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Uremic Pruritus Phase 3 Binary Endpoint NCT03422653

A Study to Evaluate the Safety and Efficacy of CR845 in Hemodialysis Patients With Moderate-to-Severe Pruritus (KALM-1): Complete Statistical Analysis

This analysis examines the randomized, double-blind comparison of intravenous CR845 and placebo for moderate-to-severe pruritus in people receiving hemodialysis. It focuses on the Week 12 itch-intensity endpoint, its uncertainty, the registry’s secondary and safety results, and planning illustrations based on the observed effect.

Trial start: 2018-02-20  ·  Enrollment: 378  ·  Sponsor: Cara Therapeutics, Inc.
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 A Study to Evaluate the Safety and Efficacy of CR845 in Hemodialysis Patients With Moderate-to-Severe Pruritus (KALM-1) (NCT03422653), a randomized phase 3 study. The primary outcome is Reduction of Itch Intensity as Assessed by the Percentage of Patients Achieving an Improvement From Baseline ≥3 Points With Respect to the Weekly Mean of the Daily 24-hour Worst Itching Intensity Numerical Rating Scale (NRS) Score at Week 12.

378
Enrollment
Phase 3
2
Arms
In the primary outcome
+23.3 pts
Risk difference
CR845 0.5mcg/kg
13.7 to 32.8 pts
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT03422653
PhasePhase 3
ConditionUremic Pruritus
AllocationRandomized
Design modelParallel
MaskingDouble
Enrollment378
Arms in the primary outcome2
Lead sponsorCara Therapeutics, Inc.
Results postedYes

2. Clinical Question

Population

People receiving hemodialysis who had moderate-to-severe pruritus. The registry record identifies uremic pruritus as the condition. Further eligibility details, such as age criteria or other clinical requirements, are not reported in the registry record.

Intervention

Intravenous CR845 at 0.5 mcg/kg, administered after each dialysis session. In the double-blind phase, administration was described as three times per week.

Comparator

Intravenous placebo administered after each dialysis session, also described as three times per week during the double-blind phase. The randomized comparison was parallel-group and double-blind.

Primary question

At Week 12, what percentage in each group achieved an improvement from baseline of at least 3 points in the weekly mean of daily ratings of the worst itching over the previous 24 hours? The endpoint records the proportion meeting that threshold, rather than the average change in itch score.

The study tested this question during a 12-week double-blind phase, with a 52-week open-label extension also included in the study. The primary endpoint was a threshold-based measure: a participant counted as meeting it if the specified improvement criterion was reached. Such an endpoint can be easier to interpret as a proportion reaching a defined level of change, but it does not describe the full range of score changes among participants. The posted results report 51.0% for CR845 and 27.6% for placebo, each with a 95% confidence interval. These percentages describe the registered endpoint at Week 12; they do not by themselves explain why any individual participant’s score changed. Details of the eligibility criteria beyond the stated hemodialysis and pruritus population are not reported in the registry record.

3. Trial Design

This was a multicenter, randomized, double-blind, placebo-controlled, parallel-group Phase 3 study. The registry record reports enrollment of 378. Participants were assigned to intravenous CR845 at 0.5 mcg/kg or intravenous placebo, administered after each dialysis session. The double-blind phase lasted 12 weeks, and the study also included a 52-week open-label extension. In that extension, the intervention listed was CR845 0.5 mcg/kg. The registry record does not provide further detail about how participants entered or continued in the extension.

The primary outcome was assessed at Week 12. It was the percentage of participants achieving an improvement from baseline of at least 3 points in the weekly mean of daily 24-hour worst-itching intensity NRS scores. The NRS ranges from 0, no itching, to 10, worst itching imaginable. Secondary outcomes included itch-related quality-of-life measures using the 5-D Itch Scale and Skindex-10, as well as a more stringent itch-intensity improvement threshold. Results are posted for the latter threshold; results for the quality-of-life outcomes are not reported in the registry record.

