This page provides an independent statistical analysis and educational interpretation of publicly reported results. ClinicalTrials.gov provides the official trial registry record. Numerical trial results on this page are restricted to the results posted in the ClinicalTrials.gov record; calculations added by Clinical Biostats are labelled as such.
1. Trial at a Glance
This page covers the registry results for Study of Pembrolizumab Given Prior to Surgery and in Combination With Radiotherapy Given Post-surgery for Advanced Head and Neck Squamous Cell Carcinoma (MK-3475-689) (NCT03765918), a randomized phase 3 study. The primary outcome is Event-free Survival (EFS).
| Feature | Registry value |
|---|---|
| ClinicalTrials.gov identifier | NCT03765918 |
| Phase | Phase 3 |
| Condition | Head and Neck Neoplasms |
| Allocation | Randomized |
| Design model | Parallel |
| Masking | None (open label) |
| Enrollment | 714 |
| Arms in the primary outcome | 2 |
| Lead sponsor | Merck Sharp & Dohme LLC |
| Results posted | Yes |
2. Clinical Question
Population
Participants had newly diagnosed, treatment-naïve stage III-IVA resectable locoregionally advanced head and neck squamous cell carcinoma. The registry record identifies the condition more broadly as head and neck neoplasms. The efficacy analysis included all randomized participants.
Intervention
The experimental strategy combined pembrolizumab before surgery with pembrolizumab and standard-of-care postoperative treatment. Before surgery, participants received pembrolizumab 200 mg intravenously on Day 1 of each 21-day cycle for 2 cycles, up to 6 weeks. Postoperative standard care included radiotherapy, with or without cisplatin. The complete adjuvant schedule for the pembrolizumab arm is not reported in the registry record.
Comparator
The active comparator was postoperative standard care after surgical resection: radiotherapy, with or without cisplatin 100 mg/m^2 intravenously on Day 1 of a 21-day cycle for 3 cycles, up to 9 weeks. Two participants assigned to this arm received neoadjuvant treatment in error and remained in the standard-care arm for efficacy analysis.
Primary question
Does the strategy of pembrolizumab before surgery and pembrolizumab with postoperative radiotherapy, with or without cisplatin, change event-free survival compared with postoperative radiotherapy, with or without cisplatin, alone? Event-free survival counts specified progression or recurrence events and death from any cause; a secondary malignancy is not counted as an event. The registry’s primary comparison is the sponsor-reported hazard ratio.
3. Trial Design
This is a phase III, randomized, open-label, parallel-group, active-controlled study. The registry record lists an enrollment of 714 participants. Participants were allocated to pembrolizumab plus standard of care or standard of care after surgery. Masking is listed as none. The study began on 2018-12-17, and the primary completion date is listed as 2024-07-25. Its status is active, not recruiting.
The treatment strategies differ in whether pembrolizumab is added before surgery and during postoperative treatment. In the pembrolizumab arm, participants received 200 mg intravenously on Day 1 of each 21-day cycle for 2 cycles before surgery, up to 6 weeks. After resection, the strategy included pembrolizumab with standard-of-care radiotherapy, with or without cisplatin. The registry description of that arm is incomplete, so its full postoperative schedule is not reported in the registry record. In the standard-care arm, postoperative treatment was radiotherapy, with or without cisplatin 100 mg/m^2, administered on Day 1 of a 21-day cycle for 3 cycles, up to 9 weeks.
The primary efficacy analysis included all randomized participants. The registry specifies that two participants in the standard-care arm received neoadjuvant treatment in error and were analyzed in the arm to which they were assigned. This is an assignment-based analysis despite those protocol deviations. The trial was open-label, but event-free survival was assessed using blinded independent central review. The registry describes efficacy outcomes as stratified by PD-L1 combined positive score status; the exact stratification factors used in the primary comparison are 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: Two participants in the SOC arm received neoadjuvant treatment in error (protocol deviations). One of the participants (who received one cycle of neoadjuvant treatment) was included in the SOC arm for the efficacy and safety analyses per protocol. The other participant (who received 2 cycles of neoadjuvant treatment) was included in the SOC arm for efficacy analysis and in the Pembrolizumab + SOC arm for the safety analysis per protocol.
Overall Study
| Stage | Pembrolizumab + Standard of Care (SOC) | Standard of Care (SOC) |
|---|---|---|
| STARTED | 363 | 351 |
| Treated | 360 | 316 |
| Safety Analysis Population | 361 | 315 |
| Efficacy Analysis Population | 363 | 351 |
| Neoadjuvant Treatment Period: Participants Who Took EORTCQLQ-C30 GHS/QoL (Items 29 & 30) Assessment | 354 | 0 |
| Adjuvant Treatment Period: Participants Who Took EORTCQLQ-C30 GHS/QoL (Items 29 and 30) Assessment | 356 | 306 |
| Neoadjuvant Treatment Period: Participants Who Took EORTCQLQ-C30 (Items 1-5) Assessment | 354 | 0 |
| Adjuvant Treatment Period: Participants Who Took EORTCQLQ-C30 (Items 1-5) Assessment | 356 | 306 |
| Neoadjuvant Treatment Period: Participants Who Took EORTCQLQ-H&N35 (Items 35-38) Assessment | 354 | 0 |
| Adjuvant Treatment Period: Participants Who Took EORTCQLQ-H&N35 (Items 35-38) Assessment | 356 | 306 |
| Neoadjuvant Treatment Period: Participants Who Took EORTCQLQ-H&N35 (Items 46, 53-54) Assessment | 354 | 0 |
| Adjuvant Treatment Period: Participants Who Took EORTCQLQ-H&N35 (Items 46, 53-54) Assessment | 356 | 306 |
Reasons for not completing this period:
| Reason | Pembrolizumab + Standard of Care (SOC) | Standard of Care (SOC) |
|---|---|---|
| Death | 109 | 127 |
| Lost to Follow-up | 2 | 3 |
| Withdrawal by Subject | 12 | 16 |
| Participants Ongoing | 240 | 205 |
Analysis population for the primary outcome, as defined in the registry: Efficacy analysis population, which included all randomized participants. Per protocol, two participants in the SOC arm received neoadjuvant treatment in error (protocol deviations) and were included in the SOC arm for efficacy analysis.
