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Atopic Dermatitis Phase 2 Continuous Endpoint NCT03443024

A Study of Lebrikizumab (LY3650150) in Participants With Moderate-to-Severe Atopic Dermatitis: Complete Statistical Analysis

This analysis examines a phase 2 randomized, placebo-controlled trial of lebrikizumab for moderate-to-severe atopic dermatitis. It focuses on the Week 16 change in EASI, the sponsor’s reported comparisons, selected secondary outcomes, and how to interpret the posted precision and safety information.

Trial start: 2018-01-30  ·  Enrollment: 280  ·  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 of Lebrikizumab (LY3650150) in Participants With Moderate-to-Severe Atopic Dermatitis (NCT03443024), a randomized phase 2 study. The primary outcome is Percent Change From Baseline in Eczema Area and Severity Index (EASI).

280
Enrollment
Phase 2
4
Arms
In the primary outcome
-21.22
Mean difference
125 mg Lebrikizumab (Q4W)
-39.51–-2.93
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT03443024
PhasePhase 2
ConditionAtopic Dermatitis
AllocationRandomized
Design modelParallel
MaskingTriple
Enrollment280
Arms in the primary outcome4
Lead sponsorEli Lilly and Company
Results postedYes

2. Clinical Question

Population

The trial enrolled participants with moderate-to-severe atopic dermatitis. The primary outcome population was defined as randomized participants who received at least one dose of study drug and had Week 16 EASI data. The registry record reports enrollment of 280 participants; it does not describe further eligibility details in the information available for this analysis.

Intervention

Three lebrikizumab regimens were evaluated: 125 mg every 4 weeks, 250 mg every 4 weeks, and 250 mg every 2 weeks. The posted arm descriptions specify subcutaneous administration and include loading doses and placebo injections as part of the dosing schedules. This was a dose-ranging study, so the comparisons address more than one lebrikizumab regimen.

Comparator

The comparator was placebo administered subcutaneously every 2 weeks. The design was randomized, double-blind in the official title, and identified as triple-masked in the registry record. The posted primary comparisons evaluate each lebrikizumab regimen against the placebo group.

Primary question

The primary question was how the Week 16 percent change from baseline in EASI differed between each lebrikizumab regimen and placebo. EASI combines assessments of disease extent and clinical signs. The registry reports adjusted least-squares means from an analysis of covariance, while the recalculated comparisons use posted summary statistics and are unadjusted. The sponsor’s own analysis takes precedence where the recalculated and reported analyses differ.

3. Trial Design

This was a phase 2, randomized, parallel-group, placebo-controlled, dose-ranging trial of lebrikizumab in participants with moderate-to-severe atopic dermatitis. The registry record describes the study as completed, with enrollment of 280. Its start date is 2018-01-30 and its primary completion date is 2019-02-07. The official title calls the study double-blind, while the registry masking field describes it as triple-masked.

Participants were assigned to one of three lebrikizumab regimens or placebo: 125 mg every 4 weeks, 250 mg every 4 weeks, 250 mg every 2 weeks, or placebo every 2 weeks. The arm descriptions identify subcutaneous administration and describe loading and placebo injections intended to accompany the different schedules. The available description of the 125 mg regimen ends before the full schedule is stated, so additional dosing details for that arm are not reported in the registry record.

The primary outcome was percent change from baseline in EASI at Week 16. The primary analysis population included randomized participants who received at least one dose and had Week 16 EASI data. The registry describes an analysis of covariance with treatment as a factor and baseline EASI as a covariate, and says missing values were imputed using Markov Chain Monte Carlo multiple imputation.

The registry record does not report the trial’s original sample-size justification or the assumptions used to design the trial. It also does not report interim-analysis details or a full statistical analysis plan in the information available for this analysis. The planning illustrations associated with the recalculated comparisons are separate from the trial’s original design.

