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Ankylosing Spondylitis Phase 3 Binary Endpoint NCT04156620

Study to Demonstrate the Efficacy, Safety and Tolerability of an Intravenous Regimen of Secukinumab Compared to Placebo in Subjects With Active axSpA: Complete Statistical Analysis

This analysis examines a randomized, placebo-controlled Phase III trial of intravenous secukinumab in active ankylosing spondylitis or non-radiographic axial spondyloarthritis. It focuses on the Week 16 ASAS40 response, the reported analysis, secondary outcomes, precision, planning illustrations and safety counts.

Trial start: 2019-12-11  ·  Enrollment: 527  ·  Sponsor: Novartis Pharmaceuticals
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 Study to Demonstrate the Efficacy, Safety and Tolerability of an Intravenous Regimen of Secukinumab Compared to Placebo in Subjects With Active axSpA (NCT04156620), a randomized phase 3 study. The primary outcome is Percentage of Participants Who Achieved an ASAS40 (Assessment of SpondyloArthritis International Society Criteria).

527
Enrollment
Phase 3
2
Arms
In the primary outcome
+18.0 pts
Risk difference
AIN457 6 mg/kg - 3 mg/kg i.v.
10.2 to 25.8 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT04156620
PhasePhase 3
ConditionAnkylosing Spondylitis
AllocationRandomized
Design modelParallel
MaskingQuadruple
Enrollment527
Arms in the primary outcome2
Lead sponsorNovartis Pharmaceuticals
Results postedYes

2. Clinical Question

The trial asked whether an intravenous secukinumab regimen produced a different Week 16 ASAS40 response proportion from an intravenous placebo regimen among participants with active ankylosing spondylitis or non-radiographic axial spondyloarthritis. The study description concerns participants whose disease remained active despite current or previous NSAID, DMARD and/or anti-TNF therapy. The primary endpoint assessed change from baseline to Week 16.

ASAS40 is a composite responder definition. A participant must achieve at least a 40% improvement and an absolute improvement of at least 20 units in at least three of four domains: back pain, patient global assessment of disease activity, physical function and inflammation. The remaining domain must not worsen. The endpoint therefore asks whether improvement is broad across several aspects of disease assessment, rather than reflecting a change in only one measure.

The comparison is between assigned treatment groups, not a comparison of each group with its own baseline alone. The central statistical question is the difference between the observed response proportions, together with the uncertainty around that difference. The registry reports the sponsor’s logistic-regression analysis as a marginal difference and also gives group response proportions with confidence intervals.

The registry describes missing responses for any reason in the primary full analysis set as non-responses. This makes the primary question one of response under that stated classification rule. The endpoint does not by itself address every possible measure of disease activity, function, quality of life, longer-term outcomes, or safety.

Population

Participants with active ankylosing spondylitis or non-radiographic axial spondyloarthritis; the primary endpoint population is the full analysis set.

Intervention

Intravenous secukinumab, described in the arm record as AIN457 6 mg/kg - 3 mg/kg i.v.

Comparator

Intravenous placebo, described in the arm record as Placebo - AIN457 3 mg/kg i.v.

Primary question

How did the Week 16 ASAS40 response proportion compare between the secukinumab and placebo groups?

3. Trial Design

NCT04156620 is a completed Phase III study sponsored by Novartis Pharmaceuticals. The registry describes a randomized, parallel-group, placebo-controlled, multicenter study. Its official title calls it double-blind, while the registry’s masking classification is quadruple. Both descriptions are recorded, but the specific roles covered by the masking classification are not reported in the registry record.

The registry records an enrollment of 527. The primary endpoint arm summaries include 264 participants in the secukinumab arm and 262 in the placebo arm. The study population was described as people with active ankylosing spondylitis or non-radiographic axial spondyloarthritis. The condition field lists ankylosing spondylitis, while the study summary and official title also include non-radiographic axial spondyloarthritis.

