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Head and Neck Cancer Phase 3 Binary Endpoint NCT01302834

Radiation Therapy With Cisplatin or Cetuximab in Treating Patients With Oropharyngeal Cancer: Complete Statistical Analysis

This randomized phase III trial compared intensity-modulated radiotherapy with concurrent cisplatin against the same radiotherapy with concurrent cetuximab in HPV-associated oropharyngeal cancer. The primary outcome was overall survival, with registry results also reporting progression-free survival, failure outcomes, and adverse events.

Trial start: 2011-06  ·  Enrollment: 987  ·  Sponsor: Radiation Therapy Oncology Group
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 Radiation Therapy With Cisplatin or Cetuximab in Treating Patients With Oropharyngeal Cancer (NCT01302834), a randomized phase 3 study. The primary outcome is Overall Survival.

987
Enrollment
Phase 3
2
Arms
In the primary outcome
-6.5 pts
Risk difference
IMRT + Cetuximab
-11.9 to -1.2 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT01302834
PhasePhase 3
ConditionHead and Neck Cancer, Precancerous Condition
AllocationRandomized
Design modelParallel
MaskingNone (open label)
Enrollment987
Arms in the primary outcome2
Lead sponsorRadiation Therapy Oncology Group
Results postedYes

2. Clinical Question

Population

Patients with oropharyngeal cancer in a trial described as addressing HPV-associated oropharynx cancer. The primary endpoint population is listed as eligible participants. Detailed eligibility criteria are not reported in the registry record.

Intervention

Intensity-modulated radiotherapy (IMRT) with concurrent cetuximab.

Comparator

Intensity-modulated radiotherapy (IMRT) with concurrent cisplatin.

Primary question

How did overall survival compare between the two treatment groups? The protocol endpoint is a hazard ratio; the registry also reports survival-rate estimates as summary data.

The trial asks whether the overall-survival experience differs between patients assigned to radiotherapy with cetuximab and those assigned to radiotherapy with cisplatin. It is a comparison of treatment strategies that share IMRT and differ in the concurrent systemic treatment. The registry lists the study as randomized, phase III, open-label, and parallel-group.

The stated primary endpoint counts death from any cause as an event. Survival time runs from randomization to death or last known follow-up, with participants without a recorded death censored at last follow-up. The protocol endpoint is the hazard ratio, while the five-year survival rates are reported as summary data rather than as the protocol outcome measure. The registry’s own statistical analysis results therefore deserve priority when interpreting the primary question; a simple comparison of the posted percentages is a different, unadjusted summary.

3. Trial Design

The registry describes NCT01302834 as a randomized phase III, parallel-group trial with no masking. Its title identifies radiation therapy with cisplatin or cetuximab in patients with oropharyngeal cancer; the official title describes a comparison of radiotherapy plus cetuximab versus chemoradiotherapy in HPV-associated oropharynx cancer. The sponsor is the Radiation Therapy Oncology Group. The study status is completed.

The two arms received intensity-modulated radiotherapy (IMRT). One arm received concurrent cisplatin and the other concurrent cetuximab. The posted overall-survival summaries include 406 participants in the cisplatin arm and 399 in the cetuximab arm. These endpoint-specific values should not be treated as a reconstruction of the full randomized cohort: the registry lists overall enrollment as 987, and the reasons the endpoint summaries have their reported denominators are not detailed in the record.

The study start is listed as 2011-06 and primary completion as 2018-07-12. The primary endpoint timeframe runs from randomization to last follow-up. The registry states that analysis was to occur after 180 deaths were reported, while the analysis occurred after 133 deaths; maximum follow-up at that analysis was 6.5 years. The record does not explain the reason for the difference between the planned and actual event counts.

The design information establishes the randomized comparison and treatment groups, but does not supply the original sample-size justification, detailed eligibility rules, randomization procedure, or the complete prespecified statistical plan. Those details are not reported in the registry record. The study is unmasked, so participants and investigators were not reported as blinded; the record does not describe how this feature was handled for outcomes requiring judgment.