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

Stage125 Milligrams (mg) Lebrikizumab - Every 4 Weeks (Q4W)250 mg Lebrikizumab (Q4W)250 mg Lebrikizumab - Every 2 Weeks (Q2W)Placebo
STARTED73807552
Received at Least One Dose of Study Drug73807552
COMPLETED52495620
NOT COMPLETED21311932

Reasons for not completing this period:

Reason125 Milligrams (mg) Lebrikizumab - Every 4 Weeks (Q4W)250 mg Lebrikizumab (Q4W)250 mg Lebrikizumab - Every 2 Weeks (Q2W)Placebo
Adverse Event2431
Lost to Follow-up9975
Withdrawal by Subject815923
Physician Decision1201
Sponsor Decision1100
Protocol Deviation0002

Analysis population for the primary outcome, as defined in the registry: All randomized participants who received at least one dose of study drug and had Week 16 EASI data.

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.

CharacteristicUnit125 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q2W)PlaceboTotal
Participants analysed73807552280
Age, Continuousyears36.7 (SD 16.54)40.2 (SD 17.88)38.9 (SD 17.36)42.2 (SD 18.21)39.3 (SD 17.48)
Sex: Female, Male: FemaleParticipants46474924166
Sex: Female, Male: MaleParticipants27332628114
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants141112542
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants59696347238
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants00000
Race (NIH/OMB): American Indian or Alaska NativeParticipants11103
Race (NIH/OMB): AsianParticipants876627
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants00000
Race (NIH/OMB): Black or African AmericanParticipants2628231693
Race (NIH/OMB): WhiteParticipants37424026145
Race (NIH/OMB): More than one raceParticipants125412
Race (NIH/OMB): Unknown or Not ReportedParticipants00000
Region of Enrollment: United StatesParticipants73807552280
Eczema Area and Severity Index (EASI)units on a scale29.85 (SD 13.517)26.15 (SD 10.135)25.48 (SD 11.206)28.90 (SD 11.790)27.45 (SD 11.764)

6. Primary Endpoint

The registry lists the primary outcome as Percent Change From Baseline in Eczema Area and Severity Index (EASI), measured over Baseline, Week 16.

ElementRegistry entry
Result typeLeast Squares Mean
Measure of spreadStandard Deviation
Unitpercent change
Endpoint classificationContinuous Endpoint

The primary endpoint is percent change from baseline in the Eczema Area and Severity Index, or EASI, at Week 16. EASI is a clinician-assessed measure that combines the extent of atopic dermatitis over body regions with the severity of four clinical signs: erythema, edema or papulation, excoriation, and lichenification. Each sign is assessed at the head and neck, trunk, upper limbs, and lower limbs. The registry describes a scoring system in which the final score ranges from 0 to 72, with higher scores indicating more severe disease.

Percent change expresses the Week 16 EASI result relative to the participant’s baseline score. The posted arm means are negative, indicating decreases relative to baseline on average. Comparing those means across randomized groups gives a way to examine whether the average change differed among the treatment regimens and placebo during the trial period.

EASI is used because it combines clinical assessments of both disease extent and signs rather than measuring just one feature. It is not a direct measure of every experience important to participants. The trial also listed secondary outcomes relating to investigator assessment, EASI thresholds, sleep loss, and pruritus, but those outcomes do not replace the defined primary endpoint.

The primary outcome is reported as a least-squares mean from an analysis of covariance that included baseline EASI as a covariate. This adjustment accounts statistically for baseline EASI in estimating treatment-group means. It does not make the outcome a measure of change beyond the Week 16 timeframe stated in the registry.

7. Results Posted in the Registry

Mean difference: 125 mg Lebrikizumab (Q4W)

-21.22

95% CI: -39.51 to -2.93

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals-86.1-72.7-59.4-46.1-32.7-19.4125 mg Lebrikizumab (Q4W) (n=73)250 mg Lebrikizumab (Q4W) (n=80)250 mg Lebrikizumab (Q2W) (n=75)Placebo (n=52)percent change (95% CI)
Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)125 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q2W)-53-42-30-19-7.483.94mean 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
Percentage of Participants With a 75% Improvement From Baseline in EASI (EASI75) at Week 16Binary EndpointRisk difference+18.8 pts (2.5 to 35.2)99 per arm
Percentage of Participants With an Investigator Global Assessment (IGA) Score of 0 (Clear) or 1 (Almost Clear) and a Reduction ≥2 Points From Baseline to Week 16 (5-point Scale)Binary EndpointRisk difference+10.6 pts (-3.4 to 24.7)227 per arm
Percentage of Participants With EASI <7 at Week 16Binary EndpointRisk difference+13.6 pts (-3.1 to 30.4)193 per arm