5. Baseline Characteristics
The table reproduces the baseline characteristics posted in the registry, which describe the participants analysed at baseline and help show whether the randomized groups were comparable.
| Characteristic | Unit | Pembrolizumab + Standard of Care (SOC) | Standard of Care (SOC) | Total |
|---|---|---|---|---|
| Participants analysed | 363 | 351 | 714 | |
| Age, Continuous | Years | 59.4 (SD 10.0) | 60.6 (SD 10.0) | 59.9 (SD 10.0) |
| Sex: Female, Male: Female | Participants | 77 | 74 | 151 |
| Sex: Female, Male: Male | Participants | 286 | 277 | 563 |
| Ethnicity (NIH/OMB): Hispanic or Latino | Participants | 55 | 46 | 101 |
| Ethnicity (NIH/OMB): Not Hispanic or Latino | Participants | 300 | 298 | 598 |
| Ethnicity (NIH/OMB): Unknown or Not Reported | Participants | 8 | 7 | 15 |
| Race (NIH/OMB): American Indian or Alaska Native | Participants | 0 | 1 | 1 |
| Race (NIH/OMB): Asian | Participants | 51 | 44 | 95 |
| Race (NIH/OMB): Native Hawaiian or Other Pacific Islander | Participants | 1 | 1 | 2 |
| Race (NIH/OMB): Black or African American | Participants | 9 | 9 | 18 |
| Race (NIH/OMB): White | Participants | 284 | 270 | 554 |
| Race (NIH/OMB): More than one race | Participants | 9 | 20 | 29 |
| Race (NIH/OMB): Unknown or Not Reported | Participants | 9 | 6 | 15 |
| Primary Tumor Site: Oropharynx | Participants | 35 | 38 | 73 |
| Primary Tumor Site: Oral Cavity | Participants | 219 | 213 | 432 |
| Primary Tumor Site: Larynx | Participants | 81 | 73 | 154 |
| Primary Tumor Site: Hypopharynx | Participants | 28 | 26 | 54 |
| Primary Tumor Site: Missing | Participants | 0 | 1 | 1 |
| Overall Cancer Staging at Baseline: III | Participants | 90 | 93 | 183 |
| Overall Cancer Staging at Baseline: IVA | Participants | 271 | 257 | 528 |
| Overall Cancer Staging at Baseline: IVB | Participants | 2 | 0 | 2 |
| Overall Cancer Staging at Baseline: Missing | Participants | 0 | 1 | 1 |
| Programmed Cell Death Ligand 1 (PD-L1) Status by Tumor Proportion Score (TPS): TPS <50% | Participants | 257 | 242 | 499 |
| Programmed Cell Death Ligand 1 (PD-L1) Status by Tumor Proportion Score (TPS): TPS ≥50% | Participants | 103 | 107 | 210 |
| Programmed Cell Death Ligand 1 (PD-L1) Status by Tumor Proportion Score (TPS): Missing | Participants | 3 | 2 | 5 |
| PD-L1 Status by Combined Positive Score (CPS; CPS10): CPS <10 | Participants | 126 | 118 | 244 |
| PD-L1 Status by Combined Positive Score (CPS; CPS10): CPS ≥10 | Participants | 234 | 231 | 465 |
| PD-L1 Status by Combined Positive Score (CPS; CPS10): Missing | Participants | 3 | 2 | 5 |
| PD-L1 Status by CPS (CPS1): CPS <1 | Participants | 13 | 14 | 27 |
| PD-L1 Status by CPS (CPS1): CPS ≥1 | Participants | 347 | 335 | 682 |
| PD-L1 Status by CPS (CPS1): Missing | Participants | 3 | 2 | 5 |
6. Primary Endpoint
The registry lists the primary outcome as Event-free Survival (EFS), measured over Up to ~66 months.
| Element | Registry entry |
|---|---|
| Result type | Median |
| Measure of spread | 95% Confidence Interval |
| Unit | Months |
| Endpoint classification | Time-to-Event Analysis |
Event-free survival measures the time from randomization until the first qualifying event. In this study, qualifying events included radiographic disease progression, progression during neoadjuvant treatment that prevented surgery, local or distant progression or recurrence, and death from any cause. A secondary malignancy was not counted as an event. The progression and recurrence assessments used imaging or biopsy as indicated. For radiographic progression, a definitive biopsy showing no histologic evidence of invasive cancer did not meet the event definition.
The endpoint was assessed using RECIST 1.1 by blinded independent central review. The protocol modified RECIST 1.1 to allow up to 10 target lesions in total, with up to 5 per organ. Event-free survival is a time-to-event outcome: it incorporates both whether an event occurred and when it occurred, rather than reducing follow-up to a simple count of participants with events.
General explanation: a time-to-event endpoint can use information from participants followed for different lengths of time, including those who have not had an event by the end of their observed follow-up. This makes the timing of events and the handling of incomplete follow-up important to interpretation. The registry definition identifies the events counted, but details of censoring and missing-data handling are not reported in the registry record.
7. Results Posted in the Registry
- Pembrolizumab + Standard of Care (SOC) vs Standard of Care (SOC): hazard ratio 0.73 (95% CI 0.58–0.92), reported p = 0.004 (as reported in the registry).
