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Atopic Dermatitis Phase 2 Binary Endpoint NCT03831191

A Study of LY3375880 in Adults With Moderate-to-Severe Atopic Dermatitis: Complete Statistical Analysis

This analysis examines a randomized, double-blind, placebo-controlled phase 2 study of LY3375880 in adults with moderate-to-severe atopic dermatitis. The primary Week 16 result was the percentage achieving a clear or almost clear investigator assessment with at least a 2-point improvement.

Trial start: 2019-02-12  ·  Enrollment: 136  ·  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 LY3375880 in Adults With Moderate-to-Severe Atopic Dermatitis (NCT03831191), a randomized phase 2 study. The primary outcome is Percentage of Participants Achieving Validated Investigator's Global Assessment for AD (vIGA-AD) of 0 or 1 With a ≥2 Point Improvement.

136
Enrollment
Phase 2
4
Arms
In the primary outcome
-4.5 pts
Risk difference
50 mg LY3375880
-20.3 to 11.3 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT03831191
PhasePhase 2
ConditionAtopic Dermatitis
AllocationRandomized
Design modelParallel
MaskingDouble
Enrollment136
Arms in the primary outcome4
Lead sponsorEli Lilly and Company
Results postedYes

2. Clinical Question

Population

Adults with moderate-to-severe atopic dermatitis were eligible for the study. The registry lists an enrollment of 136 participants. The primary endpoint population is described as all randomized participants who completed or discontinued the study before sponsor termination. The denominators for that endpoint were 21 for placebo, 20 for 50 mg LY3375880, 17 for 150 mg LY3375880, and 21 for 600 mg LY3375880.

Intervention

Participants in the induction period received subcutaneous LY3375880 every 4 weeks. The study included 50 mg, 150 mg, and 600 mg dose groups. The registry describes the study drug as being assessed for safety and efficacy in adults with atopic dermatitis.

Comparator

The comparator was placebo, administered subcutaneously every 4 weeks during the induction period. The registry identifies the study as randomized, double-blind, and placebo-controlled. The posted primary endpoint results compare each LY3375880 dose group with the placebo group.

Primary question

At Week 16, what percentage of participants in each group achieved a Validated Investigator's Global Assessment for AD (vIGA-AD) score of 0 or 1 with at least a 2-point improvement? The vIGA-AD is a clinician-rated assessment of overall atopic dermatitis severity. Its scale runs from 0, clear, to 4, severe, with higher scores representing greater severity. The registry reports percentages with 95% confidence intervals and notes that non-responder imputation was used for missing primary endpoint data.

3. Trial Design

The registry describes NCT03831191 as a multicenter, randomized, double-blind, placebo-controlled, parallel-group phase 2 study of LY3375880 in adults with moderate-to-severe atopic dermatitis. The study's official title identifies it as the ADmIRe Study. The sponsor was Eli Lilly and Company. The registry lists a start date of 2019-02-12, a primary completion date of 2020-02-27, and a status of terminated. The reason for termination is not reported in the registry record.

During the induction period, participants received placebo or one of three LY3375880 doses: 50 mg, 150 mg, or 600 mg. Each was administered subcutaneously every 4 weeks. The posted primary endpoint is assessed at Week 16. The registry lists 136 participants enrolled, while the primary endpoint denominators are smaller and vary by group. The registry's definition of the primary endpoint population is all randomized participants who completed or discontinued the study before sponsor termination. Why those endpoint denominators differ from the overall enrollment is not reported in the registry record.

Random allocation and double masking are stated in the registry, but the allocation procedure, masking details, and any stratification factors are not reported in the registry record. The original target enrollment and the study's own sample-size justification are also not reported in the registry record. The registry lists eight outcome measures and 18 analyses. It does not report the full statistical analysis plan, the timing or rationale for termination, or whether interim analyses were conducted. These omissions limit how fully the planned study design can be reconstructed from 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.

Before assignment: Responders are participants who achieved a 50% reduction in the Eczema Area and Severity Index score \[EASI-50\] response, regardless of whether rescue therapy had been initiated during induction period. Participants did not receive 300 mg because the trial was stopped early.

Only the first 6 of 15 groups are shown.