The registry record lists the study as completed and gives a start date of 2018-02-20 and a primary completion date of 2019-04-06. It identifies Cara Therapeutics, Inc. as the sponsor. The primary endpoint description says that estimated percentages, odds ratios, and p-values used a logistic regression model. The registry also reports a sponsor analysis using the Cui, Hung, Wang method for an odds ratio. Details such as the trial’s original sample-size justification, the full statistical analysis plan, the handling of missing primary outcome values, and any interim analyses are not reported in the registry record. The listed enrollment and outcome denominators should therefore be read as registry entries, not as a substitute for fuller participant-flow information.

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: The study includes a Double-blind Phase, an Open-label Extension Phase, and a Follow-up Period. Patients who received at least 30 doses of study drug (either active or placebo) during the 12-week Double-blind Treatment Period and continue to meet other eligibility criteria will be eligible to receive open-label CR845 for an additional 52 weeks.

Period 1: Double-blind Phase

StageDouble-blind CR845 0.5mcg/kgDouble-blind PlaceboOpen-label CR845 0.5 mcg/kg
STARTED1891890
COMPLETED1621700
NOT COMPLETED27190

Period 2: Open-label Phase

StageDouble-blind CR845 0.5mcg/kgDouble-blind PlaceboOpen-label CR845 0.5 mcg/kg
STARTED00313
COMPLETED00189
NOT COMPLETED00124

Analysis population for the primary outcome, as defined in the registry: Data include one patient who had been randomly assigned to the placebo group and who withdrew from the trial before receiving the first dose of placebo.

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.

CharacteristicUnitDouble-blind CR845 0.5mcg/kgDouble-blind PlaceboTotal
Participants analysed189189378
Age, Continuousyears58.2 (SD 11.16)56.7 (SD 13.89)57.5 (SD 12.6)
Sex: Female, Male: FemaleParticipants7770147
Sex: Female, Male: MaleParticipants112119231
Race (NIH/OMB): American Indian or Alaska NativeParticipants6511
Race (NIH/OMB): AsianParticipants6713
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants246
Race (NIH/OMB): Black or African AmericanParticipants8276158
Race (NIH/OMB): WhiteParticipants9193184
Race (NIH/OMB): More than one raceParticipants123
Race (NIH/OMB): Unknown or Not ReportedParticipants123

6. Primary Endpoint

The registry lists the primary outcome as Reduction of Itch Intensity as Assessed by the Percentage of Patients Achieving an Improvement From Baseline ≥3 Points With Respect to the Weekly Mean of the Daily 24-hour Worst Itching Intensity Numerical Rating Scale (NRS) Score at Week 12, measured over Week 12.

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

The primary endpoint measures whether participants reached a prespecified degree of improvement in itch intensity by Week 12. It uses the weekly mean of daily ratings of the worst itching experienced over the preceding 24 hours. Participants whose score improved from baseline by at least 3 points were counted as achieving the endpoint; the result is expressed as a percentage of participants. The scale runs from 0, indicating no itching, to 10, indicating the worst itching imaginable.

A threshold endpoint answers a different question from a comparison of average score change. It describes the proportion meeting a defined improvement criterion, while not showing how far beyond that threshold participants improved or how scores changed among those who did not reach it. In general, a threshold can make a result more directly interpretable as the frequency of a specified response. Its meaning depends on the threshold and measurement schedule, so the result should be read as applying to this particular 3-point criterion, weekly averaging approach, and Week 12 assessment.

The registry says estimated percentages, odds ratios, and p-values used a logistic regression model. The posted outcome is therefore a binary response: meeting or not meeting the improvement threshold. The endpoint is not a measure of all symptoms, quality of life, or longer-term change. Those outcomes require their own measurements and analyses.

7. Results Posted in the Registry

Risk difference: CR845 0.5mcg/kg

+23.3

95% CI: 13.7 to 32.8 percentage points

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals18.026.735.444.152.861.5CR845 0.5mcg/kg (n=189)Placebo (n=189)% of participants (95% CI)
Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)CR845 0.5mcg/kg-2.634.9913202835risk difference (percentage points) vs control (95% CI)

8. Secondary Efficacy Endpoints

The registry also posts results for secondary outcomes. For each outcome below, the endpoint type, the test applied to the posted summary statistics, the result and its interpretation are given in turn. Secondary endpoints are usually not adjusted for multiple testing, so they support rather than confirm the primary finding.