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: Sites were required to submit participant tumor tissue for central p16 evaluation within one week of registration. If participants were determined to be p16-positive and continued on the study, then treatment arm was assigned. Of 987 participants registered, 849 were randomized.

Overall Study

StageIMRT + CisplatinIMRT + Cetuximab
STARTED424425
Eligible406399
Started treatment398394
AE assessed 1 month post-treatment (PT)369363
AE assessed 3 months PT359367
AE assessed 6 months PT361352
AE assessment 1 year PT360351
AE assessed 2 years PT311303
AE assessed 5 years PT9286
Dental health assessed 1 year PT267267
Dental health assessed 2 years PT208201
Dental health assessed 5 years PT4443

Reasons for not completing this period:

ReasonIMRT + CisplatinIMRT + Cetuximab
Protocol Violation1723
HIV positive13

Analysis population for the primary outcome, as defined in the registry: Eligible participants

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: Eligible participants

CharacteristicUnitIMRT + CisplatinIMRT + CetuximabTotal
Participants analysed406399805
Age, Continuousyears58 (52 to 63)58 (52 to 63)58 (52 to 63)
Age, Customized: <= 65Participants344345689
Age, Customized: > 65Participants6254116
Sex: Female, Male: FemaleParticipants334477
Sex: Female, Male: MaleParticipants373355728
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants111526
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants383369752
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants121527
Race/Ethnicity, Customized: WhiteParticipants380367747
Race/Ethnicity, Customized: BlackParticipants171936
Race/Ethnicity, Customized: OtherParticipants2810
Race/Ethnicity, Customized: UnknownParticipants7512
Zubrod performance status: 0Participants295300595
Zubrod performance status: 1Participants11199210
Smoking history: 0 pack-yearsParticipants194181375
Smoking history: >0 to <= 10 pack-yearsParticipants5968127
Smoking history: >10 pack-yearsParticipants153150303
Smoking historypack-years2 (0 to 22)3 (0 to 24)2 (0 to 23)
Primary site: Tonsillar fossa, tonsilParticipants202199401
Primary site: Base of tongueParticipants174179353
Primary site: Oropharynx, not otherwise specifiedParticipants161531
Primary site: Pharyngeal oropharynxParticipants8513
Primary site: Soft palateParticipants404
Primary site: ValleculaParticipants213
Tumor stage: T1Participants8986175
Tumor stage: T2Participants162163325
Tumor stage: T3Participants108100208
Tumor stage: T4Participants475097
Node category: N0Participants201434
Node category: N1Participants202545
Node category: N2aParticipants5956115
Node category: N2bParticipants209208417
Node category: N2cParticipants8283165
Node category: N3Participants161329
Overall stage: IIIParticipants293160
Overall stage: IVParticipants377368745
Risk group per study RTOG-0129: Low riskParticipants289284573
Risk group per study RTOG-0129: Intermediate riskParticipants117115232

6. Primary Endpoint

The registry lists the primary outcome as Overall Survival, measured over From randomization to last follow-up. Analysis was to occur after 180 deaths were reported. Analysis occurred after 133 deaths were reported. Maximum follow-up at time of analysis was 6.5 years..

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

Overall survival is the primary endpoint. An event is death from any cause, so the endpoint includes deaths regardless of cause. Survival time begins at randomization and ends at the date of death or the last known follow-up. Participants with no known death at their last follow-up are censored at that point: their observed time contributes information up to follow-up, without being treated as a death.

The registry says survival rates are estimated with the Kaplan-Meier method. This approach uses the observed event times and accounts for censoring when estimating survival over time. The posted group percentages are described as five-year rates and as summary data; the protocol endpoint is the hazard ratio reported in the registry’s statistical analysis results. The distinction matters: the rates convey survival at a specified time point, whereas a hazard ratio compares event rates over the follow-up period under the analysis model.

Overall survival is used because it is a direct endpoint based on death from any cause and does not require a judgment about whether a particular progression event is clinically meaningful. It is not, by itself, a complete account of treatment experience: it does not describe the timing or type of nonfatal cancer events, adverse events, or other outcomes. The registry lists progression-free survival and several failure outcomes as secondary measures, which add context without replacing the primary endpoint.