Induction Period (16 Weeks)

StagePlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Placebo Responder to Placebo/300 mg LY3375880Placebo Non-Responder to 300 mg LY3375880
STARTED3335343400
Received at Least One Dose of Study Drug3335343300
COMPLETED1014131100
NOT COMPLETED2321212300

Reasons for not completing this period:

ReasonPlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Placebo Responder to Placebo/300 mg LY3375880Placebo Non-Responder to 300 mg LY3375880
Adverse Event213400
Lack of Efficacy230000
Pregnancy001000
Protocol Violation000200
Withdrawal by Subject721300
Study Terminated by Sponsor1215161300
Sponsor Decision000100

Maintenance Period (36 Weeks)

StagePlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Placebo Responder to Placebo/300 mg LY3375880Placebo Non-Responder to 300 mg LY3375880
STARTED000045
COMPLETED000000
NOT COMPLETED000045

Reasons for not completing this period:

ReasonPlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Placebo Responder to Placebo/300 mg LY3375880Placebo Non-Responder to 300 mg LY3375880
Study Terminated by Sponsor000045
Withdrawal by Subject000000
Lost to Follow-up000000

Post-Treatment Follow-Up Period(8 Weeks)

StagePlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Placebo Responder to Placebo/300 mg LY3375880Placebo Non-Responder to 300 mg LY3375880
STARTED000000
COMPLETED000000
NOT COMPLETED000000

Analysis population for the primary outcome, as defined in the registry: Induction Period: All randomized participants who completed or discontinued the study prior to study termination by the sponsor.

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.

CharacteristicUnitPlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Total
Participants analysed33353434136
Age, Continuousyears37.00 (SD 14.98)37.70 (SD 16.00)39.50 (SD 13.94)36.80 (SD 13.84)37.80 (SD 14.60)
Sex: Female, Male: FemaleParticipants1116171458
Sex: Female, Male: MaleParticipants2219172078
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants9119837
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants1214141656
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants1210111043
Race (NIH/OMB): American Indian or Alaska NativeParticipants10001
Race (NIH/OMB): AsianParticipants1114101247
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants00000
Race (NIH/OMB): Black or African AmericanParticipants01236
Race (NIH/OMB): WhiteParticipants1919201977
Race (NIH/OMB): More than one raceParticipants00101
Race (NIH/OMB): Unknown or Not ReportedParticipants21104
Region of Enrollment: ArgentinaParticipants535417
Region of Enrollment: AustriaParticipants04127
Region of Enrollment: CanadaParticipants00314
Region of Enrollment: FranceParticipants21104
Region of Enrollment: HungaryParticipants10315
Region of Enrollment: ItalyParticipants11136
Region of Enrollment: JapanParticipants1011101041
Region of Enrollment: SpainParticipants00314
Region of Enrollment: United StatesParticipants141571248

6. Primary Endpoint

The registry lists the primary outcome as Percentage of Participants Achieving Validated Investigator's Global Assessment for AD (vIGA-AD) of 0 or 1 With a ≥2 Point Improvement, measured over Week 16.

ElementRegistry entry
Result typeNumber
Measure of spread95% Confidence Interval
UnitPercentage of participants
Endpoint classificationBinary Endpoint

The primary endpoint is the percentage of participants who achieved a vIGA-AD score of 0 or 1 with at least a 2-point improvement at Week 16. The vIGA-AD is a static, numeric assessment of overall atopic dermatitis severity. Its scale ranges from 0, clear, to 4, severe; higher scores indicate greater severity. The assessment considers erythema, papulation or induration, oozing or crusting, and lichenification.

A response defined by both a low final score and a minimum improvement represents two related aspects of change: the severity recorded at the assessment and improvement relative to baseline. A responder threshold gives a clinically interpretable way to describe the share of participants meeting a specified criterion. It also turns an individual assessment into a binary outcome: each participant either meets the response definition or does not.

The registry reports the endpoint as a percentage, with a 95% confidence interval for each group. It states that non-responder imputation was used for missing data. Under that approach, missing endpoint values are treated as non-response for the primary endpoint. The registry record does not report further details about how baseline values were handled or whether other missing-data sensitivity analyses were performed.