Secondary outcomeTypeEffect measureEstimate (95% CI)Planning size, 80% power
Reduction of Itch Intensity as Assessed by the Percentage of Patients Achieving an Improvement From Baseline ≥4 Points With Respect to the Weekly Mean of the Daily 24-hour Worst Itching Intensity NRS Score at Week 12Binary EndpointRisk difference+21.2 pts (12.3 to 30.0)71 per arm

Reduction of Itch Intensity as Assessed by the Percentage of Patients Achieving an Improvement From Baseline ≥4 Points With Respect to the Weekly Mean of the Daily 24-hour Worst Itching Intensity NRS Score at Week 12

Treatment effect versus the control arm
Forest plot of risk difference (percentage points) vs control (95% CI)Double-blind CR845 0.5mcg/kg-2.404.5612182532risk difference (percentage points) vs control (95% CI)

The posted secondary results show a direction of group contrast consistent with the primary endpoint for the additional itch-intensity threshold: a larger proportion in the CR845 group met that response criterion than in the placebo group. The registry also lists itch-related quality-of-life outcomes based on the 5-D Itch Scale and Skindex-10, but their results are not reported in the registry record. The secondary evidence is therefore incomplete across the full set of listed outcomes.

The secondary itch-intensity result is related to, but not interchangeable with, the primary result. It uses a more demanding improvement threshold, so it asks how many participants reached a different level of change. The primary endpoint remains the principal result for the trial’s stated Week 12 question; secondary findings can add context but do not replace it. Differences in thresholds also mean that response percentages should not be interpreted as if they measured the same outcome.

The registry reports a sponsor odds-ratio analysis and an unadjusted recalculation for the posted secondary itch-intensity outcome. Its reported p-value is unadjusted. When multiple endpoints or comparisons are examined, the chance of observing at least one apparently strong result can increase. In general, multiplicity procedures are used to address that issue, but the registry record does not report a multiplicity adjustment or a plan for controlling it. Accordingly, unadjusted secondary results carry less confirmatory weight than a prespecified primary analysis with a clearly described testing strategy. The registry does not report enough information to determine how the secondary endpoints were prioritized or whether their analyses were prespecified.

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

9. Statistical Interpretation

Clinical Biostats interpretation

At Week 12, the registry reports that 51.0% of participants in the CR845 group and 27.6% in the placebo group achieved at least a 3-point improvement in the weekly mean worst-itching NRS score. The respective 95% confidence intervals are 42.9% to 58.9% and 20.2% to 36.6%. These figures describe the proportion meeting the endpoint in each group. The registry’s reported sponsor analysis gives an odds ratio of 2.72, with a 95% confidence interval from 1.72 to 4.30 and p < 0.001. The direction of the reported comparison favors a higher odds of meeting the threshold in the CR845 group than in the placebo group.

The unadjusted recalculation from the posted summary counts gives a risk difference of 0.233, with a 95% confidence interval from 0.137 to 0.328, and p < 0.001. This is a simple comparison of the observed proportions, not the sponsor’s logistic-regression analysis. It provides a different scale for describing the same binary outcome: a risk difference expresses an absolute difference in proportions, whereas an odds ratio compares odds. The registry record does not identify the recalculation as the trial’s prespecified primary analysis.

The group confidence intervals describe uncertainty around each group’s percentage, while the confidence interval for the comparison describes uncertainty around the difference on its own scale. The comparison interval does not include zero, and the reported p-value is below 0.001. In general, those features indicate that the observed group contrast is difficult to reconcile with a null comparison under the assumptions of the corresponding analysis. They do not establish that the estimated effect is exact, that every participant experienced the same change, or that the endpoint captures every aspect of pruritus.

The registry record notes that the primary outcome data include one participant randomly assigned to placebo who withdrew before receiving the first placebo dose. The posted arm summaries list 189 participants for each group, while the adverse-event risk set for the double-blind placebo group is 188. Those differences in recorded denominators emphasize that outcome and safety summaries may use different analysis populations. The registry record does not report the full missing-data procedure, participant flow, or the exact analysis-population definition beyond the endpoint note.