The primary comparison was scheduled from baseline to Week 16. The study description says data were collected for up to 52 weeks to further support assessment of efficacy and safety. The registry lists the primary endpoint as the percentage of participants achieving ASAS40 and identifies the full analysis set, with missing responses for any reason imputed as non-responders.

The registry records the study start as 2019-12-11, primary completion as 2022-02-17, and status as completed. The original sample-size justification, the assumptions used in the trial’s design, details of any interim analyses, and the complete statistical analysis plan are not reported in the registry record. The planning illustrations associated with the posted results are separate from the trial’s original design calculations.

The posted arm labels include AIN457, while the intervention descriptions identify secukinumab and placebo intravenous regimens. The record lists 12 outcome measures and 12 analyses, with 11 secondary outcomes posted. These registry totals do not establish that every outcome was measured or analyzed in an identical way at every time point.

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: 769 participants were screened for the study and 527 participants were randomized. However, one participant was mis-randomized and discontinued prior to dosing and is not included in the table below.

Overall Study

StageAIN457 6 mg/kg - 3 mg/kg i.v.Placebo - AIN457 3 mg/kg i.v.
STARTED264262
Completed Period 1255253
Started Period 2255251
Completed Period 2233235
COMPLETED227233
NOT COMPLETED3729

Reasons for not completing this period:

ReasonAIN457 6 mg/kg - 3 mg/kg i.v.Placebo - AIN457 3 mg/kg i.v.
Adverse event - TP 152
Lost to follow-up TP 111
Progressive disease - TP 101
Subject decision - TP 135
Adverse event - TP 256
Death - TP 210
Lost to follow-up - TP 252
Physician decision - TP 242
Pregnancy - TP 211
Subject decision - TP 2119
New therapy for study indication - TP 210

Analysis population for the primary outcome, as defined in the registry: Full analysis set with missing responses for any reason imputed as non-responders.

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.

CharacteristicUnitAIN457 6 mg/kg - 3 mg/kg i.v.Placebo - AIN457 3 mg/kg i.v.Total
Participants analysed264262526
Age, Customized: < 65 yearsParticipants253257510
Age, Customized: 65 - 75 yearsParticipants8412
Age, Customized: >= 75 yearsParticipants314
Sex: Female, Male: FemaleParticipants9984183
Sex: Female, Male: MaleParticipants165178343
Race/Ethnicity, Customized: WhiteParticipants180179359
Race/Ethnicity, Customized: Black or African AmericanParticipants7613
Race/Ethnicity, Customized: AsianParticipants5947106
Race/Ethnicity, Customized: American Indian or Alaska NativeParticipants172542
Race/Ethnicity, Customized: MultipleParticipants156
Disease condition: Ankylosing spondylitisParticipants208205413
Disease condition: Non-radiographic axial spondylarthritisParticipants5657113
Weightkg77.61 (SD 18.006)78.08 (SD 18.444)77.85 (SD 18.210)

6. Primary Endpoint

The registry lists the primary outcome as Percentage of Participants Who Achieved an ASAS40 (Assessment of SpondyloArthritis International Society Criteria), measured over Baseline to 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 achieving ASAS40 from baseline to Week 16. ASAS40 requires at least a 40% improvement and at least a 20-unit absolute improvement, on the specified 0–100 ranges, in at least three of four domains: back pain, patient global assessment of disease activity, physical function measured by BASFI, and inflammation based on BASDAI items. There must be no worsening in the remaining domain.

This is a composite response definition: success depends on improvement across multiple domains and on the absence of worsening in the fourth. Such a definition can summarize several aspects of a condition in one endpoint, but the resulting percentage does not show the size of change in each domain separately. Nor does it describe participants who improved without meeting the full responder rule.

The registry also describes six ASAS domains, including two additional domains concerning spinal mobility and C-reactive protein. The primary ASAS40 definition itself is based on the four main domains. The primary population is the full analysis set, with missing responses for any reason counted as non-responses. The endpoint is therefore interpreted as a group-level comparison of the proportions meeting this specific rule by Week 16, not as a complete account of every clinical outcome or the course of each participant.

