculation from the posted summary statistics gives a 95% interval from -4.039 to -1.261. This is a simple, unadjusted re-calculation and not the sponsor's MMRM result. The sponsor's reported interval is based on the registered mixed-model analysis and should be used when describing that analysis. The small differences in displayed limits are consistent with the distinction between the methods and their reported rounding; the registry does not flag a discrepancy.

Precision is specific to this endpoint, time point, model, and analysis population. It does not describe uncertainty for every secondary outcome, nor does it address possible bias from missing data or site exclusion. The registry record does not report sensitivity analyses that would show how the interval changes under alternative assumptions.

12. Planning a Similar Trial: Sample Size

This is a planning illustration, not a re-evaluation of the original trial. It asks: if a new study wanted to detect a difference like the one observed, or a smaller one, how large would it need to be? It is deliberately not “observed power” of the finished trial, which is not a meaningful quantity.

Effect to detectParticipants per arm, 80% powerParticipants per arm, 90% power
100% of the observed effect76101
75% of the observed effect134179
50% of the observed effect301403
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect501002005001,00040%60%80%100%80% power90% powersize of effect to detect, as % of the effect observed (log vertical scale: participants per arm)
Method and assumptions. Two-sided α = 0.05, 1:1 allocation, two-sample comparison of means with the pooled standard deviation. Standard deviation was approximated from model-based standard errors, so treat it as rough. Calculated for the comparison: Duloxetine (Acute Treatment).

The planning figures are illustrative calculations based on the observed effect, not a reconstruction of the trial's original design. For the continuous and binary outcomes in these calculations, the figures represent participants per arm, not total events. The listed assumptions are a two-sided significance level of 0.05, equal allocation between the two arms, and a normal approximation. The calculations consider detecting the stated fraction of the observed effect.

The 80% power column gives the approximate number of participants per arm that the planning calculation says would be needed for an 80% chance of detecting the specified effect under those assumptions, if that effect and model assumptions were correct. The 90% power column describes the corresponding planning target for a 90% chance. These are design calculations, not guarantees about what a future study will find. Smaller effects require more participants to detect under the same assumptions, which is why the planning figures increase when the assumed effect is reduced from the full observed effect to a smaller fraction.

These figures are not observed power. Observed power is not a useful substitute for interpreting the estimated effect and its uncertainty after a study; the confidence interval is more informative about precision. The registry record does not report the assumptions or calculation used in the trial's original sample-size justification, so the illustrative planning values should not be taken as evidence about how the study was designed or whether it had adequate planned power.

13. How the Sample Size Is Derived

Power is the probability that a study of a given size rejects the null hypothesis when a specific true effect exists. It depends on four things: the effect to detect, the variability of the outcome, the significance level (here a two-sided α of 0.05, so z1−α/2 = 1.960) and the desired power (z1−β = 0.842 for 80% and 1.282 for 90%).

Formula

n = 2 (z1−α/2 + z1−β)2 σ2 / Δ2

n is the number of participants in each arm, Δ is the difference in means to detect and σ is the common standard deviation.

Worked calculation for this trial

  1. Observed difference Δ = -2.650; pooled standard deviation σ = 5.800.
  2. n = 2 × (1.96 + 0.842)2 × 5.8002 / -2.6502 = 75.2, rounded up to 76 participants per arm for 80% power.

The smaller-effect rows in the table above repeat the same calculation with the effect multiplied by 0.75 and 0.5 (for ratios, applied to the logarithm of the ratio).

R code

alpha <- 0.05
z_a   <- qnorm(1 - alpha / 2)          # two-sided
delta <- -2.65                      # observed difference in means
sigma <- 5.79984196051214                     # pooled standard deviation
n_per_arm <- function(power, frac = 1) {
  ceiling(round(2 * (z_a + qnorm(power))^2 * sigma^2 / (delta * frac)^2, 6))
}
for (f in c(1, 0.75, 0.5))
  cat(sprintf("%3.0f%% of observed effect: n per arm = %s (80%% power), %s (90%% power)\n", 100 * f,
              format(n_per_arm(0.80, f), big.mark = ","), format(n_per_arm(0.90, f), big.mark = ",")))

# Check against R's built-in function (t-based, so very slightly larger)
cat("power.t.test:", round(power.t.test(delta = delta, sd = sigma, power = 0.80)$n, 1), "\n")