Hazard ratio: Pembrolizumab + Standard of Care (SOC) vs Standard of Care (SOC)
95% CI: 0.58 to 0.92
As reported in the registry
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 outcome | Type | Effect measure | Estimate (95% CI) | Planning size, 80% power |
|---|---|---|---|---|
| Major Pathological Response (mPR) Rate | Binary Endpoint | Risk difference | -9.4 pts (-12.4 to -6.4) | n/a |
| mPR Rate in Participants With PD-L1 CPS ≥10 | Binary Endpoint | Risk difference | -13.7 pts (-18.1 to -9.3) | n/a |
| mPR Rate in Participants With PD-L1 CPS ≥1 | Binary Endpoint | Risk difference | -9.8 pts (-12.9 to -6.7) | n/a |
Major Pathological Response (mPR) Rate
- Endpoint type: Binary: the percentage of participants with the event (counts rebuilt from the posted percentages and group sizes).
- Test: Unadjusted two-proportion z-test, with a Wald 95% confidence interval for the risk difference.
- Result:
- Standard of Care (SOC): 0.0% (0/351) versus 9.4% (34/363) on control; risk difference -9.4 percentage points (95% CI -12.4 to -6.4); unadjusted two-proportion z-test p = <0.001.
- Interpretation:
- The 95% confidence interval excludes no difference, so the proportion with the event is statistically lower for Standard of Care (SOC) than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
mPR Rate in Participants With PD-L1 CPS ≥10
- Endpoint type: Binary: the percentage of participants with the event (counts rebuilt from the posted percentages and group sizes).
- Test: Unadjusted two-proportion z-test, with a Wald 95% confidence interval for the risk difference.
- Result:
- Standard of Care (SOC): 0.0% (0/231) versus 13.7% (32/234) on control; risk difference -13.7 percentage points (95% CI -18.1 to -9.3); unadjusted two-proportion z-test p = <0.001.
- Interpretation:
- The 95% confidence interval excludes no difference, so the proportion with the event is statistically lower for Standard of Care (SOC) than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
mPR Rate in Participants With PD-L1 CPS ≥1
- Endpoint type: Binary: the percentage of participants with the event (counts rebuilt from the posted percentages and group sizes).
- Test: Unadjusted two-proportion z-test, with a Wald 95% confidence interval for the risk difference.
- Result:
- Standard of Care (SOC): 0.0% (0/335) versus 9.8% (34/347) on control; risk difference -9.8 percentage points (95% CI -12.9 to -6.7); unadjusted two-proportion z-test p = <0.001.
- Interpretation:
- The 95% confidence interval excludes no difference, so the proportion with the event is statistically lower for Standard of Care (SOC) than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
The secondary outcomes cover pathological response, including major pathological response and pathological complete response, with some analyses defined for PD-L1 CPS subgroups. The registry also lists quality-of-life change outcomes during neoadjuvant treatment. These outcomes address different aspects of the study: pathological response concerns findings in surgical tissue, while quality-of-life measures concern participants’ reported health status. They are not alternative definitions of event-free survival.
For the pathological response comparisons with numerical results, the overall pattern is that responses were reported in the pembrolizumab-plus-standard-care group and not in the standard-care group. This provides a distinct response-based perspective that is directionally compatible with the primary comparison, but it does not establish that pathological response explains or causes the event-free survival result. The relationship between response outcomes and later event times is not reported in the registry record.
Secondary outcomes generally carry less inferential weight than the primary outcome when many outcomes are examined. General explanation: testing multiple outcomes creates more opportunities for apparently noteworthy results, even when no adjustment is made. The registry record does not report a multiplicity-control procedure, so secondary p-values should not be treated as if they necessarily preserve the same overall error rate as a single prespecified primary test.
The record lists 74 outcome measures, and 71 secondary outcomes are posted. The specific numerical details included in the registry record cover only some of the listed secondary outcomes; results for other measures are not reported in the registry record. Subgroup findings should also be interpreted in light of their smaller analysis populations and the absence of reported multiplicity procedures. These outcomes can inform context, but the primary event-free survival comparison remains the central efficacy analysis.
Secondary outcomes registered for this trial, for reference (only those above were recalculated):
- Major Pathological Response (mPR) Rate
- mPR Rate in Participants With PD-L1 CPS ≥10
- mPR Rate in Participants With PD-L1 CPS ≥1
- Pathological Complete Response (pCR) Rate
- pCR Rate in Participants With PD-L1 CPS ≥10
- pCR Rate in Participants With PD-L1 CPS ≥1
- Neoadjuvant Treatment: Change From Baseline in European Organization for Research and Treatment of Cancer Quality of Life Questionnaire-Core 30 (EORTC QLQ-C30) Global Health Status (GHS)/Quality of Life (QoL) (Items 29 & 30) Scale Combined Score at Week 4
- Neoadjuvant Treatment: Change From Baseline in EORTC QLQ-30 GHS/QoL (Items 29 and 30) Scale Combined Score in Participants With PD-L1 CPS ≥10 at Week 4
9. Statistical Interpretation
The sponsor-reported primary comparison gives a hazard ratio of 0.73 for pembrolizumab plus standard of care versus standard of care, with a 95% confidence interval from 0.58 to 0.92 and p = 0.004. In this comparison, a hazard ratio below 1 corresponds to a lower estimated event hazard in the pembrolizumab strategy arm during follow-up. The confidence interval excludes 1, and the reported p-value is below 0.05. These are features of the registry’s reported statistical comparison, not a guarantee about outcomes for any individual participant.
The posted median event-free survival is 51.8 months in the pembrolizumab plus standard-of-care arm and 30.4 months in the standard-of-care arm. For the first estimate, the lower confidence limit is 37.5 months and an upper limit is not reported in the registry record. For standard care, the 95% confidence interval is 21.8 to 50.1 months. The median is the time by which the estimated event-free survival curve has reached the halfway point. It does not describe every participant’s time to an event, and it is not interchangeable with the hazard ratio, which uses information across follow-up.
The hazard ratio and the medians answer related but different questions. The hazard ratio summarizes the relative event rate over observed follow-up under the analysis approach; the medians identify a point on each estimated survival curve. They need not express the same feature of the data. Neither statistic by itself conveys all variation in event timing, follow-up, or participant characteristics.
