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Psoriatic Arthritis Phase 3 Binary Endpoint NCT01307423

Efficacy and Safety Study of Apremilast to Treat Active Psoriatic Arthritis (PsA): Complete Statistical Analysis

This randomized, placebo-controlled phase 3 trial evaluated apremilast 20 mg and 30 mg for active psoriatic arthritis in participants not previously treated with DMARDs. The primary analysis compared ACR20 response at Week 16, with additional clinical outcomes and safety observations also recorded.

Trial start: 2010-12-09  ·  Enrollment: 529  ·  Sponsor: Amgen
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 Study of Apremilast to Treat Active Psoriatic Arthritis (PsA) (NCT01307423), a randomized phase 3 study. The primary outcome is Percentage of Participants With an American College of Rheumatology 20% (ACR20) Response at Week 16.

529
Enrollment
Phase 3
3
Arms
In the primary outcome
+12.1 pts
Risk difference
Apremilast 20mg
3.5 to 20.7 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT01307423
PhasePhase 3
ConditionPsoriatic Arthritis
AllocationRandomized
Design modelParallel
MaskingQuadruple
Enrollment529
Arms in the primary outcome3
Lead sponsorAmgen
Results postedYes

2. Clinical Question

Population

Participants with active psoriatic arthritis who had not previously been treated with disease-modifying antirheumatic drugs (DMARDs). The primary endpoint population was the protocol-defined full analysis set: randomized participants, excluding one participant randomized in error who received no investigational product. The enrollment recorded for the trial was 529.

Intervention

Apremilast 20 mg twice daily by mouth or apremilast 30 mg twice daily by mouth. The registry describes a randomized, parallel-group trial with quadruple masking.

Comparator

Placebo during the placebo-controlled phase. The registry also describes placebo tablets administered twice daily in the treatment-group descriptions.

Primary question

What percentage of participants met the ACR20 response definition at Week 16 in each group, and how did the apremilast groups compare with placebo? ACR20 required improvement in tender and swollen joint counts and in at least three of five additional measures. The endpoint captures a defined combination of joint findings and patient- or clinician-assessed disease features; it does not describe every aspect of psoriatic arthritis or every outcome that may matter to a participant.

3. Trial Design

The registry describes a phase 3, multicenter, randomized, double-blind, placebo-controlled, parallel-group study. Its masking field specifies quadruple masking. Participants were assigned to placebo, apremilast 20 mg, or apremilast 30 mg. The active treatments were administered orally twice daily. The trial title and summary identify the study population as people with active psoriatic arthritis who had not previously received DMARD treatment.

The registry records enrollment of 529 and lists the study as completed. The recorded study start date is 2010-12-09, and the primary completion date is 2013-02-21. Those dates describe the registry record; they do not, by themselves, specify how long each participant was followed. The primary outcome was assessed at Week 16. ACR20 response at Week 24 and several other outcomes at Week 16 or Week 24 are also listed.

The arm descriptions include placebo-controlled treatment and placebo tablets administered alongside apremilast tablets. The registry record does not report the detailed allocation ratio, the sequence-generation procedure, the exact masking roles, or the original sample-size justification. It also does not report enough detail to reconstruct the complete visit schedule or the full treatment-switching arrangements. Those design details should not be inferred from the arm labels alone.

For the primary outcome, the registry defines the analysis population as randomized participants specified by the protocol, except for one participant randomized in error who received no investigational product. It notes that participants withdrawing early or lacking sufficient data for a definitive response were part of the endpoint description, but the exact procedure used to assign or handle their outcomes is not reported in 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: This study consisted of a 24-week randomized, double-blind, placebo-controlled phase, a 28-week randomized, double-blind active treatment phase and a 4-year open-label safety phase, for an overall study duration of 5 years.

Only the first 6 of 9 groups are shown.