Percentage of Participants With a 75% Improvement From Baseline in EASI (EASI75) at Week 16

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)125 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q4W)-3.787.1918294051risk difference (percentage points) vs control (95% CI)

Percentage of Participants With an Investigator Global Assessment (IGA) Score of 0 (Clear) or 1 (Almost Clear) and a Reduction ≥2 Points From Baseline to Week 16 (5-point Scale)

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)125 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q4W)-6.292.0710192736risk difference (percentage points) vs control (95% CI)

Percentage of Participants With EASI <7 at Week 16

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)125 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q4W)-7.274.7617294153risk difference (percentage points) vs control (95% CI)

Across the posted secondary outcomes, the arm-level percentages generally follow a pattern in which the lebrikizumab groups have higher values than placebo for the listed Week 16 responder or threshold outcomes. The available secondary results also include sleep-loss and pruritus measures, but a complete set of numerical results for those outcomes is not included in the posted secondary summaries described in the record. The overall pattern is broadly consistent with the direction of the primary EASI comparison: the posted group summaries tend to favor a larger change or a greater proportion meeting the specified endpoint in lebrikizumab groups.

That broad pattern should not be treated as a single, uniform confirmatory finding. Secondary endpoints measure different features, use different scales, and may have different analysis populations or methods. A threshold outcome such as EASI75 does not convey the same information as a continuous mean change in EASI. Nor should percentages across different endpoints be directly compared as though they measured the same quantity.

The registry lists 11 posted secondary outcomes, and the record includes analyses across multiple treatment comparisons. When many outcomes and comparisons are examined, the chance of at least one apparently notable result can increase unless the analysis accounts for multiplicity. The multiplicity approach is not reported in the registry record. The recalculated secondary p-values are unadjusted, and the sponsor’s reported tests are available only for some of the listed outcomes. Accordingly, these findings carry less inferential weight than the prespecified primary result unless the analysis plan establishes how they were intended to support inference.

Secondary outcomes can still add context by showing whether the primary result is accompanied by changes in other assessed dimensions. They should be read as complementary evidence, with attention to endpoint definitions, missing results, and the distinction between sponsor analyses and unadjusted recalculations. The registry record does not justify treating every secondary comparison as independently confirmatory.

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

9. Statistical Interpretation

Clinical Biostats interpretation

At Week 16, the posted mean percent change from baseline in EASI was -62.34 for 125 mg lebrikizumab every 4 weeks, -69.21 for 250 mg every 4 weeks, -72.09 for 250 mg every 2 weeks, and -41.12 for placebo. These are group summaries for the primary analysis population. More negative values represent a larger average decrease from baseline on this percent-change scale.

The recalculated unadjusted mean differences versus placebo were -21.22 for 125 mg every 4 weeks, -28.09 for 250 mg every 4 weeks, and -30.97 for 250 mg every 2 weeks. Their associated recalculated intervals were -39.51 to -2.929, -46.31 to -9.873, and -49.2 to -12.74, respectively. The recalculated unadjusted p-values were 0.023, 0.003, and <0.001. These are simple comparisons reconstructed from posted summary statistics; they are not the sponsor’s adjusted ANCOVA results.

The registry reports sponsor analyses using ANCOVA, with p-values of 0.017 for 125 mg every 4 weeks versus placebo, 0.002 for 250 mg every 4 weeks versus placebo, and 0.001 for 250 mg every 2 weeks versus placebo. For the first comparison, the registry does not give a confidence interval in the posted analysis record; for the other two it identifies a 95% confidence interval but does not provide its endpoints. The sponsor’s own analysis takes precedence over the recalculated results.

The pattern of group means and reported analyses indicates that the lebrikizumab groups had more negative average EASI percent changes than placebo at Week 16. The size and precision of the estimated differences are distinct questions: a point estimate gives the estimated contrast, while an interval communicates uncertainty about that estimate. The recalculated intervals are approximate, based on posted group summaries, and should not be mistaken for the sponsor’s model-based intervals.

