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Systemic Lupus Erythematosus Phase 4 Binary Endpoint NCT01632241

Efficacy and Safety of Belimumab in Black Race Patients With Systemic Lupus Erythematosus (SLE): Complete Statistical Analysis

The registry record reports a randomized, placebo-controlled study of belimumab plus standard therapy in adults of Black race with systemic lupus erythematosus. The primary Week 52 response result is considered alongside the sponsor’s adjusted analysis, secondary outcomes, safety figures, and the limits of the available statistical detail.

Trial start: 2013-02-19  ·  Enrollment: 503  ·  Sponsor: Human Genome Sciences Inc., a GSK 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 Efficacy and Safety of Belimumab in Black Race Patients With Systemic Lupus Erythematosus (SLE) (NCT01632241), a randomized phase 4 study. The primary outcome is Percentage of Participants Achieving a Systemic Lupus Erythematosus Responder Index (SRI) Response Rate With the Modified Systemic Lupus Erythematosus Disease Activity Index- 2K (SLEDAI-2K) Scoring for Proteinuria at Week 52 [DB Phase].

503
Enrollment
Phase 4
2
Arms
In the primary outcome
+7.0 pts
Risk difference
Belimumab 10 mg/kg (DB Phase)
-2.7 to 16.8 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT01632241
PhasePhase 4
ConditionSystemic Lupus Erythematosus
AllocationRandomized
Design modelParallel
MaskingQuadruple
Enrollment503
Arms in the primary outcome2
Lead sponsorHuman Genome Sciences Inc., a GSK Company
Results postedYes

2. Clinical Question

Population

Adults of Black race with systemic lupus erythematosus (SLE) were the intended study population. The primary endpoint analysis used a modified intention-to-treat population: the safety population after excluding participants with assessments at sites 202196, 202513, or 107286. The registry record states that one participant in the belimumab group lacked a screening or baseline Physician’s Global Assessment assessment and did not contribute to the SRI or component analysis.

Intervention

Belimumab 10 mg/kg was given intravenously with standard therapy. In the double-blind phase, dosing began on Days 0, 14, and 28, then continued every 28 days through Week 48, with a final evaluation at Week 52.

Comparator

The randomized comparator was placebo with standard therapy. Placebo dosing followed the same stated schedule through Week 48, with a final evaluation at Week 52. The registry record also describes an open-label extension in which some participants could receive belimumab.

Primary question

At Week 52 in the double-blind phase, what percentage of participants achieved a Systemic Lupus Erythematosus Responder Index response using modified SLEDAI-2K scoring for proteinuria? The comparison is between belimumab 10 mg/kg plus standard therapy and placebo plus standard therapy.

3. Trial Design

The registry describes a Phase 4, multicenter, randomized, double-blind, placebo-controlled study with a parallel-group design and quadruple masking. Its official title describes a 52-week study. The listed study condition is systemic lupus erythematosus, and the intended population was adult participants of Black race. Enrollment is recorded as 503. The study is marked completed; the registry record lists a start date of 2013-02-19 and primary completion on 2018-06-18.

The double-blind comparison was belimumab 10 mg/kg plus standard therapy versus placebo plus standard therapy. Both treatments were administered intravenously on Days 0, 14, and 28, then every 28 days through Week 48, with a final double-blind evaluation at Week 52. The record also describes an open-label extension. Participants assigned to placebo who opted to enter it could receive belimumab, while participants who had received belimumab could continue receiving it. Open-label outcomes therefore concern a different treatment setting from the randomized double-blind comparison.

The primary analysis population is described as modified intention-to-treat. It excluded the safety-population participants with assessments at three specified sites. The primary endpoint description also notes that one belimumab-arm participant did not have a screening or baseline PGA assessment and was not included in the SRI or component analysis. The endpoint-specific arm counts should be read as analysis counts for the relevant result, not as a new statement of overall enrollment.

The registry record does not report the original sample-size justification or the trial’s original planning assumptions. It also does not report enough detail to reconstruct every analysis population and every missing-data procedure across all outcomes. The planning illustrations are separate from the trial’s own design information.

