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Metastatic Breast Cancer Phase 2 Randomized NCT03147287

PACE: Complete Statistical Analysis of Palbociclib in Metastatic Breast Cancer

An independent statistical analysis of the randomized phase 2 PACE trial evaluating palbociclib-based treatment after CDK and endocrine therapy in metastatic breast cancer, with emphasis on progression-free survival, response, statistical testing, and interpretation of the reported results.

PACE  ·  Phase 2  ·  Dana-Farber Cancer Institute  ·  Enrollment 220
Scope of this record

This page separates reported trial results from statistical interpretation. Numerical results are restricted to the ClinicalTrials.gov record and the linked publication record. Where the registry does not provide a requested detail, it is not inferred from outside sources.

Independent analysis: This page provides an independent statistical analysis and educational interpretation of publicly reported results. ClinicalTrials.gov provides the official trial registry record.

1. Trial at a Glance

PACE is a randomized, open-label, parallel phase 2 trial in metastatic breast cancer. The trial enrolled 220 participants across 3 arms and evaluates treatment involving palbociclib, fulvestrant, and avelumab. The posted primary efficacy analysis compares progression-free survival between fulvestrant alone and fulvestrant with palbociclib.

220
Enrollment
Planned / registered total
3
Arms
Randomized parallel design
1.11
Primary PFS HR
90% CI 0.79–1.55
0.62
Primary P-value
One-sided superiority test
FeaturePACE
Trial namePACE
Brief titlePalbociclib After CDK and Endocrine Therapy (PACE)
PhasePhase 2
StatusActive, not recruiting
ConditionMetastatic Breast Cancer
AllocationRandomized
Design modelParallel
MaskingNone
Primary purposeTreatment
Enrollment220
Arms3
Lead sponsorDana-Farber Cancer Institute
Start2017-09-05
Primary completion2022-12-31
Results postedYes
ClinicalTrials.govNCT03147287

2. Clinical Question

The PACE trial addresses a treatment question in participants with metastatic breast cancer after CDK and endocrine therapy. The registered trial evaluates palbociclib, fulvestrant, and avelumab across 3 randomized arms; the posted primary statistical comparison evaluates progression-free survival between fulvestrant alone and fulvestrant with palbociclib.

Population

Participants with metastatic breast cancer enrolled in the PACE trial after CDK and endocrine therapy, as reflected in the trial's brief title and condition.

Intervention of the primary comparison

Fulvestrant with palbociclib.

Comparator of the primary comparison

Fulvestrant.

Primary question

Does fulvestrant with palbociclib produce a superior progression-free survival distribution compared with fulvestrant alone?

3. Trial Design

01
Randomize 220 participants
02
3 arms Parallel randomized design
03
Treatment Fulvestrant, palbociclib, avelumab
04
Assess PFS and response
05
Analyze Log-rank and Fisher exact tests

The registry identifies the allocation as randomized and the design model as parallel. Masking is listed as none, so this is an open-label design rather than a blinded comparison.

Allocation
Randomized
Design model
Parallel
Masking
None
Primary purpose
Treatment

Registered treatment arms

ARM 1

Fulvestrant

  • Fulvestrant is listed as a study intervention.
  • This arm is the comparator in the posted primary PFS analysis.
ARM 2

Fulvestrant With Palbociclib

  • Fulvestrant with palbociclib.
  • This arm is the treatment group in the posted primary PFS analysis.
ARM 3

Fulvestrant With Palbociclib and Avelumab

  • Fulvestrant with palbociclib and avelumab.
  • The registry lists avelumab as an intervention.
Important comparison detail: the primary statistical analysis posted in the registry is specifically Fulvestrant vs Fulvestrant With Palbociclib. The existence of a third randomized arm does not mean that its results can be inferred from the two-arm primary analysis.