7. Results Posted in the Registry

Risk difference: IMRT + Cetuximab

-6.5

95% CI: -11.9 to -1.2 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals72.275.679.082.385.789.1IMRT + Cisplatin (n=406)IMRT + Cetuximab (n=399)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)IMRT + Cetuximab-13-10-7.34-4.58-1.810.95risk 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
Progression-free SurvivalBinary EndpointRisk difference-10.9 pts (-17.0 to -4.8)260 per arm
Time to Local-regional FailureBinary EndpointRisk difference+7.4 pts (2.7 to 12.1)332 per arm
Time to Distant MetastasisBinary EndpointRisk difference+3.2 pts (-1.0 to 7.3)1,440 per arm

Progression-free Survival

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)IMRT + Cetuximab-18-14-10-6.53-2.591.36risk difference (percentage points) vs control (95% CI)

Time to Local-regional Failure

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)IMRT + Cetuximab-0.971.854.677.481013risk difference (percentage points) vs control (95% CI)

Time to Distant Metastasis

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)IMRT + Cetuximab-1.690.252.194.136.078.01risk difference (percentage points) vs control (95% CI)

The registry lists progression-free survival and several measures of cancer failure as secondary outcomes. The overall pattern is not identical across these endpoints: the progression-free and local-regional findings point in a similar direction to the primary survival summaries, while the distant-metastasis comparison is less conclusive. These outcomes describe different aspects of disease course and should not be treated as interchangeable measures of overall survival.

Secondary outcomes can help explain whether differences in the primary endpoint are accompanied by differences in intermediate or disease-specific outcomes. They may also identify areas where the data are less precise or where estimates do not clearly distinguish the groups. They do not, however, establish the mechanism behind an overall-survival pattern. The registry does not report a formal mediation analysis or other analysis linking a secondary endpoint to survival.

The reported secondary analyses include hazard ratios and confidence intervals, with log-rank methods stated for the posted time-to-event results. The comparison estimates are unadjusted recalculations. The registry does not report an adjustment for testing multiple secondary endpoints or explain whether these outcomes were prioritized in a prespecified hierarchy. When many hypotheses are assessed, the chance of at least one apparently unusual result can increase. Consequently, nominal p-values for secondary analyses carry less evidential weight than a prespecified primary analysis considered under its planned method.

The secondary results are best read as supportive context rather than as independent confirmation of the primary result. Their interpretation depends on their endpoint definitions, uncertainty, analysis methods, and the unreported multiplicity plan. The number of listed secondary outcomes is substantial, and the registry reports 44 secondary outcomes posted. That breadth makes selective emphasis on a single secondary finding especially inappropriate. The aggregate pattern is informative, but it does not erase uncertainty in the primary analysis or substitute for the missing details of the original statistical plan.

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

9. Statistical Interpretation

Clinical Biostats interpretation

The posted five-year overall-survival estimates are 84.6% for IMRT with cisplatin (95% confidence interval 80.6% to 88.6%) and 77.9% for IMRT with cetuximab (95% confidence interval 73.4% to 82.5%). The estimated rates are numerically higher in the cisplatin group. These are Kaplan-Meier summary rates, not the protocol’s primary comparative statistic.

The registry’s primary statistical result is reported as a hazard ratio of 1.45, with a 95% confidence interval whose upper limit is 1.94. A lower confidence limit and p-value are not reported in that result. The registry classifies the analysis as non-inferiority, but the non-inferiority margin and further details needed to assess that framework are not reported in the registry record. The hazard ratio should therefore be read as the sponsor’s reported primary analysis, without attempting to recreate a non-inferiority conclusion from the summary survival rates.

An unadjusted recalculation comparing the posted binary summaries gives a risk difference of -0.065 for cetuximab relative to cisplatin, with a 95% confidence interval from -0.119 to -0.012 and p = 0.018. This is a separate summary comparison, not a substitute for the sponsor’s time-to-event analysis. It does not account for event timing in the same way as the hazard-ratio analysis, and its nominal p-value should not be treated as the study’s primary inferential result.