# Simulation: exact two-sample t-test using simulated means and variances
set.seed(1226511)
n    <- n_per_arm(0.80)
reps <- 20000
m_diff <- rnorm(reps, delta, sigma * sqrt(2 / n))             # difference in sample means
s2     <- sigma^2 * rchisq(reps, 2 * (n - 1)) / (2 * (n - 1))   # pooled sample variance
tstat  <- m_diff / sqrt(s2 * 2 / n)
cat(sprintf("Simulated power at n = %s per arm: %.3f (%d replicates)\n", format(n, big.mark = ","), mean(abs(tstat) > qt(0.975, 2 * (n - 1))), reps))

Output from running the code

100% of observed effect: n per arm = 76 (80% power), 101 (90% power)
 75% of observed effect: n per arm = 134 (80% power), 179 (90% power)
 50% of observed effect: n per arm = 301 (80% power), 403 (90% power)
power.t.test: 76.2 
Simulated power at n = 76 per arm: 0.801 (20000 replicates)

The simulation draws many sets of group means and variances at the planned sample size and counts how often the two-sample t-test rejects the null. It should land close to the target power; at very small required sample sizes it can fall below it, because the normal approximation is rough there.

14. Analyses Reported by the Sponsor

MethodEstimate95% CIP-value
Mixed Models AnalysisLeast squares (LS) mean difference -2.65-4.03 to -1.27< 0.001

The sponsor's primary analysis is a mixed-model analysis of repeated measurements. It reports an LS mean difference of -2.65, a 95% confidence interval from -4.03 to -1.27, and p < 0.001. The summary-based recalculation also estimates a difference of -2.65 and gives an interval from -4.039 to -1.261. The registry does not flag a discrepancy between the calculations.

The two intervals are not identical because the recalculation is a simple, unadjusted calculation from posted summary statistics, whereas the sponsor's estimate comes from its specified repeated-measures model. The sponsor's reported model analysis is the result to use when describing the trial's primary analysis; the recalculation is a supplementary check and does not reproduce the full model. The difference in interval limits should not be read as an independent trial result.

The sponsor's model includes baseline and other listed covariates, along with visit and interaction terms. Those adjustments and the use of repeated observations are not represented by a calculation based only on arm summaries. Thus, agreement in the estimated contrast does not make the two approaches methodologically interchangeable. The registry record does not provide enough model detail to independently reproduce the sponsor's analysis fully.

15. Multiplicity, Missing Data and Analysis Populations

The registry record identifies a primary endpoint and several secondary outcomes, but a formal multiplicity strategy is not reported in the registry record. Multiplicity concerns arise when statistical tests are conducted across several outcomes, visits, or comparisons: the more results examined, the greater the opportunity for apparently notable findings to occur by chance. In general, prespecifying a testing sequence or adjusting significance levels can help control that risk. Neither a testing hierarchy nor an adjustment procedure is reported for the secondary outcomes.

The primary result should therefore be distinguished from the secondary findings. Its status as the designated primary endpoint gives it a different role in the trial's statistical interpretation, while unadjusted secondary results remain less conclusive. The registry record also does not report whether other outcomes or analyses were examined but not posted, so the full scope of all analyses cannot be established from this record.

The primary analysis population is described as randomized participants who had a baseline and at least 1 post-baseline PARS severity score during acute treatment, excluding 9 participants from 1 site because of major quality issues. The registry record does not describe the missing-data pattern, the reasons for missing outcome measurements, or sensitivity analyses for alternative missing-data assumptions. MMRM is a repeated-measures method, but its use does not remove the need to consider assumptions about missingness.

The record does not report whether the primary analysis used an intention-to-treat population as a formal analysis set, how protocol deviations were handled, or whether other analysis populations were used. It also does not report how missing secondary outcomes were handled. These omissions limit assessment of how robust results are to analytic choices; they do not, on their own, establish that the reported analysis is biased.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Duloxetine11350.7%
Placebo01370.0%
Duloxetine/Duloxetine-Extension Treatment21041.9%
Placebo/Duloxetine-Extension Treatment21061.9%
Duloxetine-Taper1971.0%
Placebo-Taper1714.3%
Participants with at least one serious adverse event
Serious adverse events by armDuloxetine0.7%Placebo0.0%Duloxetine/Duloxetine-Extensi…1.9%Placebo/Duloxetine-Extension …1.9%Duloxetine-Taper1.0%Placebo-Taper14.3%% of participants with at least one serious adverse event

Other (non-serious) adverse events

Participants with at least one non-serious event at or above the registry's 2% reporting threshold.