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: A total of 503 participants were randomized of which 496 received at-least one dose of study medication during double-blinded phase (7 participants were randomized but not treated as they were randomized in error). A total of 359 out of 373 participants who completed double-blinded phase opted to continue optional open-label (OL) extension phase.

Double-blinded (Up to Week 52)

StagePlacebo to Belimumab 10 mg/kgBelimumab 10 mg/kg to Belimumab 10 mg/kg
STARTED165331
COMPLETED121252
NOT COMPLETED4479

Reasons for not completing this period:

ReasonPlacebo to Belimumab 10 mg/kgBelimumab 10 mg/kg to Belimumab 10 mg/kg
Site Closed35
Protocol Violation26
Lost to Follow-up18
Physician Decision912
Lack of Efficacy915
Withdrawal by Subject1014
Adverse Event1019

Open-label (Week 52 to Week 76)

StagePlacebo to Belimumab 10 mg/kgBelimumab 10 mg/kg to Belimumab 10 mg/kg
STARTED117242
COMPLETED107220
NOT COMPLETED1022

Reasons for not completing this period:

ReasonPlacebo to Belimumab 10 mg/kgBelimumab 10 mg/kg to Belimumab 10 mg/kg
Withdrawal by Subject52
Physician Decision14
Lost to Follow-up14
Site Closed28
Protocol Violation02
Lack of Efficacy02
Adverse Event10

Analysis population for the primary outcome, as defined in the registry: mITT Population. One participant in the mITT population Belimumab 10 mg/kg arm did not have a screening or Baseline PGA assessment; therefore, this participant did not contribute to the SRI/component analysis.

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.

CharacteristicUnitPlacebo to Belimumab 10 mg/kgBelimumab 10 mg/kg to Belimumab 10 mg/kgTotal
Participants analysed165331496
Age, ContinuousYears39.5 (SD 12.06)38.7 (SD 11.00)38.9 (SD 11.36)
Sex: Female, Male: FemaleParticipants158322480
Sex: Female, Male: MaleParticipants7916
Race/Ethnicity, Customized: Race – Black or African AmericanParticipants165331496

6. Primary Endpoint

The registry lists the primary outcome as Percentage of Participants Achieving a Systemic Lupus Erythematosus Responder Index (SRI) Response Rate With the Modified Systemic Lupus Erythematosus Disease Activity Index- 2K (SLEDAI-2K) Scoring for Proteinuria at Week 52 [DB Phase], measured over Week 52.

ElementRegistry entry
Result typeNumber
Measure of spreadnot applicable
UnitPercentage of participants
Endpoint classificationBinary Endpoint

The primary endpoint is the percentage of participants who achieved an SRI response at Week 52 of the double-blind phase. The SRI combines a change in disease activity with criteria intended to identify worsening in other assessments. Response required a reduction of at least 4 points from baseline in the SELENA SLEDAI score, using modified SLEDAI-2K scoring for proteinuria. It also required no worsening in Physician’s Global Assessment, defined as an increase of less than 0.30 points from baseline, and no new BILAG A organ-domain score or two new BILAG B organ-domain scores compared with baseline.

This kind of composite endpoint is used to represent response across more than one disease assessment rather than relying on a single component. A participant had to meet all stated response conditions to count as a responder. The registry record says that drop-outs and treatment failures were counted as non-responders in this analysis. That rule affects how the binary outcome is defined: participants who did not remain in the required assessment pathway were not counted as successful responses under the stated endpoint definition.

The endpoint is a proportion, so its group results describe how often the defined response occurred among participants in each analysis arm. It does not by itself describe the size of a response among responders, the course of every disease feature, or the full balance of benefits and harms. The registry record reports a logistic regression analysis for the comparison, with treatment group and specified baseline and region covariates in the model.

