← Clinical Trials
Rheumatoid Arthritis Phase 3 Binary Endpoint NCT02990806

A Phase 3 Study of NI-071 in Participants With Rheumatoid Arthritis (RADIANCE): Complete Statistical Analysis

This analysis examines the Stage 1 Week 22 ACR20-CRP response comparison between NI-071 and US-licensed Remicade in a randomized, double-blind rheumatoid arthritis trial. It also explains the registry’s design, reported safety information, and limits on interpreting the posted estimates.

Trial start: 2017-01-19  ·  Enrollment: 683  ·  Sponsor: Nichi-Iko Pharmaceutical Co., Ltd.
Scope of this record

This page provides an independent statistical analysis and educational interpretation of publicly reported results. ClinicalTrials.gov provides the official trial registry record. Numerical trial results on this page are restricted to the results posted in the ClinicalTrials.gov record; calculations added by Clinical Biostats are labelled as such.

1. Trial at a Glance

This page covers the registry results for A Phase 3 Study of NI-071 in Participants With Rheumatoid Arthritis (RADIANCE) (NCT02990806), a randomized phase 3 study. The primary outcome is Stage 1: Percentage of Participants Who Achieved 20 Percent (%) American College of Rheumatology C-reactive Protein (ACR20-CRP) Response Rate at Week 22.

683
Enrollment
Phase 3
2
Arms
In the primary outcome
-3.6 pts
Risk difference
Stage 1: Remicade-US Group
-11.5 to 4.3 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT02990806
PhasePhase 3
ConditionRheumatoid Arthritis
AllocationRandomized
Design modelCrossover
MaskingDouble
Enrollment683
Arms in the primary outcome2
Lead sponsorNichi-Iko Pharmaceutical Co., Ltd.
Results postedYes

2. Clinical Question

Population

Participants with rheumatoid arthritis whose response to methotrexate was not adequate were the intended study population. The primary analysis population was the intent-to-treat group: all randomized participants, regardless of protocol deviations or early discontinuation. The primary outcome was planned for Stage 1.

Intervention

NI-071, a proposed infliximab biosimilar, was given by intravenous infusion at 3 mg/kg during Stage 1, with doses at Weeks 0, 2, 6, and 14.

Comparator

The active comparator was US-licensed Remicade (infliximab), also given by intravenous infusion at 3 mg/kg at Weeks 0, 2, 6, and 14 during Stage 1.

Primary question

At Week 22, what percentage of participants in each Stage 1 group met the ACR20-CRP response definition, and how precisely did the registry estimate the difference between groups? The trial’s stated purpose was to demonstrate similarity in safety and efficacy; the registry describes the sponsor’s primary analysis as an equivalence analysis.

3. Trial Design

The registry describes a randomized, double-blind, multicenter, Phase 3 study with a crossover model and three stages. The trial was sponsored by Nichi-Iko Pharmaceutical Co., Ltd. Enrollment was 683, and the record lists the study as completed. Its purpose was to assess similarity of NI-071, a proposed biosimilar to infliximab, to US REMICADE in participants with rheumatoid arthritis not adequately responding to methotrexate.

Stage 1 compared NI-071 with US Remicade. Both groups received 3 mg/kg by intravenous infusion at Weeks 0, 2, 6, and 14. The primary endpoint was measured at Week 22. The Stage 1 analysis population was defined as all randomized participants, irrespective of protocol deviations or premature discontinuation.

During Stage 2, participants originally assigned to Remicade were re-randomized. One group continued Remicade every 8 weeks from Week 22 through Week 54. The other received NI-071 at Week 22, Remicade at Week 30, and NI-071 at Weeks 38, 46, and 54. Participants were followed through Week 62. The NI-071 group continued NI-071 dosing through Week 54 and was also followed through Week 62.

The registry record does not report the original design’s detailed sample-size assumptions, the randomization procedures, or the masking procedures beyond describing the study as double-blind. It also does not report a fuller statistical analysis plan in the information summarized for these results. Those details should not be inferred from the staged treatment schedule.