4. Endpoints

EndpointRegistry definition / time framePosted analysis
Primary: Progression-Free Survival (PFS), According to RECIST v1.1 Criteria (Investigator Assessment) The time from randomization to the earlier of progression or death due to any cause. Participants alive without disease progression were censored at date of last disease assessment. Tumor were assessed every 8 weeks until 24 weeks, then every 12 weeks. The median PFS follow-up time at database lock was 12.1 months (range 1 day to 50.1 months). Log-rank test; hazard ratio from Cox proportional-hazards model
Secondary: Overall Response Rate, According to RECIST v1.1 Criteria (Investigator Assessment) Tumor were assessed every 8 weeks until 24 weeks, then every 12 weeks. The median follow-up time for overall response rate at database lock was 12.1 months (range 1 day to 50.1 months). Fisher exact test

The registry reports 1 primary endpoint and 3 posted outcome measures. Two statistical analyses are posted: 1 primary-endpoint analysis and 1 secondary analysis.

5. Primary Result: Progression-Free Survival

The posted primary analysis compares the PFS distributions of fulvestrant alone with fulvestrant plus palbociclib. The registry specifies a one-sided log-rank test with an alpha level of 0.05 for the primary objective. The hazard ratio is estimated from a Cox proportional-hazards model, with fulvestrant plus palbociclib divided by fulvestrant.

Hazard ratio for progression or death

1.11

Two-sided 90% CI: 0.79–1.55   ·   P = 0.62

Comparison: Fulvestrant With Palbociclib / Fulvestrant

Primary PFS analysisReported result
EndpointProgression-Free Survival, according to RECIST v1.1 criteria, investigator assessment
ComparisonFulvestrant vs Fulvestrant With Palbociclib
Analysis methodLog-rank test
Effect measureHazard ratio
Hazard ratio1.11
Confidence intervalTwo-sided 90% CI: 0.79–1.55
P-value0.62
Hypothesis typeSuperiority
Testing frameworkOne-sided alpha level of 0.05
Clinical Biostats interpretation

The reported hazard ratio of 1.11 is defined in the registry analysis as the hazard for the fulvestrant-plus-palbociclib group divided by the hazard for the fulvestrant group. Under that convention, an HR below 1 would indicate a lower estimated hazard of a PFS event with fulvestrant plus palbociclib. An HR of 1.11 therefore corresponds to an estimated hazard that is 11% higher in the numerator group relative to the comparator under the fitted model.

That statement is about the estimated relative hazard; it does not mean that 11% more participants progressed, that every participant had an 11% higher probability of progression, or that the difference in individual outcomes was exactly 11%.

The two-sided 90% confidence interval of 0.79–1.55 describes uncertainty around the estimated hazard ratio under the model and analysis framework. Because the interval includes 1, the estimate is compatible with hazard ratios below and above the null value. The interval is about precision of the estimated relative hazard, not a range containing the treatment effect for individual patients.

The P = 0.62 value is evidence from the prespecified one-sided superiority test; it is not a measure of the magnitude of the treatment effect. A p-value should not be interpreted as the probability that the treatment works, nor as a percentage reduction or increase in risk.

Finally, the hazard ratio is model-based. Its interpretation depends on the time-to-event analysis and the Cox proportional-hazards framework. Censoring and the proportional-hazards assumption are therefore relevant to interpretation. The registry also identifies stratified analysis as an analysis concept, but the ClinicalTrials.gov record does not provide the complete stratification variables or the full Cox model specification, so those details are not reconstructed here.

What the primary test was actually asking

The analysis notes define the primary hypotheses as:

Primary hypothesis
H0: PFS1 ≤ PFS2    vs    HA: PFS1 > PFS2

The registry describes a one-sided alpha level of 0.05 and a log-rank comparison of the PFS distributions. The exact labels “1” and “2” are retained from the registry analysis note rather than assigning new arm numbering on this page.

This is important because the primary hypothesis was directional: the trial was testing superiority rather than simply asking whether the two PFS distributions were different in either direction.

6. Secondary Result: Overall Response Rate

Overall Response Rate, according to RECIST v1.1 criteria with investigator assessment, is listed as a secondary outcome measure. The posted statistical analysis compares fulvestrant with fulvestrant plus palbociclib using an unstratified Fisher exact test.