7. Results Posted in the Registry

Risk difference: Belimumab 10 mg/kg (DB Phase)

+7.0

95% CI: -2.7 to 16.8 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals32.036.841.746.651.556.3Placebo (DB Phase) (n=149)Belimumab 10 mg/kg (DB Phase) (n=298)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Belimumab 10 mg/kg (DB Phase)-4.250.274.799.311418risk 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 SRI-SS Response Rate at Week 52 [DB Phase]Binary EndpointRisk difference+7.4 pts (-2.4 to 17.1)713 per arm
Percentage of Participants Achieving SRI-SS Response Rate With the SELENA SLEDAI for Scoring of Proteinuria at Week 24 of OL PhaseBinary EndpointRisk difference+53.7 pts (42.4 to 64.9)13 per arm
Time to First Severe Flare (as Measured by the Modified SLE Flare Index) up to 52 Weeks [DB Phase]Time-to-Event AnalysisHazard ratio0.77 (0.51 to 1.17)460 events

Percentage of Participants Achieving SRI-SS Response Rate at Week 52 [DB Phase]

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Belimumab 10 mg/kg (DB Phase)-3.920.605.129.641419risk difference (percentage points) vs control (95% CI)

Percentage of Participants Achieving SRI-SS Response Rate With the SELENA SLEDAI for Scoring of Proteinuria at Week 24 of OL Phase

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Belimumab 10 mg/kg to Belimum…-5.199.8625405570risk difference (percentage points) vs control (95% CI)

Time to First Severe Flare (as Measured by the Modified SLE Flare Index) up to 52 Weeks [DB Phase]

Treatment effect versus the control arm
Forest plot of hazard ratio (as reported) vs control (95% CI)Placebo (DB Phase) vs Belimum…0.480.580.700.851.031.25hazard ratio (as reported) vs control (95% CI)

The secondary endpoints cover several kinds of outcomes: another Week 52 SRI response definition, an open-label SRI response assessment, time to first severe flare, prednisone-dose reduction outcomes, and adverse-event counts. This range means that the secondary results do not all estimate the same treatment effect or answer the same question. Some are binary proportions, some concern time to an event, and others describe safety or medication use.

The posted double-blind Week 52 SRI-SS response result is directionally similar to the primary endpoint comparison, with a higher response percentage in the belimumab group. The severe-flare analysis is a separate time-to-event result, with a confidence interval that includes the hazard-ratio null. The open-label response assessment compares groups with different treatment histories after the double-blind period; it should not be read as another placebo-controlled randomized comparison. Numerical results for the other listed secondary outcomes are not reported in the registry record.

These findings add context to the primary result but do not convert it into a different or more conclusive result. In particular, outcomes from an open-label period have different interpretive limits from blinded randomized outcomes. A pattern across endpoints can be informative, but endpoints may differ in definition, follow-up, analysis population, and susceptibility to missing observations.

Unadjusted secondary results generally carry less confirmatory weight when many outcomes are examined and no multiplicity procedure is reported. In general, testing multiple outcomes increases the chance that at least one result appears unusual by chance. The registry record does not report a complete multiplicity plan, so the secondary findings are best treated as supportive or exploratory evidence rather than as independent proof. This caution does not erase the observed results; it describes the limits on how strongly they can support a broad conclusion.

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

9. Statistical Interpretation

Clinical Biostats interpretation

At Week 52, the posted primary endpoint response percentages were 41.6% with placebo plus standard therapy and 48.7% with belimumab 10 mg/kg plus standard therapy. These are the group-level proportions for the modified intention-to-treat analysis. They describe a higher observed percentage in the belimumab group, but the percentages alone do not establish how precise the contrast is or how it compares with the prespecified analysis.

The registry’s reported logistic regression analysis gives an odds ratio of 1.40, with a 95% confidence interval from 0.93 to 2.11 and p = 0.107. The interval includes 1, the value corresponding to equal odds in the two groups. The reported p-value is above the conventional 0.05 threshold. In statistical terms, this result does not provide strong evidence against the model’s null hypothesis of no treatment-group association at that threshold. That is not the same as proving that the groups are identical, nor does it establish that any possible difference is clinically important or unimportant.

The unadjusted recalculation uses the posted responder counts and denominators and is not the same estimand as the sponsor’s covariate-adjusted logistic regression. Its p-value is 0.159, and its confidence interval for the risk difference crosses zero. This is directionally consistent with the reported analysis in the limited sense that neither result gives clear evidence of a group difference at the conventional threshold. The recalculation is a simple summary of the posted counts; it does not replace the registry’s reported model.

