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Carcinoma, Nonsquamous Non-small-cell Lung Phase 3 Time-to-Event Analysis NCT03976323

Study of Pembrolizumab With Maintenance Olaparib or Maintenance Pemetrexed in First-line (1L) Metastatic Nonsquamous Non-Small-Cell Lung Cancer (NSCLC) (MK-7339-006, KEYLYNK-006): Complete Statistical Analysis

This analysis examines progression-free survival for pembrolizumab with maintenance olaparib versus pembrolizumab with maintenance pemetrexed in first-line metastatic nonsquamous non-small-cell lung cancer. It also explains the registry’s reported hazard ratio, uncertainty, and related design and interpretation issues.

Trial start: 2019-06-28  ·  Enrollment: 1003  ·  Sponsor: Merck Sharp & Dohme LLC
Scope of this record

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

1. Trial at a Glance

This page covers the registry results for Study of Pembrolizumab With Maintenance Olaparib or Maintenance Pemetrexed in First-line (1L) Metastatic Nonsquamous Non-Small-Cell Lung Cancer (NSCLC) (MK-7339-006, KEYLYNK-006) (NCT03976323), a randomized phase 3 study. The primary outcome is Progression-free Survival (PFS).

1003
Enrollment
Phase 3
2
Arms
In the primary outcome
1.12
Hazard ratio
Pembrolizumab + Olaparib (Maintenance Ph
0.92–1.36
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT03976323
PhasePhase 3
ConditionCarcinoma, Nonsquamous Non-small-cell Lung
AllocationRandomized
Design modelParallel
MaskingNone (open label)
Enrollment1003
Arms in the primary outcome2
Lead sponsorMerck Sharp & Dohme LLC
Results postedYes

2. Clinical Question

Population

Participants with metastatic nonsquamous non-small-cell lung cancer receiving first-line treatment. The registry reports an enrollment of 1003 and describes the primary PFS population as all randomized participants in the Maintenance Phase. The protocol did not plan or conduct this PFS analysis in the Induction Phase.

Intervention

Pembrolizumab with pemetrexed and platinum chemotherapy during induction, followed by pembrolizumab and maintenance olaparib. The registry identifies carboplatin or cisplatin as the platinum options in the study description.

Comparator

Pembrolizumab with pemetrexed and platinum chemotherapy during induction, followed by pembrolizumab and maintenance pemetrexed.

Primary question

Does the pembrolizumab-plus-olaparib maintenance strategy have superior progression-free survival compared with pembrolizumab plus maintenance pemetrexed, where PFS is assessed by blinded independent central review using RECIST 1.1?

The registry identifies PFS and overall survival as the study’s two primary hypotheses. The posted primary result concerns PFS, measured from randomization until documented progression or death from any cause, whichever occurred first. The comparison is specifically for the first pembrolizumab course in the Maintenance Phase. That distinction matters: this estimate is not an induction-phase PFS result, and it does not by itself answer the separate overall-survival hypothesis.

The clinical contrast is between two treatment strategies that share pembrolizumab and induction chemotherapy but differ in the maintenance drug. The statistical question is whether the time-to-event evidence supports the stated superiority hypothesis, and how precisely the treatment comparison is estimated. The registry record does not report the overall-survival result.

3. Trial Design

This was a Phase 3, randomized, parallel-group study with no masking reported. The registry lists an enrollment of 1003 and marks the study as completed. The listed start date is 2019-06-28, and the primary completion date is 2024-02-07. The overall study status is COMPLETED.

Both groups began with pembrolizumab, pemetrexed, and platinum chemotherapy in the Induction Phase. The study description names carboplatin or cisplatin as platinum choices. The strategies then differed in the Maintenance Phase: pembrolizumab with olaparib versus pembrolizumab with pemetrexed. The registry describes an induction course of 4 cycles, with a cycle lasting 3 weeks, in the arm descriptions. The primary PFS analysis is for the first pembrolizumab course in maintenance, not the induction period.

The reported PFS population is all randomized participants in the Maintenance Phase. The arm-level PFS estimates are reported for Pembrolizumab + Olaparib (Maintenance Phase), with 337.0 participants, and Pembrolizumab + Pemetrexed (Maintenance Phase), with 335.0 participants. These analysis counts should not be treated as a replacement for the registry’s overall enrollment figure; they describe the analysis population reported for this endpoint.

Randomization supports a comparison between assigned strategies, while the parallel design means the groups are followed as separate treatment arms. With no masking reported, the study is described as open-label. The primary endpoint was nevertheless assessed by blinded independent central review, according to the endpoint description. The allocation ratio, detailed randomization procedures, and the original sample-size justification 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: Per protocol, response or progression during the second pembrolizumab course were not counted towards patient reported outcomes (PROs) or efficacy outcome measures and adverse events during the second pembrolizumab course will not be counted towards safety outcome measures.