ASAS40 is used to represent a meaningful response across several assessed areas rather than a single isolated measurement. The registry record does not report the rationale used to select this endpoint or its role in the trial’s original sample-size justification.

7. Results Posted in the Registry

Risk difference: AIN457 6 mg/kg - 3 mg/kg i.v.

+18.0

95% CI: 10.2 to 25.8 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals15.422.229.136.042.949.8AIN457 6 mg/kg - 3 mg/kg i.v. (n=264)Placebo - AIN457 3 mg/kg i.v. (n=262)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)AIN457 6 mg/kg - 3 mg/kg i.v.-2.073.939.92162228risk 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 Who Achieved Ankylosing Spondylitis Disease Activity Score (ASDAS)-C-Reactive Protein (CRP) Major ImprovementBinary EndpointRisk difference+20.4 pts (14.1 to 26.7)55 per arm
The Change From Baseline in Total Bath Ankylosing Spondylitis Disease Activity Index (BASDAI)Continuous EndpointMean difference-1.01 (-1.41 to -0.61)80 per arm
The Change From Baseline in Total Bath Ankylosing Spondylitis Functional Index (BASFI)Continuous EndpointMean difference-0.94 (-1.35 to -0.53)97 per arm

Percentage of Participants Who Achieved Ankylosing Spondylitis Disease Activity Score (ASDAS)-C-Reactive Protein (CRP) Major Improvement

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)AIN457 6 mg/kg - 3 mg/kg i.v.-2.144.0610162329risk difference (percentage points) vs control (95% CI)

The Change From Baseline in Total Bath Ankylosing Spondylitis Disease Activity Index (BASDAI)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)AIN457 6 mg/kg - 3 mg/kg i.v.-1.52-1.19-0.87-0.54-0.210.11mean difference vs control (95% CI)

The Change From Baseline in Total Bath Ankylosing Spondylitis Functional Index (BASFI)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)AIN457 6 mg/kg - 3 mg/kg i.v.-1.46-1.14-0.83-0.52-0.210.11mean difference vs control (95% CI)

The numerical secondary results posted for Week 16 point in a direction consistent with the primary comparison. The secukinumab group has a higher reported percentage achieving ASDAS-CRP major improvement, while the reported mean changes for BASDAI and BASFI are more negative in that group than in the placebo group. The sponsor-reported secondary analyses identify superiority for these outcomes.

These results add information about disease activity and function beyond the ASAS40 responder definition. They do not simply repeat the same outcome: ASDAS-CRP major improvement is another responder measure, while BASDAI and BASFI are continuous change-from-baseline measures. Their agreement in direction provides context for the primary finding, but does not establish that every outcome domain or every participant changed similarly.

The registry lists additional secondary outcomes, including ASAS 5/6, SF-36 PCS, ASQol, hsCRP and ASAS20. Numerical findings for all of those outcomes are not reported in the information available in the registry record. The record lists 11 secondary outcomes posted; that count does not mean all listed outcomes have detailed numerical results in the record.

Unadjusted secondary p-values carry less weight when several outcomes are examined because the chance of finding at least one apparently notable result can increase with multiple testing. Whether and how the trial controlled multiplicity across secondary outcomes is not reported in the registry record. Secondary findings are therefore best treated as supportive context rather than independent confirmation on the same footing as the primary endpoint.

The secondary outcomes also differ in scale and analysis method. Percentages of responders, score changes and laboratory measurements answer related but distinct questions. The results should not be combined into a single effect estimate or treated as interchangeable measures of one underlying response.

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

9. Statistical Interpretation

Clinical Biostats interpretation

For the primary endpoint, the posted response proportion was 40.85 in the secukinumab arm and 22.94 in the placebo arm. The registry-reported logistic-regression analysis gives a marginal difference of 17.91, with a 95% confidence interval from 10.12 to 25.71 and p < 0.001. The interval is entirely above zero, and the reported p-value is small under the model used for that analysis. These results describe the Week 16 ASAS40 comparison in this study population; they do not establish outcomes beyond the study’s recorded measures or time point.