The secondary results span different endpoints and settings. The Week 52 SRI-SS result is close in direction to the primary response result, while the open-label Week 24 response figures differ between groups that had different treatment histories. The severe-flare endpoint is time-to-event rather than binary response and has a reported hazard ratio whose confidence interval includes 1. These outcomes should not be collapsed into one overall treatment effect. Open-label results, especially, do not retain the same randomized concurrent comparison as the double-blind phase.

Interpretation is also limited by the available record. The registry does not report the original sample-size justification, the complete multiplicity plan, or detailed missing-data handling for every outcome. Secondary findings are therefore best read as outcome-specific evidence rather than as a single confirmatory conclusion. The record describes the measured endpoints and statistical results; it does not establish a treatment recommendation.

10. Statistical Methods Explained

The primary outcome is binary: each participant is classified as an SRI responder or non-responder under the stated criteria. The reported group percentages describe the frequency of response. A logistic regression model was used for the primary comparison, with treatment group, baseline SELENA SLEDAI score category, baseline complement status, and region listed as covariates. The model reports an odds ratio, which compares the odds of response between groups after accounting for those covariates. Odds are not the same as probabilities, so the odds ratio should not be read as a direct percentage-point difference.

What does an odds ratio describe?

In general, an odds ratio compares the odds of an event in one group with the odds in another. An odds ratio of 1 corresponds to equal odds; values above 1 indicate higher odds in the group named in the comparison, and values below 1 indicate lower odds. The primary reported odds ratio is 1.40. Its 95% confidence interval, 0.93 to 2.11, includes 1, so the interval is compatible with equal odds as well as with effects on either side of that value. The model’s reported p-value is 0.107.

The recalculated risk difference is an unadjusted absolute contrast derived from the posted response counts and analysis denominators. It answers a different descriptive question from the adjusted odds ratio: it compares the proportions directly rather than comparing adjusted odds. Because the two summaries differ in scale and adjustment, their numerical values should not be treated as interchangeable. The recalculation is useful for describing the posted counts, while the registry’s reported regression is the analysis identified by the record.

Why use a regression model?

In general, regression can account for specified covariates while estimating the association between treatment assignment and an outcome. Here, the registry lists baseline disease-activity category, complement status, and region alongside treatment group in the logistic model. Adjustment can help make the treatment comparison conditional on those listed factors. It does not automatically remove bias from unmeasured factors, incorrect model assumptions, or limitations in how participants and outcomes were recorded. The registry record does not provide enough detail to evaluate every model diagnostic or the exact handling of all missing covariate information.

How is the flare outcome different?

The severe-flare outcome is time-to-event: it concerns time until the first severe flare, measured with the modified SLE Flare Index, up to 52 weeks. The registry reports a Cox proportional hazards model and a hazard ratio of 0.77, with a 95% confidence interval from 0.51 to 1.17 and p = 0.226. In general, a hazard ratio compares event rates over follow-up among participants who have not yet had the event, under the model’s assumptions. It is not a comparison of simple event proportions and does not directly state how many days were gained or lost.

Time-to-event analyses can use information about when events occur and can account for participants whose event time is not observed through the full follow-up, under appropriate censoring assumptions. The registry record does not provide the censoring details needed to assess those assumptions. It reports the Cox model and its estimate, but not a full account of model checks or proportional-hazards diagnostics. The arm-level median values are not fully displayed as ordinary numerical medians in the record, so the reported hazard ratio is the clearest available comparative statistic for this endpoint.

What does a confidence interval add?

In general, a confidence interval expresses the uncertainty around an estimated effect under the analysis method. A narrower interval indicates greater precision than a wider interval on the same scale, while the interval’s location indicates which effects remain compatible with the data and model. For a risk difference, zero represents no absolute difference; for an odds ratio or hazard ratio, 1 represents no relative difference. The relevant null value depends on the measure being reported.

A p-value describes how unusual the observed data, or more extreme data, would be under a specified null model and its assumptions. It is not the probability that the null hypothesis is true, and it does not measure clinical importance. The registry’s adjusted p-values and the recalculated unadjusted p-values are not identical analyses. Any interpretation should identify which model and endpoint a given value belongs to rather than treating all p-values as a single test.

What is not specified?