The result is limited to the Week 12 threshold outcome in this trial. It should not be read as a finding about the quality-of-life endpoints, because their results are not reported in the registry record. Nor does the double-blind comparison by itself establish what occurred throughout the open-label extension: extension outcomes are not posted in the primary endpoint summary. Statistical evidence for a group contrast is not a substitute for considering endpoint relevance, uncertainty, study conduct, and the separate safety information.

10. Statistical Methods Explained

The primary response is binary: each participant either met the specified improvement threshold or did not. A percentage summarizes how common that response was in each group. In general, binary outcomes are often analyzed with methods that model the probability of an event while accounting for the group assignment. The registry’s endpoint description states that estimated percentages, odds ratios, and p-values used logistic regression. It does not report the model’s covariates, any stratification factors, or enough detail to reconstruct the full fitted model from the registry record.

What does an odds ratio describe?

Odds are the probability of an event divided by the probability of no event. An odds ratio compares those odds between groups. An odds ratio of 1 corresponds to equal odds under the comparison being made; values above or below 1 indicate different odds, with direction depending on which group is the reference. The sponsor’s reported odds ratio is 2.72 for CR845 relative to placebo. This is a relative measure of odds, not a statement that the response percentage is multiplied by that amount. When an outcome is not rare, an odds ratio and a risk ratio can differ appreciably as measures, so they should not be used interchangeably.

The posted summary counts also allow an unadjusted recalculation of the absolute risk difference. That calculation uses the observed response proportions in the two groups and does not reproduce the logistic-regression model. Its result is a descriptive, unadjusted comparison derived from the posted summaries. The calculated risk difference and the sponsor’s odds ratio answer related but distinct questions, and they use different effect scales. The recalculation is not evidence that the sponsor used the same calculation as its primary analysis.

What is the role of a p-value?

A p-value describes how compatible the observed data are with a specified null hypothesis, under the assumptions of the analysis. In general, a small p-value indicates that data at least as discrepant as those observed would be relatively unusual if that null hypothesis and model assumptions held. It is not the probability that the null hypothesis is true, the probability that the result occurred by chance, or a measure of the size or importance of an effect. The registry reports p < 0.001 for the sponsor’s primary analysis and for the unadjusted recalculation. The p-value does not convey the range of plausible effect sizes; the confidence interval serves a different purpose.

Why do the analysis methods matter?

Different methods can yield estimates on different scales and can rely on different model assumptions. The endpoint description identifies logistic regression for estimated percentages, odds ratios, and p-values. The reported sponsor analysis identifies the Cui, Hung, Wang method and reports an odds ratio. The registry record does not provide full implementation details for either analysis, so the listed method names should not be taken as a complete specification of every modeling decision. The recalculated risk difference is explicitly unadjusted and based on posted summary statistics; it should not be mistaken for a model-adjusted treatment effect.

In general, confidence intervals combine an estimate with information about its sampling uncertainty under the analysis method. They do not account automatically for every possible source of uncertainty, such as missing outcomes, deviations from the analysis plan, or systematic measurement error. A narrow interval can indicate relatively greater precision on the scale being estimated, but precision is not the same as freedom from bias. Interpretation therefore depends both on the numerical interval and on what is known about the trial’s design and analysis.

Why can over-dispersion matter?

For some outcomes, the variability in observed data is greater than a simple statistical model expects. This is called over-dispersion. In general, a model that does not allow for extra variability can understate uncertainty and produce intervals that are too narrow or tests that appear more decisive than warranted. This concern is especially relevant to count or clustered data, where observations may vary more than a basic model assumes. The primary endpoint in this trial is binary, and the registry identifies logistic regression; it does not report over-dispersion diagnostics or describe an over-dispersion adjustment. There is therefore no registry basis for asserting that over-dispersion was present or that any particular correction was used.

The trial’s original statistical plan is not reported in the registry record. That includes details such as prespecified covariates, missing-data handling, analysis populations, multiplicity procedures, and any interim analyses. Those omissions limit how fully an outside reader can assess whether the posted analyses match the original plan. They do not erase the posted estimates, but they mean that the reported results should be interpreted alongside the limits of the available methodological description.