An unadjusted recalculation from the posted summary statistics gives a risk difference of 0.180, with a 95% confidence interval from 0.102 to 0.258 and p < 0.001. The posted arm proportions and the sponsor’s adjusted marginal difference are close in scale, but they are not identical quantities: the sponsor reports a logistic-regression marginal difference, whereas the recalculation is unadjusted. The registry does not flag a discrepancy between these analyses.

The two groups’ confidence intervals for their individual response proportions are not a substitute for the confidence interval for the between-group difference. The directly reported comparison interval is the more relevant interval for judging the uncertainty in the contrast. It is also important not to interpret a p-value as the probability that the null hypothesis is true, or as a measure of how large or important the observed difference is.

The posted secondary results follow a broadly consistent direction for the outcomes with numerical results available: the secukinumab group has a higher reported percentage for ASDAS-CRP major improvement, and more negative mean changes for BASDAI and BASFI. The sponsor-reported analyses for these outcomes also identify superiority. Those secondary findings add context but do not replace the primary endpoint, and unadjusted secondary tests warrant more caution when multiple outcomes are examined.

The posted serious adverse event counts are 32 among 517 at risk in the Any AIN457 group and 3 among 261 at risk in the Placebo Until Week 16 group. Other adverse event counts are 172 and 35, respectively, with the same group-specific denominators; deaths are recorded as 1 and 0. These counts should be read with the group labels and the study’s treatment timing in mind. The registry record does not provide enough detail in these summary figures to infer causality or make a complete safety comparison.

Overall, the posted statistics show a higher Week 16 ASAS40 response proportion in the secukinumab group and a positive sponsor-reported marginal difference with an interval that excludes zero. The precision and interpretation remain bounded by the endpoint definition, analysis population, available registry reporting and the fact that the primary comparison is at Week 16.

10. Statistical Methods Explained

The primary endpoint is binary: each participant either meets the ASAS40 responder definition or does not. The group summaries are percentages, and the primary comparison is a difference in response proportions. This makes the result interpretable as a contrast in the fraction of participants meeting the composite response rule, rather than a comparison of average scores.

What the primary comparison estimates

The registry-reported method is logistic regression, with the reported parameter described as a marginal difference. Logistic regression models the probability of a binary outcome using the log odds scale, then can express a group contrast on the probability scale as a marginal difference. The registry gives the resulting estimate as 17.91, with a 95% confidence interval from 10.12 to 25.71 and p < 0.001. Details of model covariates, any stratification factors, and the precise marginalization procedure are not reported in the registry record.

The unadjusted recalculation uses posted event counts and group sizes to estimate a risk difference directly from the observed summaries. It does not reproduce a model-adjusted analysis. The recalculated estimate is 0.180, with a 95% confidence interval from 0.102 to 0.258 and p < 0.001. This is a simple comparison based on the posted summaries, not a substitute for the sponsor’s stated regression analysis.

How to read the p-value

General explanation: a p-value describes how compatible the observed data, or data more extreme, are with a specified null model and its assumptions. It is not the probability that the null hypothesis is true, nor does it measure the magnitude or clinical importance of an effect. The sponsor-reported p-value is tied to its logistic-regression analysis; the recalculated p-value is tied to the unadjusted comparison. Their numerical thresholds should therefore be understood in the context of their respective methods.

The registry classifies the primary analysis as a superiority analysis. That label describes the direction of the statistical question in the reported analysis, not a complete interpretation of the endpoint, the uncertainty, or the practical meaning of the observed result. A confidence interval alongside the point estimate supplies information about the range of effects compatible with the analysis at its stated confidence level.

Why a binary endpoint matters

General explanation: binary responder outcomes make a threshold-based question easy to state, but they discard some information about how far individual participants are from the threshold. Two participants with different degrees of improvement may both count as responders, while a participant just short of the rule counts as a non-responder. The reported percentage therefore describes how often the full rule was met, not the distribution of every underlying measurement.