Fisher exact comparison

P = 1.000

Comparison: Fulvestrant vs Fulvestrant With Palbociclib

Analysis: Fisher exact test

Secondary analysisReported result
OutcomeOverall Response Rate, according to RECIST v1.1 criteria, investigator assessment
Outcome unitPercentage of participants analyzed
ComparisonFulvestrant vs Fulvestrant With Palbociclib
MethodFisher exact test
P-value1.000
Hypothesis typeSuperiority
Clinical Biostats interpretation

The Fisher exact test is appropriate for comparing a binary response outcome between two treatment groups, particularly when exact inference is desired. The registry reports P = 1.000 for this comparison.

The registry-reported statistical analysis does not provide the response counts, response percentages, confidence intervals, or an effect estimate. Consequently, this page does not infer or reconstruct those quantities. The reported p-value alone does not tell us the absolute difference in response rate or the precision of that difference.

Likewise, the p-value does not establish that the response rates are identical. It reports the result of the specified statistical comparison; effect size and uncertainty require the underlying response counts or corresponding estimates.

7. Statistical Methodology

Kaplan-Meier estimation for PFS

Progression-free survival is a time-to-event endpoint. The registry defines PFS as the time from randomization to the earlier of progression or death due to any cause, with participants alive without progression censored at their last disease assessment. A Kaplan-Meier estimator is the standard nonparametric method for describing such a time-to-event distribution.

Kaplan-Meier concept
S(t) = ∏ti ≤ t (1 − di/ni)

Here, di represents the number of events at an event time and ni represents the number at risk immediately beforehand. The estimator naturally accommodates right-censored observations.

The ClinicalTrials.gov record does not provide a Kaplan-Meier table or individual event and censoring times. Therefore, this page does not attempt to reconstruct a survival curve.

Log-rank test

The primary PFS comparison uses a log-rank test. Conceptually, the log-rank test compares the observed and expected numbers of events between treatment groups across the observed event times. It uses the ordering of event times rather than reducing the entire follow-up period to a single binary outcome.

For PACE, the registry specifies a one-sided alpha level of 0.05 for the primary superiority objective. This directional testing framework is important when interpreting the reported P = 0.62.

Cox proportional-hazards model

The hazard ratio was estimated from a Cox proportional-hazards model. The registry analysis notes specify the direction as F+P / F, meaning fulvestrant with palbociclib divided by fulvestrant.

Hazard-ratio interpretation
HR = hazard in Fulvestrant + Palbociclib / hazard in Fulvestrant

Under this direction, HR < 1 indicates a reduced estimated hazard of a PFS event with fulvestrant plus palbociclib, while HR > 1 indicates a higher estimated hazard under the fitted model.

Fisher exact test

The secondary overall-response comparison uses Fisher's exact test. Unlike PFS, response is a binary endpoint: participants are classified according to whether they meet the prespecified response definition. Fisher's exact test evaluates the association between treatment group and the binary response outcome without relying on the large-sample approximation used by some other categorical tests.

Stratified analysis

The registry-reported analysis metadata identifies stratified analysis as a concept associated with the posted PFS analysis. However, the ClinicalTrials.gov record does not identify the complete stratification variables or provide enough information to reproduce the stratified analysis exactly. The page therefore distinguishes the documented presence of stratified analysis from any unsupported reconstruction of its implementation.

8. Statistical Methods Explained

Why was a log-rank test used for PFS?

PFS is defined as time from randomization to progression or death, with censoring for participants who remain alive without progression at their last disease assessment. A log-rank test is designed for comparing time-to-event distributions while retaining information about when events occur during follow-up. A simple comparison of the proportion of participants who progressed would discard much of that timing information.

What does an HR of 1.11 mean?

Because the registry defines the Cox estimate as fulvestrant with palbociclib divided by fulvestrant, an HR of 1.11 means the estimated instantaneous event hazard was 1.11 times the comparator hazard under the fitted model. Equivalently, it is an estimated 11% higher hazard under that model. It is not an 11-percentage-point difference in progression probability and does not mean that every participant experienced an 11% increase in risk.