11. Confidence Intervals and Precision

The CR845 group’s primary endpoint percentage is 51.0%, with a 95% confidence interval from 42.9% to 58.9%. The placebo group’s percentage is 27.6%, with a 95% confidence interval from 20.2% to 36.6%. Each interval describes uncertainty around its group’s response percentage under the analysis used. The intervals are not guarantees that the true value lies inside them, nor do they describe variation in individual participants’ responses.

For the unadjusted risk difference, the estimate is 0.233 and the 95% confidence interval ranges from 0.137 to 0.328. This interval is on the risk-difference scale and describes uncertainty about the absolute group contrast calculated from the posted summaries. The sponsor’s odds-ratio estimate is 2.72, with a 95% confidence interval from 1.72 to 4.30. Because the risk difference and odds ratio are different measures, their numerical values and interval limits should not be compared as though they were on one scale.

In general, a confidence interval is a range generated by a statistical procedure that, over repeated use under its assumptions, would cover the target parameter at its stated confidence level at the corresponding frequency. It conveys both an estimate and its precision. The primary comparison intervals indicate uncertainty remains about the size of the group contrast, even though the interval for the risk difference is entirely above zero and the sponsor’s interval for the odds ratio is entirely above 1. Confidence intervals reflect sampling uncertainty under the analysis; they do not automatically incorporate uncertainty from missing information, model choice, or possible bias.

The registry does not provide enough detail to assess all sources of uncertainty in the primary analysis. In particular, missing-data methods and the full analysis population are not reported in the registry record. The intervals should therefore be read as statistical precision conditional on the reported analysis, not as a complete accounting of every limitation affecting the result.

12. Planning a Similar Trial: Sample Size

This is a planning illustration, not a re-evaluation of the original trial. It asks: if a new study wanted to detect a difference like the one observed, or a smaller one, how large would it need to be? It is deliberately not “observed power” of the finished trial, which is not a meaningful quantity.

Effect to detectParticipants per arm, 80% powerParticipants per arm, 90% power
100% of the observed effect6891
75% of the observed effect118158
50% of the observed effect257343
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect501002005001,00040%60%80%100%80% power90% powersize of effect to detect, as % of the effect observed (log vertical scale: participants per arm)
Method and assumptions. Two-sided α = 0.05, 1:1 allocation, pooled-variance normal approximation for two proportions. Counts were reconstructed from the posted percentages and arm sizes, so small rounding differences are possible. Calculated for the comparison: CR845 0.5mcg/kg.

The planning illustrations express the number of participants per arm for 80% power and the number of participants per arm for 90% power. They are not total event counts. The sample-size assumptions listed for these illustrations are a two-sided significance level of 0.05, equal allocation between two arms, and a normal approximation. The target effect is set to the stated fraction of the observed effect. The trial’s own original design assumptions and sample-size justification are not reported in the registry record.

In general, power is the probability that a planned statistical test will reject its null hypothesis under a specified effect and other assumptions. The 80% column means the illustration targets an 80% chance of detecting the assumed effect under those planning conditions; the 90% column uses a higher target chance. These are design calculations, not descriptions of what happened in this trial. The displayed scenarios use the observed effect as a reference and consider smaller fractions of it. As the assumed effect becomes smaller, more participants are needed to distinguish it from random variation at the same power target and significance level.

The figures are planning illustrations computed from the observed effect rather than the trial’s original design calculation. They do not establish that the study had a particular probability of success after the data were collected. This is not observed power. The estimates depend on the assumptions stated for the illustration, and a future study’s actual requirements could differ if its expected effect, allocation, outcome frequency, analysis, or other design features differ. The curve should be read as a visual representation of the planning relationship between assumed effect size and participants per arm, not as a prediction of a future study’s result.

13. How the Sample Size Is Derived

Power is the probability that a study of a given size rejects the null hypothesis when a specific true effect exists. It depends on four things: the effect to detect, the variability of the outcome, the significance level (here a two-sided α of 0.05, so z1−α/2 = 1.960) and the desired power (z1−β = 0.842 for 80% and 1.282 for 90%).