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: The study consisted of 3 stages: the biosimilarity stage (Stage 1), the interchangeability stage (Stage 2), and the safety follow-up stage (Stage 3). A total of 683 participants were randomized in a 2:1 ratio to the Remicade-US and NI-071 groups during Stage 1. In Stage 2 participants in the original Remicade-US group were re-randomized (1:1) to a Remicade-US group and a Switch group (to assess the effects of switching between Remicade-US and NI-071).

Stage 1 (22 Weeks)

StageStage 1 and 2: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
STARTED22845500
Safety Population22745100
COMPLETED21439900
NOT COMPLETED145600

Reasons for not completing this period:

ReasonStage 1 and 2: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
Adverse Event11500
Physician Decision1100
Initiated protocol-prohibited medication2200
Noncompliant with visit schedule and/or protocol2200
Lost to Follow-up2200
Withdrawal by Subject42600
Lack of Efficacy1200
Death0100
Required antibiotics resulting in drug interruption >2 weeks0100
Protocol deviation0100
Other1300

Stage 2 (32 Weeks)

StageStage 1 and 2: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
STARTED2140201196
COMPLETED1720173162
NOT COMPLETED4202834

Reasons for not completing this period:

ReasonStage 1 and 2: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
Adverse Event9077
Death1000
Physician Decision3010
Diagnosed with malignancy1001
Required antibiotics resulting in drug interruption1011
Initiated protocol-prohibited medication1002
Noncompliant with visit schedule and/or protocol2065
Lost to Follow-up1012
Protocol deviation2023
Withdrawal by Subject14048
Lack of Efficacy4023
Other3041

Stage 3 (Safety Follow-up) (8 Weeks)

StageStage 1 and 2: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
STARTED1720173162
COMPLETED1630162152
NOT COMPLETED901110

Reasons for not completing this period:

ReasonStage 1 and 2: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
Adverse Event5043
Physician Decision1011
Noncompliant with visit schedule and/or protocol2022
Lost to Follow-up1001
Withdrawal by Subject0021
Lack of Efficacy0010
Other0002
Initiated protocol-prohibited medication0010

Analysis population for the primary outcome, as defined in the registry: The Intent to Treat (ITT) included all participants who were randomized, irrespective of any deviation from the protocol or premature discontinuation. Data for this outcome measure was planned to be collected and analyzed for Stage 1.

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: The intent-to-treat (ITT) population included all participants who were randomized, irrespective of any deviation from the protocol or premature discontinuation.

CharacteristicUnitStage 1: NI-071 GroupStage 1: Remicade-US GroupTotal
Participants analysed228455683
Age, Continuousyears53.3 (SD 12.0)53.7 (SD 11.9)53.6 (SD 11.9)
Sex: Female, Male: FemaleParticipants173372545
Sex: Female, Male: MaleParticipants5583138
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants50103153
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants174350524
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants426
Race (NIH/OMB): American Indian or Alaska NativeParticipants022
Race (NIH/OMB): AsianParticipants033
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants000
Race (NIH/OMB): Black or African AmericanParticipants172542
Race (NIH/OMB): WhiteParticipants211424635
Race (NIH/OMB): More than one raceParticipants000
Race (NIH/OMB): Unknown or Not ReportedParticipants011

6. Primary Endpoint

The registry lists the primary outcome as Stage 1: Percentage of Participants Who Achieved 20 Percent (%) American College of Rheumatology C-reactive Protein (ACR20-CRP) Response Rate at Week 22, measured over At Week 22.

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

The primary endpoint was the percentage of participants who achieved an ACR20-CRP response at Week 22 in Stage 1. ACR20 is a binary outcome: each participant is classified as either a responder or a non-responder. A response required improvement from baseline of at least 20% in both tender or painful joint count and swollen joint count, together with improvement in at least three of five additional measures. Those measures were participant and physician global assessments of disease activity, participant pain assessment, the Health Assessment Questionnaire-Disability Index, and C-reactive protein.

This composite definition combines joint findings, patient- and clinician-reported assessments, function, and an inflammatory marker. Using a responder classification gives a clinically interpretable summary of whether a participant met the stated improvement criteria, but it also compresses changes of differing size into two categories. A participant who just meets the criteria and one with larger improvements are both counted as responders.