Why is the confidence interval two-sided when the primary test is one-sided?

The registry reports a one-sided alpha level of 0.05 for the primary superiority test while reporting a two-sided 90% confidence interval for the hazard ratio. These are related but distinct pieces of the statistical presentation. The test addresses the prespecified directional hypothesis, while the two-sided interval describes uncertainty on both sides of the estimated hazard ratio.

Why does P = 0.62 not tell us the size of the treatment effect?

A p-value measures the compatibility of the observed data with the null hypothesis under the specified testing framework. It is not an effect-size statistic. The PFS effect size is represented by the hazard ratio of 1.11, while the two-sided 90% CI of 0.79–1.55 describes uncertainty around that estimate.

Why use Fisher exact test for overall response?

Overall response is a binary outcome. Fisher exact testing compares the allocation of responders and nonresponders between the two treatment groups using an exact method. The registry-reported analysis reports P = 1.000 but does not provide the underlying response counts, so the magnitude of the response-rate difference cannot be reconstructed from the ClinicalTrials.gov record alone.

What does censoring mean in this PFS analysis?

Participants who were alive without disease progression were censored at the date of their last disease assessment. Censoring means that the participant contributes information up to the last time their event-free status is known; it does not mean that the participant is counted as having progressed at that time. The validity of a time-to-event analysis depends on the assumptions governing censoring and follow-up.

9. One-Sided Testing and the PFS Result

The PACE primary analysis is especially useful for understanding the distinction between a directional hypothesis and the numerical value of an estimated effect. The registry specifies a one-sided alpha level of 0.05 and a superiority hypothesis.

Directional question

The primary objective was framed around whether the PFS distribution with fulvestrant plus palbociclib was superior to the comparator distribution.

Observed estimate

The reported hazard ratio was 1.11, with the numerator defined as fulvestrant plus palbociclib.

Uncertainty

The two-sided 90% confidence interval was 0.79–1.55, spanning the null value of 1.

Test result

The reported p-value was 0.62 under the specified superiority testing framework.

These quantities should be read together. The hazard ratio gives the estimated relative effect, the confidence interval gives a measure of uncertainty around that estimate, and the p-value reports the result of the specified hypothesis test. None of the three quantities alone provides a complete description of the evidence.

10. Confidence Intervals: What the PFS Interval Tells Us

Reported two-sided 90% confidence interval

0.79–1.55

Point estimate: HR 1.11

The interval extends below and above the null hazard ratio of 1. This means the registry-reported estimate is accompanied by uncertainty that includes both lower and higher relative hazards under the Cox model.

Precision is not the same as significance

The confidence interval is a statement about statistical uncertainty under the specified model and sampling framework. It should not be interpreted as a range of outcomes that individual participants could experience. Nor should its width be translated directly into a clinical judgment without considering the endpoint, study design, population, and magnitude of effects that would matter clinically.

The confidence interval also explains why reporting only the point estimate would be inadequate. An HR of 1.11 by itself gives a single estimate. The interval shows how much uncertainty surrounds that estimate in the reported analysis.

11. Safety Results

The ClinicalTrials.gov record reports serious adverse events by arm as affected participants over participants at risk. These are the only arm-specific safety counts provided in the ClinicalTrials.gov record.

ArmSerious adverse eventsAffected / at risk
FulvestrantSerious adverse events1 / 53
Fulvestrant With PalbociclibSerious adverse events46 / 110
Fulvestrant With Palbociclib and AvelumabSerious adverse events37 / 53

These counts should be interpreted as reported arm-level safety summaries. The ClinicalTrials.gov record does not provide definitions for individual serious adverse events, exposure duration, severity distributions, attribution, or confidence intervals. Accordingly, this page does not calculate additional comparative safety measures from the counts.

Safety and efficacy are different analyses. The primary PFS comparison is anchored to the randomized treatment comparison and uses a time-to-event framework. Serious adverse events are exposure-related safety outcomes summarized by treatment arm. They should not be combined into a single numerical benefit-risk statistic without a prespecified framework.