7. Results Posted in the Registry

Risk difference: 50 mg LY3375880

-4.5

95% CI: -20.3 to 11.3 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals0.06.312.719.025.431.7Placebo (n=21)50 mg LY3375880 (n=20)150 mg LY3375880 (n=17)600 mg LY3375880 (n=21)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)50 mg LY3375880150 mg LY3375880600 mg LY3375880-23-15-7.540.268.0616risk 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
Percentage of Participants Achieving Eczema Area and Severity Index 75 (EASI-75)Binary EndpointRisk difference-4.0 pts (-27.0 to 18.9)1,353 per arm
Percentage of Participants Achieving SCORing Atopic Dermatitis 75 (SCORAD-75)Binary EndpointRisk difference+0.2 pts (-13.0 to 13.4)128,560 per arm

Percentage of Participants Achieving Eczema Area and Severity Index 75 (EASI-75)

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)50 mg LY3375880150 mg LY3375880-32-18-4.848.562235risk difference (percentage points) vs control (95% CI)

Percentage of Participants Achieving SCORing Atopic Dermatitis 75 (SCORAD-75)

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)50 mg LY3375880150 mg LY3375880-16-9.72-3.382.959.2916risk difference (percentage points) vs control (95% CI)

The posted secondary binary outcomes provide context alongside the primary response definition, but they do not remove the uncertainty in the primary comparison. The reported Week 16 measures include EASI-75, SCORAD-75, and achieving vIGA-AD of 0. The registry also lists change-from-baseline measures and other outcomes, including an assessment at Week 52 and a pharmacokinetic measure. The full results for all listed secondary outcomes are not reported in the registry record for this analysis.

For the secondary outcomes with posted Week 16 data, the observed response percentages vary by endpoint and dose group. The confidence intervals are broad, reflecting the small group denominators and limited event counts. The displayed comparisons do not show a consistent pattern that can be read as a clear, precise separation of the LY3375880 groups from placebo across these outcomes. Secondary measures can help describe whether the primary pattern is echoed by other definitions of response, but each outcome measures a different aspect of disease severity or response and should be interpreted on its own terms.

Unadjusted secondary comparisons carry less weight when many outcomes and comparisons are examined. In general, the more comparisons considered, the greater the chance that some results appear notable by chance alone. The registry lists multiple outcome measures and analyses, but whether and how multiplicity was controlled is not reported in the registry record. Accordingly, the secondary findings are best treated as exploratory descriptions rather than independent confirmation of the primary result. They do not establish a treatment effect or resolve the uncertainty evident in the primary endpoint estimates.

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

9. Statistical Interpretation

Clinical Biostats interpretation

At Week 16, 9.5% of participants in the placebo group met the primary response definition, with a 95% confidence interval from 2.7% to 28.9%. The corresponding percentages were 5.0% for 50 mg LY3375880, 5.9% for 150 mg LY3375880, and 4.8% for 600 mg LY3375880. Their 95% confidence intervals were 0.9% to 23.6%, 1.0% to 27.0%, and 0.8% to 22.7%, respectively. These percentages describe the observed responder proportions in the primary endpoint population defined by the registry.

The recalculated, unadjusted risk differences were -0.045 for 50 mg, -0.036 for 150 mg, and -0.048 for 600 mg, each compared with placebo. The corresponding 95% confidence intervals were -0.203 to 0.113, -0.205 to 0.132, and -0.203 to 0.107. Each interval includes zero, so the posted summaries are compatible with a range of differences in either direction. The intervals are broad relative to the point estimates, which means the observed group percentages do not determine the size or direction of the underlying difference precisely.

The registry's reported logistic-regression odds ratios were 0.55 for 50 mg, 0.69 for 150 mg, and 0.58 for 600 mg, each compared with placebo. Their 95% confidence intervals were 0.04 to 6.81, 0.05 to 8.76, and 0.05 to 7.26; the reported p-values were 0.638, 0.773, and 0.671. These estimates also have wide intervals. The estimates and intervals should be read as uncertain comparisons, not as precise evidence about the size of a dose-group difference.

The endpoint denominators were 21 for placebo, 20 for 50 mg, 17 for 150 mg, and 21 for 600 mg. With these group sizes, a small number of participants meeting the response definition can move the observed percentage substantially. The registry reports that missing primary endpoint data were handled with non-responder imputation, but the published record does not give enough detail to assess the effect of other missing-data assumptions. The study was terminated, and the reason is not reported in the registry record. Taken together, the posted results describe low observed response percentages and substantial uncertainty; they do not establish that any group differed from placebo in a particular direction or by a particular amount.

10. Statistical Methods Explained

The primary outcome is binary at the participant level: a participant either achieved the specified vIGA-AD response at Week 16 or did not. The registry presents the percentage meeting that definition in each group. This percentage is a direct descriptive summary of the observed outcome in the stated analysis population. It is not a measure of the average change in severity, and it does not show how far each individual participant's score changed.