Induction Phase

StagePembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)Pembrolizumab + Olaparib (Maintenance Phase)Pembrolizumab + Pemetrexed (Maintenance Phase)
STARTED100300
COMPLETED67200
NOT COMPLETED33100

Reasons for not completing this period:

ReasonPembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)Pembrolizumab + Olaparib (Maintenance Phase)Pembrolizumab + Pemetrexed (Maintenance Phase)
Failure to Meet Maintenance Randomization Criteria25100
Death8000

Maintenance Phase

StagePembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)Pembrolizumab + Olaparib (Maintenance Phase)Pembrolizumab + Pemetrexed (Maintenance Phase)
STARTED0337335
Treated0337332
Received Second Course of Pembrolizumab0713
COMPLETED000
NOT COMPLETED0337335

Reasons for not completing this period:

ReasonPembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)Pembrolizumab + Olaparib (Maintenance Phase)Pembrolizumab + Pemetrexed (Maintenance Phase)
Participant Ongoing in Study010097
Withdrawal by Subject093
Physician Decision001
Death0228234

Analysis population for the primary outcome, as defined in the registry: All randomized participants in the Maintenance Phase. Per protocol, analysis for this outcome measure was not planned or conducted in the Induction Phase.

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: Pembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase): All participants allocated to the pembrolizumab + Pemetrexed + Platinum Therapy arm in the Induction phase but not randomized into the maintenance phase; Pembrolizumab + Olaparib (Maintenance Phase): All participants randomized to the Pembrolizumab + Olaparib arm post Induction Phase; Pembrolizumab + Pemetrexed (Maintenance Phase): All participants randomized to the Pembrolizumab + Pemetrexed arm post Induction Phase.

CharacteristicUnitPembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)Pembrolizumab + Olaparib (Maintenance Phase)Pembrolizumab + Pemetrexed (Maintenance Phase)Total
Participants analysed3313373351003
Age, ContinuousYears63.3 (SD 9.4)61.6 (SD 8.6)61.8 (SD 9.8)62.3 (SD 9.3)
Sex: Female, Male: FemaleParticipants109110109328
Sex: Female, Male: MaleParticipants222227226675
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants595067176
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants246263253762
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants26241565
Race (NIH/OMB): American Indian or Alaska NativeParticipants54110
Race (NIH/OMB): AsianParticipants569172219
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants0224
Race (NIH/OMB): Black or African AmericanParticipants94821
Race (NIH/OMB): WhiteParticipants236218234688
Race (NIH/OMB): More than one raceParticipants117927
Race (NIH/OMB): Unknown or Not ReportedParticipants1411934
Eastern Cooperative Oncology Group (ECOG) Performance Status (PS) at Baseline of Maintenance Phase: Grade 0Participants0142135277
Eastern Cooperative Oncology Group (ECOG) Performance Status (PS) at Baseline of Maintenance Phase: Grade 1Participants0195200395
Response at Baseline of Maintenance Phase: Complete Response (CR)/Partial Response (PR)Participants0189192381
Response at Baseline of Maintenance Phase: Stable Disease (SD)Participants0148143291
Programmed Cell Death Ligand 1 (PD-L1) Status at Baseline of Maintenance Phase: TPS<50%Participants0228223451
Programmed Cell Death Ligand 1 (PD-L1) Status at Baseline of Maintenance Phase: TPS ≥50%Participants0109110219
Programmed Cell Death Ligand 1 (PD-L1) Status at Baseline of Maintenance Phase: Not EvaluableParticipants0011
Programmed Cell Death Ligand 1 (PD-L1) Status at Baseline of Maintenance Phase: MissingParticipants0011

6. Primary Endpoint

The registry lists the primary outcome as Progression-free Survival (PFS), measured over Up to ~31 months.

ElementRegistry entry
Result typeMedian
Measure of spread95% Confidence Interval
UnitMonths
Endpoint classificationTime-to-Event Analysis

Progression-free survival is the time from randomization to the first documented progressive disease or death due to any cause, whichever occurs first. Progression was determined using RECIST 1.1 based on blinded independent central review. The registry defines progression as at least a 20% increase in the sum of diameters of target lesions, together with an absolute increase of at least 5 mm; the appearance of one or more new lesions also qualifies as progression.

PFS is a time-to-event endpoint. In general, it captures how long participants remain alive without documented progression, combining progression and death into a single event definition. It is useful when the clinical question concerns delaying progression or death, and it allows the analysis to account for differing follow-up times and participants whose event has not been observed by the analysis cutoff.