The registry also reports pathological response outcomes among secondary outcomes. Those outcomes concern response in surgical tissue, rather than the duration until progression, recurrence, or death. They can add context about treatment response but do not replace the primary time-to-event analysis. Their interpretation also depends on their analysis methods and on how multiple outcomes are handled; multiplicity procedures are not reported in the registry record.
The result is specific to the enrolled population and the trial’s treatment strategies: resectable stage III-IVA locoregionally advanced head and neck squamous cell carcinoma, with surgery and postoperative care. The open-label design, use of blinded central review for the primary assessment, treatment deviations in the standard-care arm, and incomplete reporting of some analysis details all matter when reading the estimate. The posted statistics describe the trial comparison; they do not establish an individual prognosis or settle how the regimen should be used in other settings.
10. Statistical Methods Explained
What does the hazard ratio summarize? The primary comparison uses a hazard ratio reported by the sponsor. General explanation: a hazard is the rate at which an event occurs among participants who have not yet had that event. A hazard ratio compares these rates between treatment strategies over follow-up, according to the analysis model. A value below 1 indicates a lower estimated event hazard in the first named arm relative to the second; it is not a ratio of median survival times and does not mean that the same relative difference applies at every time point.
What does the stratified log-rank method do? The reported method is the stratified log-rank method. General explanation: a log-rank test compares event-time patterns between groups while accounting for the timing of events and participants’ follow-up. Stratification can preserve comparisons within defined groups before combining evidence across them. The registry says outcomes were stratified by PD-L1 CPS status, but the exact strata and the details of how stratification entered the primary model are not reported in the registry record. The registry identifies a stratified log-rank analysis for the hazard ratio and reports a superiority analysis.
Why use a blinded independent review? The study is open-label, meaning treatment assignment was not masked. The primary endpoint was assessed by blinded independent central review using RECIST 1.1. General explanation: independent review by assessors unaware of treatment assignment can reduce the opportunity for knowledge of treatment to influence radiographic assessment. It does not remove every possible source of bias, and the registry does not report additional details about the review process beyond the endpoint definition and method.
What does the median convey? The primary endpoint is also summarized by median event-free survival in months, with a 95% confidence interval where reported. General explanation: the median is the time at which an estimated time-to-event curve reaches 50%. It is one summary of the curve, while the hazard ratio uses event-time information across the follow-up period. The median is not the average event-free time, and it does not show the full shape of the curve. The upper confidence limit for the pembrolizumab-arm median is not reported in the registry record.
What is a confidence interval? General explanation: a confidence interval describes statistical uncertainty around an estimate under the assumptions of the method used. A narrower interval indicates greater precision than a wider interval on the same scale, while an interval’s compatibility with a reference value can inform interpretation. The 95% interval for the hazard ratio ranges from 0.58 to 0.92. It describes uncertainty in the estimated relative hazard, not the range of individual participants’ outcomes and not a probability that the true value lies within the particular interval.
How should p-values be read? The sponsor reports p = 0.004 for the primary comparison. General explanation: a p-value measures how unusual data at least as incompatible with a specified null hypothesis would be if that hypothesis and the analysis assumptions held. It is not the probability that the null hypothesis is true, nor does it measure the magnitude or clinical importance of an effect. The p-value should be considered alongside the estimated hazard ratio, its confidence interval, the endpoint definition, and the analysis population.
Why is the primary outcome time-to-event? General explanation: time-to-event analysis can account for the order and timing of events and for differing follow-up, rather than treating all participants as if they had identical observation time. Participants without an event by the end of their recorded follow-up may contribute information up to that point. This approach relies on rules for censoring and follow-up. The exact censoring rules, missing-data procedures, and handling of participants lost to follow-up are not reported in the registry record.
How do the pathological response comparisons differ? The secondary pathological response outcomes are percentages of participants, and their sponsor-reported comparisons use the stratified Miettinen and Nurminen method. General explanation: methods for comparing proportions estimate a difference between groups and can account for the structure of a stratified analysis. These outcomes are binary at the participant level, unlike event-free survival, which incorporates event timing. The specific response definitions and any multiplicity adjustment for secondary outcomes are not reported in the registry record.
What does over-dispersion mean in general? General explanation: over-dispersion occurs when observed variability is greater than a statistical model expects. It can affect uncertainty estimates when the model assumes less variability than the data contain. The primary endpoint is analyzed as time-to-event, and no over-dispersion adjustment is reported in the registry record; therefore, this concept is not an identified feature of the posted primary analysis.
11. Confidence Intervals and Precision
The primary hazard ratio is 0.73, with a 95% confidence interval from 0.58 to 0.92. The interval lies below 1, the reference value for equal hazards, and gives a range of values compatible with the estimate under the analysis method and its assumptions. It still spans a range of possible relative hazard magnitudes, so the point estimate should not be read as exact. The sponsor-reported p-value is 0.004.
The medians give another view of the endpoint, but the amount of reported uncertainty differs between arms. The median is 51.8 months for pembrolizumab plus standard of care, with a lower limit of 37.5 months; its upper confidence limit is not reported in the registry record. For standard care, the median is 30.4 months and the 95% confidence interval is 21.8 to 50.1 months. The incomplete interval for the first median limits a direct comparison of precision between the two median estimates.
General explanation: confidence intervals quantify uncertainty in an estimate, not the spread of outcomes among individual participants. Precision depends on the information available to the analysis, including the number and timing of events and the length of follow-up. The registry gives an endpoint timeframe of up to ~66 months, but the exact data cutoff and detailed follow-up distribution are not reported in the registry record. The interval therefore should be interpreted with the endpoint and follow-up details available, rather than as a complete description of every source of uncertainty.