Placebo-controlled Phase (Week 0 - 24)

StagePlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
STARTED176175177000
Received Treatment176175175000
Completed Week 16166168166000
Early Escape at Week 161037379000
COMPLETED156160155000
NOT COMPLETED201522000

Reasons for not completing this period:

ReasonPlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
Adverse Event446000
Lack of Efficacy132000
Withdrawal by Subject8410000
Randomization Error001000
Lost to Follow-up512000
Protocol Violation100000
Other120000
Non-compliance with Study Drug011000

Active Treatment Phase (Week 25-52)

StagePlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
STARTED0151150462646
COMPLETED0132141382343
NOT COMPLETED0199833

Reasons for not completing this period:

ReasonPlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
Adverse Event032220
Lack of Efficacy055310
Non-compliance with Study Drug000001
Withdrawal by Subject0112001
Lost to Follow-up000200
Other000100
Protocol Violation000001

Long-term Safety Phase (Year 2)

StagePlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
STARTED0122134000
COMPLETED099109000
NOT COMPLETED02325000

Reasons for not completing this period:

ReasonPlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
Adverse Event027000
Lack of Efficacy075000
Noncompliance with study drug001000
Withdrawal by Subject01312000
Miscellaneous010000

Long-term Safety Phase (Year 3)

StagePlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
STARTED099109000
COMPLETED09091000
NOT COMPLETED0918000

Reasons for not completing this period:

ReasonPlaceboApremilast 20 mgApremilast 30 mgPlacebo/ Apremilast 20 mg EEPlacebo / Apremilast 20 mg XOPlacebo / Apremilast 30 mg EE
Adverse Event012000
Lack of Efficacy024000
Noncompliance with Study Drug011000
Withdrawal by Subject028000
Lost to Follow-up023000
Miscellaneous010000

Analysis population for the primary outcome, as defined in the registry: Full analysis set consisting of all participants randomized as specified in the protocol; one participant randomized in error and not receiving any dose of investigational product was excluded. Participants who withdrew early or did not have sufficient data for a definitive determination of response status at Week 16 were counted 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.

Population: Full Analysis Set was defined as participants who were randomized as specified in the protocol; one participant who was randomized in error and did not receive any dose of investigational product was excluded.

CharacteristicUnitPlaceboApremilast 20mgApremilast 30mgTotal
Participants analysed176175176527
Age, Continuousyears50.5 (SD 11.58)49.2 (SD 12.00)48.4 (SD 12.52)49.4 (SD 12.05)
Sex: Female, Male: FemaleParticipants869596277
Sex: Female, Male: MaleParticipants908080250
Duration of Psoriatic Arthritisyears3.42 (SD 5.103)3.19 (SD 4.706)3.62 (SD 5.041)3.41 (SD 4.947)

6. Primary Endpoint

The registry lists the primary outcome as Percentage of Participants With an American College of Rheumatology 20% (ACR20) Response at Week 16, measured over Baseline and Week 16.

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

The primary endpoint was the percentage of participants with an ACR20 response at Week 16, assessed from baseline to Week 16. A participant counted as a responder only when all of the stated response conditions were met: at least 20% improvement in the 78-joint tender count, at least 20% improvement in the 76-joint swollen count, and at least 20% improvement in three or more of five additional measures. Those measures covered pain, patient and physician global assessments of disease activity, physical function assessed with the HAQ-DI, and C-reactive protein.

ACR20 is a binary endpoint: each participant is classified as either meeting or not meeting the response definition. The reported percentage therefore describes how often the full threshold was reached in each group. It is a composite definition, not a measure of the average change in each component. A participant who improves in some components but does not meet every required threshold is not counted as an ACR20 responder.

Using a prespecified response definition allows the comparison to focus on a consistent combination of joint counts and other disease assessments. At the same time, the result does not show which component accounts for a group difference, nor does it capture outcomes outside the definition. The registry record does not report the detailed rationale for selecting this endpoint or the original statistical planning for it.