Formula

n = [ z1−α/2 √(2p̄(1−p̄)) + z1−β √(p0(1−p0) + p1(1−p1)) ]2 / (p1 − p0)2

n is the number of participants in each arm, p0 and p1 are the control and treatment proportions, and p̄ is their average.

Worked calculation for this trial

  1. Control proportion p0 = 0.275; treatment proportion p1 = 0.508; average p̄ = 0.392.
  2. First term: z1−α/2 × √[2p̄(1−p̄)] = 1.96 × 0.6903 = 1.3529.
  3. Second term: z1−β × √[p0(1−p0) + p1(1−p1)] = 0.842 × 0.6704 = 0.5642.
  4. n = (1.3529 + 0.5642)2 / (0.2328)2 = 67.8, rounded up to 68 participants per arm for 80% power.

The smaller-effect rows in the table above repeat the same calculation with the effect multiplied by 0.75 and 0.5 (for ratios, applied to the logarithm of the ratio).

R code

alpha <- 0.05
z_a   <- qnorm(1 - alpha / 2)          # two-sided
p0 <- 0.275132275132275                          # control proportion
p1 <- 0.507936507936508                          # treatment proportion
n_per_arm <- function(power, frac = 1) {
  q1 <- p0 + (p1 - p0) * frac               # smaller effect = fraction of the observed difference
  pbar <- (p0 + q1) / 2
  z_b <- qnorm(power)
  ceiling(round((z_a * sqrt(2 * pbar * (1 - pbar)) + z_b * sqrt(p0 * (1 - p0) + q1 * (1 - q1)))^2 / (q1 - p0)^2, 6))
}
for (f in c(1, 0.75, 0.5))
  cat(sprintf("%3.0f%% of observed effect: n per arm = %s (80%% power), %s (90%% power)\n", 100 * f,
              format(n_per_arm(0.80, f), big.mark = ","), format(n_per_arm(0.90, f), big.mark = ",")))

# Check against R's built-in function (unrounded n per arm)
cat("power.prop.test:", round(power.prop.test(p1 = p0, p2 = p1, power = 0.80)$n, 1), "\n")

# Simulation: how often does the z-test reject at the 80%-power sample size?
set.seed(3422653)
n    <- n_per_arm(0.80)
reps <- 20000
x0 <- rbinom(reps, n, p0); x1 <- rbinom(reps, n, p1)
ph <- (x0 + x1) / (2 * n)
z  <- ((x1 - x0) / n) / sqrt(ph * (1 - ph) * 2 / n)
cat(sprintf("Simulated power at n = %s per arm: %.3f (%d replicates)\n", format(n, big.mark = ","), mean(abs(z) > z_a, na.rm = TRUE), reps))

Output from running the code

100% of observed effect: n per arm = 68 (80% power), 91 (90% power)
 75% of observed effect: n per arm = 118 (80% power), 158 (90% power)
 50% of observed effect: n per arm = 257 (80% power), 343 (90% power)
power.prop.test: 67.8 
Simulated power at n = 68 per arm: 0.803 (20000 replicates)

The simulation draws many pairs of event counts at the planned sample size and counts how often the two-proportion z-test rejects the null. It should land close to the target power; at very small required sample sizes it can fall below it, because the normal approximation is rough there.

14. Analyses Reported by the Sponsor

MethodEstimate95% CIP-value
Cui, Hung, WangOdds Ratio (OR) 2.721.72 to 4.30< 0.001

The sponsor’s reported primary analysis uses the Cui, Hung, Wang method and gives an odds ratio of 2.72, with a 95% confidence interval from 1.72 to 4.30 and p < 0.001. The unadjusted recalculation from the posted summary statistics also gives an odds ratio of 2.72, but its 95% confidence interval is 1.773 to 4.173. The recalculation is a simple unadjusted calculation and is not a replacement for the sponsor’s analysis.

The registry indicates no discrepancy between the posted sponsor result and the recalculation. Even so, the sponsor’s own analysis takes precedence as the trial’s reported analysis. Its method and interval are the appropriate reference for describing the sponsor’s analysis; the recalculated interval is useful as a transparent check based on the posted counts. The different interval limits can arise because the calculations do not use identical methods, despite reporting the same rounded odds-ratio estimate. The registry record does not provide enough detail to reproduce the sponsor’s model in full or to determine all reasons for the interval differences.

