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Heart Failure Phase 3 Time-to-Event NCT02861534

VICTORIA: Complete Statistical Analysis of Vericiguat in Heart Failure With Reduced Ejection Fraction

An independent statistical review of the randomized phase 3 VICTORIA trial evaluating vericiguat versus placebo in participants with heart failure with reduced ejection fraction, with emphasis on the composite cardiovascular-death or heart-failure-hospitalization endpoint and its time-to-event analysis.

Trial status: COMPLETED  ·  Enrollment: 5050  ·  Primary analysis database cutoff: 18-June-2019
Scope of this record

This page separates reported trial results from statistical interpretation. Numerical results and trial characteristics are restricted to the ClinicalTrials.gov data posted on ClinicalTrials.gov for VICTORIA. The registry record is the official trial record.

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

1. Trial at a Glance

VICTORIA was a randomized, double-blind, parallel-group phase 3 trial evaluating vericiguat versus placebo in participants with heart failure and chronic heart failure with reduced ejection fraction. The registry reports 5050 enrolled participants, two study arms, one registered primary time-to-event endpoint, and eight posted statistical analyses.

5050
Enrolled
Total enrollment
2
Study arms
Parallel design
0.90
Primary HR
95% CI 0.82–0.98
0.019
Primary P-value
Superiority analysis
FeatureVICTORIA
Trial nameVICTORIA
Brief titleA Study of Vericiguat in Participants With Heart Failure With Reduced Ejection Fraction (HFrEF) (MK-1242-001)
PhasePhase 3
StatusCOMPLETED
Therapeutic areaCardiology
ConditionsHeart Failure; Chronic Heart Failure With Reduced Ejection Fraction
AllocationRandomized
Design modelParallel
MaskingDouble
Primary purposeTreatment
Enrollment5050
InterventionsVericiguat; placebo for vericiguat
Lead sponsorMerck Sharp & Dohme LLC
Sponsor typeIndustry
ClinicalTrials.govNCT02861534

2. Clinical Question

The primary statistical question was whether the time to first occurrence of the composite endpoint of cardiovascular death or heart failure hospitalization differed between participants randomized to vericiguat and those randomized to placebo.

Population

Participants with heart failure and chronic heart failure with reduced ejection fraction, as described in the registered trial condition and brief title.

Intervention

Vericiguat.

Comparator

Placebo for vericiguat.

Primary question

Does vericiguat change the time to first cardiovascular death or heart failure hospitalization relative to placebo?

3. Trial Design

01
Randomize5050 enrolled
02
Parallel armsVericiguat vs placebo
03
Double blindMasked treatment assignment
04
Follow-upTime-to-event outcomes
05
AnalysisPrimary cutoff 18-June-2019
Allocation
Randomized. Randomization is the central design feature supporting a comparative treatment-effect interpretation.
Masking
Double. The registry identifies the trial as double-masked.
Structure
Parallel. Participants were evaluated in two treatment groups rather than repeatedly crossing between treatment conditions.
Purpose
Treatment. The registered primary purpose was treatment.
ARM 1

Vericiguat

  • Intervention: vericiguat
  • Drug intervention
  • Compared with placebo for vericiguat
ARM 2

Placebo

  • Intervention: placebo for vericiguat
  • Drug intervention
  • Comparator for the vericiguat group

4. Trial Timing and Analysis Cutoff

20-September-2016

Trial start

The registry lists 20-September-2016 as the trial start date.

18-June-2019

Primary completion

The registry lists 18-June-2019 as the primary completion date and uses the same date as the primary analysis database cutoff.

Primary analysis

Approximately 33 months

The registered primary endpoint and the posted statistical analyses use a time frame of up to approximately 33 months through the 18-June-2019 primary analysis database cutoff.