7. Results Posted in the Registry

Risk difference: Apremilast 20mg

+12.1

95% CI: 3.5 to 20.7 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals8.615.021.427.734.140.5Placebo (n=176)Apremilast 20mg (n=175)Apremilast 30mg (n=176)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Apremilast 20mgApremilast 30mg-1.883.579.01142025risk 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
Change From Baseline in Health Assessment Questionnaire- Disability Index [HAQ-DI]) at Week 16Continuous EndpointMean difference-0.17 (-0.26 to -0.07)120 per arm
Percentage of Participants With an ACR 20 Response at Week 24Binary EndpointRisk difference+16.1 pts (7.7 to 24.4)100 per arm
Change From Baseline in Health Assessment Questionnaire- Disability Index [HAQ-DI]) at Week 24Continuous EndpointMean difference-0.17 (-0.27 to -0.07)133 per arm

Change From Baseline in Health Assessment Questionnaire- Disability Index [HAQ-DI]) at Week 16

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Apremilast 20 mgApremilast 30mg-0.34-0.27-0.19-0.12-0.050.03mean difference vs control (95% CI)

Percentage of Participants With an ACR 20 Response at Week 24

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Apremilast 20 mgApremilast 30 mg-1.963.729.39152126risk difference (percentage points) vs control (95% CI)

Change From Baseline in Health Assessment Questionnaire- Disability Index [HAQ-DI]) at Week 24

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Apremilast 20 mgApremilast 30 mg-0.35-0.27-0.20-0.12-0.050.03mean difference vs control (95% CI)

The secondary results described in the registry include HAQ-DI change at Week 16 and Week 24, and ACR20 response at Week 24. Across those reported comparisons, the active groups' estimates are directionally consistent with the primary Week 16 result: the recorded ACR20 proportions are higher than placebo, and the reported HAQ-DI changes are lower than placebo. This broad alignment can provide context across different outcome types and assessment times, but it does not constitute an independent confirmation of the primary finding.

These outcomes measure different things. ACR20 at Week 24 uses the same responder concept at a later assessment, while HAQ-DI is reported as a continuous change from baseline. A binary response proportion and a mean change answer different questions and should not be treated as interchangeable measures. The registry lists many additional secondary outcomes, but their individual results are not all described in the available outcome summaries.

Secondary results generally carry less confirmatory weight when many outcomes are tested and the analysis plan for controlling multiplicity is not reported. Without knowing which outcomes were prespecified as key, whether adjustment was used, or how the testing sequence was organized, isolated secondary p-values can overstate the strength of evidence. The registry record does not report a multiplicity-adjustment procedure for these results.

The secondary pattern is therefore best read as supportive descriptive context, not as proof that every measured outcome showed the same degree of difference or that the effects were sustained beyond the recorded assessment times. The registry record does not report a single combined analysis that integrates these secondary outcomes with the primary endpoint.

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

9. Statistical Interpretation

Clinical Biostats interpretation

At Week 16, the registry reports ACR20 response in 15.9% of participants in the placebo group, 28.0% in the apremilast 20 mg group, and 30.7% in the apremilast 30 mg group. The sponsor-reported comparison with placebo gives a risk difference of 12.1 percentage points for 20 mg, with a 95% confidence interval from 3.5 to 20.7 and p = 0.006. For 30 mg, the reported risk difference is 14.8 percentage points, with a 95% confidence interval from 6.1 to 23.5 and p = 0.001.

These estimates describe the observed difference in response proportions between each active-treatment group and placebo at the specified assessment. The confidence intervals lie above zero, so the reported comparisons are consistent with higher response proportions in the active groups in this trial. The p-values quantify how compatible the observed data are with a no-difference model under the sponsor's stated analysis method; they do not measure the size or importance of a difference.

The two active-group response percentages are close to one another in the registry's summary, but the reported primary comparisons are each against placebo. No direct comparison between the two apremilast doses is reported in the primary results. The data therefore do not establish whether one dose is superior to the other.

These are group-level results for a particular response threshold and assessment time. They do not show that every participant responded, identify which individuals might respond, or describe outcomes beyond the recorded measures and time points. Nor does a statistically distinguishable group comparison by itself establish the clinical importance of the difference. Interpretation should account for the endpoint definition, the uncertainty around the estimates, the analysis population, and the trial's missing-data and multiplicity details, which are not fully reported in the registry record.

The registry also reports secondary outcome analyses, including ACR20 at Week 24 and HAQ-DI changes. Their pattern can add context, but those outcomes do not replace the prespecified primary question. Secondary findings require particular care when many outcomes are examined, especially when the registry does not report a multiplicity-adjustment plan.