ASAS40 itself combines several domains and requires no worsening in the remaining domain. That construction reflects a multi-domain response, but it also means that the responder proportion can be affected by any one component’s measurement or missingness. In this trial, the primary analysis specifies that missing responses for any reason are imputed as non-responders. Details of the imputation implementation beyond that rule are not reported in the registry record.

Meaning of the secondary continuous analyses

The posted BASDAI and BASFI results are changes from baseline summarized as least-squares means, with standard errors for the arm estimates. Their sponsor-reported comparisons use mixed models analysis and report LS mean change, confidence intervals and p-values. General explanation: a least-squares mean is a model-based mean, rather than necessarily the raw arithmetic average. A mixed model can account for the structure of repeated measurements, but the specific model structure, covariance assumptions, covariates and handling of missing continuous outcomes are not reported in the registry record.

The unadjusted recalculations for those outcomes are based on posted summaries. The record marks the pooled standard deviation as approximate, so standardized summaries derived from it are approximate as well. Such recalculations are useful for context, but they should not be treated as a reproduction of the sponsor’s mixed-model analysis.

Over-dispersion and count models

General explanation: over-dispersion occurs when count data vary more than a simple model assumes. In a count endpoint, this can make standard errors too small if the model does not allow for that extra variation. The primary endpoint in this trial is a binary percentage, not a count-rate endpoint, and the posted primary analysis is logistic regression. The registry does not report an over-dispersion model for the primary endpoint.

Finally, the registry record does not report the complete prespecified statistical analysis plan, whether interim analyses were conducted, the original sample-size calculation, or the adjustment strategy for all secondary outcomes. These omissions limit how completely the posted analyses can be situated within the trial’s initial design decisions.

11. Confidence Intervals and Precision

The sponsor-reported primary marginal difference is 17.91, with a 95% confidence interval from 10.12 to 25.71. The interval gives a range of values reasonably compatible with the model and data under the analysis assumptions. Because the interval is entirely above zero, the reported comparison supports a positive difference in the response proportions for the secukinumab group relative to placebo under that analysis.

The unadjusted recalculation gives a risk difference of 0.180, with a 95% confidence interval from 0.102 to 0.258. This interval also excludes zero. The sponsor and recalculated intervals arise from different methods, so the difference between their endpoints should not be interpreted as an inconsistency in the posted record. The registry does not identify a discrepancy.

The individual response-proportion intervals are 34.94 to 46.76 for secukinumab and 17.86 to 28.02 for placebo. These intervals describe uncertainty for each arm separately. For inference about the contrast, the confidence interval for the marginal difference or risk difference is the appropriate direct summary, rather than a visual comparison of the two arm intervals.

General explanation: a confidence interval is not a guarantee that the true value lies in the particular interval, nor does a 95% interval mean that 95% of participants’ outcomes fall within its limits. Its interpretation depends on the statistical procedure and its assumptions. Precision concerns how narrowly the effect is estimated; it does not establish clinical importance or eliminate bias, measurement limitations or uncertainty from unreported analysis details.

The Week 16 endpoint and its responder definition also constrain what these intervals mean. They quantify uncertainty about a group-level response contrast for this endpoint and time frame, not all possible effects across the full 52-week data collection period or every secondary outcome.

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 effect104139
75% of the observed effect179239
50% of the observed effect385514
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect1002005001,00040%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, 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: AIN457 6 mg/kg - 3 mg/kg i.v..

The planning figures are illustrations based on the observed effect, not the trial’s original design calculation. For the binary primary endpoint, the figures refer to participants per arm, not total events. The listed assumptions are a two-sided significance level of 0.05, equal allocation between the two arms, a normal approximation, and an effect to detect equal to the stated fraction of the observed effect. The trial’s own original sample-size assumptions are not reported in the registry record.

The 80% power column means the illustrated number of participants per arm for a design that would have an 80% probability of detecting the specified effect under the planning assumptions, if that effect and those assumptions held. The 90% column uses a higher target probability of detecting that effect. These are design-planning concepts; they are not probabilities that the trial’s conclusion is correct.