The registry record does not report the complete prespecified statistical analysis plan, the original sample-size calculation, or a full account of interim analyses. It also does not report a comprehensive multiplicity procedure for the endpoint family. Those omissions limit assessment of which comparisons were confirmatory, how type I error was controlled across outcomes, and whether all analysis choices followed a prospectively fixed plan. The record states that primary drop-outs and treatment failures were set to non-responders, but other missing-data details are not reported in the registry record.

11. Confidence Intervals and Precision

Precision concerns how tightly the available data locate an effect estimate. For the primary sponsor-reported odds ratio, the 95% confidence interval is 0.93 to 2.11 around an estimate of 1.40. Because the interval extends below and above 1, it includes the value corresponding to equal odds. The data therefore do not pin down a single direction of association with high precision under this model. The reported p-value, 0.107, is consistent with that interval-based reading at the conventional 0.05 threshold.

The group response percentages, 41.6% and 48.7%, are point estimates. A point estimate gives one summary value from the observed analysis sample, but it does not show the uncertainty by itself. The recalculated unadjusted risk-difference interval crosses zero, so the posted counts are compatible with no absolute difference as well as with effects in either direction under that calculation. The registry’s adjusted odds-ratio interval and the recalculated risk-difference interval are on different scales and arise from different analyses; they should not be compared as if they were estimates of the same quantity.

For the severe-flare analysis, the reported hazard ratio is 0.77 and its 95% confidence interval is 0.51 to 1.17. This interval includes 1, so it includes the null value for a hazard ratio. Its p-value is 0.226. The interval spans effects on both sides of the null, and therefore does not precisely establish the direction or magnitude of the comparison.

Confidence intervals describe uncertainty under the specified statistical procedure; they do not account for every possible source of uncertainty, such as unreported analysis choices, selection into the open-label extension, or limitations in generalizing beyond the studied population. No confidence interval should be read as a guarantee that the true effect lies inside its endpoints. The reported intervals are most useful when considered together with the outcome definition, analysis population, and model that produced them.

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 effect7821,046
75% of the observed effect1,3861,854
50% of the observed effect3,1054,156
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: Belimumab 10 mg/kg (DB Phase).

The planning illustrations use the observed effect as a reference and show alternative assumptions for detecting the full observed effect or a stated fraction of it. For binary outcomes, the figures are participants per arm. For the time-to-event outcome, the figures are total events, not participants per arm. The primary response illustration lists 782 participants per arm for 80% power and 1,046 participants per arm for 90% power when planning for 100% of the observed effect. For 75% of the observed effect, the corresponding figures are 1,386 and 1,854 participants per arm; for 50%, they are 3,105 and 4,156.

In plain language, the 80% power column is the planning size associated with an 80% chance of detecting the specified effect if that effect is the true one and the stated assumptions hold. The 90% power column uses a higher target chance of detection and therefore requires more information under the same assumptions. Smaller effects are harder to distinguish from ordinary sampling variation, so planning to detect a smaller fraction of the observed effect requires more participants per arm. For time-to-event planning, the analogous figures count total events rather than people enrolled.

The stated planning assumptions are a two-sided significance level of 0.05, equal allocation between the two arms, and a normal approximation, with the effect set to the stated fraction of the observed effect. For time-to-event outcomes, the calculation uses the Schoenfeld approach. These are planning illustrations computed from the observed effect, not the trial’s original design assumptions, which are not reported in the registry record. They are not observed power: they do not describe the probability that this completed study had a significant result after its outcomes were observed.

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 = 0.416; treatment proportion p1 = 0.487; average p̄ = 0.451.
  2. First term: z1−α/2 × √[2p̄(1−p̄)] = 1.96 × 0.7038 = 1.3793.
  3. Second term: z1−β × √[p0(1−p0) + p1(1−p1)] = 0.842 × 0.7020 = 0.5908.
  4. n = (1.3793 + 0.5908)2 / (0.0705)2 = 781.6, rounded up to 782 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 <- 0.416107382550336                          # control proportion
p1 <- 0.486577181208054                          # 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(1632241)
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 = 782 (80% power), 1,046 (90% power)
 75% of observed effect: n per arm = 1,386 (80% power), 1,854 (90% power)
 50% of observed effect: n per arm = 3,105 (80% power), 4,156 (90% power)
power.prop.test: 781.6 
Simulated power at n = 782 per arm: 0.801 (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) 1.400.93 to 2.110.107

The registry’s own primary analysis is a logistic regression comparison reported as an odds ratio of 1.40, with a 95% confidence interval from 0.93 to 2.11 and p = 0.107. It is the covariate-adjusted analysis described in the endpoint record, including treatment group, baseline disease-activity category, baseline complement status, and region.