A confidence interval describes uncertainty around an estimated quantity. In general, a 95% confidence interval is produced by a procedure that, under its assumptions, would capture the quantity of interest in 95% of repeated applications. It is not a guarantee that a particular interval contains the true value. For the primary endpoint, the reported intervals accompany the group percentages. Their breadth indicates that the estimates are imprecise. The comparison intervals for the recalculated risk differences also cross zero, so the posted summaries are consistent with differences favoring either group.

The risk difference is the responder proportion in a LY3375880 group minus the responder proportion in the placebo group. It expresses the contrast on the percentage-point scale when proportions are written as percentages, or on the proportion scale when expressed as decimals. The recalculated risk differences are simple, unadjusted calculations from the posted summary statistics. They do not replace the sponsor's analysis. An unadjusted comparison does not account for any covariates or other model terms that may have been used in the registry's analysis.

The registry reports that its primary comparisons used logistic regression and gives odds ratios. An odds ratio compares the odds of response in one group with the odds in another. It is not the same quantity as a risk difference: the odds ratio is on a relative odds scale, while the risk difference is on an absolute scale. Logistic regression can incorporate model terms, but the registry record does not report the full model specification, any covariates, or the method used to construct the reported confidence intervals. The sponsor's odds-ratio results and the simple risk-difference recalculations therefore need not have identical numerical estimates or p-values.

The primary endpoint uses a response threshold, which can make interpretation straightforward but discards information about the size of score changes within each response category. Two participants with different degrees of improvement can be classified alike if both meet the response rule; a participant just short of the threshold is classified as a non-responder. This is a general feature of dichotomizing a continuous or ordinal measure, not a finding specific to this study. The registry also lists continuous change outcomes among its secondary measures, but their posted results are not included in the registry record for this analysis.

For the primary endpoint, the registry states that non-responder imputation (NRI) was used for missing data. In general, NRI assigns missing outcomes to the non-response category. This provides a defined rule for including participants without an observed endpoint value, but its impact depends on how many values are missing and why they are missing. Those details are not reported in the registry record. The endpoint population is described as all randomized participants who completed or discontinued the study before sponsor termination; this definition should be kept in mind when interpreting the denominators.

The recalculated p-values are unadjusted. A p-value measures how unusual data at least as incompatible with a specified null hypothesis would be under that hypothesis and the statistical model; it is not the probability that the null hypothesis is true. The registry's primary reported p-values are from its logistic-regression analyses. The registry record does not provide enough detail to determine how the sponsor handled multiple comparisons or whether the reported primary p-values were adjusted.

Small samples and sparse binary outcomes can make estimates unstable and intervals wide. General statistical methods for sparse outcomes may use exact or other specialized approaches, but the registry identifies logistic regression for the primary sponsor comparisons. The registry record does not describe any corrections for small-sample behavior or provide enough detail to evaluate the model's assumptions. The recalculated risk differences should therefore be read as descriptive, unadjusted comparisons based on the posted counts and percentages, alongside—not in place of—the reported sponsor analysis.

11. Confidence Intervals and Precision

The primary endpoint estimates are based on group denominators of 21 for placebo, 20 for 50 mg LY3375880, 17 for 150 mg LY3375880, and 21 for 600 mg LY3375880. The corresponding 95% confidence intervals are wide: 2.7% to 28.9% for placebo, 0.9% to 23.6% for 50 mg, 1.0% to 27.0% for 150 mg, and 0.8% to 22.7% for 600 mg. Each interval spans values well below and above the reported percentage, showing that the group response proportions are estimated with limited precision.

The recalculated 95% confidence intervals for the risk differences are also broad: -0.203 to 0.113 for 50 mg versus placebo, -0.205 to 0.132 for 150 mg versus placebo, and -0.203 to 0.107 for 600 mg versus placebo. Every interval includes zero and includes values on both sides of zero. Thus, the observed point estimates alone do not tightly constrain the possible difference between groups. This uncertainty matters when interpreting apparent differences in small groups, where a small change in the number of responders can shift the percentage noticeably.

In general, a confidence interval gives a range of values reasonably compatible with the data and the method used to calculate it; it is not a range containing most individual participant outcomes. A broad interval can reflect limited information, including a small denominator and few observed events. The registry does not report a separate precision target for the trial's original design. The intervals therefore describe uncertainty in the posted estimates, not proof that the groups are equivalent or that a specific difference is absent.