5. Primary Endpoint

EndpointRegistered definition / time framePosted analysis
Time to First Occurrence of Composite Endpoint of Cardiovascular (CV) Death or Heart Failure (HF) Hospitalization Time to first occurrence of the composite endpoint of CV death or HF hospitalization; up to approximately 33 months, through the primary analysis database cutoff date of 18-June-2019. All randomized participants; vericiguat vs placebo; Cox proportional hazard model; hazard ratio.

The registry's primary-endpoint definition states that the endpoint was analyzed using a one-sided stratified log-rank test. It also states that randomized participants without an HF hospitalization or CV death event at the time of analysis were censored according to the available follow-up information or the primary analysis database cutoff. The posted statistical-analysis record separately reports the Cox proportional-hazards model used for the hazard-ratio estimate.

Two related statistical roles: the log-rank test and the Cox model answer related but distinct questions. The stratified log-rank test provides the formal time-to-event comparison described in the registered endpoint definition, while the Cox proportional-hazards model provides the reported relative effect measure, the hazard ratio.

6. Primary Result

Time to First Cardiovascular Death or Heart Failure Hospitalization

Hazard ratio: vericiguat vs placebo

0.90

95% CI: 0.82–0.98   ·   P = 0.019

Analysis population: all randomized participants  ·  Hypothesis type: superiority

EndpointVericiguat vs placebo95% CIP-valueAnalysis
Time to first CV death or HF hospitalization HR 0.90 0.82–0.98 0.019 Cox proportional-hazards model
Clinical Biostats interpretation

What the estimate means: an HR of 0.90 means that, under the fitted Cox model, the estimated instantaneous rate of experiencing the composite event was approximately 10% lower with vericiguat than with placebo over the analyzed follow-up.

What it does not mean: it does not mean that exactly 10% fewer participants experienced the endpoint, that every participant had a 10% reduction in risk, or that the absolute probability of an event was reduced by 10 percentage points. A hazard ratio is a relative, model-based time-to-event measure.

Precision: the 95% CI of 0.82–0.98 describes uncertainty around the estimated hazard ratio under the analysis framework. The interval is relatively narrow compared with the estimate itself, but it still represents statistical uncertainty rather than a range of effects that must occur in individual patients.

The p-value: P = 0.019 is evidence against the null hypothesis under the specified testing framework. It does not measure the size of the treatment effect. Effect size is communicated by the HR, while precision is communicated by the confidence interval.

Important time-to-event cautions: the Cox interpretation depends on the proportional-hazards framework. The registry also describes censoring of participants who had not experienced the composite event at the time of analysis. Censoring assumptions therefore matter to interpretation. In addition, the registry identifies the formal primary endpoint analysis as a one-sided stratified log-rank test, whereas the posted estimate is from a Cox proportional-hazards model; these should not be treated as interchangeable statistical procedures.

7. Secondary Endpoint Results

The registry posts seven additional statistical analyses. Six are time-to-event analyses and one is a binary safety-related endpoint. The time-to-event analyses generally use hazard ratios from Cox proportional-hazards models, while the two binary safety endpoints use risk differences estimated with the Miettinen & Nurminen method.

Secondary endpointEffect measureEstimate95% CIP-value
Time to the First Occurrence of CV Death Hazard ratio 0.93 0.81–1.06 0.269
Time to the First Occurrence of HF Hospitalization Hazard ratio 0.90 0.81–1.00 0.048
Time to Total HF Hospitalizations (Including First and Recurrent Events) Hazard ratio 0.91 0.84–0.99 0.023
Time to First Occurrence of Composite Endpoint of All-Cause Mortality or HF Hospitalization Hazard ratio 0.90 0.83–0.98 0.021
Time to All-Cause Mortality Hazard ratio 0.95 0.84–1.07 0.377
Percentage of Participants Who Experienced Symptomatic Hypotension Risk difference 1.2 -0.3–2.8 0.121
Percentage of Participants Who Experienced Syncope Risk difference 0.6 -0.5–1.6 0.303

Cardiovascular Death

Secondary time-to-event analysis
HR = 0.93    95% CI = 0.81–1.06    P = 0.269

The estimate is below 1, but the reported 95% confidence interval extends from below 1 to above 1. The registry identifies this as a superiority analysis using a Cox proportional-hazards model in all randomized participants.