The result concerns a particular endpoint, population definition, comparison, and assessment time. It does not establish the result at other timepoints, in populations not represented by the primary analysis definition, or for outcomes not assessed by EASI. Nor does a statistical comparison by itself establish the clinical importance of the observed differences. The registry record does not state a threshold for a clinically important difference in EASI percent change.

10. Statistical Methods Explained

The primary analysis is described as an analysis of covariance, often abbreviated ANCOVA. In general, ANCOVA estimates group outcomes while adjusting for a covariate; in this trial, the registry says treatment was the factor and baseline EASI was the covariate. The reported least-squares means are model-adjusted group means, rather than simple averages alone. Adjustment can account for baseline score differences in the model, but the registry information does not provide enough detail to reconstruct every aspect of the sponsor’s fitted model.

What does a mean difference represent?

A mean difference compares the average outcome in one group with the average outcome in another. For the recalculated primary comparisons, the reference group is placebo. Because the outcome is percent change from baseline, a negative difference means the lebrikizumab group’s average percent change was more negative than the placebo group’s average. The value describes the estimated contrast on the outcome scale; it is not a percentage-point response rate and should not be interpreted as a ratio.

The posted comparison calculations are labelled as recalculated and are based on the arm means and standard deviations. They are unadjusted summary-statistic comparisons, whereas the registry’s own primary analyses use ANCOVA. The pooled standard deviations used in the recalculations are marked as approximate. Therefore, the recalculated intervals and p-values may not match the sponsor’s results. Since a discrepancy is flagged, the sponsor’s own analysis takes precedence for interpretation of the trial’s planned analysis.

How should the p-values be read?

A p-value describes how compatible the observed data are with a specified null model, under the assumptions of the analysis. It is not the probability that the null hypothesis is true, and it does not measure the size or clinical importance of an effect. The recalculated p-values are explicitly unadjusted. The registry lists sponsor p-values for the primary comparisons, but the full statistical plan, including any multiplicity strategy, is not reported in the registry record. That missing information limits how confidently the p-values can be interpreted across several treatment comparisons and outcomes.

What does the interval add?

A confidence interval gives a range of values compatible with the data and the method used to calculate it, at the stated confidence level when one is reported. For the recalculated primary comparisons, the posted interval endpoints are available, but the recalculated comparison record does not state a confidence level. The sponsor’s posted analysis identifies a 95% interval for two comparisons but does not include the endpoints; it does not identify an interval level for the remaining comparison. Keeping these analyses separate avoids treating approximate re-calculations as though they were the sponsor’s adjusted estimates.

For secondary binary outcomes, the recalculated comparisons use risk differences. In general, a risk difference compares the proportions meeting an outcome in two groups and expresses the contrast on the proportion scale. The posted record also includes relative risks and odds ratios for some recalculations. These are different ways of expressing binary contrasts: a relative risk compares proportions as a ratio, while an odds ratio compares odds. They are not interchangeable with a risk difference, and their interpretation depends on the outcome and baseline frequency. The sponsor’s reported secondary tests use the Cochran-Mantel-Haenszel method for the outcomes with reported analyses.

Why does over-dispersion matter?

In general, over-dispersion means that outcome variability is greater than a statistical model expects. When variability is underestimated, standard errors can be too small and intervals too narrow, making results appear more precise than they are. The primary endpoint is continuous, and the posted arm summaries include standard deviations. The registry’s stated primary model is ANCOVA; it does not report an over-dispersion adjustment. No claim about over-dispersion in this trial can be made from the registry information alone.

The primary population definition also matters. The outcome analysis includes randomized participants who received at least one dose and had Week 16 EASI data, with missing values imputed using MCMC multiple imputation. The registry does not give further details about the imputation model or the assumptions used for missing outcomes. These details affect how one evaluates the analysis, particularly when some outcome data are unavailable. The population definition and stated missing-data method should therefore be considered part of the interpretation, not incidental technical choices.