12. What Is and Is Not Reported in the Registry Data

The ClinicalTrials.gov record contains enough information to describe the principal PFS and response analyses, but it does not support reconstruction of every statistical feature that might normally appear in a full clinical-trial report.

TopicWhat the ClinicalTrials.gov record supports
Primary endpoint1 registered primary time-to-event endpoint: PFS
Primary statistical analysisLog-rank test with hazard ratio from a Cox proportional-hazards model
Primary confidence intervalTwo-sided 90% CI: 0.79–1.55
Primary p-value0.62
Secondary statistical analysisFisher exact test for overall response rate
Stratified analysisIdentified as an analysis concept; complete strata are not reported
Kaplan-Meier resultsEndpoint type supports Kaplan-Meier estimation, but no KM estimates or curve data are reported
Median PFSNot provided in the ClinicalTrials.gov record
Subgroup resultsNot provided in the ClinicalTrials.gov record
Formal response estimateNot provided; only Fisher exact P = 1.000 is reported
Interim analysisNot identified in the ClinicalTrials.gov record
Multiplicity procedureNot identified in the ClinicalTrials.gov record
Missing-data / imputation methodNot identified in the ClinicalTrials.gov record
Bayesian methodsNot identified in the ClinicalTrials.gov record
Non-inferiority marginNot applicable to the reported superiority hypothesis and not identified in the ClinicalTrials.gov record
CrossoverNot identified in the ClinicalTrials.gov record
Factorial designNot identified; the registered design model is parallel

13. Analysis Populations and Interpretation

The ClinicalTrials.gov record does not provide detailed definitions of the analysis populations used for the posted PFS or response analyses. That limitation matters because treatment-effect estimates can depend on whether participants are analyzed according to randomized assignment, treatment received, or another prespecified population.

For the primary PFS result, the safest interpretation is therefore to retain the registry's stated comparison and statistical method rather than assigning an unsupported label such as intention-to-treat or per-protocol to the posted analysis.

Why this distinction matters: randomization establishes the treatment comparison at baseline, but the statistical population actually used for an analysis determines which participants contribute to the reported estimate. The ClinicalTrials.gov record does not provide enough information to reconstruct that population definition exactly.

14. Stratified Analysis

The statistical analysis metadata identifies stratified analysis as a concept associated with the primary PFS analysis. Stratification can be used to account for prespecified factors when comparing time-to-event outcomes, particularly when those factors were incorporated into the randomization or analysis plan.

For a stratified log-rank test, evidence from the individual strata is combined rather than treating each stratum as an entirely separate hypothesis test. A stratified Cox model can similarly estimate a common treatment hazard ratio while allowing the underlying baseline hazard to differ across strata.

Conceptual structure
Treatment effect  =  comparison across risk sets within the specified strata

The exact strata used in the PACE analysis are not provided in the ClinicalTrials.gov record, so no specific stratification factors are assigned here.

This is a useful example of why registry metadata and a complete statistical analysis plan are not interchangeable. The registry identifies that stratified analysis was part of the analysis concept, but the available data do not expose every implementation detail.

15. Limitations

16. Why This Trial Matters Statistically

PACE is a useful teaching example because its posted analysis brings together several core clinical-trial methods without requiring a large collection of different endpoint types. The primary endpoint is time-to-event, while the secondary response endpoint is binary. That makes the trial a compact illustration of how the statistical method changes with the structure of the outcome.

ConceptHow it appears in PACE
RandomizationThe trial is randomized with a parallel design and 3 arms.
Time-to-event endpointPFS is defined from randomization to progression or death.
Kaplan-Meier estimationThe PFS endpoint is naturally suited to Kaplan-Meier estimation, although no curve or numerical KM estimates are reported.
Log-rank testThe posted primary comparison uses a log-rank test.
Hazard ratioThe primary effect measure is an HR of 1.11.
Confidence intervalThe HR is accompanied by a two-sided 90% CI of 0.79–1.55.
One-sided testingThe primary objective uses a one-sided alpha level of 0.05 for a superiority hypothesis.
Stratified analysisStratified analysis is identified in the primary analysis metadata.
Fisher exact testThe secondary overall-response comparison uses Fisher exact testing.
Binary endpointOverall response rate is analyzed as a percentage of participants analyzed.
Safety by armSerious adverse events are reported as affected participants over participants at risk for each arm.