The registry reports median PFS and a 95% confidence interval for each maintenance group, as well as a hazard ratio from a log-rank analysis. The medians describe the estimated time by which half the analyzed group has experienced an event, under the Kaplan-Meier method. They are not averages, and they do not alone describe the whole event-time pattern. The registry gives the primary PFS timeframe as up to ~31 months and specifies that the final protocol-planned PFS analysis is reported for the first pembrolizumab course in maintenance.

7. Results Posted in the Registry

Hazard ratio: Pembrolizumab + Olaparib (Maintenance Phase) vs Pembrolizumab + Pemetrexed (Maintenance Phase)

1.12

95% CI: 0.92 to 1.36

As reported in the registry

Treatment effect versus the control arm
Forest plot of hazard ratio (as reported) vs control (95% CI)Pembrolizumab + Olaparib (Mai…0.890.981.071.171.281.40hazard ratio (as reported) 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
Time to True Deterioration (TTD) in EORTC QLQ-C30 Global Health Status / Quality of Life (Items 29 & 30) Scale ScoreTime-to-Event AnalysisHazard ratio0.97 (0.76 to 1.24)33,841 events
TTD in EORTC QLQ-LC13 Cough (Item 1) Scale ScoreTime-to-Event AnalysisHazard ratio0.88 (0.66 to 1.17)1,922 events
TTD in EORTC QLQ-LC13 Chest Pain (Item 10) Scale ScoreTime-to-Event AnalysisHazard ratio1.08 (0.78 to 1.51)5,301 events

Time to True Deterioration (TTD) in EORTC QLQ-C30 Global Health Status / Quality of Life (Items 29 & 30) Scale Score

Treatment effect versus the control arm
Forest plot of hazard ratio (as reported) vs control (95% CI)Pembrolizumab + Olaparib (Mai…0.730.820.921.031.151.29hazard ratio (as reported) vs control (95% CI)

TTD in EORTC QLQ-LC13 Cough (Item 1) Scale Score

Treatment effect versus the control arm
Forest plot of hazard ratio (as reported) vs control (95% CI)Pembrolizumab + Olaparib (Mai…0.630.720.820.941.071.22hazard ratio (as reported) vs control (95% CI)

TTD in EORTC QLQ-LC13 Chest Pain (Item 10) Scale Score

Treatment effect versus the control arm
Forest plot of hazard ratio (as reported) vs control (95% CI)Pembrolizumab + Olaparib (Mai…0.740.861.011.171.371.59hazard ratio (as reported) vs control (95% CI)

The registry lists secondary outcomes spanning adverse events, treatment discontinuation due to adverse events, and patient-reported quality-of-life measures. The quality-of-life outcomes include global health status or quality of life and lung-cancer symptoms such as cough and chest pain, assessed through change from baseline or time to true deterioration. The posted time-to-deterioration comparisons have hazard-ratio confidence intervals that include 1, and their reported p-values do not indicate evidence of a group difference under those individual comparisons.

Across these secondary time-to-event findings, the estimates do not form a clear pattern of decisive separation between maintenance strategies. Some group-level median estimates are reported, while median values are not reported for cough and chest-pain deterioration. These secondary outcomes address related but distinct questions from PFS: they concern patient-reported deterioration rather than the primary progression-or-death event definition.

Secondary outcomes can add context about symptoms, quality of life, and tolerability, but they do not replace the primary PFS comparison or establish the separate overall-survival hypothesis. Their interpretation also depends on the analysis plan, the completeness of questionnaire data, and how many outcomes are tested. The registry record does not report a multiplicity adjustment for the secondary analyses or a detailed missing-data approach for patient-reported outcomes.

In general, testing many outcomes increases the chance that at least one result may appear notable by chance if each is interpreted without adjustment. For that reason, unadjusted secondary results generally carry less confirmatory weight than prespecified primary comparisons. The results are best treated as supportive or exploratory unless the registry reports a specific confirmatory testing strategy. The record does not establish such a strategy for these secondary outcomes.

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

9. Statistical Interpretation

Clinical Biostats interpretation

The registry reports median PFS of 7.1 months for pembrolizumab with maintenance olaparib, with a 95% confidence interval of 5.6 to 8.7 months. For pembrolizumab with maintenance pemetrexed, the reported median is 8.3 months, with a 95% confidence interval of 6.9 to 11.5 months. These are Kaplan-Meier median estimates for the Maintenance Phase population described in the record.

The sponsor-reported hazard ratio for pembrolizumab plus olaparib versus pembrolizumab plus pemetrexed is 1.12, with a 95% confidence interval of 0.92 to 1.36 and p = 0.872. The reported test is a log-rank analysis. A hazard ratio of 1 is the no-relative-hazard benchmark. In general, a hazard ratio above 1 for this event definition corresponds to a higher estimated event hazard in the first-named group relative to the comparator; it is not a ratio of median survival times. The confidence interval includes the no-difference benchmark, and the reported p-value does not provide evidence against the stated no-difference null under the tested comparison. These findings do not establish superiority for the olaparib maintenance strategy on this endpoint.