The illustrations use 100%, 75% and 50% of the observed effect. As the assumed effect becomes smaller, more participants are needed to detect it at the same target power and significance level. For example, the primary endpoint illustration lists 104 participants per arm for 80% power at 100% of the observed effect, 179 for planning for 75% of the observed effect, and 385 for planning for 50% of the observed effect. For 90% power, the corresponding figures are 139, 239 and 514 participants per arm.

These calculations are sensitive to the planning assumptions, including the target effect and the analysis approximation. They do not account for unreported details of the trial’s original design, and should not be read as a reconstruction of that design. This is not observed power.

13. How the Sample Size Is Derived

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

Formula

n = [ 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 = 0.229; treatment proportion p1 = 0.409; average p̄ = 0.319.
  2. First term: z1−α/2 × √[2p̄(1−p̄)] = 1.96 × 0.6592 = 1.2920.
  3. Second term: z1−β × √[p0(1−p0) + p1(1−p1)] = 0.842 × 0.6468 = 0.5443.
  4. n = (1.2920 + 0.5443)2 / (0.1801)2 = 104.0, rounded up to 104 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 <- 0.229007633587786                          # control proportion
p1 <- 0.409090909090909                          # 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(4156620)
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 = 104 (80% power), 139 (90% power)
 75% of observed effect: n per arm = 179 (80% power), 239 (90% power)
 50% of observed effect: n per arm = 385 (80% power), 514 (90% power)
power.prop.test: 104 
Simulated power at n = 104 per arm: 0.797 (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, LogisticMarginal difference 17.9110.12 to 25.71< 0.001

The sponsor’s reported primary analysis uses logistic regression and gives a marginal difference of 17.91, with a 95% confidence interval from 10.12 to 25.71 and p < 0.001. The posted analysis is classified as superiority. This is the sponsor-reported model-based comparison in the registry record.

The recalculation uses the posted group summaries and gives an unadjusted risk difference of 0.180, with a 95% confidence interval from 0.102 to 0.258 and p < 0.001. It is a simple re-analysis of summary statistics and does not reproduce the logistic-regression model or any adjustments included in it. The estimates are close in scale, but the methods and reported quantities are not identical.

The registry does not flag a discrepancy between the sponsor analysis and the recalculation. The sponsor’s result should therefore be understood as the reported inferential analysis, while the recalculation offers a transparent unadjusted check based on the posted summaries. Neither result should be interpreted without its endpoint definition, analysis population and confidence interval.

15. Multiplicity, Missing Data and Analysis Populations

The primary endpoint is clearly identified as Week 16 ASAS40, and its primary population and missing-response rule are described. The registry does not report a complete statistical analysis plan, the planned hierarchy among primary and secondary tests, or a multiplicity adjustment strategy for secondary outcomes. It is therefore not possible to establish from the registry record whether the reported secondary p-values were adjusted for the number of outcomes or comparisons.

General explanation: when several hypotheses are tested, the chance of at least one small p-value under a collection of null hypotheses can be greater than for a single test. Prespecified testing hierarchies or other multiplicity procedures can address that issue. Without reported details, secondary p-values should be read as nominal evidence and interpreted cautiously, not as if they were necessarily protected from multiplicity.

For the primary endpoint, the record states that participants in the full analysis set with missing responses for any reason were imputed as non-responders. This is a specific rule for the primary binary outcome. The registry does not report further implementation details, such as the number of missing responses or sensitivity analyses testing alternative assumptions.

The registry does not describe missing-data handling for the secondary outcomes in the details available for this analysis. In particular, the primary non-responder imputation rule should not be assumed to apply to the continuous BASDAI and BASFI analyses or every other secondary measure. The mixed models analysis is named for those continuous outcomes, but model specification and missing-data assumptions are not reported in the registry record.