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 effect516690
75% of the observed effect9831,316
50% of the observed effect2,3583,156
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect5001,0002,0005,00010,00040%60%80%100%80% power90% powersize of effect to detect, as % of the effect observed (log vertical scale: participants per arm)
Treat these figures cautiously. The observed difference is imprecise: its confidence interval includes no difference at all. A sample size built on a noisy estimate can be far too small or too large, so the smaller-effect rows are the more cautious guide.
Method and assumptions. Two-sided α = 0.05, 1:1 allocation, pooled-variance normal approximation for two proportions. Counts were reconstructed from the posted percentages and arm sizes, so small rounding differences are possible. Calculated for the comparison: 50 mg LY3375880.

The planning figures are participants per arm, not total enrollment or total participants across the compared groups. They are planning illustrations based on the observed effect, not the trial's own original design assumptions. The listed assumptions are a two-sided significance level of 0.05, equal allocation between the two arms, and a normal approximation; each scenario targets the stated fraction of the observed effect. The trial's own sample-size justification and original design assumptions are not reported in the registry record.

The 80% power column gives the illustrative number of participants per arm for a design with an 80% chance of detecting the assumed effect under the stated planning assumptions. The 90% power column gives the corresponding number for a 90% chance. These are design probabilities under the assumed effect and method, not guarantees about results. For example, planning for 75% of the observed primary risk difference for 50 mg versus placebo gives 983 participants per arm for 80% power and 1,316 for 90% power. Planning for 75% of the observed primary risk difference for 600 mg versus placebo gives 878 participants per arm for 80% power and 1,175 for 90% power.

Across the planning scenarios, a smaller effect to detect requires more participants than a larger effect under the same assumptions. The values based on the observed effects should not be treated as fixed recommendations: they depend on the observed effect estimates, and those estimates are uncertain. These calculations are not observed power. The registry record does not report that these planning calculations were used to select the study's enrollment.

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 = [ z1−α/2 √(2p̄(1−p̄)) + z1−β √(p0(1−p0) + p1(1−p1)) ]2 / (p1 − p0)2

n is the number of participants in each arm, p0 and p1 are the control and treatment proportions, and p̄ is their average.

Worked calculation for this trial

  1. Control proportion p0 = 0.095; treatment proportion p1 = 0.050; average p̄ = 0.073.
  2. First term: z1−α/2 × √[2p̄(1−p̄)] = 1.96 × 0.3670 = 0.7193.
  3. Second term: z1−β × √[p0(1−p0) + p1(1−p1)] = 0.842 × 0.3656 = 0.3077.
  4. n = (0.7193 + 0.3077)2 / (-0.0452)2 = 515.4, rounded up to 516 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
p0 <- 0.0952380952380952                          # control proportion
p1 <- 0.05                          # treatment proportion
n_per_arm <- function(power, frac = 1) {
  q1 <- p0 + (p1 - p0) * frac               # smaller effect = fraction of the observed difference
  pbar <- (p0 + q1) / 2
  z_b <- qnorm(power)
  ceiling(round((z_a * sqrt(2 * pbar * (1 - pbar)) + z_b * sqrt(p0 * (1 - p0) + q1 * (1 - q1)))^2 / (q1 - p0)^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 (unrounded n per arm)
cat("power.prop.test:", round(power.prop.test(p1 = p0, p2 = p1, power = 0.80)$n, 1), "\n")

# Simulation: how often does the z-test reject at the 80%-power sample size?
set.seed(3831191)
n    <- n_per_arm(0.80)
reps <- 20000
x0 <- rbinom(reps, n, p0); x1 <- rbinom(reps, n, p1)
ph <- (x0 + x1) / (2 * n)
z  <- ((x1 - x0) / n) / sqrt(ph * (1 - ph) * 2 / n)
cat(sprintf("Simulated power at n = %s per arm: %.3f (%d replicates)\n", format(n, big.mark = ","), mean(abs(z) > z_a, na.rm = TRUE), reps))

Output from running the code

100% of observed effect: n per arm = 516 (80% power), 690 (90% power)
 75% of observed effect: n per arm = 983 (80% power), 1,316 (90% power)
 50% of observed effect: n per arm = 2,358 (80% power), 3,156 (90% power)
power.prop.test: 515.4 
Simulated power at n = 516 per arm: 0.802 (20000 replicates)