Precision is also distinct from importance. A confidence interval can indicate how narrowly an effect is estimated, but it does not determine whether the effect is meaningful for every participant or applicable outside the study population. The hazard-ratio interval and the median intervals summarize different quantities and should not be treated as interchangeable measures of uncertainty.
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 detect (log scale) | Hazard ratio | Events, 80% power | Events, 90% power |
|---|---|---|---|
| 100% of the observed effect | 0.73 | 317 | 425 |
| 75% of the observed effect | 0.79 | 564 | 755 |
| 50% of the observed effect | 0.85 | 1,268 | 1,698 |
Read each planning row as an illustration based on a stated fraction of the observed effect. The time-to-event entries are total events, not participants per arm. For 100% of the observed effect, the planning figures are 317 total events for 80% power and 425 total events for 90% power. For 75% of the observed effect, they are 564 and 755 total events. For 50% of the observed effect, they are 1,268 and 1,698 total events.
The listed planning 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 event-count calculations use the Schoenfeld approach. The trial’s original design assumptions and sample-size justification are not reported in the registry record; these planning figures are illustrations rather than a reconstruction of that original design.
In plain language, the 80% power column gives the total number of events the illustration estimates would be needed for an analysis to have an 80% chance of detecting the specified effect under its assumptions. The 90% power column gives the corresponding event total for a 90% chance. These are planning concepts, not probabilities that the reported result is correct. This is not observed power.
As the assumed effect becomes smaller, more information is needed to detect it under the same planning framework. The row using 50% of the observed effect therefore has larger event requirements than the row using 100%. Event totals are not equivalent to enrollment totals: the number of participants needed depends in part on how many experience an event and how long follow-up continues. The registry does not report the original assumptions used to set the trial enrollment.
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
d is the total number of events needed (Schoenfeld's formula) with 1:1 allocation and proportional hazards.
Worked calculation for this trial
- Hazard ratio HR = 0.730, so ln(HR) = -0.3147.
- d = 4 × (1.96 + 0.842)2 / [ln(0.730)]2 = 317.0, rounded up to 317 events in total 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
hr <- 0.73 # observed hazard ratio
events_needed <- function(power, frac = 1) ceiling(round(4 * (z_a + qnorm(power))^2 / log(hr^frac)^2, 6)) # Schoenfeld, 1:1 allocation
for (f in c(1, 0.75, 0.5))
cat(sprintf("%3.0f%% of observed effect: events = %s (80%% power), %s (90%% power)\n", 100 * f,
format(events_needed(0.80, f), big.mark = ","), format(events_needed(0.90, f), big.mark = ",")))
# Simulation: given d total events under proportional hazards, events in the treatment arm are Binomial(d, hr / (1 + hr)).
# The score (log-rank type) statistic is (D1 - d / 2) / sqrt(d / 4).
set.seed(3765918)
d <- events_needed(0.80)
reps <- 20000
D1 <- rbinom(reps, d, hr / (1 + hr))
z <- (D1 - d / 2) / sqrt(d / 4)
cat(sprintf("Simulated power with %s events: %.3f (%d replicates)\n", format(d, big.mark = ","), mean(abs(z) > z_a), reps))
Output from running the code
100% of observed effect: events = 317 (80% power), 425 (90% power)
75% of observed effect: events = 564 (80% power), 755 (90% power)
50% of observed effect: events = 1,268 (80% power), 1,698 (90% power)
Simulated power with 317 events: 0.816 (20000 replicates)
The simulation uses the fact that, with d events in total and proportional hazards, the number of events in the treatment arm is binomial. It is an approximation that conditions on the total number of events, and it should land close to the target power.
14. Group-Sequential Design Analysis
Many time-to-event trials, especially in oncology, stop or report early when interim data are overwhelming, so a single fixed-sample number understates the real design problem. The calculation below is an illustrative group-sequential design built from this trial's posted control median and hazard ratio. The registry record does not state the planned number of looks or the spending function, so the design is a planning illustration, not a reconstruction of the protocol. Assumed: one-sided α = 0.025, 90% power, three equally spaced looks on information, Lan-DeMets O'Brien-Fleming spending, 24 months of accrual, 60 months in total and a 1% monthly dropout hazard.
Under these assumptions the design needs about 863 participants in total, with the boundaries below.
| Analysis | Calendar time (months) | Events | Efficacy boundary (z) | Nominal one-sided p | Cumulative alpha spent |
|---|---|---|---|---|---|
| Look 1 | 22.3 | 143 | 3.710 | 0.0001 | 0.0001 |
| Look 2 | 36.2 | 286 | 2.511 | 0.0060 | 0.0060 |
| Look 3 | 60.0 | 429 | 1.993 | 0.0231 | 0.0250 |
Fixed design versus group-sequential alternatives
| Design | Power | Events at final analysis | Participants | Study length (months) |
|---|---|---|---|---|
| Fixed design, one analysis | 80% | 317 | 637 | 60.0 |
| Two looks, O'Brien-Fleming | 80% | 318 | 639 | 60.0 |
| Three looks, O'Brien-Fleming | 80% | 321 | 645 | 60.0 |
| Three looks, Pocock | 80% | 370 | 745 | 60.0 |
| Fixed design, one analysis | 90% | 424 | 853 | 60.0 |
| Two looks, O'Brien-Fleming | 90% | 426 | 856 | 60.0 |
| Three looks, O'Brien-Fleming | 90% | 429 | 863 | 60.0 |
| Three looks, Pocock | 90% | 490 | 985 | 60.0 |
Group-sequential designs cost a small increase in maximum sample size and events compared with the fixed design, in exchange for the chance to stop early for overwhelming efficacy. O'Brien-Fleming spending keeps early boundaries very conservative and the final boundary close to the fixed-design value, whereas Pocock spending spends more alpha early.