The medians and hazard ratio answer related but different questions. The medians describe the estimated event-time distribution at its midpoint, while the hazard ratio summarizes relative event rates over follow-up under the model used for the comparison. Differences in medians should not be used to reconstruct or replace the sponsor’s hazard-ratio analysis. No extra comparison or numerical contrast is calculated in this interpretation.

The registry’s two primary hypotheses concern PFS and overall survival. The PFS estimate is therefore only one part of the stated primary-outcome framework. An overall-survival result is not reported in the registry record described for this analysis, so it cannot be inferred from the PFS result. The study also lists patient-reported quality-of-life outcomes and safety outcomes, which provide different kinds of information and do not change the definition of the primary PFS endpoint.

In general, a non-significant result is not proof that the strategies are identical. The estimate and its interval indicate uncertainty about the relative hazard, including values on either side of the no-difference benchmark. The appropriate reading is limited to the posted comparison and its precision, not a definitive claim that one maintenance strategy is better or worse in clinical terms.

10. Statistical Methods Explained

The primary PFS analysis uses the Kaplan-Meier method, a non-parametric approach for estimating the event-time distribution. In general, Kaplan-Meier estimation uses the observed event times while retaining information from participants whose event time is not observed during the available follow-up. Those participants are censored at their last known event-free time under the analysis rules. The registry record does not report the detailed censoring rules or missing-data procedures for this analysis.

The Kaplan-Meier curve represents the estimated probability of remaining alive without documented progression over time. Its median is the time at which the estimated event-free probability reaches one half, if that point can be estimated. The registry reports median PFS for both maintenance groups. A median is one summary of the curve; it does not show every change in the estimated event-free probability or describe the full shape of the curves.

The treatment comparison is reported as a hazard ratio from a log-rank analysis. In general, the hazard is the instantaneous event rate among participants who have not yet had the event. A hazard ratio compares these rates between groups over the analysis period. It is not a direct comparison of the proportion who experienced an event, nor is it a ratio of the reported medians. Interpretation is tied to which group is named first, the event definition, and the analysis population. The registry reports the comparison as pembrolizumab plus olaparib versus pembrolizumab plus pemetrexed.

The log-rank test is a standard method for comparing time-to-event experience between groups. In general, it evaluates whether the observed event-time patterns differ more than would be expected under a null hypothesis of no difference, taking account of event timing and censoring. Its p-value is not the probability that the null hypothesis is true, and it does not measure the size or clinical importance of an effect. The sponsor reports p = 0.872 for the PFS comparison.

A 95% confidence interval gives a range of values compatible with the data and the analysis method, under repeated-sampling assumptions. In general, it is a measure of estimation uncertainty rather than a guarantee that the true value lies in the particular interval. The interval around the PFS hazard ratio extends from 0.92 to 1.36. Because it includes 1, the result is compatible with no relative hazard difference as well as with values in either direction. The median confidence intervals likewise reflect uncertainty around each group’s estimated median, rather than a direct interval for the between-group difference.

The registry lists a superiority hypothesis for the PFS comparison. A superiority analysis asks whether the data are inconsistent with the null benchmark of no group difference in the specified direction and framework. A failure to meet a superiority criterion does not demonstrate equivalence or non-inferiority; those conclusions require their own hypotheses and analysis plans. The registry does not report an equivalence or non-inferiority hypothesis for this comparison.

The endpoint population is described as all randomized participants in the Maintenance Phase. The record explicitly states that PFS analysis was not planned or conducted in the Induction Phase. That population definition is important because a reader should not assume the PFS estimate uses every participant in the overall enrollment. The registry does not provide further detail on the exact handling of participants who did not enter maintenance or on the analysis-set rules beyond the stated population.

In general, proportional hazards is an assumption often relevant to interpreting a single hazard ratio as a common relative effect over time. The registry description identifies Kaplan-Meier estimation and a log-rank method but does not report a proportional-hazards diagnostic or an assessment of whether the relative hazard changed over time. The curve and median summaries can help describe event-time patterns, but the record does not report a separate time-varying treatment effect analysis.

Over-dispersion is mainly a concern for count outcomes when observed variability exceeds what a simple count model expects. In general, time-to-event data are analyzed with methods that explicitly account for event timing and censoring rather than with a basic count model. The registry’s stated PFS methods are Kaplan-Meier and log-rank; it does not report a count-model analysis for this endpoint.