The secondary results add a pattern of differences in cancer control outcomes. The posted progression-free survival and local-regional failure comparisons point in a direction consistent with the overall-survival summaries, whereas the distant-metastasis comparison is less conclusive. These secondary comparisons are unadjusted and should be interpreted with less weight than the prespecified primary endpoint. Their number also creates a multiplicity concern: when many outcomes are tested, some apparently notable results can occur by chance.

Confidence intervals describe the uncertainty around estimates under their respective methods. The overlap or non-overlap of separate arm-specific intervals is not a replacement for a direct between-group test. The re-calculated risk-difference interval is a direct interval for its particular unadjusted contrast, but does not answer every question addressed by the trial’s survival analysis. Taken together, the posted estimates show different observed outcomes between groups, with precision and interpretation dependent on which endpoint and analysis are being considered. They do not, on their own, establish a causal explanation for the differences or characterize every benefit and harm relevant to patients.

10. Statistical Methods Explained

Randomized parallel-group comparison. The registry describes a phase III randomized trial with a parallel design and no masking. Randomization is intended, in general, to make treatment groups comparable at the point of assignment by allocating treatment independently of participant characteristics. It does not guarantee that every characteristic is balanced, and the record does not give the randomization method or allocation details. The open-label status means masking was not reported; the registry does not provide additional details on outcome assessment procedures.

Survival time and censoring. Overall survival is measured from randomization to death from any cause or last known follow-up. A participant without a recorded death by last follow-up is censored. In general, censoring allows information from observed follow-up to contribute without treating the participant as having an event at the censoring time. Valid survival analyses rely on assumptions about censoring and the analysis population; details beyond the endpoint definition are not reported in the registry record.

Kaplan-Meier estimates. The registry says the survival rates are estimated using the Kaplan-Meier method. In general, this method estimates the probability of remaining event-free over time while incorporating observed event times and censored observations. The posted arm percentages are summary rates; the registry describes the five-year rate as summary data rather than the protocol endpoint. A rate at one time point and a comparison of event hazards over follow-up answer related but different questions.

Hazard ratio. The protocol endpoint is a hazard ratio (HR), reported in the registry’s statistical analysis results. In general, an HR compares the event rate at a given time between groups among participants still at risk, according to the fitted time-to-event analysis. It is not a ratio of the two five-year survival percentages, and it does not directly state a difference in the probability of survival at a particular time. The primary result is labeled non-inferiority and reports HR 1.45 and a 95% confidence interval upper limit of 1.94. The lower confidence limit, p-value, non-inferiority margin, and specific analysis method are not reported for that primary result. Without the margin and full result, the registry entry does not permit an independent evaluation of the non-inferiority criterion.

Risk difference and p-value. The unadjusted recalculation expresses the difference in the posted event summaries as a risk difference for cetuximab relative to cisplatin. In general, a risk difference is an absolute contrast between two group proportions, rather than a relative comparison. Its 95% confidence interval describes the range of values compatible with the data and calculation method under repeated sampling assumptions. The unadjusted p-value measures how inconsistent the data are with a null comparison under that method; it does not measure the probability that the null hypothesis is true, or the size or clinical importance of an effect. The recalculated risk contrast is not the same estimand as the primary time-to-event hazard ratio.

Secondary time-to-event results. The registry reports log-rank analyses for progression-free survival, time to local-regional failure, and time to distant metastasis, along with hazard ratios and confidence intervals. In general, the log-rank test compares event-time patterns between groups, while a hazard ratio describes a relative event rate under a time-to-event model. The secondary results have their own estimates and uncertainty; they do not become confirmatory merely because they are reported alongside the primary endpoint. The registry does not report a multiplicity adjustment for these outcomes.

Adverse-event summaries. The safety listing gives group-specific counts at risk and counts affected for serious and other adverse-event categories, as well as death counts and selected serious-event terms with percentages. These are descriptive summaries. The registry entry does not provide enough detail to infer from these values alone whether an event was caused by treatment, how recurrent events were handled, or how the selected terms were chosen.