The registry gives the endpoint as a percentage and reports a 95% confidence interval for each group. The primary comparison is therefore about the proportion meeting the response definition, not the average amount of change in each component. The record identifies the intent-to-treat population and says this outcome was planned for Stage 1. It does not report the handling of missing Week 22 measurements or the specific rules used to classify such cases.

7. Results Posted in the Registry

Risk difference: Stage 1: Remicade-US Group

-3.6

95% CI: -11.5 to 4.3 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals46.950.453.957.460.864.3Stage 1: NI-071 Group (n=228)Stage 1: Remicade-US Group (n=455)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Stage 1: Remicade-US Group-13-9.11-5.44-1.781.895.55risk 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
Stage 2 and 3: Minimum Observed Serum Concentration (Cmin) of NI-071 and Remicade USContinuous EndpointMean difference-85.00 (-384.06 to 214.06)3,966 per arm
Stage 2 and 3: Time to Reach the Maximum Serum Concentration (Tmax) of NI-071 and Remicade USContinuous EndpointMean difference-10.80 (-61.83 to 40.23)7,182 per arm
Number of Participants With TEAEs of Special InterestBinary EndpointRisk difference+0.5 pts (-5.1 to 6.2)67,869 per arm

Stage 2 and 3: Minimum Observed Serum Concentration (Cmin) of NI-071 and Remicade US

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Stage 2 and Stage 3: Remicade…Stage 2 and Stage 3: Remicade…-432-293-154-16123262mean difference vs control (95% CI)

Stage 2 and 3: Time to Reach the Maximum Serum Concentration (Tmax) of NI-071 and Remicade US

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Stage 2 and Stage 3: Remicade…Stage 2 and Stage 3: Remicade…-77-52-27-1.452449mean difference vs control (95% CI)

Number of Participants With TEAEs of Special Interest

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Stage 1: Remicade-US GroupStage 2 and Stage 3: Remicade…-6.23-2.980.273.526.7710risk difference (percentage points) vs control (95% CI)

The registry lists a broad set of secondary outcomes, including DAS28-CRP and DAS28-ESR changes, ACR20 response outcomes, pharmacokinetic measures, and safety measures across stages and visits. The available secondary-result entries include serum concentration, time to maximum concentration, and treatment-emergent adverse events. The record also lists 32 posted secondary results overall, but the outcome descriptions alone do not establish a consistent direction of effect across every measure.

These secondary outcomes address related but distinct questions. Disease activity scores and response rates describe clinical measures over follow-up, while serum concentration and time-to-maximum-concentration outcomes describe pharmacokinetic characteristics. Safety outcomes describe events rather than efficacy. They can provide context for the primary Week 22 response comparison, but they are not interchangeable measures and should not be combined into a single claim about similarity.

The primary result concerns a defined Stage 1 response endpoint at a particular visit. Later outcomes include different visits, stages, treatment sequences, and measurement types. Their results may help characterize the broader study, but they do not automatically confirm or overturn the primary comparison. The registry record does not report enough of the full statistical plan to establish which secondary outcomes were confirmatory.

As a general statistical issue, examining many outcomes and time points creates multiple opportunities for apparently notable findings. Unless the analysis plan controls this multiplicity, unadjusted secondary results carry less weight as confirmatory evidence. The multiplicity strategy is not reported in the registry record. Secondary patterns should therefore be read as context and not as a collection of independent confirmations.

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

9. Statistical Interpretation

Clinical Biostats interpretation

At Week 22, the posted Stage 1 response percentage was 56.6% for NI-071 and 53.0% for US Remicade. The corresponding 95% confidence intervals were 50.1% to 63.0% and 48.4% to 57.6%. These intervals overlap substantially, but overlap between separate group intervals is not itself the formal test of the difference between groups.