The analysis populations for secondary outcomes, the use of covariate adjustment, any interim analyses, and the original sample-size justification are also not reported in the registry record. These gaps limit assessment of how closely posted analyses follow the full prespecified plan and whether the inferential evidence across outcomes was controlled as intended.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Any AIN457325176.2%
Placebo Until Week 1632611.1%
Participants with at least one serious adverse event
Serious adverse events by armAny AIN4576.2%Placebo Until Week 161.1%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
Any AIN4571 of 517
Placebo Until Week 160 of 261

Other (non-serious) adverse events

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

ArmParticipants affected of at risk
Any AIN457172 of 517
Placebo Until Week 1635 of 261

Most frequent serious adverse event terms

Event termOrgan systemAny AIN457Placebo Until Week 16
Myocardial infarctionCardiac disorders2 of 5170 of 261
Abdominal painGastrointestinal disorders2 of 5170 of 261
Colitis ulcerativeGastrointestinal disorders2 of 5170 of 261
CellulitisInfections and infestations2 of 5170 of 261
AnaemiaBlood and lymphatic system disorders1 of 5170 of 261
Acute left ventricular failureCardiac disorders1 of 5170 of 261
Coronary artery occlusionCardiac disorders1 of 5170 of 261
TachycardiaCardiac disorders1 of 5170 of 261
Tympanic membrane perforationEar and labyrinth disorders1 of 5170 of 261
ChoroiditisEye disorders1 of 5170 of 261

Most frequent non-serious adverse event terms

Event termOrgan systemAny AIN457Placebo Until Week 16
COVID-19Infections and infestations65 of 51710 of 261
NasopharyngitisInfections and infestations32 of 5177 of 261
Upper respiratory tract infectionInfections and infestations22 of 5176 of 261
HeadacheNervous system disorders17 of 5179 of 261
DiarrhoeaGastrointestinal disorders18 of 5175 of 261
ArthralgiaMusculoskeletal and connective tissue disorders20 of 5171 of 261
NauseaGastrointestinal disorders12 of 5172 of 261
PharyngitisInfections and infestations13 of 5171 of 261
RhinitisInfections and infestations11 of 5172 of 261
Urinary tract infectionInfections and infestations11 of 5171 of 261

Serious events with the highest arm-level rate: myocardial infarction (0.4%), abdominal pain (0.4%), colitis ulcerative (0.4%), cellulitis (0.4%), cholecystitis (0.4%).

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 event counts for Any AIN457 and Placebo Until Week 16 groups. In the Any AIN457 group, 32 serious adverse events are recorded among 517 participants at risk; in the Placebo Until Week 16 group, 3 are recorded among 261 at risk. The other adverse event counts are 172 among 517 and 35 among 261, respectively. Deaths are recorded as 1 and 0.

These are group-level counts with the listed denominators. The group labels distinguish Any AIN457 from placebo through Week 16, so the figures should not be treated as if they necessarily represent identical exposure periods. The registry also lists six serious-event terms at 0.4% each: myocardial infarction, abdominal pain, ulcerative colitis, cellulitis, cholecystitis and tonsillitis.

These summaries do not show event timing, duration, severity beyond the serious classification, whether events were judged treatment-related, or whether one participant could contribute more than one event. Those details are not reported in the registry record. The counts are descriptive safety information and do not by themselves establish cause or permit a complete comparison of risk.

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

The posted primary result describes the proportion of participants meeting the ASAS40 composite response rule at Week 16. The secukinumab arm’s reported percentage is 40.85, compared with 22.94 in the placebo arm. The sponsor’s logistic-regression analysis reports a marginal difference of 17.91, with a 95% confidence interval from 10.12 to 25.71 and p < 0.001. The unadjusted recalculation also yields a confidence interval above zero.

This is evidence about a group-level difference for this specific endpoint, population, treatment regimen and time point. It does not show that every participant in the secukinumab group met the response definition, or that no participant in the placebo group did. Nor does the responder proportion describe the full range of changes among people who did not meet the threshold.

The result does not by itself establish the size of change in each ASAS domain, explain which components drove the composite response, or answer questions about every secondary outcome. The primary endpoint’s missing-response rule counts missing responses as non-responses, and the record does not provide the number missing or sensitivity analyses that might show how alternative assumptions affect the result.