11. Confidence Intervals and Precision

The recalculated primary mean differences are accompanied by intervals that show the range of estimates compatible with the summary-statistic calculation. For 125 mg lebrikizumab every 4 weeks versus placebo, the estimate is -21.22 and the interval is -39.51 to -2.929. For 250 mg every 4 weeks, the estimate is -28.09 and the interval is -46.31 to -9.873. For 250 mg every 2 weeks, the estimate is -30.97 and the interval is -49.2 to -12.74. Each interval spans values on the same side of zero, but these are recalculated, unadjusted intervals, not the sponsor’s model-based intervals.

In general, an interval’s width reflects both the observed variability and the amount of information available for the comparison. Wider intervals indicate less precision than narrower intervals, all else equal. The posted standard deviations are substantial relative to the group means, and the arm sizes differ. These features contribute to uncertainty in group contrasts. The recalculated calculations use approximate pooled standard deviations, which is an additional reason not to treat their endpoints as exact substitutes for the sponsor’s ANCOVA results.

The registry reports sponsor p-values for the primary comparisons, but it gives interval endpoints for none of those sponsor analyses. It identifies 95% confidence intervals for two of the sponsor comparisons, without reporting their limits, and does not identify a confidence interval level for the other. The sponsor’s adjusted estimate precision therefore cannot be read from the posted summary fields. Statistical significance and precision are related but not identical: a p-value does not show the range of plausible effect sizes.

Confidence intervals do not account for every source of uncertainty. They depend on the chosen model and its assumptions, and they do not address unreported multiplicity procedures, missing-data assumptions, or whether the outcome difference is clinically important. The registry record does not report a clinical-importance threshold for the primary endpoint. Consequently, the interval should be read as uncertainty around the specified statistical contrast, not as a complete measure of certainty about all aspects of the result.

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 effect80107
75% of the observed effect142190
50% of the observed effect319426
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: 125 mg Lebrikizumab (Q4W).

The sample-size display gives planning illustrations in participants per arm for the non-time-to-event comparisons in this trial. It does not report total event counts. The calculations use a two-sided significance level of 0.05, equal allocation between two arms, and a normal approximation. For each comparison, the assumed effect is a stated fraction of the observed effect. The trial’s original sample-size assumptions are not reported in the registry record; these illustrations are calculations based on the posted observed effects, not a reconstruction of the original design.

The 80% power column gives the number of participants per arm that the planning calculation indicates would be needed to have an 80% chance of detecting the chosen effect under its assumptions. The 90% power column gives the corresponding planning number for a 90% chance. These are planning quantities, not evidence that the completed trial had that probability of detecting an effect. This is not observed power.

Rows that plan for a smaller fraction of the observed effect generally require more participants per arm than rows that plan for the full observed effect. The reason, in general, is that a smaller difference is harder to distinguish from random variation while maintaining the same target power and significance level. The figures depend on the assumptions and on the observed effect used as the starting point. They should not be read as a recommendation for a future trial without a separate design assessment.

The planning display is comparison-specific: the observed effect and variability differ among comparisons, so the resulting participant counts differ as well. It does not incorporate any trial-specific design assumptions that are absent from the registry record, and it does not establish what sample size would be appropriate for a different population, endpoint, analysis, or target effect.

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 = -21.220; pooled standard deviation σ = 47.756.
  2. n = 2 × (1.96 + 0.842)2 × 47.7562 / -21.2202 = 79.5, rounded up to 80 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 <- -21.22                      # observed difference in means
sigma <- 47.7560550154025                     # 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(3443024)
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 = 80 (80% power), 107 (90% power)
 75% of observed effect: n per arm = 142 (80% power), 190 (90% power)
 50% of observed effect: n per arm = 319 (80% power), 426 (90% power)
power.t.test: 80.5 
Simulated power at n = 80 per arm: 0.798 (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
ANCOVAnot reported0.017
ANCOVAnot reported0.002
ANCOVAnot reported< 0.001
Where the two analyses differ, rely on the sponsor's. The simple re-calculation above reaches a different conclusion from the sponsor's analysis, usually because the sponsor adjusts for covariates, stratification or repeated measures, or (for event rates) uses a negative binomial model that allows for over-dispersion and so gives wider intervals.