The recalculation is a simple unadjusted comparison based on the posted responder counts and denominators. Its p-value is 0.159, and the recalculated risk-difference interval includes zero. It uses a different measure and does not adjust for the listed covariates. The estimates and p-values therefore need not match exactly, even when they are based on the same posted endpoint.

The registry record does not flag a discrepancy between the reported analysis and the recalculation. The adjusted odds ratio is the result to use when describing the sponsor’s stated analysis; the recalculation provides a separate descriptive check on the posted counts. Neither result should be mistaken for evidence that the groups are identical, and neither by itself measures clinical importance.

15. Multiplicity, Missing Data and Analysis Populations

The registry record lists a primary endpoint and multiple secondary outcomes, but it does not report a complete multiplicity strategy for the family of statistical tests. Multiplicity matters when several outcomes, time points, or analyses are considered: without an appropriate plan, the chance of at least one apparently positive result by chance can increase. The record does not state whether a hierarchical testing sequence, adjustment procedure, or another method was used to control that risk. The reported p-values should therefore be interpreted outcome by outcome, with particular caution about treating secondary results as confirmatory.

The primary endpoint description does specify the analysis population and an important outcome rule. The modified intention-to-treat population was the safety population excluding participants assessed at sites 202196, 202513, or 107286. Drop-outs and treatment failures were assigned non-responder status. One participant in the belimumab group lacked a screening or baseline PGA assessment and did not contribute to the SRI or component analysis. These details clarify some aspects of the primary analysis but do not supply a complete account of missing data across the trial.

Other missing-data procedures, including any imputation beyond the stated non-responder rule, are not reported in the registry record. It is also not reported how missing covariates, incomplete follow-up, or participants with unavailable assessments were handled in every secondary analysis. For the time-to-event endpoint, censoring details are not reported. Those omissions limit independent assessment of the assumptions behind the estimates.

The registry record does not report the original sample-size justification or the full prespecified statistical analysis plan. It also does not report whether interim analyses were conducted. These are distinct issues: the planning illustrations use observed effects and stated illustrative assumptions, while the original design rationale and any interim-monitoring procedures are not reported in the registry record. No inference about those unreported procedures is warranted from the posted outcome results.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Placebo (DB Phase)3116518.8%
Belimumab 10 mg/kg (DB Phase)3633110.9%
Placebo to Belimumab 10 mg/kg (OL Phase)61175.1%
Belimumab 10 mg/kg to Belimumab 10 mg/kg (OL Phase)132425.4%
Participants with at least one serious adverse event
Serious adverse events by armPlacebo (DB Phase)18.8%Belimumab 10 mg/kg (DB Phase)10.9%Placebo to Belimumab 10 mg/kg…5.1%Belimumab 10 mg/kg to Belimum…5.4%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
Placebo (DB Phase)0 of 165
Belimumab 10 mg/kg (DB Phase)2 of 331
Placebo to Belimumab 10 mg/kg (OL Phase)0 of 117
Belimumab 10 mg/kg to Belimumab 10 mg/kg (OL Phase)0 of 242

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
Placebo (DB Phase)77 of 165
Belimumab 10 mg/kg (DB Phase)196 of 331
Placebo to Belimumab 10 mg/kg (OL Phase)23 of 117
Belimumab 10 mg/kg to Belimumab 10 mg/kg (OL Phase)49 of 242