Planning calculations. The posted planning illustrations use the observed effect or stated fractions of it, with two-sided significance level 0.05, equal allocation, and a normal approximation. The non-time-to-event illustrations are participants per arm; time-to-event illustrations are total event counts. In general, power is the probability of detecting a specified effect under the assumptions used for planning. These calculations are not a reconstruction of the original trial design, whose assumptions are not reported in the registry record.

11. Confidence Intervals and Precision

The arm-specific overall-survival estimates are 84.6% (95% confidence interval 80.6% to 88.6%) with cisplatin and 77.9% (95% confidence interval 73.4% to 82.5%) with cetuximab. Each interval conveys uncertainty in its own estimated survival rate. The intervals should not be read as a direct test of the difference between groups; a comparison requires an interval or test for the contrast itself, based on its specified analysis.

The primary registry analysis reports HR 1.45 and an upper 95% confidence limit of 1.94, but does not report the lower limit or a p-value. That incomplete interval is an important limitation for judging precision of the sponsor’s primary estimate from the registry entry. The primary result is labeled non-inferiority, but the margin is not reported, so the interval cannot be evaluated against the non-inferiority criterion from this record alone.

The unadjusted risk-difference recalculation has a 95% confidence interval from -0.119 to -0.012. This interval gives the uncertainty for that specific unadjusted summary contrast, not the hazard ratio. Its endpoints are on a difference scale, while the sponsor’s result is on a time-to-event scale. The two intervals therefore should not be compared as if they measured the same quantity.

In general, a confidence interval represents the range of parameter values reasonably compatible with the data and analysis assumptions; it does not guarantee that the true value lies within the particular interval. A narrower interval indicates greater precision for the estimate under the same method, while a wider interval indicates more uncertainty. Precision also depends on the endpoint, follow-up, number of observed events, censoring, and analysis method. The registry reports that the primary analysis occurred after 133 deaths rather than the planned 180 deaths and that maximum follow-up was 6.5 years. These registry entries provide context for the reported analysis, but the record does not quantify how much each affected precision.

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 effect560749
75% of the observed effect9621,287
50% of the observed effect2,0872,793
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect5001,0002,0005,00040%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: IMRT + Cetuximab.

The planning illustrations translate an observed comparison into hypothetical sample-size requirements under stated assumptions. For the binary percentage outcomes, the figures are participants per arm. For time-to-event outcomes, the figures are the total number of events, not the number of participants. The planning assumptions are two-sided significance level 0.05, equal allocation between the two arms, and a normal approximation. The effect to detect is set to the stated fraction of the observed effect.

The 80% power column describes the hypothetical number of participants per arm, or total events for a time-to-event outcome, associated with an 80% chance of detecting the specified effect if the planning assumptions hold. The 90% power column uses a higher target chance of detection and therefore generally requires a larger planned information size. These are design calculations, not observed trial outcomes.

Rows that plan for 75% or 50% of the observed effect assume a smaller effect than the full observed effect. Smaller effects are harder to distinguish from random variation, so they require more participants or events under the same planning method. For example, the overall-survival illustrations list 560 participants per arm for 80% power at 100% of the observed effect, 962 at 75%, and 2,087 at 50%; the corresponding 90% power figures are 749, 1,287, and 2,793. These figures are planning illustrations calculated from the observed effect, not the original trial’s design targets. The original design assumptions and sample-size justification are not reported in the registry record. This is not observed power: it does not measure how much power the completed trial actually had.