Heart Failure Hospitalization

Secondary time-to-event analysis
HR = 0.90    95% CI = 0.81–1.00    P = 0.048

The hazard-ratio estimate corresponds to an approximately 10% lower estimated instantaneous rate of first HF hospitalization under the Cox model. The upper confidence limit reaches 1.00, illustrating why the estimate should be read together with its interval rather than from the point estimate alone.

Total Heart Failure Hospitalizations

Recurrent-event analysis
HR = 0.91    95% CI = 0.84–0.99    P = 0.023

Unlike a simple time-to-first-event endpoint, this analysis concerns total HF hospitalizations, including first and recurrent events. The registry reports an Andersen-Gill model rather than a standard Cox proportional-hazards model for this endpoint.

All-Cause Mortality or Heart Failure Hospitalization

Secondary composite time-to-event analysis
HR = 0.90    95% CI = 0.83–0.98    P = 0.021

This composite uses all-cause mortality rather than cardiovascular mortality in combination with HF hospitalization. The registry reports a Cox proportional-hazards model in all randomized participants.

All-Cause Mortality

Secondary mortality analysis
HR = 0.95    95% CI = 0.84–1.07    P = 0.377

The point estimate is below 1, but the confidence interval spans 1.00. The reported p-value is 0.377. This illustrates why a point estimate below 1 should not by itself be described as evidence of a statistically established treatment effect.

Symptomatic Hypotension

Binary endpoint
Risk difference = 1.2 percentage points    95% CI = -0.3 to 2.8    P = 0.121

The analysis population was all randomized participants who received at least one dose of study treatment. The registry reports the Miettinen & Nurminen method for this percentage comparison.

Syncope

Binary endpoint
Risk difference = 0.6 percentage points    95% CI = -0.5 to 1.6    P = 0.303

The analysis population was all randomized participants who received at least one dose of study treatment. The reported method was the Miettinen & Nurminen method.

Multiplicity: the ClinicalTrials.gov record identifies the primary hypothesis as superiority and report multiple secondary analyses, but they do not provide an alpha-allocation or multiplicity-adjustment scheme for the posted secondary endpoints. The individual p-values should therefore be interpreted as the values reported for those analyses, not automatically as a familywise-error-controlled collection of independent confirmatory tests.

8. Understanding the Primary Hazard Ratio

The primary HR of 0.90 is a useful example of why clinical-trial interpretation should separate relative effect, precision, and statistical evidence.

Relative effect

HR 0.90 corresponds to a 10% lower estimated instantaneous event rate under the fitted Cox model, because 1 − 0.90 = 0.10.

Precision

The 95% CI of 0.82–0.98 shows the uncertainty surrounding the estimated hazard ratio under the reported analysis.

Statistical evidence

The reported P = 0.019 quantifies evidence under the specified hypothesis-testing framework; it is not a measure of clinical magnitude.

Absolute effects

The hazard ratio does not provide an absolute event probability or an absolute risk difference. Those require the underlying event-time distribution or corresponding absolute-risk estimates.

Why HR 0.90 is not the same as "10% fewer events"

A hazard ratio describes the relative instantaneous event rate within a time-to-event model. It is therefore different from comparing the proportion of participants who eventually experience an event. The distinction becomes particularly important when follow-up times differ, censoring occurs, or the event rate changes over time.

Why the confidence interval matters

The interval 0.82–0.98 provides information about statistical precision that the point estimate alone cannot provide. A point estimate of 0.90 could be interpreted very differently if its confidence interval were extremely wide. Here, the ClinicalTrials.gov record gives a specific two-sided 95% interval that remains below 1.00.