The sponsor’s reported analysis gives a percentage difference of 3.6, with a 95% confidence interval from -4.3 to 11.5, and is labelled an equivalence analysis. This interval includes zero, so the registry’s reported difference is compatible with either direction of a difference as well as no difference. Its width also means the estimate is not highly precise. The registry record does not report the equivalence margin used in the sponsor’s analysis. Without that margin and the complete prespecified analysis details, the reported interval alone does not establish whether the sponsor’s equivalence criterion was met.

A simple unadjusted recalculation from the posted group counts gives a result consistent with no clear separation at conventional significance levels; its unadjusted p-value is 0.372. This recalculation is not a replacement for the sponsor’s planned analysis. It does not account for any adjustment or analysis features that may have been used in the trial. The sponsor’s own analysis takes precedence if it differs from this simple recalculation; the registry’s reported percentage difference and recalculated comparison do not show a material discrepancy in direction or broad interpretation.

The Stage 1 response proportions are descriptive evidence about this endpoint in these randomized groups. They do not by themselves establish that the products are interchangeable for every outcome, population, or treatment setting. The primary result is also specific to the Week 22 ACR20-CRP definition and the Stage 1 treatment period. Later crossover and switching groups address different treatment sequences and follow-up periods, so they should not be treated as additional independent replications of the primary comparison.

The registry’s stated study purpose was to demonstrate similarity, but a similarity or equivalence conclusion depends on prespecified margins and an analysis designed for that question. The posted information labels the sponsor’s analysis as equivalence, yet does not include the margin or enough detail to reconstruct the full decision rule. The appropriate reading is therefore to describe the reported estimate and its uncertainty, rather than to infer a definitive equivalence conclusion from the response percentages alone.

10. Statistical Methods Explained

The primary endpoint is binary, because each participant either met the ACR20-CRP response criteria or did not. For a binary endpoint, the group response percentage estimates the proportion classified as responders. The primary comparison can be expressed as a difference between these proportions. A confidence interval around that difference describes a range of values compatible with the data and the analysis assumptions; it is not a range containing a guaranteed proportion of future trial results.

What the confidence interval tells readers

The sponsor reported a percentage difference of 3.6, with a 95% confidence interval from -4.3 to 11.5. The interval spans zero, so the posted analysis does not precisely distinguish a difference in one direction from no difference or a difference in the other direction. A 95% confidence interval is a measure of statistical uncertainty under the method used. It does not mean that there is a 95% probability that the fixed true effect lies inside this particular interval.

The group-specific intervals describe uncertainty in each group’s response percentage, while the interval for the difference addresses uncertainty in the contrast. The latter is more directly relevant to the primary comparative question. Comparing the endpoints of the two group-specific intervals is not a substitute for the reported interval for the between-group difference.

How to read the unadjusted recalculation

The recalculated comparison uses the posted response counts and denominators to form a simple, unadjusted contrast. Its p-value is 0.372. A p-value measures how unusual data at least as inconsistent with a specified null hypothesis would be if that null and the calculation assumptions held. It is not the probability that the null hypothesis is true, and it does not measure the size or clinical importance of an effect.

This recalculation is not necessarily the same as the sponsor’s primary analysis. The registry labels the sponsor’s result as an equivalence analysis, while the recalculation is an unadjusted comparison from summary counts. A formal equivalence analysis ordinarily depends on a prespecified margin and its corresponding decision procedure. The equivalence margin and detailed analysis method are not reported in the registry record. Consequently, the recalculated p-value should be read as a descriptive supplemental calculation, not as the trial’s primary test.

Why the analysis population matters

The primary outcome description defines the intent-to-treat population as all randomized participants, regardless of protocol deviations or premature discontinuation. This definition preserves the randomized assignment as the basis for analysis. The registry record does not specify how missing endpoint values were handled, whether all randomized participants contributed a Week 22 response classification, or whether other analysis populations were used for the sponsor’s result. These omissions matter because missing outcome data and analysis-population choices can affect estimated response proportions.

Randomization is intended to make treatment groups comparable with respect to measured and unmeasured characteristics on average. Double masking can limit some influences on care and outcome assessment. The record states that the trial was randomized and double-blind but does not provide enough detail to describe allocation concealment, masking roles, or the exact randomization implementation.