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 = 0.845; treatment proportion p1 = 0.779; average p̄ = 0.812.
  2. First term: z1−α/2 × √[2p̄(1−p̄)] = 1.96 × 0.5524 = 1.0827.
  3. Second term: z1−β × √[p0(1−p0) + p1(1−p1)] = 0.842 × 0.5505 = 0.4633.
  4. n = (1.0827 + 0.4633)2 / (-0.0654)2 = 559.1, rounded up to 560 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 <- 0.844827586206897                          # control proportion
p1 <- 0.779448621553885                          # 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(1302834)
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 = 560 (80% power), 749 (90% power)
 75% of observed effect: n per arm = 962 (80% power), 1,287 (90% power)
 50% of observed effect: n per arm = 2,087 (80% power), 2,793 (90% power)
power.prop.test: 559.1 
Simulated power at n = 560 per arm: 0.809 (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 statedHazard Ratio (HR) 1.45not reportednot reported

The registry’s own primary result reports a hazard ratio of 1.45 for overall survival, labels the analysis non-inferiority, and gives an upper 95% confidence limit of 1.94. The lower confidence limit and p-value are not reported, and the non-inferiority margin is not reported in the registry record. Those missing elements prevent a full assessment of the sponsor’s primary inferential claim from the registry entry alone.

The re-calculated comparison is a simple unadjusted risk-difference contrast from posted group summary statistics. It gives a different type of estimate from the sponsor’s hazard ratio: it does not incorporate event timing in the same way as a time-to-event analysis. Its p-value and confidence interval therefore do not replace or revise the sponsor’s primary analysis. The registry lists no discrepancy between the posted summaries and the reported analysis; where a re-calculation and the sponsor’s analysis address different estimands, the sponsor’s own analysis takes precedence for the protocol endpoint.

The arm-specific percentages help describe the observed survival summaries, while the hazard ratio is the protocol-level comparative measure. Neither should be interpreted without its method and uncertainty. In particular, the record does not provide enough of the primary HR interval or non-inferiority specification to independently reproduce the sponsor’s analysis or evaluate its decision rule.

15. Multiplicity, Missing Data and Analysis Populations

The registry reports one primary endpoint and a broad set of secondary outcome measures. It lists 48 outcome measures and 22 analyses, and reports 44 secondary outcomes posted. Evaluating multiple outcomes creates a multiplicity issue: when many statistical comparisons are made, some may appear notable by chance even if there is no underlying difference. The registry record does not report whether the trial used a multiplicity adjustment, a testing hierarchy, or another method to control the overall false-positive risk.

Without a stated plan, the unadjusted p-values for secondary results should be treated as exploratory rather than as a collection of confirmatory tests. The record does not identify which secondary outcomes, if any, were designated as key confirmatory endpoints, nor does it state how the order of testing was handled. The primary endpoint result is separately identified, but its non-inferiority margin and full confidence interval are not reported.

The registry defines overall-survival censoring at last known follow-up. It does not report detailed missing-data procedures for other endpoints, how loss to follow-up was handled beyond the primary endpoint description, or sensitivity analyses for missing outcomes. For time-to-event outcomes, censoring is a standard component of analysis, but the assumptions and checks used in this trial are not reported in the registry record.

The primary endpoint population is described as eligible participants. The registry does not provide enough detail in these results to establish whether analyses followed an intention-to-treat population, a per-protocol population, or another specified analysis set, nor does it explain exclusions from each endpoint denominator. Those details matter for randomized comparisons, especially for a non-inferiority analysis, where the analysis population and protocol adherence can affect interpretation.

The primary analysis was planned after 180 deaths and occurred after 133 deaths; maximum follow-up was 6.5 years. The registry does not state whether interim analyses were conducted, whether stopping rules applied, or why the actual analysis occurred at the reported event count. These points are not reported in the registry record and should not be inferred from the stated event totals.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
IMRT + Cisplatin17739844.5%
IMRT + Cetuximab11539429.2%
Participants with at least one serious adverse event
Serious adverse events by armIMRT + Cisplatin44.5%IMRT + Cetuximab29.2%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
IMRT + Cisplatin64 of 406
IMRT + Cetuximab86 of 399

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
IMRT + Cisplatin398 of 398
IMRT + Cetuximab393 of 394