Why the p-value is not an effect-size measure

P = 0.019 does not say that the probability of benefit is 98.1%, nor does it say that the treatment effect is 1.9%. The p-value is a statement about the compatibility of the observed result with a null hypothesis under the specified statistical framework.

9. Statistical Methodology

Cox Proportional-Hazards Model

The registry reports a Cox proportional-hazards model for the primary endpoint and for several secondary time-to-event endpoints. The model estimates a relative hazard associated with treatment while using event times and censoring information rather than reducing follow-up to a simple yes/no event indicator.

Core Cox model
h(t | X) = h0(t) exp(βX)

For a binary treatment indicator, exp(β) is interpreted as the hazard ratio comparing the treatment groups under the proportional-hazards model.

Stratified Log-Rank Test

The registered primary endpoint definition states that the composite endpoint was analyzed using a one-sided stratified log-rank test. A log-rank test compares observed and expected event patterns between treatment groups across follow-up, while stratification allows the comparison to account for prespecified strata.

The ClinicalTrials.gov record does not identify the variables used for stratification. They therefore should not be inferred from external sources or from the mere fact that the registry describes the test as stratified.

Kaplan-Meier Estimation

The VICTORIA primary endpoint is a time-to-event outcome. Kaplan-Meier estimation is the standard nonparametric framework for describing the event-time distribution in the presence of right censoring.

Conceptual form
S(t) = ∏ti ≤ t (1 − di/ni)

Here, di is the number of events at time ti, and ni is the number at risk immediately before that time.

Andersen-Gill Model for Recurrent Hospitalizations

Total HF hospitalizations, including first and recurrent events, were analyzed using an Andersen-Gill model. This is an important methodological distinction: a recurrent-event endpoint cannot always be adequately represented by simply analyzing the time to the first hospitalization.

By retaining recurrent events, the analysis addresses the occurrence of multiple hospitalization events rather than discarding later events after the first one. The registry reports the effect measure as a hazard ratio with estimate 0.91 and a 95% CI of 0.84–0.99.

Miettinen & Nurminen Method

The symptomatic-hypotension and syncope endpoints are binary outcomes expressed as percentages of participants. The registry reports the Miettinen & Nurminen method for the difference in percentages.

Risk-difference interpretation
RD = pvericiguat − pplacebo

A positive risk difference means the percentage experiencing the event was higher in the vericiguat group; a negative value means it was lower. The reported confidence intervals quantify uncertainty around that difference.

Analysis Populations

The primary and time-to-event efficacy analyses in the ClinicalTrials.gov record uses all randomized participants. The symptomatic-hypotension and syncope analyses use all randomized participants who received at least 1 dose of study treatment.

Endpoint categoryAnalysis populationStatistical method
Primary composite time-to-event endpoint All randomized participants One-sided stratified log-rank test for the registered endpoint; Cox proportional-hazards model for the posted HR
Secondary time-to-event endpoints All randomized participants Cox proportional-hazards model, except total HF hospitalizations, which used an Andersen-Gill model
Symptomatic hypotension All randomized participants who received at least 1 dose Miettinen & Nurminen method
Syncope All randomized participants who received at least 1 dose Miettinen & Nurminen method

10. Statistical Methods Explained

Why was a Cox proportional-hazards model used?

The primary endpoint is defined by time to first occurrence of cardiovascular death or HF hospitalization. A Cox model is designed for this setting because it uses both event timing and censoring information and expresses the treatment comparison as a hazard ratio.

What does an HR of 0.90 mean?

It means that the estimated instantaneous event rate under the fitted model was 0.90 times that of the comparator, or approximately 10% lower. It does not mean that 10% of participants avoided the endpoint or that the absolute probability was reduced by 10 percentage points.

Why is the confidence interval important?

The estimate 0.90 is only one point on the range of values compatible with the statistical uncertainty represented by the analysis. The 95% CI of 0.82–0.98 shows the precision of the reported HR and should be interpreted together with the point estimate.