ArmParticipants affected of at risk
Duloxetine106 of 135
Placebo90 of 137
Duloxetine/Duloxetine-Extension Treatment73 of 104
Placebo/Duloxetine-Extension Treatment73 of 106
Duloxetine-Taper12 of 97
Placebo-Taper1 of 7

Most frequent serious adverse event terms

Event termOrgan systemDuloxetinePlaceboDuloxetine/Duloxetine-Extension TreatmentPlacebo/Duloxetine-Extension TreatmentDuloxetine-TaperPlacebo-Taper
Suicidal ideationPsychiatric disorders1 of 1350 of 1371 of 1040 of 1061 of 971 of 7
AdenoiditisInfections and infestations0 of 1350 of 1371 of 1040 of 1060 of 970 of 7
TonsillitisInfections and infestations0 of 1350 of 1371 of 1040 of 1060 of 970 of 7
Acute psychosisPsychiatric disorders0 of 1350 of 1370 of 1041 of 1060 of 970 of 7
Bipolar disorderPsychiatric disorders0 of 1350 of 1370 of 1041 of 1060 of 970 of 7
Self-injurious ideationPsychiatric disorders1 of 1350 of 1370 of 1040 of 1060 of 970 of 7

Most frequent non-serious adverse event terms

Event termOrgan systemDuloxetinePlaceboDuloxetine/Duloxetine-Extension TreatmentPlacebo/Duloxetine-Extension TreatmentDuloxetine-TaperPlacebo-Taper
HeadacheNervous system disorders27 of 13523 of 13713 of 10411 of 1063 of 970 of 7
NauseaGastrointestinal disorders28 of 1358 of 13710 of 10413 of 1061 of 970 of 7
VomitingGastrointestinal disorders22 of 13510 of 1375 of 1046 of 1060 of 970 of 7
Decreased appetiteMetabolism and nutrition disorders20 of 1357 of 1371 of 1049 of 1060 of 970 of 7
Abdominal pain upperGastrointestinal disorders13 of 1359 of 1375 of 1047 of 1062 of 970 of 7
SomnolenceNervous system disorders16 of 1359 of 1373 of 1048 of 1060 of 970 of 7
FatigueGeneral disorders11 of 1356 of 1374 of 1049 of 1060 of 970 of 7
NasopharyngitisInfections and infestations4 of 13512 of 1374 of 1045 of 1060 of 970 of 7
DizzinessNervous system disorders10 of 1352 of 1375 of 1047 of 1061 of 970 of 7
InsomniaPsychiatric disorders12 of 1357 of 1371 of 1043 of 1060 of 970 of 7

Serious events with the highest arm-level rate: suicidal ideation (14.3%), adenoiditis (1.0%), tonsillitis (1.0%), acute psychosis (0.9%), bipolar disorder (0.9%).

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 registry lists serious adverse events by treatment group and period. In the acute-treatment groups, serious adverse events affected 1 of 135 participants at risk in the duloxetine group and 0 of 137 at risk in the placebo group. During the extension, the record lists 2 of 104 in the duloxetine/duloxetine-extension group and 2 of 106 in the placebo/duloxetine-extension group. In the taper groups, it lists 1 of 97 and 1 of 7, respectively. These are counts of participants with serious adverse events, not estimates of treatment effect.

The registry also lists serious-event terms with percentages, including suicidal ideation at 14.3%, but the denominator and context for those percentages are not reported in the registry record. The percentages should not be read as rates for a particular randomized arm without that information. Death counts are not reported in the registry record.

Serious adverse event counts do not establish whether an event was caused by treatment. The record does not provide a causal assessment in the registry record, and the small group counts do not support precise comparisons. The different treatment periods and group definitions should be kept separate rather than combined into a single safety comparison.

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

The primary result describes a statistically distinguishable difference in average change on the specified PARS severity score over the 10-week acute-treatment period. The estimated change was more negative in the duloxetine group than in the placebo group, and the sponsor's confidence interval lies below zero. This is evidence about a group-level outcome under the reported analysis, not a prediction of an individual participant's experience.

The result does not show that every participant improved, that the improvement was equally large across participants, or that the observed average difference meets a threshold of clinical importance. The registry record does not report a minimum clinically important difference for the primary measure. Nor does the result establish how durable the difference is after the 10-week endpoint, even though an extension is described. A later endpoint requires its own reported results and analysis.