The simulation draws many pairs of event counts at the planned sample size and counts how often the two-proportion z-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
Regression, LogisticOdds Ratio (OR) 0.550.04 to 6.810.638
Regression, LogisticOdds Ratio (OR) 0.690.05 to 8.760.773
Regression, LogisticOdds Ratio (OR) 0.580.05 to 7.260.671

The sponsor's reported primary analyses compare each LY3375880 dose group with placebo using logistic regression and report odds ratios. For 50 mg, the odds ratio was 0.55 with a 95% confidence interval from 0.04 to 6.81 and p = 0.638. For 150 mg, it was 0.69 with a 95% confidence interval from 0.05 to 8.76 and p = 0.773. For 600 mg, it was 0.58 with a 95% confidence interval from 0.05 to 7.26 and p = 0.671.

The recalculated comparisons use risk differences from posted summary statistics, without covariate adjustment. Their estimates were -0.045, -0.036, and -0.048 for 50 mg, 150 mg, and 600 mg, respectively. Their unadjusted p-values were 0.578, 0.679, and 0.549. Odds ratios and risk differences are different measures, and the sponsor's logistic-regression method may include model features not available in the registry record. The estimates and p-values are therefore not expected to match exactly.

The registry reports no discrepancy between the posted sponsor analysis and the recalculation. The sponsor's analysis is the primary reported analysis; the simple recalculations offer a complementary, unadjusted description rather than a replacement. Both sets of intervals are broad, so neither supports a precise estimate of the comparison.

15. Multiplicity, Missing Data and Analysis Populations

The registry lists eight outcome measures and 18 analyses, including a primary endpoint, multiple secondary endpoints, and comparisons across dose groups. Considering many outcomes or comparisons raises a multiplicity issue: in general, the chance of obtaining at least one apparently unusual result can increase as the number of analyses increases. Statistical plans may address this using prespecified testing sequences, adjusted significance thresholds, or other procedures. Whether any such strategy was planned or applied is not reported in the registry record.

The sponsor's primary analyses are reported as logistic regression, while the posted secondary analyses include Fisher exact tests. The registry record does not provide the complete statistical analysis plan, the model specifications, or a full account of which analyses were prespecified. It also does not report whether the reported p-values account for the several dose-versus-placebo comparisons. The p-values should therefore be read as reported for their individual comparisons, without assuming a multiplicity adjustment.

Missing-data handling is reported specifically for the primary outcome: non-responder imputation was used. This means missing primary endpoint data were assigned to the non-response category under the stated method. The registry does not report the amount or timing of missing data, reasons for missingness, or sensitivity analyses under alternative assumptions. The missing-data procedures for the secondary measures are not reported in the registry record.

The primary endpoint population includes all randomized participants who completed or discontinued the study before sponsor termination. The record does not provide further detail about exclusions, analysis-set construction, or how the endpoint population relates to the larger enrollment. Details of interim analyses, stopping rules, and whether termination affected the analysis plan are also not reported in the registry record. These missing details limit the ability to assess how the reported analyses relate to the full prespecified plan.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Placebo0330.0%
50 mg LY33758800350.0%
150 mg LY33758800340.0%
600 mg LY33758802336.1%
Placebo Responder to Placebo/300 mg LY3375880040.0%
Placebo Non-Responder to 300 mg LY33758801520.0%
50 mg Responder to Placebo/50 mg LY3375880020.0%
50 mg LY3375880 Responder to 50 mg LY3375880040.0%
50 mg LY3375880 Non-Responder to 150 mg LY3375880080.0%
150 mg Responder to Placebo/150 mg LY3375880010.0%
150 mg LY3375880 Responder to 150 mg LY3375880040.0%
150 mg LY3375880 Non-Responder to 300 mg LY3375880080.0%
600 mg Responder to Placebo/600 mg LY3375880010.0%
600 mg LY3375880 Responder to 600 mg LY3375880010.0%
600 mg LY3375880 Non-Responder to 600 mg LY3375880090.0%
Participants with at least one serious adverse event
Serious adverse events by armPlacebo0.0%50 mg LY33758800.0%150 mg LY33758800.0%600 mg LY33758806.1%Placebo Responder to Placebo/…0.0%Placebo Non-Responder to 300 …20.0%50 mg Responder to Placebo/50…0.0%50 mg LY3375880 Responder to …0.0%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
Placebo0 of 33
50 mg LY33758800 of 35
150 mg LY33758800 of 34
600 mg LY33758800 of 33
Placebo Responder to Placebo/300 mg LY33758800 of 4
Placebo Non-Responder to 300 mg LY33758800 of 5