Most frequent serious adverse event terms

Event termOrgan systemPlacebo (DB Phase)Belimumab 10 mg/kg (DB Phase)Placebo to Belimumab 10 mg/kg (OL Phase)Belimumab 10 mg/kg to Belimumab 10 mg/kg (OL Phase)
PneumoniaInfections and infestations6 of 1652 of 3310 of 1172 of 242
Systemic lupus erythematosusMusculoskeletal and connective tissue disorders1 of 1653 of 3310 of 1171 of 242
Lupus nephritisRenal and urinary disorders2 of 1651 of 3310 of 1170 of 242
PericarditisCardiac disorders3 of 1650 of 3310 of 1170 of 242
SLE arthritisMusculoskeletal and connective tissue disorders1 of 1652 of 3310 of 1170 of 242
DyspnoeaRespiratory, thoracic and mediastinal disorders0 of 1652 of 3310 of 1171 of 242
Abortion spontaneousPregnancy, puerperium and perinatal conditions1 of 1651 of 3310 of 1170 of 242
AsthmaRespiratory, thoracic and mediastinal disorders1 of 1651 of 3310 of 1170 of 242
CellulitisInfections and infestations1 of 1651 of 3310 of 1170 of 242
CostochondritisMusculoskeletal and connective tissue disorders0 of 1652 of 3310 of 1170 of 242

Most frequent non-serious adverse event terms

Event termOrgan systemPlacebo (DB Phase)Belimumab 10 mg/kg (DB Phase)Placebo to Belimumab 10 mg/kg (OL Phase)Belimumab 10 mg/kg to Belimumab 10 mg/kg (OL Phase)
Upper respiratory tract infectionInfections and infestations14 of 16548 of 3314 of 11720 of 242
Urinary tract infectionInfections and infestations19 of 16543 of 3317 of 11713 of 242
InfluenzaInfections and infestations17 of 16528 of 3317 of 11716 of 242
HeadacheNervous system disorders18 of 16539 of 3310 of 1170 of 242
DiarrhoeaGastrointestinal disorders9 of 16531 of 3310 of 1170 of 242
Back painMusculoskeletal and connective tissue disorders10 of 16516 of 3317 of 1173 of 242
SinusitisInfections and infestations9 of 16526 of 3310 of 1170 of 242
NauseaGastrointestinal disorders15 of 16518 of 3310 of 1170 of 242
InsomniaPsychiatric disorders10 of 16518 of 3310 of 1170 of 242
VomitingGastrointestinal disorders7 of 16519 of 3310 of 1170 of 242

Serious events with the highest arm-level rate: pneumonia (3.6%), pericarditis (1.8%), lupus nephritis (1.2%), urinary tract infection (1.2%), systemic lupus erythematosus (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.

For the double-blind phase, the serious adverse event figures list 31 affected participants among 165 at risk in the placebo group and 36 among 331 at risk in the belimumab group. The registry also records zero deaths in the placebo group and 2 in the belimumab group. These are counts with their listed at-risk denominators; they should be read as descriptive safety information rather than as a complete assessment of comparative risk.

The record lists pneumonia at 3.6% among the leading serious adverse event terms, followed by pericarditis at 1.8%, lupus nephritis at 1.2%, urinary tract infection at 1.2%, systemic lupus erythematosus at 0.9%, and acute myocardial infarction at 0.9%. These term percentages are registry entries and are not substitutes for the group-level serious-event counts.

Safety comparisons depend on outcome definitions, observation time, and how events were collected and attributed. The record does not provide enough detail in these figures to determine whether events were related to treatment or to make a complete adjusted comparison between groups. Open-label safety groups are also separate from the double-blind randomized comparison. These data describe what was recorded; they do not by themselves establish a causal explanation for an event.

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

The primary result describes the proportion meeting a composite SRI response definition at Week 52 in the modified intention-to-treat population. The posted response percentages were 41.6% for placebo plus standard therapy and 48.7% for belimumab 10 mg/kg plus standard therapy. The sponsor-reported adjusted odds ratio is 1.40, with a 95% confidence interval of 0.93 to 2.11 and p = 0.107. The interval includes the null value for an odds ratio, and the p-value is above the conventional 0.05 threshold.

This does not show that the treatments have identical effects. A result that does not cross a conventional statistical threshold can reflect a small effect, uncertainty in the estimate, or both. Conversely, a higher observed response percentage does not alone establish that the difference is reliable, clinically important, or caused by treatment. Statistical evidence and clinical importance are different questions, and the registry record does not supply a threshold for deciding what size of difference would be clinically meaningful.