The posted result includes the sponsor’s reported hazard ratio, confidence interval, method, and p-value. No discrepancy is flagged between the sponsor analysis and the re-calculated presentation. In general, re-calculations from summary statistics are unadjusted and may not reproduce participant-level modeling or the complete prespecified analysis. For this outcome, the sponsor’s stated analysis is the primary reported comparison, and the registry does not report a distinct adjusted model in the endpoint description.

The registry also lists a second primary hypothesis for overall survival, along with secondary outcomes. It does not give the multiplicity procedure governing those tests, the missing-data strategy for the secondary measures, or the full statistical analysis plan. Those omissions limit what can be concluded about family-wise error control, analysis populations beyond the stated endpoint population, and the treatment of incomplete observations.

11. Confidence Intervals and Precision

The PFS estimate for pembrolizumab with maintenance olaparib is a median of 7.1 months, with a 95% confidence interval from 5.6 to 8.7 months. For pembrolizumab with maintenance pemetrexed, the median is 8.3 months, with a 95% confidence interval from 6.9 to 11.5 months. The intervals indicate that the median estimates are not known without uncertainty; they are not ranges containing every participant’s PFS time.

For the relative comparison, the reported hazard ratio is 1.12 and its 95% confidence interval is 0.92 to 1.36. The interval includes 1, the benchmark for equal relative hazards. It therefore does not isolate a direction of effect with high precision. The interval’s endpoints also indicate that the estimate remains compatible with relative hazards below or above that benchmark. The p-value, 0.872, is consistent with the lack of evidence for a group difference in the reported superiority analysis, but it should not be read as evidence that the strategies are identical.

In general, confidence intervals communicate both the estimated effect and the degree of uncertainty around it. A narrower interval indicates greater precision for the quantity being estimated, while a wider one indicates more uncertainty. Precision depends on information in the analysis, including the number and timing of events and the amount of censoring; the registry does not provide all those details for interpreting the interval’s width.

The confidence intervals around the two medians are separate group-level intervals, not a confidence interval for the difference between medians. The hazard-ratio interval is the direct reported interval for the relative comparison. It is therefore the most relevant interval for judging the uncertainty in the sponsor’s treatment-effect estimate.

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 ratioEvents, 80% powerEvents, 90% power
100% of the observed effect1.122,4453,273
75% of the observed effect1.094,3465,818
50% of the observed effect1.069,77813,090
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect2,0005,00010,00020,00040%60%80%100%80% power90% powersize of effect to detect, as % of the effect observed (log vertical scale: events required (total))
Treat these figures cautiously. The observed difference is imprecise: its confidence interval includes no difference at all. A sample size built on a noisy estimate can be far too small or too large, so the smaller-effect rows are the more cautious guide.
Method and assumptions. Two-sided α = 0.05, 1:1 allocation, Schoenfeld approximation for the log-rank test or Cox model. The answer is the total number of events, not participants; the number of participants depends on how quickly events accrue. Calculated for the comparison: Pembrolizumab + Olaparib (Maintenance Phase) vs Pembrolizumab + Pemetrexed (Maintenance Phase).

The planning illustrations use the observed effect as a starting point and show event targets for time-to-event analyses. These figures are total events across the two comparison groups, not participants per arm. The registry gives illustrations for detecting 100% of the observed effect, 75% of the observed effect, and 50% of the observed effect, with separate columns for 80% and 90% power.

The stated assumptions for these illustrations are a two-sided significance level of 0.05, equal allocation between the two arms, a normal approximation, and an effect to detect equal to the stated fraction of the observed effect. The total-event calculations use the Schoenfeld method. They are planning illustrations computed from the observed effect, not the trial’s original design justification. The trial’s own original sample-size assumptions and justification are not reported in the registry record.

In general, 80% power means that, if the assumed effect and other planning assumptions were correct, the design would have an 80% probability of rejecting the null hypothesis at the stated significance level. The 90% power column describes a higher target probability under the same type of assumptions. These are prospective planning concepts, not probabilities that the observed finding is correct.

Smaller effects are harder to distinguish from random variation than larger effects, so planning to detect a smaller effect generally requires more events or participants, depending on the outcome type. The illustrations therefore show increasing event requirements as the targeted fraction of the observed effect becomes smaller. This is not observed power: it does not measure the study’s achieved power after the results are known, and it does not establish what effect the trial was originally designed to detect.

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 = 4 (z1−α/2 + z1−β)2 / [ln(HR)]2

d is the total number of events needed (Schoenfeld's formula) with 1:1 allocation and proportional hazards.