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
Placebo7 of 33
50 mg LY33758809 of 35
150 mg LY337588012 of 34
600 mg LY337588012 of 33
Placebo Responder to Placebo/300 mg LY33758801 of 4
Placebo Non-Responder to 300 mg LY33758804 of 5

Most frequent serious adverse event terms

Event termOrgan systemPlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Placebo Responder to Placebo/300 mg LY3375880Placebo Non-Responder to 300 mg LY3375880
Cardiac arrestCardiac disorders0 of 330 of 350 of 340 of 330 of 41 of 5
Lung adenocarcinomaNeoplasms benign, malignant and unspecified (incl cysts and polyps)0 of 330 of 350 of 341 of 330 of 40 of 5
Dermatitis atopicSkin and subcutaneous tissue disorders0 of 330 of 350 of 341 of 330 of 40 of 5
CellulitisInfections and infestations0 of 330 of 350 of 340 of 330 of 40 of 5

Most frequent non-serious adverse event terms

Event termOrgan systemPlacebo50 mg LY3375880150 mg LY3375880600 mg LY3375880Placebo Responder to Placebo/300 mg LY3375880Placebo Non-Responder to 300 mg LY3375880
Dermatitis atopicSkin and subcutaneous tissue disorders3 of 331 of 353 of 343 of 331 of 40 of 5
InsomniaPsychiatric disorders2 of 331 of 354 of 341 of 330 of 40 of 5
Postoperative wound infectionInfections and infestations1 of 331 of 353 of 341 of 330 of 40 of 5
PruritusSkin and subcutaneous tissue disorders0 of 331 of 352 of 343 of 330 of 40 of 5
NasopharyngitisInfections and infestations0 of 333 of 351 of 340 of 330 of 41 of 5
HeadacheNervous system disorders1 of 332 of 350 of 342 of 330 of 40 of 5
Injection site painGeneral disorders1 of 330 of 350 of 342 of 330 of 40 of 5
FolliculitisInfections and infestations1 of 331 of 350 of 340 of 330 of 40 of 5
ParonychiaInfections and infestations0 of 330 of 352 of 340 of 330 of 40 of 5
Upper respiratory tract infectionInfections and infestations0 of 330 of 351 of 341 of 330 of 40 of 5

Serious events with the highest arm-level rate: cardiac arrest (20.0%), lung adenocarcinoma (3.0%), dermatitis atopic (3.0%), cellulitis (0.0%).

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.

For the main induction groups in the adverse-event record, serious adverse events were reported in 0 of 33 participants at risk in the placebo group, 0 of 35 at risk with 50 mg LY3375880, 0 of 34 at risk with 150 mg, and 2 of 33 at risk with 600 mg. The registry lists no deaths in any of the reported groups. These counts describe the posted safety record; they do not by themselves establish whether an event was caused by study treatment.

Other adverse events were reported in 7 of 33 participants at risk with placebo, 9 of 35 with 50 mg, 12 of 34 with 150 mg, and 12 of 33 with 600 mg. The adverse-event listing also includes later response and follow-up groups with different denominators. Those groups should not be casually combined with the main induction groups because they represent distinct registry categories and may reflect different periods or treatment histories.

Safety counts need to be read with their denominators and the study's termination status in mind. The registry record does not provide enough detail to assess event duration, severity beyond the serious classification, relatedness to treatment, or comparative risk with precision. These figures are descriptive and are not a substitute for a complete safety analysis.

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

The primary result describes the percentage of participants in each group who met a specific clinician-rated response definition at Week 16. The observed percentages were 9.5% with placebo, 5.0% with 50 mg LY3375880, 5.9% with 150 mg, and 4.8% with 600 mg. The corresponding uncertainty intervals are wide, and the recalculated risk-difference intervals include zero. The registry's reported odds-ratio intervals are also broad.

These findings do not establish that LY3375880 is effective or ineffective for atopic dermatitis. They also do not establish that the groups are equivalent. A nonsignificant p-value is not proof of no difference, and an estimate in one direction is not proof that the underlying effect has that direction. With limited endpoint denominators and few participants meeting the response definition, the data allow a broad range of possible differences.