15. Multiplicity, Missing Data and Analysis Populations

The registry lists one primary endpoint and several secondary outcomes. It reports a primary Week 12 itch-intensity comparison and a secondary itch-intensity threshold result. It also names two itch-related quality-of-life outcomes, but their results are not reported in the registry record. The reported secondary p-value is unadjusted. No multiplicity procedure, hierarchy for testing endpoints, or family-wise error strategy is reported in the registry record. Without those details, the secondary findings should be treated as supportive and exploratory rather than as independent confirmation of the primary result.

Multiplicity matters because evaluating several outcomes can increase the chance that at least one result appears statistically persuasive even when none reflects a real group difference. In general, a prespecified approach can limit that risk by defining which comparisons are confirmatory and how their error rates are controlled. The registry record does not say whether such an approach was used in the trial’s full analysis plan, so it is not possible to assess the confirmatory status of each secondary analysis from the posted record alone.

The primary endpoint note says the data include one participant assigned to placebo who withdrew before receiving the first placebo dose. The registry does not describe how missing Week 12 scores were handled, whether participants with missing measurements were imputed, or what analysis population was used for each outcome. It also does not report the extent or pattern of missing primary outcome data beyond that note. These details matter because the result may depend on how missing outcomes are treated and on which randomized participants contribute to the analysis.

The registry’s primary endpoint summaries list 189 participants in each group, while the double-blind placebo safety summary lists 188 at risk. These are distinct reported denominators for different summaries; they should not be combined or assumed to represent the same analysis population. The record does not provide a full participant flow or a complete explanation of these denominator choices. Interim analyses and any associated statistical adjustments are 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
Double-blind CR845 0.5mcg/kg4918925.9%
Double-blind Placebo4118821.8%
Open-label CR845 0.5 mcg/kg16731353.4%
Participants with at least one serious adverse event
Serious adverse events by armDouble-blind CR845 0.5mcg/kg25.9%Double-blind Placebo21.8%Open-label CR845 0.5 mcg/kg53.4%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
Double-blind CR845 0.5mcg/kg2 of 189
Double-blind Placebo2 of 188
Open-label CR845 0.5 mcg/kg22 of 313

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
Double-blind CR845 0.5mcg/kg40 of 189
Double-blind Placebo30 of 188
Open-label CR845 0.5 mcg/kg205 of 313

Most frequent serious adverse event terms

Event termOrgan systemDouble-blind CR845 0.5mcg/kgDouble-blind PlaceboOpen-label CR845 0.5 mcg/kg
PneumoniaInfections and infestations3 of 1895 of 18823 of 313
Fluid overloadMetabolism and nutrition disorders2 of 1894 of 18816 of 313
HyperkalaemiaMetabolism and nutrition disorders4 of 1894 of 18812 of 313
SepsisInfections and infestations3 of 1894 of 18810 of 313
Cardiac failure congestiveCardiac disorders1 of 1891 of 18811 of 313
Metabolic encephalopathyNervous system disorders1 of 1892 of 18810 of 313
Mental status changesPsychiatric disorders2 of 1892 of 1889 of 313
HypotensionVascular disorders3 of 1892 of 1888 of 313
Respiratory failureRespiratory, thoracic and mediastinal disorders2 of 1890 of 18811 of 313
DyspnoeaRespiratory, thoracic and mediastinal disorders1 of 1891 of 18810 of 313

Most frequent non-serious adverse event terms

Event termOrgan systemDouble-blind CR845 0.5mcg/kgDouble-blind PlaceboOpen-label CR845 0.5 mcg/kg
DiarrhoeaGastrointestinal disorders18 of 18910 of 18861 of 313
NauseaGastrointestinal disorders7 of 1899 of 18854 of 313
FallInjury, poisoning and procedural complications6 of 1898 of 18850 of 313
HypotensionVascular disorders7 of 1894 of 18849 of 313
VomitingGastrointestinal disorders10 of 1896 of 18843 of 313
NasopharyngitisInfections and infestations6 of 18914 of 18831 of 313
DizzinessNervous system disorders13 of 1893 of 18835 of 313
CoughRespiratory, thoracic and mediastinal disorders9 of 1894 of 18836 of 313
Muscle spasmsMusculoskeletal and connective tissue disorders6 of 1898 of 18835 of 313
HeadacheNervous system disorders8 of 1894 of 18836 of 313