Worked calculation for this trial

  1. Hazard ratio HR = 1.120, so ln(HR) = 0.1133.
  2. d = 4 × (1.96 + 0.842)2 / [ln(1.120)]2 = 2,444.5, rounded up to 2,445 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 <- 1.12                              # 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(3976323)
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 = 2,445 (80% power), 3,273 (90% power)
 75% of observed effect: events = 4,346 (80% power), 5,818 (90% power)
 50% of observed effect: events = 9,778 (80% power), 13,090 (90% power)
Simulated power with 2,445 events: 0.801 (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. Analyses Reported by the Sponsor

MethodEstimate95% CIP-value
Log RankHazard Ratio (HR) 1.120.92 to 1.360.872

The registry reports the sponsor’s PFS comparison as a log-rank hazard ratio of 1.12, with a 95% confidence interval of 0.92 to 1.36 and p = 0.872. The arm-level medians are 7.1 months for pembrolizumab with maintenance olaparib and 8.3 months for pembrolizumab with maintenance pemetrexed. These are the posted endpoint results and should be distinguished from any simple re-calculation based on summary values.

Re-calculations from posted summary statistics are unadjusted and may not reproduce the sponsor’s participant-level analysis, censoring rules, or other analysis details. When the registry indicates a discrepancy, the sponsor’s own analysis takes precedence. No discrepancy is flagged for this result, so the reported sponsor comparison is consistent with the posted analysis information.

The sponsor’s hazard ratio and p-value should not be replaced by an estimate inferred from the medians. The hazard ratio uses the time-to-event comparison, while medians summarize the event-time distribution separately by group. The registry identifies the log-rank method and supplies the sponsor’s confidence interval and p-value, but it does not report additional participant-level model details or a separate adjusted estimate.

15. Multiplicity, Missing Data and Analysis Populations

The registry identifies two primary hypotheses: superiority for PFS and superiority for overall survival. It reports the PFS analysis but does not report the overall-survival result in the material described for this analysis. The procedure for controlling the chance of false-positive findings across the primary hypotheses is not reported in the registry record. The record also does not state whether testing was sequential, whether significance thresholds were divided, or whether another multiplicity procedure was specified.

This omission matters because a study with multiple primary hypotheses needs a clear account of how evidence across those hypotheses is interpreted. In general, testing multiple hypotheses without adjustment can increase the chance of at least one false-positive result. The reported PFS p-value should therefore be read as the result of its stated analysis, not as proof that all trial-level multiplicity questions have been addressed.

The registry lists multiple secondary outcomes, including adverse-event counts and patient-reported measures. A multiplicity plan for those secondary comparisons is not reported. Their p-values and intervals may be useful descriptively, but without a stated testing hierarchy or adjustment, they should not be treated as a set of independent confirmatory conclusions.

The PFS analysis population is described as all randomized participants in the Maintenance Phase, and the record states that PFS analysis was not planned or conducted during induction. The detailed criteria for entering the maintenance analysis population and the treatment of participants who do not contribute follow-up are not reported. Also not reported are the missing-data rules for the PFS analysis, the censoring details, and the handling of missing patient-reported questionnaire responses.

In general, missing observations and censoring can affect the information available for an analysis, and assumptions about them can influence interpretation. The registry’s endpoint description specifies Kaplan-Meier estimation and log-rank testing but does not provide enough detail to assess the underlying missing-data assumptions or reproduce the analysis. The full statistical analysis plan, including interim-analysis details and analysis-population definitions beyond those stated, is not reported in the registry record.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Pembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)235100323.4%
Pembrolizumab (First Course) + Olaparib (Maintenance Phase)11833735.0%
Pembrolizumab (First Course) + Pemetrexed (Maintenance Phase)12533237.7%
Pembrolizumab (Second Course) + Olaparib (Maintenance Phase)070.0%
Pembrolizumab (Second Course) + Pemetrexed (Maintenance Phase)1137.7%
Participants with at least one serious adverse event
Serious adverse events by armPembrolizumab + Pemetrexed + …23.4%Pembrolizumab (First Course) …35.0%Pembrolizumab (First Course) …37.7%Pembrolizumab (Second Course)…0.0%Pembrolizumab (Second Course)…7.7%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
Pembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)116 of 1003
Pembrolizumab (First Course) + Olaparib (Maintenance Phase)233 of 337
Pembrolizumab (First Course) + Pemetrexed (Maintenance Phase)233 of 335
Pembrolizumab (Second Course) + Olaparib (Maintenance Phase)0 of 7
Pembrolizumab (Second Course) + Pemetrexed (Maintenance Phase)2 of 13

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
Pembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)872 of 1003
Pembrolizumab (First Course) + Olaparib (Maintenance Phase)298 of 337
Pembrolizumab (First Course) + Pemetrexed (Maintenance Phase)289 of 332
Pembrolizumab (Second Course) + Olaparib (Maintenance Phase)2 of 7
Pembrolizumab (Second Course) + Pemetrexed (Maintenance Phase)9 of 13