10. Statistical Methods Explained

The primary endpoint is binary because each participant either met the ACR20 definition by Week 16 or did not. A natural group summary is the proportion of participants classified as responders. Comparing two such proportions can be expressed as a risk difference: the response proportion in one group minus the response proportion in the other. A positive risk difference in these comparisons indicates a higher observed response proportion in the apremilast group than in placebo. The sponsor reports the primary contrasts as risk differences in percentage points.

The registry identifies the sponsor's primary comparisons as chi-squared analyses. In general, a chi-squared test assesses whether observed counts across categories are compatible with the no-association or no-difference model. For a binary endpoint, the categories are response and non-response. The reported p-value is conditional on the analysis model and its assumptions; it is not the probability that the null hypothesis is true, and it does not express the magnitude of the effect.

A confidence interval for a risk difference describes a range of values reasonably compatible with the observed data under the analysis approach. Its width reflects statistical uncertainty, which depends on such features as the observed proportions and the amount of information in the groups. An interval that excludes zero indicates that a zero risk difference is not among the values covered by that interval at its stated confidence level. It does not rule out bias, limitations in the endpoint, or uncertainty arising from unreported analysis choices.

The posted results also permit simple, unadjusted recalculations from summary counts. Those calculations can be useful as a check on the direction and approximate size of a contrast, but they are not a replacement for the sponsor's analysis. The registry reports sponsor analyses using a chi-squared method, and the recalculations do not incorporate any unreported adjustment or other details of the trial analysis. Because the registry reports no discrepancy between the recalculations and sponsor results, the sponsor's analysis is the primary reference for the trial findings.

For continuous outcomes such as HAQ-DI change, the registry reports least-squares means and standard errors, with sponsor comparisons using ANCOVA. In general, ANCOVA compares groups while adjusting for specified covariates; which covariates and model details were used are not reported in the registry record. A least-squares mean is a model-based group estimate, and its standard error describes uncertainty in that estimate. A mean difference gives the estimated contrast between groups. The posted recalculations for those outcomes are simpler unadjusted comparisons and should not be mistaken for the sponsor's adjusted analysis.

Risk differences, risk ratios, and odds ratios are different ways of expressing a binary-outcome contrast. A risk difference expresses an absolute difference in proportions. A risk ratio compares the proportions as a ratio, while an odds ratio compares the odds of response. These measures answer related but distinct questions and can have different numerical values. The primary registry analysis is presented as a risk difference, so that is the clearest measure for interpreting the primary contrast.

Statistical significance and clinical importance are not interchangeable. A p-value summarizes evidence against a specified null model under assumptions; it does not say whether a difference is large enough to matter to participants. Clinical interpretation also depends on what the endpoint measures, how the response threshold was defined, the uncertainty interval, and whether results are robust to analysis choices. The registry record does not report a threshold for a clinically important between-group difference.

Many outcomes and analyses are recorded for this study. When multiple hypotheses are examined, the chance of at least one apparently unusual result can rise unless the analysis accounts for the multiplicity or distinguishes confirmatory from exploratory outcomes. The registry record does not report whether the secondary analyses were adjusted for multiplicity or how their inferential status was specified. Their p-values should therefore be read as outcome-specific results, not as a complete account of the chance of false-positive findings across all analyses.

11. Confidence Intervals and Precision

The sponsor-reported 95% confidence interval for the primary comparison of apremilast 20 mg with placebo runs from 3.5 to 20.7 percentage points. For apremilast 30 mg compared with placebo, it runs from 6.1 to 23.5 percentage points. Both intervals are on the positive side of zero, while their widths show that the data remain compatible with a range of possible differences rather than one exact value.

In general, a confidence interval is a method for conveying uncertainty in an estimate. Under repeated use of the same statistical procedure and its assumptions, intervals constructed at a stated confidence level would cover the underlying quantity at that frequency. It is not correct to interpret a particular interval as assigning a probability to the fixed true difference. The interval also reflects only the uncertainty represented by the analysis; it does not account for unmeasured bias, errors in measurement, or every possible limitation in the trial conduct.