Multiplicity and secondary outcomes

The registry lists many secondary outcomes, including disease activity measures and response rates at multiple visits, as well as pharmacokinetic measures and safety outcomes. Testing or estimating many outcomes can increase the chance of finding an apparently notable result by chance. The record does not report whether multiplicity adjustments, a hierarchical testing plan, or other control of multiple comparisons was used. Secondary results should therefore be treated as supportive or exploratory unless a prespecified analysis plan establishes otherwise.

These methods explanations are general statistical context. The exact analysis methods for the sponsor’s primary result, missing-data rules, equivalence margin, and multiplicity strategy are not reported in the registry record. No method should be assumed to have been used solely because it is common in clinical trials.

11. Confidence Intervals and Precision

The central precision result is the sponsor-reported percentage difference of 3.6, with a 95% confidence interval from -4.3 to 11.5. The lower and upper limits lie on opposite sides of zero. Thus, the reported data do not rule out no difference, and the interval allows a range of effects in either direction. The estimate is informative about the approximate contrast, but its uncertainty limits how narrowly the difference can be described.

The group-level response estimates also have uncertainty: NI-071 was 56.6% with a 95% confidence interval from 50.1% to 63.0%, while Remicade was 53.0% with a 95% confidence interval from 48.4% to 57.6%. These separate intervals give context for the estimated proportions. The confidence interval for the direct difference is the more appropriate interval for judging precision in the comparison itself.

In general, an interval becomes narrower when an estimate is more precise and wider when uncertainty is greater. Its width reflects factors such as the amount of information and the variability in the data, as well as the statistical method. The registry record does not provide enough information to evaluate all assumptions behind the sponsor’s interval or to establish how missing values were treated.

Precision and equivalence are related but not interchangeable. To interpret an equivalence result, readers need the prespecified margin as well as the confidence interval and analysis method. The equivalence margin is not reported in the registry record, so the interval’s position cannot be assessed against that decision boundary. Nor does a confidence interval that includes zero alone establish similarity.

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 effect2,9803,989
75% of the observed effect5,2897,080
50% of the observed effect11,87715,899
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect2,0005,00010,00020,00050,00040%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: Stage 1: Remicade-US Group.

The sample-size figures are planning illustrations based on the observed effect, not the original trial’s design calculations. The stated assumptions are a two-sided significance level of 0.05, equal allocation between two arms, and a normal approximation. The illustrative effect to detect is set at the stated fraction of the observed effect. The original trial’s sample-size assumptions and justification are not reported in the registry record.

For these comparisons, the entries refer to participants per arm, not a total across arms. The 80% power column describes the planned number of participants per arm under the stated assumptions to give an 80% chance of detecting the specified effect if that effect were true. The 90% power column uses the same general interpretation but targets a 90% chance. These are design-planning quantities, not guarantees about what a future study will find.

The rows that plan for 100%, 75%, and 50% of the observed effect illustrate how the assumed effect size changes the planning requirement. Smaller effects are harder to distinguish from random variation and therefore require more participants under the same assumptions. These figures are not observed power and should not be interpreted as a retrospective measure of whether the completed trial was adequate.

The illustrations are tied to the effect estimate from this trial, which itself is uncertain. They do not establish a recommended sample size, account for every feature of a possible future protocol, or reproduce the sponsor’s design process. The registry record does not report the original design assumptions, and the illustrative calculation should be kept separate from the sponsor’s primary equivalence analysis.

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 = 0.566; treatment proportion p1 = 0.530; average p̄ = 0.548.
  2. First term: z1−α/2 × √[2p̄(1−p̄)] = 1.96 × 0.7039 = 1.3796.
  3. Second term: z1−β × √[p0(1−p0) + p1(1−p1)] = 0.842 × 0.7034 = 0.5920.
  4. n = (1.3796 + 0.5920)2 / (-0.0361)2 = 2,979.6, rounded up to 2,980 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 <- 0.565789473684211                          # control proportion
p1 <- 0.52967032967033                          # 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(2990806)
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 = 2,980 (80% power), 3,989 (90% power)
 75% of observed effect: n per arm = 5,289 (80% power), 7,080 (90% power)
 50% of observed effect: n per arm = 11,877 (80% power), 15,899 (90% power)
power.prop.test: 2979.6 
Simulated power at n = 2,980 per arm: 0.799 (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
not statedPercentage difference 3.6-4.3 to 11.5not reported

The registry reports the sponsor’s primary result as an equivalence analysis: a percentage difference of 3.6 with a 95% confidence interval from -4.3 to 11.5. No sponsor p-value is listed. The registry record does not report the equivalence margin or enough methodological detail to independently reproduce the sponsor’s analysis or verify the decision rule.