Most frequent serious adverse event terms

Event termOrgan systemPembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)Pembrolizumab (First Course) + Olaparib (Maintenance Phase)Pembrolizumab (First Course) + Pemetrexed (Maintenance Phase)Pembrolizumab (Second Course) + Olaparib (Maintenance Phase)Pembrolizumab (Second Course) + Pemetrexed (Maintenance Phase)
PneumoniaInfections and infestations23 of 100314 of 33711 of 3320 of 70 of 13
AnaemiaBlood and lymphatic system disorders24 of 10039 of 3378 of 3320 of 70 of 13
COVID-19 pneumoniaInfections and infestations9 of 10036 of 33717 of 3320 of 70 of 13
PneumonitisRespiratory, thoracic and mediastinal disorders7 of 10037 of 33710 of 3320 of 70 of 13
ThrombocytopeniaBlood and lymphatic system disorders18 of 10030 of 3372 of 3320 of 70 of 13
Pleural effusionRespiratory, thoracic and mediastinal disorders11 of 10031 of 3375 of 3320 of 70 of 13
Pulmonary embolismRespiratory, thoracic and mediastinal disorders10 of 10037 of 3370 of 3320 of 70 of 13
DeathGeneral disorders8 of 10033 of 3375 of 3320 of 70 of 13
Febrile neutropeniaBlood and lymphatic system disorders11 of 10032 of 3372 of 3320 of 70 of 13
SepsisInfections and infestations11 of 10032 of 3371 of 3320 of 70 of 13

Most frequent non-serious adverse event terms

Event termOrgan systemPembrolizumab + Pemetrexed + Platinum Therapy (Induction Phase)Pembrolizumab (First Course) + Olaparib (Maintenance Phase)Pembrolizumab (First Course) + Pemetrexed (Maintenance Phase)Pembrolizumab (Second Course) + Olaparib (Maintenance Phase)Pembrolizumab (Second Course) + Pemetrexed (Maintenance Phase)
AnaemiaBlood and lymphatic system disorders385 of 1003122 of 337125 of 3321 of 72 of 13
NauseaGastrointestinal disorders310 of 100381 of 33763 of 3320 of 70 of 13
NeutropeniaBlood and lymphatic system disorders235 of 100357 of 33732 of 3320 of 70 of 13
Decreased appetiteMetabolism and nutrition disorders155 of 100352 of 33752 of 3320 of 71 of 13
FatigueGeneral disorders140 of 100358 of 33754 of 3320 of 70 of 13
ConstipationGastrointestinal disorders169 of 100321 of 33739 of 3320 of 70 of 13
LeukopeniaBlood and lymphatic system disorders141 of 100348 of 33719 of 3320 of 70 of 13
ThrombocytopeniaBlood and lymphatic system disorders114 of 100357 of 33735 of 3320 of 70 of 13
Alanine aminotransferase increasedInvestigations110 of 100331 of 33752 of 3320 of 70 of 13
AstheniaGeneral disorders107 of 100331 of 33738 of 3320 of 71 of 13

Serious events with the highest arm-level rate: respiratory tract infection (7.7%), covid-19 pneumonia (5.1%), pneumonia (4.2%), pneumonitis (3.0%), anaemia (2.7%).

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

The registry reports serious adverse events during induction for 235 of 1003 participants at risk. In the first-course maintenance groups, serious adverse events were reported for 118 of 337 participants at risk with pembrolizumab and olaparib, and for 125 of 332 participants at risk with pembrolizumab and pemetrexed. These figures are counts of participants with one or more serious adverse events, not event rates per person-time.

The registry’s listed leading serious adverse-event terms include respiratory tract infection at 7.7%, COVID-19 pneumonia at 5.1%, pneumonia at 4.2%, pneumonitis at 3.0%, anaemia at 2.7%, and pulmonary embolism at 2.1%. These listed terms should not be added together: an individual may experience more than one event term, and the registry excerpt does not establish that the categories are mutually exclusive.

The death counts are separately reported by registry group; the record does not establish in this summary that these deaths were caused by adverse events. Safety counts should be interpreted in light of the different treatment phases and analysis populations, rather than as a direct efficacy comparison. These data describe reported events and do not determine what treatment is appropriate for an individual.

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

The primary result is an estimate of PFS for two maintenance strategies following pembrolizumab, pemetrexed, and platinum induction. The reported medians are 7.1 months for pembrolizumab with olaparib and 8.3 months for pembrolizumab with pemetrexed. The sponsor’s reported hazard ratio is 1.12, with a 95% confidence interval of 0.92 to 1.36 and p = 0.872. Taken together, the posted results do not establish superiority of the olaparib maintenance strategy for PFS.