The study collected data for up to 52 weeks, but the primary comparison is baseline to Week 16. The result should not be extended to later time points based only on the primary endpoint. Similarly, the registry’s safety counts are descriptive summaries and do not establish whether an event was caused by a treatment.

Statistical evidence and clinical importance are related but distinct. The confidence interval conveys uncertainty about the estimated group contrast under the analysis assumptions; it does not determine whether the magnitude is important to patients or how it compares with other evidence. The registry record does not provide a threshold for clinical importance or the full contextual information needed to resolve that question.

18. Why This Trial Matters Statistically

This study illustrates how a clinical trial can pair a threshold-based composite endpoint with both model-based and unadjusted summaries. ASAS40 asks whether a participant improves across several domains without worsening in the remaining domain, while the group comparison estimates how frequently that full response rule was met in each randomized arm.

The primary result also demonstrates why the comparison estimate and its confidence interval matter alongside the individual arm percentages. The sponsor reports a marginal difference with an interval that excludes zero, while the unadjusted recalculation provides a related but methodologically distinct contrast. Reading both clarifies what is directly reported and what can be checked from the posted summaries.

The trial’s secondary results show how different outcome types can provide complementary context: responder proportions, disease activity scores and functional scores are not interchangeable, even when their directions align. They also highlight the importance of multiplicity reporting when multiple outcomes are tested. Without the full plan, secondary results should not be treated as equivalent to a multiplicity-controlled primary finding.

Finally, planning illustrations based on observed effects are not the same as a prospective sample-size justification. Showing how assumed smaller effects require more participants helps explain design sensitivity, but the original design assumptions are not reported in the registry record. Separating design planning, observed results and post hoc illustrations is important for sound statistical interpretation.

19. Limitations

The registry record does not report the complete statistical analysis plan, including model covariates, the precise marginalization procedure for logistic regression, or the planned approach to multiplicity across secondary outcomes. It also does not report the original sample-size justification or whether interim analyses were conducted. These omissions limit assessment of the full prespecified analysis strategy.

The primary endpoint has a specific threshold-based composite definition. It summarizes response across four domains but does not show the separate contribution of each domain or the distribution of improvements among non-responders. Missing responses in the primary full analysis set are classified as non-responses, but the number of missing values and sensitivity analyses are not reported in the registry record.

The posted secondary results do not provide numerical findings for every listed secondary outcome in the available record. Secondary outcome populations and missing-data procedures are not fully described. Multiplicity handling is also not reported, so the secondary p-values should not be treated as necessarily adjusted for multiple testing.

The primary endpoint is at Week 16, although the study collected data for up to 52 weeks. A Week 16 comparison does not itself characterize later outcomes. The serious-event summary lacks details about timing, event-level exposure, treatment attribution and whether individual participants experienced multiple events. Those counts therefore provide only limited safety context.

The registry title describes the study as double-blind, while its masking classification is quadruple. The record does not explain the roles covered by that classification. This is a reporting detail that cannot be resolved from the available registry information.

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23. Record Summary

NCT04156620 is a completed, randomized, parallel-group, placebo-controlled Phase III study of intravenous secukinumab in participants with active ankylosing spondylitis or non-radiographic axial spondyloarthritis. The registry records 527 enrolled participants and identifies Novartis Pharmaceuticals as sponsor.

The primary endpoint was the Week 16 percentage achieving ASAS40 in the full analysis set, with missing responses for any reason imputed as non-responders. The sponsor-reported logistic-regression marginal difference was 17.91, with a 95% confidence interval from 10.12 to 25.71 and p < 0.001. The unadjusted recalculation gives a risk difference of 0.180, with a 95% confidence interval from 0.102 to 0.258 and p < 0.001.

Posted secondary results for ASDAS-CRP major improvement, BASDAI and BASFI have directions consistent with the primary comparison. The registry also reports serious adverse event and other adverse event counts, but the safety summaries do not establish causality. Full details of the original sample-size rationale, multiplicity plan and several analysis procedures are not reported in the registry record.

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