Sensitivity to a smaller true effect
Planning for exactly the observed effect is optimistic, because observed effects in published trials tend to be somewhat larger than the true effect. The table repeats the main design (three looks, O'Brien-Fleming spending, 90% power) for smaller true hazard ratios.
| True effect assumed | Hazard ratio | Events at final analysis | Participants |
|---|---|---|---|
| 100% of the observed effect | 0.730 | 429 | 863 |
| 75% of the observed effect | 0.790 | 763 | 1,498 |
| 50% of the observed effect | 0.854 | 1,717 | 3,289 |
For context, this trial enrolled 714 participants.
Cross-check, upper boundaries: gsDesign 3.71, 2.511, 1.993 | rpact 3.71, 2.511, 1.993. Agreement between the two packages confirms the boundary calculation.
R code and output
suppressWarnings(suppressMessages({ library(gsDesign); library(rpact) }))
med_control <- 30.4 # control-arm median, months (converted from the posted unit)
hr <- 0.73 # hazard ratio used for planning
lambdaC <- log(2) / med_control
eta <- 0.01 # dropout hazard per month (assumption)
acc_months <- 24 # accrual duration (assumption)
study_months<- 60 # total study duration (assumption)
design <- function(k, sfu, beta, h = hr) gsSurv(k = k, test.type = 1, alpha = 0.025, beta = beta, sfu = sfu,
lambdaC = lambdaC, hr = h, hr0 = 1, eta = eta, gamma = 1, R = acc_months, T = study_months, minfup = study_months - acc_months)
# Main design: 3 looks, Lan-DeMets O'Brien-Fleming spending, one-sided alpha 0.025, 90% power
x <- design(3, sfLDOF, 0.10)
cat(sprintf("N_TOTAL|%s\n", format(ceiling(sum(x$gamma * x$R)), big.mark = ",")))
for (i in 1:3) cat(sprintf("GS|%d|%.1f|%.0f|%.3f|%.5f|%.5f\n", i, x$T[i], x$n.I[i], x$upper$bound[i], pnorm(-x$upper$bound[i]), cumsum(x$upper$spend)[i]))
cat("\n"); print(gsBoundSummary(x))
# Comparison of designs
cmp <- list(list("Fixed design, one analysis", 1, sfLDOF), list("Two looks, O'Brien-Fleming", 2, sfLDOF),
list("Three looks, O'Brien-Fleming", 3, sfLDOF), list("Three looks, Pocock", 3, sfLDPocock))
cat("\n")
for (b in c(0.20, 0.10)) for (d in cmp) {
y <- design(d[[2]], d[[3]], b)
cat(sprintf("DES|%s|%d|%.0f|%s|%.1f\n", d[[1]], round(100 * (1 - b)), tail(y$n.I, 1), format(ceiling(sum(y$gamma * y$R)), big.mark = ","), tail(y$T, 1)))
}
# Sensitivity: what if the true effect is smaller than the observed one? (3 looks, O'Brien-Fleming, 90% power)
cat("\n")
for (fr in c(1, 0.75, 0.5)) {
y <- design(3, sfLDOF, 0.10, exp(log(hr) * fr))
cat(sprintf("SENS|%.2f|%.3f|%.0f|%s\n", fr, exp(log(hr) * fr), tail(y$n.I, 1), format(ceiling(sum(y$gamma * y$R)), big.mark = ",")))
}
# Independent cross-check of the boundaries with rpact
r <- getDesignGroupSequential(kMax = 3, alpha = 0.025, beta = 0.10, sided = 1, typeOfDesign = "asOF", informationRates = x$timing)
cat(sprintf("\nCross-check, upper boundaries: gsDesign %s | rpact %s\n", paste(round(x$upper$bound, 3), collapse = ", "), paste(round(r$criticalValues, 3), collapse = ", ")))
Method: LachinFoulkes
Analysis Value Efficacy
IA 1: 33% Z 3.7103
N: 804 p (1-sided) 0.0001
Events: 144 ~HR at bound 0.5378
Month: 22 P(Cross) if HR=1 0.0001
P(Cross) if HR=0.73 0.0338
IA 2: 67% Z 2.5114
N: 864 p (1-sided) 0.0060
Events: 287 ~HR at bound 0.7431
Month: 36 P(Cross) if HR=1 0.0060
P(Cross) if HR=0.73 0.5603
Final Z 1.9930
N: 864 p (1-sided) 0.0231
Events: 430 ~HR at bound 0.8250
Month: 60 P(Cross) if HR=1 0.0250
P(Cross) if HR=0.73 0.9000
Cross-check, upper boundaries: gsDesign 3.71, 2.511, 1.993 | rpact 3.71, 2.511, 1.993
15. Analyses Reported by the Sponsor
| Method | Estimate | 95% CI | P-value |
|---|---|---|---|
| Stratified Log Rank | Hazard Ratio (HR) 0.73 | 0.58 to 0.92 | 0.004 |
The primary time-to-event comparison is represented by the sponsor’s reported hazard ratio, 0.73, with a 95% confidence interval from 0.58 to 0.92 and p = 0.004. Its reported method is the stratified log-rank method. The posted median event-free survival estimates complement that relative comparison but are not a recalculation of the hazard ratio.
No simple unadjusted recalculation of the primary hazard ratio is used. A hazard ratio depends on participant-level event and follow-up information and the specified analysis method; it cannot be reproduced from the posted medians alone. The registry’s sponsor analysis is therefore the relevant reported comparison for the primary time-to-event outcome. The record does not flag a discrepancy between sponsor and recalculated results.
General explanation: a recalculation from summary statistics, when one is available, may not match an analysis using the trial’s stratification or other modeling details. Such a recalculation would be a check based on limited aggregate information, not a substitute for the sponsor’s prespecified analysis. In this case, the primary comparison should be read as reported by the sponsor, with its confidence interval and p-value, and alongside the endpoint definition and analysis population.