The registry reports the sponsor’s primary comparisons as ANCOVA analyses. Their p-values are 0.017 for 125 mg lebrikizumab every 4 weeks versus placebo, 0.002 for 250 mg every 4 weeks versus placebo, and 0.001 for 250 mg every 2 weeks versus placebo. The registry identifies the last two sponsor intervals as 95% confidence intervals, but does not report their endpoints. The interval level for the first sponsor comparison is not reported in the registry record.

The posted recalculations instead compare arm summary statistics without the baseline adjustment described for the sponsor’s ANCOVA. They use approximate pooled standard deviations and produce different unadjusted p-values: 0.023, 0.003, and <0.001 for the corresponding comparisons. The differences between the reported and recalculated results are expected to be possible because the analyses use different information and methods; the recalculation is not a reproduction of the sponsor’s model.

Because a discrepancy is flagged, the sponsor’s own analysis takes precedence. The recalculated values can help readers understand the direction and scale of the posted group summaries, but they should not replace the registry’s reported ANCOVA results. The registry record does not provide all model details or sponsor interval endpoints needed to independently verify the sponsor’s estimates.

15. Multiplicity, Missing Data and Analysis Populations

The study compares three lebrikizumab regimens with placebo on the primary endpoint and includes multiple secondary outcomes. This creates a multiplicity issue: the more statistical comparisons made, the greater the opportunity for one or more results to appear notable by chance. A prespecified strategy may control this problem by defining which tests are confirmatory and how error rates are handled. That strategy is not reported in the registry record.

The sponsor’s primary analyses are reported as ANCOVA comparisons, but the registry information does not describe a complete testing hierarchy, adjustment procedure, or other multiplicity plan. The sponsor-reported p-values therefore should be interpreted with the scope of the available record in mind. The recalculated p-values are explicitly unadjusted and should not be treated as multiplicity-controlled. The posted secondary analyses also include multiple outcomes and comparisons, while the registry reports sponsor tests for only some of them.

The primary analysis population is defined as randomized participants who received at least one dose and had Week 16 EASI data. The registry states that missing primary endpoint values were imputed using Markov Chain Monte Carlo multiple imputation. In general, multiple imputation uses repeated draws to represent uncertainty about missing values, then combines analyses across imputed datasets. The registry does not report the imputation model, variables included, number of imputations, or assumptions about the missingness process. These details are not reported in the registry record.

It is also not reported how missing data were handled for each secondary outcome, or whether sensitivity analyses assessed alternative missing-data assumptions. The registry record does not report interim-analysis details, the original sample-size justification, or a full statistical analysis plan. Those omissions prevent a complete assessment of how the endpoint hierarchy, missing outcomes, and planned testing strategy were handled. They do not invalidate the posted results, but they limit how fully readers can assess the confirmatory strength and robustness of the findings.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
125 mg Lebrikizumab (Q4W)2732.7%
250 mg Lebrikizumab (Q4W)0800.0%
250 mg Lebrikizumab (Q2W)2752.7%
Placebo2523.8%
Participants with at least one serious adverse event
Serious adverse events by arm125 mg Lebrikizumab (Q4W)2.7%250 mg Lebrikizumab (Q4W)0.0%250 mg Lebrikizumab (Q2W)2.7%Placebo3.8%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
125 mg Lebrikizumab (Q4W)0 of 73
250 mg Lebrikizumab (Q4W)0 of 80
250 mg Lebrikizumab (Q2W)0 of 75
Placebo0 of 52

Other (non-serious) adverse events

Participants with at least one non-serious event at or above the registry's 0% reporting threshold.