The simple recalculation from posted response counts is unadjusted and gives an unadjusted p-value of 0.372. It is a check based on the summary counts, not a substitute for the sponsor’s analysis. The sponsor’s own analysis takes precedence over a simple recalculation when the two differ, because it is the reported trial analysis and may reflect prespecified methods not captured by a summary-count calculation.

In this case, the recalculation does not indicate a materially different overall interpretation from the sponsor’s reported estimate: both are compatible with uncertainty about the direction of the contrast. Neither the recalculation nor the reported confidence interval alone supplies the missing equivalence margin. The sponsor’s label of equivalence analysis should be reported as such, without converting it into a claim that the criterion was met when the required margin and decision details are not in the registry record.

15. Multiplicity, Missing Data and Analysis Populations

The primary outcome description defines the intent-to-treat population as all randomized participants, regardless of protocol deviation or premature discontinuation. This is an important population definition because it ties the analysis to randomized assignment. However, the registry record does not specify whether every randomized participant had an evaluable Week 22 outcome or how missing values were classified or imputed. It also does not report sensitivity analyses addressing missing outcome data.

The record lists numerous secondary measures and repeated assessment times across the three stages. In general, testing many outcomes or time points increases the chance that some results will appear notable by chance, even when there is no underlying effect. A prespecified hierarchy, adjustment, or other multiplicity strategy can address this issue. The registry record does not report whether such a strategy was used, so the secondary findings should not be assumed to have controlled family-wise error or another multiplicity criterion.

The sponsor’s primary analysis is labelled equivalence, but the equivalence margin and detailed decision procedure are not reported in the registry record. Those details are necessary to assess what range of differences the study was designed to regard as sufficiently similar and how the conclusion was reached. The record also does not report the full model specification or all analysis assumptions for the sponsor’s result.

Other details that are not reported in the registry record include interim analyses, stopping rules, and the original sample-size justification. Their absence from the record does not establish that these procedures were or were not used. It means they cannot be incorporated into an interpretation of the posted results. The safest reading separates the information that is stated—the endpoint definition, analysis population description, and sponsor-reported estimate—from design and analysis details that remain unreported.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Stage 1, 2 and 3: NI-071 Group192278.4%
Stage 1: Remicade-US Group414519.1%
Stage 2 and Stage 3: Remicade US to Remicade-US Group2825411.0%
Stage 2 and Stage 3: Remicade US to Switch Group131976.6%
Participants with at least one serious adverse event
Serious adverse events by armStage 1, 2 and 3: NI-071 Group8.4%Stage 1: Remicade-US Group9.1%Stage 2 and Stage 3: Remicade…11.0%Stage 2 and Stage 3: Remicade…6.6%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
Stage 1, 2 and 3: NI-071 Group1 of 227
Stage 1: Remicade-US Group1 of 451
Stage 2 and Stage 3: Remicade US to Remicade-US Group0 of 254
Stage 2 and Stage 3: Remicade US to Switch Group0 of 197

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
Stage 1, 2 and 3: NI-071 Group96 of 227
Stage 1: Remicade-US Group174 of 451
Stage 2 and Stage 3: Remicade US to Remicade-US Group80 of 254
Stage 2 and Stage 3: Remicade US to Switch Group94 of 197