Why is the primary endpoint described with both a log-rank test and a Cox model?

The registry identifies a one-sided stratified log-rank test as the analysis of the registered primary endpoint, while the posted statistical analysis reports the Cox proportional-hazards model as the method used to generate the HR. The test and the model therefore play related but distinct roles in the statistical presentation.

Why is total HF hospitalization analyzed differently from first HF hospitalization?

A time-to-first-event analysis stops counting once the first hospitalization occurs. The total-hospitalization endpoint explicitly includes first and recurrent events, so the registry reports an Andersen-Gill model designed for recurrent-event data.

What does a risk difference of 1.2 mean?

For symptomatic hypotension, the reported effect measure is a difference in percentages. An estimate of 1.2 means a 1.2-percentage-point difference between the treatment groups under the registry's direction of comparison. It is not a hazard ratio and should not be interpreted as a relative 1.2% increase.

Why should the secondary p-values be interpreted cautiously?

The ClinicalTrials.gov record reports several secondary hypothesis tests but do not specify an overall multiplicity-adjustment scheme. Without that information, a reader should distinguish the reported nominal p-values from a claim that the entire set of secondary comparisons is familywise-error controlled.

11. Primary Endpoint and Censoring

The registry's definition specifies that randomized participants without an HF hospitalization or CV death event at the time of analysis were censored at their last available information, the date of their non-CV death, or the primary analysis database cutoff date of 18-June-2019, whichever occurred according to the registry's stated censoring rule.

Event

The first occurrence of either cardiovascular death or HF hospitalization constitutes the composite endpoint event.

Censoring

Participants without a qualifying event at analysis contribute follow-up until their applicable censoring time.

Composite endpoint

The first qualifying component event determines the time to the composite endpoint.

Analysis cutoff

The primary analysis database cutoff was 18-June-2019, with the registered time frame extending up to approximately 33 months.

Censoring is part of the statistical analysis, not simply missing data. A censored participant is not treated as having experienced the event. Instead, the analysis uses the information available up to the censoring time. The validity of the resulting time-to-event estimate therefore depends on assumptions concerning the censoring mechanism and follow-up information.

12. Safety Results

The ClinicalTrials.gov record reports serious adverse events by treatment arm. The registry summary gives the number affected and the number at risk for each arm.

Safety measureVericiguatPlacebo
Serious adverse events 852 / 2519 897 / 2515
Serious adverse events: affected participants
Vericiguat
852
Placebo
897

The denominators shown above are the registry-reported numbers at risk for this safety summary. The ClinicalTrials.gov record does not provide a formal statistical comparison, confidence interval, or p-value for serious adverse events, so this page does not create one.

Why safety is presented separately: efficacy and safety use different estimands and, in this registry record, different analysis populations for some endpoints. A time-to-event hazard ratio for the primary endpoint should not be combined with serious-adverse-event counts to create an overall numerical benefit-risk score.

13. Statistical Interpretation of the Secondary Results

FindingStatistical reading
CV death: HR 0.93 The estimated hazard is below 1, but the 95% CI of 0.81–1.06 spans 1.00 and the reported P-value is 0.269.
First HF hospitalization: HR 0.90 The estimated hazard is approximately 10% lower under the model; the 95% CI is 0.81–1.00 and P = 0.048.
Total HF hospitalizations: HR 0.91 The recurrent-event analysis gives an estimated HR of 0.91 with 95% CI 0.84–0.99 and P = 0.023.
All-cause mortality or HF hospitalization: HR 0.90 The estimated hazard is approximately 10% lower under the model, with 95% CI 0.83–0.98 and P = 0.021.
All-cause mortality: HR 0.95 The point estimate is below 1, while the 95% CI of 0.84–1.07 spans 1.00 and P = 0.377.
Symptomatic hypotension: RD 1.2 The estimated percentage difference is 1.2 percentage points, with 95% CI -0.3 to 2.8 and P = 0.121.
Syncope: RD 0.6 The estimated percentage difference is 0.6 percentage points, with 95% CI -0.5 to 1.6 and P = 0.303.