Most frequent serious adverse event terms

Event termOrgan systemIMRT + CisplatinIMRT + Cetuximab
DehydrationMetabolism and nutrition disorders43 of 39820 of 394
NauseaGastrointestinal disorders38 of 39818 of 394
VomitingGastrointestinal disorders34 of 39814 of 394
DysphagiaGastrointestinal disorders23 of 39817 of 394
Mucositis oralGastrointestinal disorders18 of 39822 of 394
Lymphocyte count decreasedInvestigations12 of 39811 of 394
Acute kidney injuryRenal and urinary disorders21 of 3981 of 394
PainGeneral disorders and administration site conditions12 of 3989 of 394
FeverGeneral disorders and administration site conditions8 of 3988 of 394
Febrile neutropeniaBlood and lymphatic system disorders14 of 3981 of 394

Most frequent non-serious adverse event terms

Event termOrgan systemIMRT + CisplatinIMRT + Cetuximab
Dry mouthGastrointestinal disorders376 of 398372 of 394
Mucositis oralGastrointestinal disorders363 of 398370 of 394
DysphagiaGastrointestinal disorders371 of 398351 of 394
FatigueGeneral disorders and administration site conditions357 of 398345 of 394
DysgeusiaNervous system disorders349 of 398334 of 394
PainGeneral disorders and administration site conditions329 of 398324 of 394
Dermatitis radiationInjury, poisoning and procedural complications316 of 398305 of 394
NauseaGastrointestinal disorders301 of 398238 of 394
AnorexiaMetabolism and nutrition disorders263 of 398253 of 394
ConstipationGastrointestinal disorders240 of 398214 of 394

Serious events with the highest arm-level rate: dehydration (10.8%), nausea (9.5%), vomiting (8.5%), dysphagia (5.8%), mucositis oral (5.6%).

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 safety listing gives group-specific numbers at risk for serious adverse events and counts of participants affected. For IMRT with cisplatin, the serious-event listing reports 398 at risk and 177 affected; for IMRT with cetuximab, it reports 394 at risk and 115 affected. The record also lists other adverse-event counts and deaths by group. These are descriptive safety summaries, and the death counts should not be assumed to be treatment-related.

The selected serious adverse-event terms include dehydration (10.8%), nausea (9.5%), vomiting (8.5%), dysphagia (5.8%), mucositis oral (5.6%), and acute kidney injury (5.3%). The record does not explain in this listing whether these percentages represent participants with at least one event, how repeated events were counted, or how the selected terms were chosen. They should therefore be read as registry-reported frequency summaries, not as causal estimates or as a complete comparison of safety.

Differences in the listed counts do not by themselves establish that a treatment caused more or fewer events. Interpretation would require the event definitions, observation period, exposure, severity and attribution rules, and appropriate comparative analyses. Those details are not reported in the registry record in the safety summary.

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

The registry records a randomized comparison of IMRT with concurrent cisplatin against IMRT with concurrent cetuximab, with overall survival as the primary endpoint. The posted survival-rate estimates are numerically different between groups, and the registry reports a primary hazard-ratio analysis. These findings describe the observed trial data under the analyses recorded; they are not a complete account of the treatment effects or their clinical relevance.

The primary result is labeled non-inferiority, but the registry entry does not report the non-inferiority margin or the lower confidence limit for the HR. Without those details, the non-inferiority conclusion cannot be independently assessed from the registry record. The unadjusted recalculation is not a substitute, because it compares summary proportions rather than the protocol’s time-to-event endpoint.

A statistical difference does not automatically establish that a difference is important to patients. Clinical importance depends on the magnitude and timing of outcomes, adverse effects, patient priorities, and other context not fully captured by the registry results. Conversely, an uncertain or non-significant comparison does not prove that the groups are identical. Estimates and confidence intervals communicate uncertainty; they do not resolve every question about benefit and harm.

The findings also do not establish why outcomes differed, whether all patient subgroups had the same experience, or whether the results apply to populations not represented by the trial. The registry does not provide detailed eligibility criteria or subgroup results in the registry record for this analysis. Nor do aggregate event summaries determine whether an individual outcome was caused by treatment.