The registry reports confidence intervals for the between-group primary differences, not confidence intervals for each arm's response percentage. The endpoints of the sponsor-reported intervals are rounded as recorded. Their interpretation should be tied to the risk-difference scale: they describe uncertainty about the absolute contrast in response proportions, not about a relative effect.

The intervals overlap substantially, but overlap between separate intervals is not a formal test of the difference between the two active groups. The registry record does not report a direct dose-to-dose comparison for the primary endpoint. Therefore, the placebo comparisons do not establish a statistically reliable difference between the apremilast doses.

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 effect183245
75% of the observed effect310414
50% of the observed effect659881
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect2005001,0002,00040%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: Apremilast 20mg.

The planning figures are illustrations based on the observed effects, not a reconstruction of the trial's original design. For these binary outcomes, the figures are participants per arm. The stated assumptions are a two-sided significance level of 0.05, equal allocation between the two arms, and a normal approximation; the effect to detect is the stated fraction of the observed effect. The original trial's sample-size assumptions and justification are not reported in the registry record.

The 80% power column gives the illustrative number of participants per arm under those assumptions for an 80% probability of detecting the specified effect if that effect were the true one. The 90% power column uses a higher target probability of detection and therefore generally requires more participants per arm. These are design-planning quantities, not evidence about what was achieved in the completed trial.

Rows that use a smaller fraction of the observed effect represent a more modest target difference. Smaller effects are harder to distinguish from random variation and need more participants to reach the same target power under the stated assumptions. The illustration is conditional on its assumptions; changes in allocation, outcome frequency, analysis method, or other design features could change the planning requirement.

These estimates are not observed power. They are hypothetical planning calculations based on the effect estimates in the results, not a measure of the probability that the trial succeeded after its results were known. The planning curve, where read alongside the figures, expresses the same general relationship: the required number of participants per arm rises as the target effect becomes smaller or the desired power increases.

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 = 0.159; treatment proportion p1 = 0.280; average p̄ = 0.220.
  2. First term: z1−α/2 × √[2p̄(1−p̄)] = 1.96 × 0.5854 = 1.1474.
  3. Second term: z1−β × √[p0(1−p0) + p1(1−p1)] = 0.842 × 0.5791 = 0.4874.
  4. n = (1.1474 + 0.4874)2 / (0.1209)2 = 182.8, rounded up to 183 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 <- 0.159090909090909                          # control proportion
p1 <- 0.28                          # 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(1307423)
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 = 183 (80% power), 245 (90% power)
 75% of observed effect: n per arm = 310 (80% power), 414 (90% power)
 50% of observed effect: n per arm = 659 (80% power), 881 (90% power)
power.prop.test: 182.8 
Simulated power at n = 183 per arm: 0.808 (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
Chi-squaredRisk Difference (RD) 12.13.5 to 20.70.006
Chi-squaredRisk Difference (RD) 14.86.1 to 23.50.001

The registry's sponsor-reported primary analyses compare each apremilast group with placebo using chi-squared tests and report risk differences with 95% confidence intervals. For the 20 mg group, the reported difference is 12.1 percentage points, with a 95% confidence interval from 3.5 to 20.7 and p = 0.006. For the 30 mg group, it is 14.8 percentage points, with a 95% confidence interval from 6.1 to 23.5 and p = 0.001.

Simple unadjusted recalculations from the posted summary counts give estimates close to the sponsor-reported contrasts. The registry's discrepancy indicator is false. Under the stated interpretation of these results, the sponsor's own analysis takes precedence over the recalculations, because it is the analysis reported for the trial rather than a reconstruction from summary statistics.

The recalculations are useful as a transparent check, but they cannot reproduce unreported details of the sponsor's analysis. They should not be presented as an alternative primary analysis or used to override the sponsor's results. The registry record does not provide enough detail to independently reconstruct every aspect of the sponsor's analysis procedure.