17. A Deeper Reading of the PFS Result

The most important statistical lesson from the PFS analysis is that a treatment effect should not be reduced to a single p-value. The PACE analysis reports three complementary pieces of information: a hazard ratio, a confidence interval, and a hypothesis-test result.

Effect estimate

HR 1.11 is the model-based estimate of the relative hazard, with fulvestrant plus palbociclib in the numerator.

Uncertainty

90% CI 0.79–1.55 shows uncertainty around the estimated hazard ratio and includes the null value of 1.

Hypothesis test

P = 0.62 is the reported result of the one-sided superiority test using alpha 0.05.

Endpoint meaning

PFS incorporates both progression and death and also incorporates censoring for participants who remain alive without progression at their last assessment.

These are different statistical objects. The HR describes the estimated relative treatment effect, the confidence interval describes uncertainty around that estimate, and the p-value addresses the prespecified null hypothesis. Keeping those roles separate prevents several common interpretation errors.

18. Primary Endpoint: What PFS Actually Measures

The registered PFS definition is time from randomization to the earlier of progression or death due to any cause. This composite event definition means that death can produce a PFS event even if documented tumor progression has not occurred first.

Participants who were alive without disease progression were censored at their last disease assessment. Thus, PFS analysis uses more information than a simple yes/no determination of whether a participant eventually progressed.

Educational interpretation

A PFS hazard ratio should therefore be understood as a relative comparison of the event process over follow-up, not as a direct statement about the percentage of participants who are progression-free at a particular calendar time. To make an absolute interpretation at a particular time point, a survival estimate such as a Kaplan-Meier PFS probability would be needed.

The ClinicalTrials.gov record does not report such time-specific PFS probabilities or median PFS, so this page does not create them.

19. Overall Response Rate: A Different Statistical Question

Overall response rate and PFS have different data structures. ORR is a binary outcome based on whether participants meet the response criterion, whereas PFS records the timing of progression or death and can include censoring.

FeaturePFSOverall Response Rate
Endpoint typeTime-to-eventBinary
Posted methodLog-rank testFisher exact test
Effect measure postedHazard ratioNo effect estimate reported
Reported p-value0.621.000
Confidence interval reportedTwo-sided 90% CI: 0.79–1.55Not reported

This distinction illustrates a broader principle in clinical biostatistics: the analysis should follow the structure of the endpoint. Applying a time-to-event method to a binary response endpoint, or treating a hazard ratio as if it were a response-rate ratio, would change the question being answered.

20. Serious Adverse Events Across the Three Arms

The three-arm structure becomes particularly visible in the safety data. Unlike the posted primary efficacy analysis, which compares 2 arms, the registry-reported serious-adverse-event summary contains a value for each of the 3 registered arms.

Serious adverse events: affected / at risk
Fulvestrant
1 / 53
Fulvestrant + Palbociclib
46 / 110
Fulvestrant + Palbociclib + Avelumab
37 / 53

The bar lengths above are visual representations of the reported affected counts relative to the largest affected count; the underlying reported quantities are shown explicitly as affected / at risk. The ClinicalTrials.gov record does not provide enough information to determine whether differences in serious-adverse-event burden are statistically tested or clinically attributable to individual interventions.

21. Trial Timeline

2017-09-05

Trial start

The registered start date for PACE is 2017-09-05.

2022-12-31

Primary completion

The registered primary completion date is 2022-12-31.

Current registry status

Active, not recruiting

The ClinicalTrials.gov record identifies the trial status as ACTIVE_NOT_RECRUITING.

Results posted

Statistical analyses available

The registry reports results and 2 statistical analyses, including 1 primary-endpoint analysis and 1 secondary analysis.