This conclusion is limited to the specified endpoint, the maintenance analysis population, the follow-up reflected in the registry result, and the sponsor’s reported comparison. It is not a statement that the treatment strategies are equivalent. The confidence interval includes the no-relative-hazard benchmark and remains compatible with estimates in either direction. A non-significant p-value does not show that a difference is impossible or that both strategies have the same effect.

PFS does not answer every question about treatment. It combines documented progression and death into one endpoint and is not the same as overall survival, symptom control, quality of life, or adverse effects. The trial lists overall survival as another primary hypothesis, but its result is not reported in the registry record. The secondary outcomes address some quality-of-life and safety questions, but their unadjusted status and missing-data details limit confirmatory interpretation.

In general, evidence from a randomized comparison estimates an average contrast between assigned strategies in the analyzed study population. It does not predict an individual participant’s outcome, and it does not establish that a particular choice is suitable for a person. The registry results are statistical evidence about the specified comparison, not medical advice or a complete assessment of the benefits and harms relevant to treatment decisions.

18. Why This Trial Matters Statistically

This trial presents a useful statistical contrast because the two strategies share pembrolizumab and induction chemotherapy while differing in the maintenance agent. That structure focuses the clinical question on maintenance olaparib versus maintenance pemetrexed, while preserving the broader treatment sequence specified in the study. The primary endpoint is time-to-event, so both event timing and incomplete follow-up matter to the analysis.

The reported PFS medians alone might invite a simple comparison, but the sponsor’s analysis uses a hazard ratio and log-rank test across the time-to-event information. This illustrates why endpoint summaries should be interpreted according to the estimand and analysis method rather than by comparing medians as if they were direct treatment-effect estimates. The hazard-ratio interval also makes uncertainty explicit and includes the no-difference benchmark.

The record distinguishes the Maintenance Phase PFS analysis from the Induction Phase and identifies the analyzed population accordingly. This is important for understanding which participants and period the estimate describes. The trial also has a second primary hypothesis for overall survival, and the registry lists quality-of-life and safety outcomes, demonstrating that a clinical trial can pose multiple related but nonidentical statistical questions.

Finally, the registry record illustrates the limits of interpreting posted summary results without a full statistical analysis plan. Multiplicity procedures, detailed missing-data rules, and original design assumptions are not reported. Those details influence how strongly one can generalize from a p-value or treat secondary outcomes as confirmatory. Careful interpretation therefore requires attention to both the reported estimates and the information that remains unavailable.

19. Limitations

The registry record does not report the original sample-size justification or the trial’s design assumptions for the primary analysis. The planning illustrations based on observed effects are not a substitute for that original rationale. The record also does not report details of any interim analyses or how the two primary hypotheses were handled for multiplicity.

The PFS result applies to participants described as randomized in the Maintenance Phase, and the protocol did not plan or conduct PFS analysis during induction. The registry does not provide further detail on the rules defining entry into this analysis population, the reasons participants may not contribute to it, or the detailed censoring and missing-data procedures. Those details would help assess how follow-up and incomplete observations were handled.

The registry specifies Kaplan-Meier estimation and a log-rank analysis but does not report proportional-hazards diagnostics or a time-varying treatment effect analysis. In general, a single hazard ratio may be less informative if relative hazards change over time. The posted medians provide additional descriptive context, but they do not answer whether the relative treatment effect was constant.

Blinding is listed as none, although PFS was assessed by blinded independent central review. The registry does not describe other safeguards against bias in treatment delivery, follow-up, or patient-reported outcome collection. Further, the overall-survival result and the full statistical analysis plan are not reported in this record. These limitations affect the scope and detail of interpretation; they do not by themselves invalidate the reported estimates.

20. Related Tutorials

21. Related Statistical Calculators

22. Sources

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23. Record Summary

NCT03976323 is a completed randomized Phase 3 parallel-group study of pembrolizumab with maintenance olaparib versus pembrolizumab with maintenance pemetrexed after pembrolizumab, pemetrexed, and platinum induction for first-line metastatic nonsquamous non-small-cell lung cancer. The registry lists enrollment of 1003 and no masking.

The primary PFS analysis is for all randomized participants in the Maintenance Phase and uses Kaplan-Meier estimation, with a log-rank hazard-ratio comparison. Median PFS was 7.1 months with olaparib and 8.3 months with pemetrexed. The reported hazard ratio was 1.12, with a 95% confidence interval of 0.92 to 1.36 and p = 0.872. The result does not establish PFS superiority for the olaparib strategy.

The registry identifies overall survival as a second primary hypothesis but does not report its result in this record. Multiplicity procedures, detailed missing-data rules, and original sample-size assumptions are also not reported.

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