15. Multiplicity, Missing Data and Analysis Populations

The registry lists a primary endpoint and numerous secondary outcomes and analyses. Testing several outcomes creates a multiplicity issue: even when there is no true effect on any outcome, a large set of tests can produce one or more small p-values by chance. Statistical plans can address this through adjustment procedures, ordered testing strategies, or by clearly distinguishing confirmatory outcomes from exploratory ones.

The registry record does not report whether the primary comparisons were adjusted for multiplicity, whether the two dose comparisons were treated as a family, or whether a gatekeeping or hierarchical testing plan was used. It also does not report whether secondary outcomes were adjusted for multiple testing. The sponsor-reported p-values should be understood as reported for their individual comparisons; the record does not establish how they relate to a study-wide error rate.

The endpoint population is described as the full analysis set consisting of randomized participants specified by the protocol, with one participant randomized in error and receiving no investigational product excluded. The description also refers to participants who withdrew early or lacked sufficient data for a definitive response. The precise missing-outcome rule, including how those cases were classified or imputed, is not reported in the registry record. As a result, the handling of missing Week 16 response data cannot be independently assessed from this information.

The registry record also does not report the detailed statistical analysis plan, the model covariates for ANCOVA outcomes, interim-analysis procedures, or a rationale for the enrollment target. These omissions limit assessment of whether all analysis decisions followed a prespecified plan. They do not change the numerical results recorded, but they constrain how fully the inferential framework can be evaluated.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Weeks 0-24: Placebo (Placebo-Controlled Phase)51762.8%
Weeks 0-24: Apremilast 20 mg31751.7%
Weeks 0-24: Apremilast 30 mg11750.6%
APR Exposure Period Up to 5 Years: Apremilast 20 mg3525213.9%
APR Exposure Period Up to 5 Years: Apremilast 20mg/30 mg51224.1%
APR Exposure Period Up to 5 Years: Apremilast 30 mg3625214.3%
Participants with at least one serious adverse event
Serious adverse events by armWeeks 0-24: Placebo (Placebo-…2.8%Weeks 0-24: Apremilast 20 mg1.7%Weeks 0-24: Apremilast 30 mg0.6%APR Exposure Period Up to 5 Y…13.9%APR Exposure Period Up to 5 Y…4.1%APR Exposure Period Up to 5 Y…14.3%% of participants with at least one serious adverse event

Other (non-serious) adverse events

Participants with at least one non-serious event at or above the registry's 5% reporting threshold.

ArmParticipants affected of at risk
Weeks 0-24: Placebo (Placebo-Controlled Phase)30 of 176
Weeks 0-24: Apremilast 20 mg51 of 175
Weeks 0-24: Apremilast 30 mg65 of 175
APR Exposure Period Up to 5 Years: Apremilast 20 mg121 of 252
APR Exposure Period Up to 5 Years: Apremilast 20mg/30 mg24 of 122
APR Exposure Period Up to 5 Years: Apremilast 30 mg141 of 252

Most frequent serious adverse event terms

Event termOrgan systemWeeks 0-24: Placebo (Placebo-Controlled Phase)Weeks 0-24: Apremilast 20 mgWeeks 0-24: Apremilast 30 mgAPR Exposure Period Up to 5 Years: Apremilast 20 mgAPR Exposure Period Up to 5 Years: Apremilast 20mg/30 mgAPR Exposure Period Up to 5 Years: Apremilast 30 mg
Inguinal herniaGastrointestinal disorders0 of 1760 of 1750 of 1751 of 2521 of 1223 of 252
Angina pectorisCardiac disorders0 of 1760 of 1750 of 1751 of 2520 of 1222 of 252
Coronary artery diseaseCardiac disorders0 of 1760 of 1750 of 1751 of 2520 of 1222 of 252
CholelithiasisHepatobiliary disorders0 of 1760 of 1750 of 1752 of 2520 of 1221 of 252
Incisional herniaInjury, poisoning and procedural complications1 of 1760 of 1750 of 1751 of 2521 of 1220 of 252
Back painMusculoskeletal and connective tissue disorders0 of 1761 of 1750 of 1752 of 2520 of 1220 of 252
Psoriatic arthropathyMusculoskeletal and connective tissue disorders1 of 1760 of 1750 of 1750 of 2520 of 1222 of 252
Transient ischaemic attackNervous system disorders0 of 1760 of 1750 of 1752 of 2520 of 1221 of 252
Atrial flutterCardiac disorders0 of 1760 of 1750 of 1750 of 2520 of 1222 of 252
Umbilical herniaGastrointestinal disorders0 of 1760 of 1750 of 1750 of 2520 of 1222 of 252