22. What the PACE Analysis Does Not Establish

Several statements would go beyond the registry-reported evidence. The reported PFS hazard ratio does not establish a treatment effect for the third arm, does not provide median PFS, and does not quantify the absolute difference in PFS at a particular time point. Likewise, the secondary P = 1.000 does not provide the response-rate difference.

Do not overread a single statistic. An HR of 1.11 is an estimated relative hazard under a specific model. P = 0.62 is a hypothesis-test result. Neither number independently provides median survival, absolute risk, individual prognosis, or a complete clinical assessment of the treatment strategy.

This distinction is particularly important for registry-based statistical education. A complete analysis should report what is actually available, identify the appropriate statistical framework, and resist filling missing quantities with estimates taken from memory or from unrelated sources.

23. Limitations of the Statistical Evidence

Incomplete survival summaries

No median PFS, event counts, or time-specific Kaplan-Meier estimates are included in the ClinicalTrials.gov record.

Incomplete response summaries

The Fisher exact analysis provides P = 1.000 but not the underlying response counts or effect estimate.

Third-arm interpretation

The primary statistical analysis registry-reported is a 2-arm comparison even though the randomized trial contains 3 arms.

Model details

Stratified analysis is identified, but complete stratification and Cox-model details are not reported.

These limitations do not make the reported analysis unusable. They define what can be concluded from the registry information without importing additional numerical results.

24. Why This Trial Is a Useful Statistical Case Study

PACE provides a compact example of how a clinical trial can require multiple statistical tools because its endpoints have different structures. The primary PFS endpoint requires survival-analysis methods, while the response endpoint uses a categorical-data method.

Statistical lessonPACE example
Match the method to the endpointPFS uses log-rank testing; overall response uses Fisher exact testing.
Separate effect size from hypothesis testingHR 1.11 and P = 0.62 answer different statistical questions.
Report uncertaintyThe PFS HR includes a two-sided 90% CI of 0.79–1.55.
Respect test directionThe primary PFS hypothesis is specified as a one-sided superiority test.
Understand censoringPFS censors participants alive without progression at their last disease assessment.
Distinguish randomized arms from posted comparisonsThe trial has 3 arms, while the registry-reported primary analysis compares 2 of them.
Avoid unsupported reconstructionMissing median PFS, response estimates, and subgroup results are not inferred.

25. Related Tutorials

Learn more about the methods used in this trial:

26. Related Statistical Calculators

27. Sources

Continue with the underlying statistical methods

PACE connects directly to core clinical-trial concepts including survival analysis, hazard ratios, log-rank testing, confidence intervals, one-sided hypothesis testing, and Fisher exact testing.

28. Record Summary

PACE is a randomized phase 2, parallel, open-label trial with 220 participants and 3 registered treatment arms. The registry-reported primary analysis evaluates progression-free survival between fulvestrant and fulvestrant with palbociclib using a log-rank test under a one-sided superiority framework with alpha 0.05. The corresponding hazard ratio, defined as fulvestrant with palbociclib divided by fulvestrant, is 1.11, with a two-sided 90% confidence interval of 0.79–1.55 and a reported P = 0.62.

The secondary overall-response analysis uses an unstratified Fisher exact test and reports P = 1.000, without supplying the underlying response counts or effect estimate in the ClinicalTrials.gov record. Serious adverse events are reported for all 3 arms as affected participants over participants at risk: 1/53 for fulvestrant, 46/110 for fulvestrant with palbociclib, and 37/53 for fulvestrant with palbociclib and avelumab.

The main statistical lesson is methodological: PFS requires a time-to-event framework that accounts for event timing and censoring, whereas overall response is a binary endpoint analyzed with Fisher's exact test. The hazard ratio, confidence interval, and p-value should be interpreted as complementary pieces of evidence rather than interchangeable measures of treatment effect.

Clinical Biostats methodology: A trial-results page should distinguish the numerical evidence actually reported by the registry from statistical explanation. Where the ClinicalTrials.gov record does not provide a median, subgroup estimate, event count, or model detail, the appropriate approach is to identify the missing information rather than reconstruct it from outside sources.