16. Multiplicity, Missing Data and Analysis Populations
The registry record identifies event-free survival as the primary outcome and lists numerous secondary outcome measures. It does not report a procedure for controlling multiplicity across secondary outcomes, across PD-L1 CPS subgroup analyses, or across other analyses. Without such a procedure, secondary findings should be read as supportive or exploratory rather than assumed to have the same confirmatory status as the primary analysis. The precise hierarchy of hypotheses and any prespecified testing sequence are not reported in the registry record.
The efficacy analysis population included all randomized participants. Two participants assigned to standard care received neoadjuvant treatment in error, but the registry states that they were included in the standard-care arm for efficacy analysis. This preserves their assigned-group classification for that analysis, while the treatment deviations remain relevant context for interpreting the comparison.
The record says the primary endpoint was assessed by blinded independent central review, despite the trial’s open-label design. It describes RECIST 1.1 as modified to allow up to 10 target lesions total, with up to 5 per organ. The record does not report further detail about endpoint adjudication, the exact stratification variables for the primary analysis, or how protocol deviations other than the two identified participants were handled.
Missing-data methods, censoring rules, and procedures for participants with incomplete endpoint assessments are not reported in the registry record. Their absence from the record does not establish that no such procedures were used; it means they cannot be evaluated from the reported details. The data cutoff, follow-up completeness, and handling of missing secondary outcome assessments are also not reported in the registry record. These omissions limit a full assessment of how incomplete observations may affect the estimates, particularly for outcomes requiring follow-up or participant reports.
17. Safety Results
The registry reports serious adverse events as affected participants divided by participants at risk.
| Arm | Participants with serious adverse events | Participants at risk | Percentage |
|---|---|---|---|
| Pembrolizumab + Standard of Care (SOC) | 179 | 361 | 49.6% |
| Standard of Care (SOC) | 116 | 315 | 36.8% |
Deaths
| Arm | Deaths (participants affected of at risk) |
|---|---|
| Pembrolizumab + Standard of Care (SOC) | 113 of 363 |
| Standard of Care (SOC) | 131 of 351 |
Other (non-serious) adverse events
Participants with at least one non-serious event at or above the registry's 5% reporting threshold.
| Arm | Participants affected of at risk |
|---|---|
| Pembrolizumab + Standard of Care (SOC) | 335 of 361 |
| Standard of Care (SOC) | 290 of 315 |
Most frequent serious adverse event terms
| Event term | Organ system | Pembrolizumab + Standard of Care (SOC) | Standard of Care (SOC) |
|---|---|---|---|
| Pneumonia | Infections and infestations | 13 of 361 | 18 of 315 |
| Acute kidney injury | Renal and urinary disorders | 6 of 361 | 9 of 315 |
| Postoperative wound infection | Infections and infestations | 5 of 361 | 9 of 315 |
| Pneumonia aspiration | Infections and infestations | 8 of 361 | 2 of 315 |
| Wound dehiscence | Injury, poisoning and procedural complications | 8 of 361 | 2 of 315 |
| Dysphagia | Gastrointestinal disorders | 7 of 361 | 2 of 315 |
| Stomatitis | Gastrointestinal disorders | 6 of 361 | 2 of 315 |
| Pyrexia | General disorders | 7 of 361 | 1 of 315 |
| Septic shock | Infections and infestations | 4 of 361 | 4 of 315 |
| Pulmonary embolism | Respiratory, thoracic and mediastinal disorders | 6 of 361 | 2 of 315 |
Most frequent non-serious adverse event terms
| Event term | Organ system | Pembrolizumab + Standard of Care (SOC) | Standard of Care (SOC) |
|---|---|---|---|
| Stomatitis | Gastrointestinal disorders | 144 of 361 | 170 of 315 |
| Radiation skin injury | Injury, poisoning and procedural complications | 144 of 361 | 150 of 315 |
| Anaemia | Blood and lymphatic system disorders | 121 of 361 | 102 of 315 |
| Weight decreased | Investigations | 129 of 361 | 86 of 315 |
| Dysphagia | Gastrointestinal disorders | 99 of 361 | 98 of 315 |
| Nausea | Gastrointestinal disorders | 87 of 361 | 84 of 315 |
| Constipation | Gastrointestinal disorders | 96 of 361 | 70 of 315 |
| Dry mouth | Gastrointestinal disorders | 81 of 361 | 81 of 315 |
| Fatigue | General disorders | 84 of 361 | 52 of 315 |
| Dysgeusia | Nervous system disorders | 55 of 361 | 60 of 315 |
Serious events with the highest arm-level rate: pneumonia (5.7%), postoperative wound infection (2.9%), acute kidney injury (2.9%), pneumonia aspiration (2.2%), wound dehiscence (2.2%).
The serious adverse event figures are counts of participants at risk and participants affected, reported separately by treatment arm. In the pembrolizumab plus standard-of-care arm, 361 participants were at risk and 179 were affected by a serious adverse event. In the standard-care arm, 315 were at risk and 116 were affected. These are participant counts, not counts of separate serious-event episodes, and they should be read using the reported at-risk denominators for each arm.
The registry also reports other adverse events for 335 of 361 participants in the pembrolizumab-plus-standard-care arm and 290 of 315 in the standard-care arm. Deaths are listed as 113 and 131, respectively. The record does not provide the cause of each death in these figures, so they should not be interpreted as counts of deaths caused by treatment. The listed serious-event terms include pneumonia, postoperative wound infection, acute kidney injury, aspiration pneumonia, wound dehiscence, and dysphagia, with term-specific percentages reported in the safety results.
These safety counts are descriptive. They do not by themselves establish that treatment caused an event or explain differences between arms. The groups have different at-risk denominators, and the registry entries given do not describe exposure-adjusted comparisons, event duration, severity grading beyond serious-event classification, or causal adjudication. No treatment recommendation follows from these figures.