A useful statistical distinction emerges from these results: point estimates below 1 are not equivalent to statistically established differences. For example, both CV death and all-cause mortality have HR estimates below 1, but their confidence intervals include 1.00 and their reported p-values are 0.269 and 0.377, respectively.

14. What the Primary Result Does — and Does Not — Establish

What the primary result establishes statistically

The registry reports a superiority analysis for the primary composite time-to-event endpoint, with a Cox-model HR of 0.90, a two-sided 95% CI of 0.82–0.98, and P = 0.019. The registered endpoint definition identifies a one-sided stratified log-rank test as the formal endpoint analysis.

What the primary result does not establish

The HR does not specify the absolute number of cardiovascular deaths or HF hospitalizations prevented, the absolute probability of experiencing the composite event, or the treatment effect for every individual participant.

Why the composite matters

The primary endpoint combines cardiovascular death and HF hospitalization. A composite endpoint can increase the number of observed events and improve statistical efficiency, but its interpretation depends on understanding that its components are being treated as a single time-to-first-event outcome.

Why secondary endpoints should not simply replace the primary endpoint

The registry identifies one primary endpoint and multiple secondary endpoints. Secondary results provide additional information about specific components and related outcomes, but their statistical role is different from that of the prespecified primary endpoint.

15. Hypothesis Testing and P-values

The ClinicalTrials.gov record identifies the primary hypothesis type as superiority. This means the statistical objective was to test whether the treatment groups differed in the specified primary time-to-event endpoint rather than to establish non-inferiority against a prespecified margin.

Primary reported evidence
HR = 0.90    95% CI = 0.82–0.98    P = 0.019

The p-value and confidence interval answer related but different questions. The p-value concerns evidence against the null under the testing framework; the confidence interval describes the uncertainty around the estimated effect.

The registry describes the primary endpoint as using a one-sided stratified log-rank test, while the posted Cox-model confidence interval is explicitly two-sided 95%. These conventions should be retained as reported rather than silently converting one testing framework into another.

16. Missing Data, Imputation, and Other Design Features

The ClinicalTrials.gov record provides specific information about censoring for the primary time-to-event endpoint, but they do not report a separate missing-data or imputation strategy for the posted statistical analyses.

Design topicWhat the ClinicalTrials.gov record supports
Non-inferiority marginNot reported in the ClinicalTrials.gov record; the primary hypothesis is identified as superiority.
CrossoverNot reported in the ClinicalTrials.gov record.
Factorial designNot reported; the design model is parallel with two arms.
Multiplicity adjustmentNo alpha-allocation or multiplicity-adjustment scheme is reported in the ClinicalTrials.gov record.
Interim analysisNot reported in the ClinicalTrials.gov record.
Missing-data imputationNo imputation method is reported in the ClinicalTrials.gov record.
Stratification variablesThe primary endpoint is described as using a stratified log-rank test, but the ClinicalTrials.gov record does not identify the stratification variables.
Bayesian methodsNo Bayesian method is reported.
Why omissions matter: absence of a detail from the ClinicalTrials.gov record is not evidence that the underlying protocol or statistical analysis plan lacked that feature. It means only that the ClinicalTrials.gov record does not provide enough information to describe it responsibly here.

17. Why the Analysis Population Matters

The registry specifies all randomized participants for the primary and most secondary time-to-event analyses. This aligns the main efficacy comparison with treatment assignment rather than restricting the analysis to participants who remained on treatment.

Randomized analysis

All randomized participants form the analysis population for the primary endpoint and the reported time-to-event secondary endpoints.

Safety-related binary endpoints

Symptomatic hypotension and syncope use randomized participants who received at least one dose of study treatment.