The result also applies to a specific population, endpoint definition, treatment regimen, and analysis. The trial concerns adults of Black race with SLE, compares belimumab plus standard therapy with placebo plus standard therapy during the double-blind phase, and assesses response at Week 52. It does not, by itself, answer every question about other populations, treatment schedules, outcomes, or follow-up periods.

Secondary findings offer additional outcome-specific information but are limited by their different definitions and settings. The open-label extension is not equivalent to a continued blinded placebo comparison, and the record does not report a complete multiplicity plan. Safety counts should likewise be interpreted as recorded events rather than a full causal assessment. Taken together, the registry results support a careful description of the measured comparisons, not a broad treatment recommendation or a conclusion that every possible outcome has been resolved.

18. Why This Trial Matters Statistically

This study is statistically informative because its primary outcome is a composite response rather than a single measurement. The definition combines improvement in disease activity with limits on worsening in PGA and BILAG organ-domain scores. That structure makes the interpretation dependent on the full response rule: a participant must satisfy all its components to be counted as a responder. The resulting percentage is therefore meaningful only when read alongside that definition and the stated non-responder rule for drop-outs and treatment failures.

The record also illustrates why adjusted and unadjusted measures should be distinguished. The sponsor’s logistic regression reports an adjusted odds ratio, while the recalculation summarizes the posted counts without the listed covariate adjustment. Both can be useful, but they answer different statistical questions. Reporting the model, covariates, analysis population, and endpoint definition allows readers to understand what the estimate represents.

Precision is central to the interpretation. The primary confidence interval includes the odds-ratio null, and the corresponding p-value is above the conventional threshold. The result should not be reduced to the direction of the point estimate alone. The interval communicates that the data do not tightly isolate a single effect value, while the secondary time-to-event result likewise has an interval that includes its null value.

The trial record also gives an opportunity to distinguish randomized blinded evidence from open-label follow-up. Treatment histories differ in the extension, which changes what can be inferred from between-group outcome contrasts. Finally, the registry’s omissions around multiplicity, original sample-size planning, and some missing-data details matter: statistical interpretation depends not only on estimates, but also on how the analysis was planned and how incomplete observations were handled.

19. Limitations

The analysis population for the primary endpoint is narrower than the overall safety population because assessments from three sites were excluded. The registry provides the site identifiers and the mITT definition, but does not explain why those sites were excluded. That limits assessment of the reason for, and possible consequences of, the exclusion.

The endpoint is a composite, and its response classification depends on multiple components. The record specifies the response criteria and states that drop-outs and treatment failures were set to non-responders, but it does not report a complete account of missing-data handling for all components or secondary outcomes. One belimumab-arm participant lacked a screening or baseline PGA assessment and did not contribute to the SRI or component analysis.

The primary adjusted analysis and the unadjusted recalculation use different effect measures and adjustment sets. The registry reports the logistic model covariates, but does not provide a full statistical analysis plan or all information needed to independently assess model assumptions and diagnostics. The original sample-size justification, any interim analyses, and comprehensive multiplicity handling are not reported in the registry record.

Some secondary information comes from an open-label extension. The groups have different prior treatment histories, and this period does not preserve the same placebo-controlled randomized contrast as the double-blind phase. The available safety figures are descriptive and do not include enough information to establish treatment attribution or a fully adjusted comparative safety estimate. These limitations constrain interpretation of the posted results; they do not change the values reported for the specified analyses.

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

The registry record describes a completed Phase 4, multicenter, randomized, double-blind, placebo-controlled, parallel-group study of belimumab 10 mg/kg plus standard therapy versus placebo plus standard therapy in adults of Black race with SLE. Enrollment is recorded as 503. The primary endpoint was the Week 52 percentage achieving an SRI response with modified SLEDAI-2K scoring for proteinuria.

Primary response percentages were 41.6% with placebo and 48.7% with belimumab. The sponsor-reported adjusted odds ratio was 1.40, with a 95% confidence interval of 0.93 to 2.11 and p = 0.107. The confidence interval includes the odds-ratio null. The registry also reports secondary response, flare, open-label, and safety outcomes, each requiring interpretation in its own analysis setting.

The record does not report the original sample-size justification, complete multiplicity procedures, interim analyses, or all missing-data details. These omissions limit how fully the statistical plan can be evaluated from the registry record.

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