The finding also does not by itself establish a complete benefit-risk assessment. Safety outcomes are recorded separately and include different treatment periods and group definitions. Their counts require cautious interpretation and do not establish causation. Secondary outcomes add context but, without a reported multiplicity strategy and complete numerical results, they should not be treated as multiple independent confirmations.

Finally, the finding applies to the measured population, outcome, and model. The registry record describes an analysis population with baseline and post-baseline measurements and excludes participants from a site with major quality issues. Eligibility details and sensitivity analyses are not reported in the registry record. The result should therefore be understood as a finding from this trial's registered comparison, not automatically generalized to every child or adolescent with GAD or to other treatment settings.

18. Why This Trial Matters Statistically

This trial illustrates why a primary endpoint, analysis population, and model need to be read together. A change score may appear straightforward, but the reported estimate is a model-adjusted least-squares mean difference derived from repeated measurements, not simply an unadjusted subtraction of two raw group averages. Knowing the model terms helps explain what the sponsor's estimate represents and why a summary-based recalculation is only a check rather than a full reproduction.

It also shows the value of reporting uncertainty alongside a p-value. The primary estimate is accompanied by a confidence interval, which communicates a range of plausible effects under the model and makes the degree of precision visible. Statistical evidence against a zero difference and the practical importance of the difference are separate considerations; the registry does not report a threshold for clinically meaningful change on this measure.

The registry lists numerous secondary outcomes, making multiplicity a practical interpretive issue. A consistent direction across related outcomes can add context, but unadjusted secondary findings do not all carry the same evidential weight as a designated primary result. Missing-data assumptions and the stated site exclusion also matter when judging what population the analysis represents.

Finally, the study record makes clear that efficacy and safety evidence come from different outcome summaries and treatment periods. Keeping those distinctions intact is essential: counts of serious events are not an efficacy comparison, and an acute-treatment efficacy endpoint does not describe the later extension. These principles apply broadly to the statistical reading of clinical trials.

19. Limitations

The registry record leaves important details unavailable for independent assessment. It does not report the original sample-size justification, its assumptions, or an interim-analysis plan. The illustrative planning calculations based on observed effects cannot fill that gap. Detailed randomization procedures and the identities of the parties masked are also not reported in the registry record.

The primary analysis excluded 9 participants from 1 site because of major quality issues. The record does not describe the nature of those issues, the timing or rationale for the exclusion, or sensitivity analyses that include or otherwise address that site. The analysis population also required baseline and post-baseline measurements. Missing-data amounts, patterns, reasons, and sensitivity analyses are not reported in the registry record.

Although the MMRM adjustment variables are specified, the full model details are not: covariance structure, diagnostic checks, and further estimation details are not reported in the registry record. The record does not report a clinically important difference threshold for the primary score. This limits interpretation of the magnitude beyond its position on the scale and its statistical uncertainty.

The registry lists 13 secondary outcomes, but numerical findings for all those outcomes are not reported in the registry record. A multiplicity strategy is also not reported, so secondary results have to be interpreted cautiously. Safety figures span acute treatment, extension, and taper groups; these are not one uniform comparison, and the causal relationship of events to treatment is not established by the counts alone. The percentages attached to listed serious-event terms have no denominator or group context reported in the registry record.

Finally, the primary outcome concerns a 10-week endpoint. The record describes an 18-week extension but the primary result does not establish longer-term persistence. Specific age eligibility limits are not reported in the registry record, which constrains assessment of how broadly the pediatric findings apply.

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23. Record Summary

The registry record describes a completed randomized, parallel-group Phase 3 study of duloxetine versus placebo in children and adolescents with GAD. The blinded acute-treatment period lasted 10 weeks, with flexible once-daily duloxetine dosing of 30-120 mg and an 18-week extension described after the blinded period. The record lists 281 participants enrolled.

The primary outcome was change from baseline to the 10-week endpoint in the GAD-related PARS severity score. The sponsor's MMRM analysis reported a least-squares mean difference of -2.65, with a 95% confidence interval from -4.03 to -1.27 and p < 0.001. The primary analysis population required baseline and at least 1 post-baseline score and excluded 9 participants from 1 site for major quality issues.

The record also lists secondary efficacy, functioning, and safety outcomes. A formal multiplicity strategy, the original sample-size assumptions, detailed missing-data sensitivity analyses, and numerical results for all registered secondary outcomes are not reported in the registry record.

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