Why the distinction matters

Changing the analysis population can change the estimand. Results from treated participants should not automatically be described as if they were identical to results based on randomization.

Causal interpretation

Randomization provides the foundation for the treatment-group comparison, while subsequent follow-up and censoring determine how much time-to-event information is available for analysis.

18. Time-to-Event Endpoints: A Statistical Walkthrough

VICTORIA is particularly useful for teaching survival analysis because its primary endpoint is not simply whether an event occurred. The analysis incorporates when the event occurred and how long participants remained under observation without experiencing the event.

StepStatistical questionVICTORIA application
1. Define time origin When does follow-up begin? The endpoint is described as time to first occurrence following randomization.
2. Define event What counts as the endpoint? First CV death or HF hospitalization.
3. Follow participants How much event-time information is observed? Up to approximately 33 months through the 18-June-2019 cutoff.
4. Handle censoring What happens when no qualifying event is observed? Participants are censored according to the registry's stated follow-up/cutoff rules.
5. Compare groups Do event-time distributions differ? The registered primary analysis uses a one-sided stratified log-rank test.
6. Quantify relative effect How large is the modeled treatment difference? The posted Cox analysis reports HR 0.90 with 95% CI 0.82–0.98.

19. Limitations

20. Why This Trial Matters Statistically

VICTORIA provides a compact teaching example of several core clinical-trial statistical concepts. The same trial record moves from a randomized treatment comparison to a composite time-to-event endpoint, a formal stratified log-rank test, a Cox hazard ratio, recurrent-event modeling, and score-based confidence intervals for binary outcomes.

ConceptHow it appears in VICTORIA
RandomizationThe trial uses randomized allocation with two parallel arms.
BlindingThe registry identifies the study as double-masked.
Time-to-event endpointThe primary endpoint measures time to first CV death or HF hospitalization.
Stratified log-rank testThe registered primary endpoint definition specifies a one-sided stratified log-rank test.
Cox modelThe posted primary analysis reports a Cox proportional-hazards model and HR 0.90.
Hazard ratioThe primary HR is 0.90 with a two-sided 95% CI of 0.82–0.98.
Confidence intervalThe 95% CI communicates uncertainty around the estimated HR.
P-valueThe primary reported p-value is 0.019.
Composite endpointCV death and HF hospitalization form the registered primary composite endpoint.
Recurrent-event analysisTotal HF hospitalizations are analyzed using an Andersen-Gill model.
Risk differenceSymptomatic hypotension and syncope use differences in percentages.
Miettinen & Nurminen methodThe binary endpoints use this score-based method for the reported percentage differences.
Safety analysisSerious adverse events are reported by treatment arm with affected and at-risk counts.

21. Statistical Concepts in This Trial

Learn more about the methods used in this trial:

22. Related Statistical Calculators

23. Sources

Continue through the Clinical Biostats statistical library

Explore the statistical methods behind randomized trials, survival analysis, confidence intervals, and clinical-trial endpoints.

24. Record Summary

VICTORIA is a useful statistical case study because the registry combines a randomized, double-masked, parallel-group phase 3 design with a primary composite time-to-event endpoint. The primary result is reported as a Cox-model hazard ratio of 0.90 with a two-sided 95% CI of 0.82–0.98 and P = 0.019, while the registered endpoint definition identifies a one-sided stratified log-rank test as the primary endpoint analysis. The same record illustrates why different endpoint structures require different statistical tools: Cox models for several time-to-event outcomes, an Andersen-Gill model for recurrent HF hospitalizations, and the Miettinen & Nurminen method for binary percentage differences.

Clinical Biostats methodology: The most useful trial-results analysis does more than reproduce a reported hazard ratio. It identifies the estimand, analysis population, endpoint structure, censoring framework, effect measure, confidence interval, p-value, and statistical assumptions, while distinguishing documented trial facts from educational interpretation.