Most frequent serious adverse event terms

Event termOrgan systemStage 1, 2 and 3: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
Anaphylactic reactionImmune system disorders1 of 2273 of 4513 of 2540 of 197
PneumoniaInfections and infestations1 of 2272 of 4511 of 2541 of 197
OsteoarthritisMusculoskeletal and connective tissue disorders1 of 2272 of 4511 of 2541 of 197
Staphylococcal sepsisInfections and infestations0 of 2272 of 4511 of 2541 of 197
Urinary tract infectionInfections and infestations0 of 2272 of 4511 of 2541 of 197
Intervertebral disc disorderMusculoskeletal and connective tissue disorders1 of 2271 of 4511 of 2540 of 197
Abdominal abscessInfections and infestations0 of 2271 of 4511 of 2540 of 197
CellulitisInfections and infestations0 of 2271 of 4511 of 2540 of 197
Chronic sinusitisInfections and infestations0 of 2271 of 4510 of 2541 of 197
ErysipelasInfections and infestations0 of 2271 of 4511 of 2540 of 197

Most frequent non-serious adverse event terms

Event termOrgan systemStage 1, 2 and 3: NI-071 GroupStage 1: Remicade-US GroupStage 2 and Stage 3: Remicade US to Remicade-US GroupStage 2 and Stage 3: Remicade US to Switch Group
NasopharyngitisInfections and infestations28 of 22743 of 45122 of 25421 of 197
Upper Respiratory Tract InfectionInfections and infestations24 of 22741 of 45121 of 25420 of 197
HeadacheNervous system disorders16 of 22721 of 4518 of 25413 of 197
Alanine Aminotransferase IncreasedInvestigations8 of 22721 of 4518 of 25413 of 197
BronchitisInfections and infestations13 of 22716 of 45110 of 2546 of 197
Aspartate Aminotransferase IncreasedInvestigations4 of 22716 of 4515 of 25411 of 197
ArthralgiaMusculoskeletal and connective tissue disorders3 of 22716 of 4516 of 25410 of 197

Serious events with the highest arm-level rate: anaphylactic reaction (1.2%), chronic sinusitis (0.5%), extradural abscess (0.5%), gastroenteritis (0.5%), influenza (0.5%).

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 serious adverse events, the registry lists 19 affected participants among 227 at risk in the NI-071 group, 41 among 451 in the Stage 1 Remicade-US group, 28 among 254 in the Remicade-to-Remicade group, and 13 among 197 in the Remicade-to-switch group. The record lists one death in the NI-071 group and one in the Stage 1 Remicade-US group; it lists no deaths in either Stage 2 and Stage 3 Remicade sequence group.

The groups cover different treatment stages and sequences, and their at-risk denominators are not identical. The Stage 2 groups also arise from participants who received Remicade in Stage 1 and were re-randomized. These figures should therefore be read in their stated group and follow-up context, not combined into a single comparison or treated as if all groups were concurrent randomized arms for the same period.

The registry lists anaphylactic reaction at 1.2% among the most frequent serious-event terms, followed by chronic sinusitis, extradural abscess, gastroenteritis, influenza, and kidney infection at 0.5% each. These listed terms do not describe every event or establish a causal relationship. The posted counts are descriptive safety information and are not, by themselves, a formal comparative safety analysis.

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

The primary result describes the proportion meeting the registry’s ACR20-CRP response definition at Week 22 in the two Stage 1 treatment groups. The posted percentages were 56.6% for NI-071 and 53.0% for US Remicade. The sponsor reported a percentage difference of 3.6 with a 95% confidence interval from -4.3 to 11.5. This is a summary of the observed endpoint and the uncertainty around the comparison, not a guarantee about an individual participant’s outcome.

The interval includes zero and spans values on either side of zero. The estimate therefore does not precisely establish the direction of a difference. The registry labels the sponsor analysis as equivalence, but the equivalence margin and complete decision method are not reported in the registry record. The response percentages and confidence interval should not be turned into a definitive equivalence claim without those details.

The result applies to the specific Stage 1 population, treatment schedule, follow-up point, and composite response definition recorded in the trial. It does not by itself answer whether the products have identical effects, whether every component of the composite changed similarly, or whether results would be the same in other populations or settings. It also does not resolve questions about longer-term outcomes or all safety outcomes.