Most frequent non-serious adverse event terms

Event termOrgan systemWeeks 0-24: Placebo (Placebo-Controlled Phase)Weeks 0-24: Apremilast 20 mgWeeks 0-24: Apremilast 30 mgAPR Exposure Period Up to 5 Years: Apremilast 20 mgAPR Exposure Period Up to 5 Years: Apremilast 20mg/30 mgAPR Exposure Period Up to 5 Years: Apremilast 30 mg
NauseaGastrointestinal disorders5 of 17616 of 17528 of 17524 of 2522 of 12239 of 252
DiarrhoeaGastrointestinal disorders3 of 17612 of 17521 of 17530 of 2522 of 12231 of 252
Upper respiratory tract infectionInfections and infestations4 of 1766 of 1757 of 17526 of 2525 of 12231 of 252
HeadacheNervous system disorders4 of 1766 of 17515 of 17515 of 2520 of 12226 of 252
NasopharyngitisInfections and infestations3 of 1763 of 1753 of 17520 of 2525 of 12223 of 252
SinusitisInfections and infestations1 of 1766 of 1754 of 17516 of 2526 of 12212 of 252
HypertensionVascular disorders1 of 1764 of 1754 of 17515 of 2520 of 12216 of 252
CoughRespiratory, thoracic and mediastinal disorders2 of 1766 of 1754 of 17511 of 2521 of 12213 of 252
Urinary tract infectionInfections and infestations1 of 1762 of 1752 of 17510 of 2523 of 12218 of 252
PsoriasisSkin and subcutaneous tissue disorders6 of 1761 of 1752 of 1756 of 2521 of 12213 of 252

Serious events with the highest arm-level rate: inguinal hernia (1.2%), clostridium difficile colitis (0.8%), meningitis bacterial (0.8%), pneumococcal bacteraemia (0.8%), pneumonia (0.8%).

Do not overextend the safety comparison. Serious-adverse-event counts are safety observations, not efficacy outcomes, and should not be combined with the primary result into a single benefit-risk number.

The registry reports serious adverse events for the placebo-controlled period labeled Weeks 0-24 and for longer apremilast exposure groups labeled up to 5 years. During Weeks 0-24, the recorded serious-event counts are 5 among 176 at risk for placebo, 3 among 175 for apremilast 20 mg, and 1 among 175 for apremilast 30 mg. These are counts alongside the registry's at-risk denominators; they are not adjusted comparisons or evidence by themselves that a treatment caused or prevented an event.

The longer-exposure groups are separately described as apremilast 20 mg, apremilast 20 mg/30 mg, and apremilast 30 mg, with serious-event counts and at-risk numbers recorded for each. The registry does not provide a randomized placebo comparison for these longer-exposure summaries in the details. Group composition and exposure time may differ, so the figures should not be interpreted as directly comparable rates.

The registry lists serious-event terms including inguinal hernia, Clostridium difficile colitis, bacterial meningitis, pneumococcal bacteraemia, pneumonia, and incisional hernia, with the recorded percentages ranging from 0.8% to 1.2%. Death counts are not reported in the registry record. These safety summaries are descriptive; they do not establish causality or provide a complete benefit-risk assessment.

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

The primary result describes a difference in the recorded proportion of participants meeting a defined ACR20 threshold at Week 16. In this trial, the sponsor-reported risk differences compared each apremilast dose with placebo and their 95% confidence intervals were above zero. This is evidence about those randomized groups, the endpoint definition, and the assessment time in this study.

It does not mean that every participant in an active-treatment group met the response definition, or that a particular participant's outcome can be predicted from the group average. It does not identify which endpoint component drove the observed response proportions. Nor does it show that all symptoms, physical function, or other aspects of psoriatic arthritis changed in the same way.