18. What the Result Does, and Does Not, Mean
The posted primary analysis indicates a lower estimated event hazard for the pembrolizumab-plus-standard-care strategy than for standard care alone, with a sponsor-reported hazard ratio of 0.73 and a 95% confidence interval from 0.58 to 0.92. The p-value is 0.004. The median event-free survival estimates are 51.8 months and 30.4 months, respectively, although the upper confidence limit for the first median is not reported in the registry record. These statistics describe the randomized comparison under the study’s endpoint definition and analysis.
They do not show that every participant in one group had a better outcome than every participant in the other. Group-level estimates summarize patterns across participants; individual outcomes vary. The hazard ratio does not mean that each participant’s time to an event changes by the same amount, and the medians do not predict an individual participant’s course.
The comparison is between treatment strategies, not between pembrolizumab and no postoperative care. Both arms involved surgery and postoperative treatment, and the standard-care regimen could include radiotherapy with or without cisplatin. The experimental strategy added pembrolizumab before surgery and as part of postoperative treatment. Because the trial is open-label, participants and treating teams knew the assigned strategy, though the primary endpoint used blinded independent central review.
The results pertain to participants with newly diagnosed, treatment-naïve stage III-IVA resectable locoregionally advanced head and neck squamous cell carcinoma. They do not automatically generalize to other disease stages, unresectable disease, other tumor types, or treatment settings. The record also does not report all details needed to assess missing data, multiplicity, or the full adjuvant schedule in the pembrolizumab arm. The statistics describe the evidence recorded for this trial and are not individual medical advice.
19. Why This Trial Matters Statistically
Statistically, the study combines a randomized comparison with a time-to-event primary outcome. Randomization supports a group comparison by treatment assignment, while the event-free survival definition captures progression, recurrence, and death over time. This is more informative about event timing than a single end-of-study proportion, but it requires clear rules for event assessment and follow-up. The registry defines qualifying events and identifies blinded independent central review, allowing readers to understand important parts of the endpoint construction.
The reported hazard ratio, confidence interval, and p-value make it possible to distinguish the estimated direction and magnitude of the primary comparison from its uncertainty. The median estimates add a more directly time-based summary, although one median confidence interval is incomplete in the registry record. Reading both types of summary avoids reducing a survival curve to a single statistic.
The study also illustrates the difference between a primary endpoint and multiple secondary outcomes. Pathological response and quality-of-life outcomes can provide additional context, but multiple analyses create interpretive challenges when multiplicity procedures are not reported. The subgroup outcomes by PD-L1 CPS further emphasize the need to distinguish a prespecified primary comparison from analyses in narrower groups.
Finally, the trial’s open-label design and use of blinded central endpoint review show how assessment procedures can address some, but not all, sources of bias. Reporting the two standard-care participants who received neoadjuvant treatment in error also helps readers understand the efficacy analysis population. The record supports a focused statistical reading while leaving several design and analysis details unavailable.
20. Limitations
- The posted summary statistics are the only data these results rest on; patient-level data, full protocols and statistical analysis plans are not available.
- Recalculated results are simple, unadjusted calculations from posted summaries. They do not replace the sponsor's prespecified analysis.
The registry record identifies the study as open-label, so participants and clinical teams were not masked to treatment assignment. Blinded independent central review was used for the primary event assessment, but this does not remove all possible influences of an unmasked treatment strategy, including those affecting care or follow-up. The exact safeguards beyond central review are not reported in the registry record.
The reported median for the pembrolizumab-plus-standard-care group has a lower confidence limit of 37.5 months, but its upper limit is not reported in the registry record. This makes the uncertainty around that median less complete than for the standard-care median. The exact data cutoff, the number of events at analysis, and follow-up completeness are not reported in the registry record, although the outcome timeframe is listed as up to ~66 months.
The efficacy population included all randomized participants, including two in the standard-care arm who received neoadjuvant treatment in error. Their inclusion in the assigned arm is reported, but detailed sensitivity analyses addressing these deviations are not reported in the registry record. The full postoperative schedule for the pembrolizumab arm is also not available in the arm description.
Multiplicty adjustment, missing-data handling, censoring rules, and the exact primary-analysis stratification factors are not reported in the registry record. Those details would help assess the interpretation of secondary findings and the effects of incomplete follow-up. Generalizability is also limited by the study population: newly diagnosed, treatment-naïve stage III-IVA resectable locoregionally advanced disease. The results should not be assumed to apply to populations or treatment settings not represented by that description.
21. Related Tutorials
22. Related Statistical Calculators
23. Sources
- ClinicalTrials.gov: Study of Pembrolizumab Given Prior to Surgery and in Combination With Radiotherapy Given Post-surgery for Advanced Head and Neck Squamous Cell Carcinoma (MK-3475-689) — NCT03765918.
- Registry record last updated 2026-07-31; status last verified 2026-07.
- Results first posted 2025-08-20.
- Data retrieved from ClinicalTrials.gov on 2026-11-09.
- Group sizes, means, event counts and sponsor-reported p-values are reproduced as posted. Effect estimates, confidence intervals and p-values not attributed to the sponsor are independently calculated from the posted summary statistics.
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24. Record Summary
NCT03765918 is a randomized, phase III, open-label, parallel-group study of pembrolizumab before surgery and with postoperative standard care versus postoperative standard care alone for stage III-IVA resectable locoregionally advanced head and neck squamous cell carcinoma. Enrollment is listed as 714. The primary endpoint is event-free survival assessed by blinded independent central review using RECIST 1.1, with a protocol modification to the target-lesion limit.
The sponsor reports a hazard ratio of 0.73, with a 95% confidence interval from 0.58 to 0.92 and p = 0.004. Median event-free survival is reported as 51.8 months and 30.4 months in the respective arms; an upper confidence limit for the first median is not reported in the registry record. The study status is active, not recruiting, and the record lists the primary completion date as 2024-07-25. Some analysis details, including multiplicity control and missing-data methods, are not reported in the registry record.