Later-stage findings concern continued treatment or switching sequences, with follow-up through Week 62. Those data address different questions from the Stage 1 primary endpoint and should be interpreted in their own design context. Similarly, secondary efficacy, pharmacokinetic, and safety measures provide additional information but cannot substitute for the primary comparison or establish a broader conclusion on their own.

Overall, the posted data support a cautious description: the Stage 1 response proportions were in the ranges reported, and the estimated between-group difference has meaningful uncertainty. Statistical uncertainty should be kept distinct from clinical importance and from the sponsor’s stated similarity objective. The registry record does not supply all information needed to assess the sponsor’s equivalence decision independently.

18. Why This Trial Matters Statistically

This trial is statistically notable because its stated objective was similarity, while the primary outcome was a binary response proportion at a specific visit. Similarity and equivalence questions are not answered simply by observing that two group percentages are close or that a conventional test does not identify a difference. A formal interpretation depends on a prespecified acceptable margin, an appropriate analysis, and adequate precision. The registry labels the sponsor’s analysis as equivalence, but the margin is not reported in the registry record.

The study also has a staged treatment structure. Stage 1 provides the direct randomized comparison used for the primary endpoint. Later treatment sequences include continued Remicade and switching between Remicade and NI-071. This distinction matters statistically: later observations are shaped by prior treatment and re-randomization, so they should not be casually combined with the initial comparison.

The posted confidence interval gives readers more information than a point estimate alone. It shows that uncertainty remains about the size and direction of the primary contrast. The simple unadjusted recalculation provides a transparent check from the posted counts, while the sponsor’s own analysis remains the primary reported result.

Finally, the trial illustrates why analysis populations, missing-data handling, multiplicity, and prespecified methods matter. The record states an intent-to-treat definition and a broad set of secondary outcomes, but several key analysis details are not reported. Explicitly recognizing those limits helps distinguish the observed data from conclusions that require additional design and analysis information.

19. Limitations

The registry record does not report the equivalence margin, the detailed method used for the sponsor’s primary analysis, or the full prespecified statistical analysis plan. This limits independent assessment of the sponsor’s equivalence interpretation. The original sample-size justification and design assumptions are also not reported in the registry record; the available sample-size illustrations are not the trial’s original design calculations.

Missing-data procedures for the Week 22 primary endpoint are not reported in the registry record. Although the outcome description defines an intent-to-treat population, it does not specify how participants without an observed Week 22 response assessment were handled or whether sensitivity analyses were conducted. The record also does not report whether interim analyses or stopping rules were used.

The Stage 2 and Stage 3 results arise from a multistage schedule, including re-randomization of participants who received Remicade during Stage 1 and a switching sequence. Those results answer questions different from the initial Stage 1 comparison. The safety groups span different stages and follow-up contexts, so their counts should not be treated as a single concurrent comparison.

The registry lists many secondary outcomes and repeated time points, but the multiplicity strategy is not reported in the registry record. The posted secondary results should therefore be interpreted cautiously as a set of distinct measures, not as independent confirmatory tests. The record also does not provide all operational details of randomization or masking beyond describing the trial as randomized and double-blind.

20. Related Tutorials

21. Related Statistical Calculators

22. Sources

Continue through the Clinical Biostats statistical pathway

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

23. Record Summary

NCT02990806 is a completed randomized, double-blind, multicenter Phase 3 study of NI-071 and US-licensed Remicade in participants with rheumatoid arthritis not adequately responding to methotrexate. The trial used three stages, including a Stage 1 active-comparator assessment and later continued-treatment or switching sequences.

The primary endpoint was the Stage 1 percentage achieving ACR20-CRP response at Week 22. Posted response percentages were 56.6% for NI-071 and 53.0% for Remicade. The sponsor reported an equivalence analysis with a percentage difference of 3.6 and a 95% confidence interval from -4.3 to 11.5. The equivalence margin and several analysis details are not reported in the registry record, so the estimate is best read alongside that limitation.

The record includes secondary clinical, pharmacokinetic, and safety outcomes. Their interpretation depends on their distinct measures, stages, and time points, and the multiplicity strategy is not reported in the registry record.

Clinical Biostats