The comparison does not establish which apremilast dose is preferable, because the primary results described are comparisons with placebo rather than a direct dose-to-dose test. It also does not establish how results would apply to people outside the studied population, including people with prior DMARD treatment, or whether outcomes persist beyond the recorded assessment times.

Statistical evidence is not the same as a judgment about clinical importance. The registry record does not report a threshold for a clinically important difference, and the p-values alone cannot supply one. The intervals communicate uncertainty about the estimated contrasts, but they do not cover every source of uncertainty, such as missing-data handling or unreported analysis decisions.

These findings are a description of trial results, not individual medical advice. Decisions about care require clinical context and information beyond the trial summaries, including the full safety profile and the needs and preferences of the person concerned.

18. Why This Trial Matters Statistically

This trial provides a clear setting for understanding the distinction between an outcome proportion and a treatment contrast. The arm-specific ACR20 percentages describe the observed response level in each group; the risk difference puts the placebo comparison on an absolute scale. Reading both helps prevent a contrast from being mistaken for the response rate itself.

The endpoint also illustrates how a composite responder definition works. ACR20 combines joint-count requirements with thresholds across additional measures. That approach creates a single interpretable response classification, but it compresses several domains into one binary outcome. The result cannot reveal whether the group difference was concentrated in one component or shared across them.

The registry's sponsor estimates and their confidence intervals make uncertainty visible rather than reducing the finding to a p-value. The secondary outcomes offer additional perspectives, while the number of recorded outcomes highlights why multiplicity and prespecified analysis plans matter. Together, these features make the study useful for learning how endpoint choice, effect scale, precision, and analysis transparency shape interpretation.

It is also a reminder that planning calculations derived from an observed effect are not the same as the assumptions used to design a trial. A planning illustration can show how required group size changes with target effect and desired power, but it cannot recover the original design rationale. Keeping that distinction clear avoids retrospective calculations being mistaken for evidence about trial planning or observed power.

19. Limitations

The primary endpoint is a threshold-based composite. It summarizes whether participants met all required ACR20 criteria, but does not describe the size of change in each component or outcomes among participants who narrowly missed the threshold. The registry record does not report a clinically important difference threshold for interpreting the between-group estimates.

The study population was described as having active psoriatic arthritis and no prior DMARD treatment. Findings may not directly generalize to people with different treatment histories or other populations not described in the registry record. The registry does not provide demographic or clinical baseline details in the information, so the representativeness of the enrolled population cannot be evaluated from these results alone.

The exact procedure for handling early withdrawal and insufficient data for a definitive Week 16 response is not reported. The record also does not report the detailed statistical analysis plan, multiplicity strategy, original sample-size justification, or the covariates used in the ANCOVA analyses. Those omissions limit independent assessment of missing-data assumptions and the full inferential plan.

The primary reported comparisons are each against placebo; a direct comparison between the active doses is not reported. Secondary results cover other outcomes and time points, but the registry record does not report whether multiplicity was controlled. Safety summaries include a placebo-controlled period and distinct longer-exposure groups, which should not be treated as equivalent randomized comparisons. These limitations do not negate the reported estimates, but they define how narrowly those estimates should be interpreted.

20. Related Tutorials

21. Related Statistical Calculators

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23. Record Summary

The registry describes a completed, randomized, phase 3, multicenter, quadruple-masked, parallel-group, placebo-controlled study of apremilast for active psoriatic arthritis in participants not previously treated with DMARDs. Enrollment was 529. The primary endpoint was ACR20 response at Week 16.

The sponsor reported higher ACR20 response proportions in both apremilast groups than in placebo, with positive risk differences and 95% confidence intervals above zero. Secondary results include ACR20 at Week 24 and HAQ-DI changes at Week 16 and Week 24. Serious adverse events are recorded for a placebo-controlled period and for longer apremilast exposure groups.

The registry record does not report full details of missing-data handling, multiplicity adjustment, or the original sample-size rationale. These limits, along with the endpoint definition and population, are important when interpreting how far the results apply.

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