The proper reading is therefore bounded: the record documents a randomized comparison, reported survival estimates, a sponsor-reported primary analysis, secondary outcomes, and descriptive adverse-event information. It does not supply every statistical detail needed to reproduce the primary analysis or judge all assumptions. Statistical interpretation should remain tied to the endpoints, analysis methods, uncertainty, and limitations actually reported.

18. Why This Trial Matters Statistically

This trial is statistically notable because it compares two concurrent treatment approaches within a randomized, parallel-group phase III design and uses overall survival as its primary endpoint. The outcome has a clear event definition—death from any cause—and the registry specifies how survival time and censoring are defined. That clarity helps distinguish the primary endpoint from the disease-control and failure outcomes reported secondarily.

The record also illustrates why the estimand matters. Kaplan-Meier survival percentages describe survival at a time point, whereas the protocol’s hazard ratio compares event rates over follow-up. A simple unadjusted risk difference based on posted summary values can be useful as a descriptive contrast, but it does not answer the same question as the sponsor’s time-to-event analysis. Keeping these quantities separate prevents a recalculation from being mistaken for a reproduction of the primary result.

Precision and reporting completeness are central to interpretation. The sponsor’s primary result includes an upper confidence limit but not the lower limit or p-value, and the non-inferiority margin is not reported. The primary analysis also occurred after 133 deaths rather than the planned 180 deaths. These features do not by themselves invalidate the result, but they limit how fully a reader can evaluate its inferential basis from the registry record.

The many secondary outcomes demonstrate another recurring challenge in clinical research: a broad outcome set can add context while increasing the risk of chance findings. Without a reported multiplicity plan, secondary p-values should not be treated as equivalent to the primary test. The trial thus offers a useful example of reading endpoint definitions, analysis scale, precision, and reporting gaps together rather than relying on any single number.

19. Limitations

Several trial-specific limitations affect how completely the registry results can be evaluated. The primary statistical result reports HR 1.45 and an upper 95% confidence limit of 1.94, but the lower confidence limit and p-value are not reported. Although the analysis is labeled non-inferiority, the non-inferiority margin and decision rule are not reported in the registry record. This prevents independent assessment of the primary non-inferiority criterion from the listed result.

The primary analysis was planned after 180 deaths and occurred after 133 deaths, with maximum follow-up of 6.5 years. The reason for this difference, and whether interim analyses or stopping rules were involved, are not reported. The actual event count and follow-up duration are relevant context for precision, but the registry does not quantify their effects.

The trial is listed as unmasked. The registry does not detail how open-label conduct may have affected endpoint assessment, treatment delivery, follow-up, or reporting. Overall survival is based on death from any cause, but the secondary outcomes may involve other event definitions; the record does not provide additional assessment procedures in these results.

The complete analysis populations, exclusions, missing-data procedures beyond primary survival censoring, and original sample-size justification are not reported. The posted sample-size illustrations are based on observed effects and stated planning assumptions, not the original trial design. The broad secondary outcome set is not accompanied by a reported multiplicity strategy, limiting confirmatory interpretation of nominal secondary p-values.

Finally, the registry summary does not provide detailed eligibility criteria or subgroup analyses in the registry record described. The scope of applicability to populations outside the enrolled trial group cannot be determined from these results alone. These limitations are about what the registry record reports; they do not establish that unreported methods were or were not used.

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23. Record Summary

NCT01302834 is a completed randomized phase III, open-label, parallel-group trial sponsored by the Radiation Therapy Oncology Group. It compared IMRT with concurrent cisplatin against IMRT with concurrent cetuximab in a trial described as addressing HPV-associated oropharynx cancer. Overall survival was the primary endpoint, defined from randomization to death from any cause or last known follow-up.

The registry reports Kaplan-Meier survival-rate summaries and a sponsor-reported primary hazard-ratio analysis labeled non-inferiority. The HR lower confidence limit, p-value, and non-inferiority margin are not reported. The primary analysis occurred after 133 deaths rather than the planned 180, and maximum follow-up was 6.5 years. Secondary outcomes and descriptive adverse-event summaries are also listed. The original statistical plan, detailed missing-data procedures, and multiplicity handling are not reported in the registry record.

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