ArmParticipants affected of at risk
125 mg Lebrikizumab (Q4W)41 of 73
250 mg Lebrikizumab (Q4W)39 of 80
250 mg Lebrikizumab (Q2W)45 of 75
Placebo24 of 52

Most frequent serious adverse event terms

Event termOrgan system125 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q2W)Placebo
Hernial eventrationGastrointestinal disorders1 of 730 of 800 of 750 of 52
Chest painGeneral disorders0 of 730 of 801 of 750 of 52
Oedema peripheralGeneral disorders0 of 730 of 800 of 751 of 52
Periprosthetic fractureInjury, poisoning and procedural complications1 of 730 of 800 of 750 of 52
Panic attackPsychiatric disorders0 of 730 of 801 of 750 of 52
Chronic obstructive pulmonary diseaseRespiratory, thoracic and mediastinal disorders0 of 730 of 800 of 751 of 52
Pulmonary embolismRespiratory, thoracic and mediastinal disorders0 of 730 of 800 of 751 of 52

Most frequent non-serious adverse event terms

Event termOrgan system125 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q4W)250 mg Lebrikizumab (Q2W)Placebo
Upper respiratory tract infectionInfections and infestations6 of 739 of 802 of 753 of 52
NasopharyngitisInfections and infestations4 of 732 of 809 of 752 of 52
HeadacheNervous system disorders3 of 731 of 804 of 753 of 52
Injection site painGeneral disorders0 of 733 of 804 of 751 of 52
Dermatitis atopicSkin and subcutaneous tissue disorders2 of 732 of 800 of 753 of 52
Injection site erythemaGeneral disorders0 of 732 of 803 of 751 of 52
ArthralgiaMusculoskeletal and connective tissue disorders2 of 732 of 800 of 752 of 52
SinusitisInfections and infestations1 of 732 of 801 of 751 of 52
Alanine aminotransferase increasedInvestigations1 of 732 of 802 of 750 of 52
AnxietyPsychiatric disorders3 of 730 of 802 of 750 of 52

Serious events with the highest arm-level rate: oedema peripheral (1.9%), chronic obstructive pulmonary disease (1.9%), pulmonary embolism (1.9%), hernial eventration (1.4%), periprosthetic fracture (1.4%).

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 reports serious adverse events by treatment group. Serious adverse events were recorded for 2 participants in the 125 mg lebrikizumab every-4-weeks group, 0 in the 250 mg every-4-weeks group, 2 in the 250 mg every-2-weeks group, and 2 in the placebo group. The at-risk group sizes listed for these summaries are 73, 80, 75, and 52, respectively. The registry reports 0 deaths in each group.

These are descriptive counts over the reported study record. They do not by themselves establish whether a treatment caused an event or whether the groups differ in safety. Serious-event counts can be influenced by the kinds of events observed, follow-up, and the number of participants at risk; the registry record does not give enough detail to assess those factors comprehensively. The posted serious-term list includes oedema peripheral, chronic obstructive pulmonary disease, pulmonary embolism, hernial eventration, periprosthetic fracture, and chest pain, each with the percentage stated in the record. Those terms are not assigned to specific treatment groups in the posted list.

The trial’s serious adverse event figures should be considered separately from the counts for other adverse events and from efficacy comparisons. The registry information is not a complete basis for drawing broad conclusions about safety beyond the recorded events and stated follow-up.

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

The central statistical finding is a difference in Week 16 EASI percent change between the lebrikizumab groups and placebo in the posted results. The group means are more negative for each lebrikizumab regimen than for placebo. The registry’s sponsor analyses report ANCOVA comparisons, while the associated recalculations are unadjusted and approximate. Those analyses answer related but not identical statistical questions, and the sponsor’s own analysis takes precedence where the results differ.

The finding applies to the trial’s studied population, intervention schedules, comparator, outcome definition, and Week 16 assessment. The primary analysis population was restricted to randomized participants who received at least one dose and had Week 16 EASI data, with missing values handled by the stated multiple-imputation method. It does not directly describe outcomes beyond the reported timepoint or in groups not represented by that analysis population.

A statistically notable comparison is not automatically a measure of clinical importance. The registry does not report a threshold for a clinically meaningful difference in the primary endpoint, and the statistical estimates do not independently establish how participants experienced the changes. EASI assesses physician-rated disease extent and clinical signs; it is not a complete account of symptoms, daily functioning, or every other outcome relevant to participants.