The result applies to the recorded endpoint, the specified assessment time, and the analysis population described in the registry. It does not directly answer every question about symptom change, longer-term response, or safety. The registry lists several other outcomes, but their full results are not reported in the registry record for this analysis. The study was terminated, and the reason is not reported in the registry record, which further limits interpretation of the study's intended scope and completion.

In general, randomized and masked comparisons can help reduce some sources of bias, but the design labels alone do not resolve uncertainty caused by small analysis groups, missing data, or incomplete reporting of analysis methods. The most defensible reading is descriptive: the posted data show low response percentages in all four groups, with imprecise between-group estimates. Stronger conclusions about the size, direction, or reliability of a difference are not supported by these results alone.

18. Why This Trial Matters Statistically

This trial is statistically informative as an example of the distinction between a point estimate and the precision of an estimate. The group percentages and comparison estimates are easy to state, but their confidence intervals are broad. A numerical difference between groups can look suggestive when considered alone; the interval shows how much uncertainty remains around that difference.

The binary response definition also illustrates a common trade-off. A responder percentage is straightforward to communicate, but a threshold reduces the information in the underlying severity assessments. The registry's other listed outcomes include different response definitions and changes in scores, which can offer complementary perspectives. However, the available secondary results do not remove the uncertainty in the primary endpoint, and the registry does not report how multiplicity was handled.

The study also demonstrates why sample-size planning depends on the effect size one wants to detect. The planning illustrations based on fractions of observed effects require more participants for smaller target effects. They are not the original design justification and are not observed power. Keeping those distinctions clear prevents a post hoc planning calculation from being mistaken for a feature of the trial's original plan.

Finally, reporting details shape statistical interpretation. The registry supplies the primary endpoint definition, the missing-data method, and the sponsor's logistic-regression results, but not the complete analysis plan, model specifications, or reason for termination. Recognizing what is and is not documented helps readers distinguish the posted evidence from assumptions that cannot be verified.

19. Limitations

The primary endpoint results are based on small group denominators: 21 for placebo, 20 for 50 mg LY3375880, 17 for 150 mg, and 21 for 600 mg. The resulting confidence intervals are broad, and the observed percentages depend on relatively few response events. This limits precision and makes the comparisons sensitive to small changes in event counts.

The registry reports an enrollment of 136, but the primary endpoint population is defined as randomized participants who completed or discontinued before sponsor termination, and the endpoint denominators are smaller. The reasons for the difference between enrollment and endpoint denominators are not reported in the registry record. The study status is terminated, but the reason, its effect on follow-up, and its relationship to the analysis population are not reported.

Non-responder imputation is specified for missing primary endpoint data, but the amount of missingness, reasons for missingness, and results under alternative assumptions are not reported. The complete statistical analysis plan, logistic-regression model details, and any multiplicity-control procedure are not reported. These gaps make it difficult to evaluate robustness and to determine how the reported analyses relate to prespecified methods.

The registry provides only a subset of the secondary outcome results considered in the registry entries. It lists other measures, including Week 52 and pharmacokinetic outcomes, without full results. The posted adverse-event counts are descriptive and do not provide a complete account of event relatedness, duration, or severity. These limitations are specific to the available registry record and should temper conclusions drawn from the observed efficacy and safety summaries.

20. Related Tutorials

21. Related Statistical Calculators

22. Sources

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Use this trial's endpoint as a starting point for deeper study of effect measures, confidence intervals, and sample-size planning.

23. Record Summary

NCT03831191 was a multicenter, randomized, double-blind, placebo-controlled, parallel-group phase 2 study of LY3375880 in adults with moderate-to-severe atopic dermatitis. The induction period compared subcutaneous placebo with 50 mg, 150 mg, or 600 mg LY3375880 administered every 4 weeks. The registry lists enrollment of 136 and a terminated study status.

The primary outcome was the percentage achieving vIGA-AD 0 or 1 with at least a 2-point improvement at Week 16. Observed percentages ranged from 4.8% to 9.5% across the four groups, and the reported confidence intervals were broad. Sponsor-reported logistic-regression comparisons and unadjusted risk-difference recalculations both show substantial uncertainty. The registry specifies non-responder imputation for the primary endpoint, but does not report the full analysis plan, the reason for termination, or the study's original sample-size justification.

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