The results also do not settle questions that the registry record does not address, including the trial’s original sample-size justification, detailed multiplicity strategy, full missing-data assumptions, or the sponsor’s confidence interval endpoints for the primary comparisons. The safety counts are descriptive and do not establish causality. Overall, the posted data support interpretation of a Week 16 group comparison in this phase 2 dose-ranging trial, not a broader conclusion beyond its design and recorded analyses.

18. Why This Trial Matters Statistically

This trial is statistically informative because it compares multiple dose schedules with a concurrent placebo group under randomized, masked, parallel-group conditions. Randomization is intended to support fair comparisons by reducing systematic differences between assigned groups, while masking can limit some forms of bias in treatment delivery and outcome assessment. The registry record describes the study as triple-masked and the official title as double-blind; the distinction in wording should be noted rather than resolved by assumption.

The primary endpoint is continuous and reported as percent change from baseline, with ANCOVA adjustment for baseline EASI. This makes the analysis more specific than a simple comparison of raw group changes. At the same time, the posted summary-statistic recalculations show why statistical method matters: unadjusted comparisons based on group means and variability need not reproduce a model-adjusted sponsor analysis.

The trial also illustrates the interpretive challenge of dose-ranging studies. Multiple regimens and several secondary outcomes create a broader set of comparisons than a single treatment-versus-control test. Without a reported multiplicity plan, nominal p-values require caution, especially for secondary analyses. The registry’s incomplete reporting of sponsor interval endpoints also constrains assessment of the adjusted estimates’ precision.

Finally, the distinction between observed results and planning illustrations is important. Recalculated sample-size figures use observed effects and specified hypothetical assumptions; they are not the trial’s original design rationale and are not observed power. Recognizing these differences helps separate what the data show from what additional analysis-plan details would be needed for a fuller statistical appraisal.

19. Limitations

Several limitations arise from the information reported for this trial. The registry gives the primary endpoint definition, analysis population, ANCOVA description, and missing-data method, but does not provide full details of the fitted model or imputation model. It also does not report the original sample-size justification, interim-analysis details, or a full statistical analysis plan. These omissions limit independent assessment of design assumptions and analysis choices.

The sponsor’s primary analysis record lacks interval endpoints. It identifies a 95% confidence interval for two comparisons but does not give the limits, and does not state the interval level for the remaining comparison. The recalculated intervals are based on summary statistics and approximate pooled standard deviations, rather than the sponsor’s adjusted model. They offer a secondary descriptive check, not an exact substitute.

Multiplicity is a particular concern because the trial includes three treatment comparisons and numerous secondary outcomes. The registry record does not state how multiplicity was handled. Secondary results are therefore difficult to classify as confirmatory from the available information, and not every secondary endpoint has a corresponding sponsor analysis in the posted record.

The primary analysis population requires receipt of at least one dose and Week 16 EASI data, and missing primary outcomes were imputed. The registry does not describe the assumptions behind that imputation or report sensitivity analyses. It also does not provide enough detail in this record to judge whether missingness or departures from the analysis population could affect the findings.

Finally, the study is a phase 2 trial with a Week 16 primary outcome. The reported results are tied to this design and timeframe. The registry record does not report a clinical-importance threshold for the primary measure, and the safety summary is descriptive. These constraints should temper interpretation without implying that unreported information had any particular value.

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23. Record Summary

NCT03443024 is a completed, randomized, parallel-group phase 2 trial of lebrikizumab in participants with moderate-to-severe atopic dermatitis. The study compared three subcutaneous regimens—125 mg every 4 weeks, 250 mg every 4 weeks, and 250 mg every 2 weeks—with placebo. The registry reports enrollment of 280 and identifies the primary outcome as percent change from baseline in EASI at Week 16.

The sponsor’s primary analyses used ANCOVA with treatment and baseline EASI as specified in the registry description. The posted group means show more negative average EASI percent changes in each lebrikizumab group than in placebo. Recalculated unadjusted comparisons are approximate and do not replace the sponsor’s analysis. The registry states that primary missing values were imputed using MCMC multiple imputation, but does not report the full model details or multiplicity plan.

Serious adverse event counts and deaths are reported by group. They are descriptive and do not establish causality. The original sample-size justification and several details needed for fuller assessment are not reported in the registry record.

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