Serious events with the highest arm-level rate: pneumonia (7.3%), fluid overload (5.1%), hyperkalaemia (3.8%), cardiac failure congestive (3.5%), respiratory failure (3.5%).

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 for the double-blind CR845 group as 49 participants affected among 189 at risk, and for the double-blind placebo group as 41 affected among 188 at risk. It reports 2 deaths in each double-blind group. For the open-label CR845 group, the registry reports 167 participants affected by serious adverse events among 313 at risk and 22 deaths. The open-label figures describe a different study phase and should not be treated as a randomized comparison with the double-blind placebo group.

The registry also lists serious-event terms and their reported percentages, including pneumonia at 7.3%, fluid overload at 5.1%, hyperkalaemia at 3.8%, cardiac failure congestive at 3.5%, respiratory failure at 3.5%, and sepsis at 3.2%. These entries identify reported event categories; they do not establish that an event was caused by the study intervention. The registry record does not provide enough detail to assess timing, exposure duration, event-level overlap, or adjusted comparative safety estimates. The figures should be read as descriptive safety information, not as proof of causation or a complete assessment of risk.

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

The posted primary results show a higher observed percentage meeting the Week 12 itch-improvement threshold in the CR845 group than in the placebo group. The sponsor’s reported odds ratio and the unadjusted recalculation both indicate a group contrast in the same direction, and their reported p-values are below 0.001. The confidence intervals express uncertainty about the group-specific percentages and the comparison; they do not make the estimated effect exact.

This finding applies to the specific threshold endpoint, assessment schedule, population, and double-blind phase described in the registry. It does not establish the amount of improvement for every participant, the average change in itch score, or whether the same pattern holds for quality of life. The listed 5-D Itch Scale and Skindex-10 outcomes do not have results reported in the registry record. Nor should the Week 12 randomized comparison be extended to conclusions about the 52-week open-label extension, whose outcomes are not included in the primary result summary.

A statistically strong comparison does not by itself determine clinical importance, explain individual experiences, or answer every question about study conduct. In general, clinical interpretation also depends on the relevance of the threshold, the measurement’s properties, missing data, analysis choices, and how outcomes were selected and tested. Some of those details are not reported in the registry record. The adverse-event entries provide descriptive counts and reported event terms but do not establish that the intervention caused those events, or settle the comparative safety profile.

The result should therefore be read as evidence about one registered, short-term, binary itch-intensity outcome in a randomized comparison, alongside the stated precision and limits of the registry record. It is not a guarantee of an individual response and is not a complete account of all benefits, harms, longer-term outcomes, or other treatment options.

18. Why This Trial Matters Statistically

This trial illustrates why the effect scale matters when interpreting a binary clinical endpoint. A percentage meeting a threshold, an absolute risk difference, and an odds ratio describe related aspects of the same comparison, but they are not interchangeable. The group percentages communicate how common the defined response was in each arm; the risk difference expresses an absolute contrast; and the odds ratio expresses a relative contrast in odds. Reading the measures together helps prevent a relative estimate from being mistaken for a direct multiplication of the response percentage.

The study also shows the value of separating the primary endpoint from secondary outcomes. The primary threshold gives the main registered answer at Week 12, while a different secondary threshold asks a related but distinct question. Listed quality-of-life outcomes add potentially relevant dimensions, but their results are not reported in the registry record. Without a reported multiplicity plan, secondary analyses have less confirmatory force than the primary analysis.

Precision and analysis transparency matter alongside the point estimates. Confidence intervals show the uncertainty attached to estimates, while missing-data procedures, analysis-population definitions, and model details affect how those estimates should be understood. Those details are only partly available in the registry record. The sponsor analysis and the unadjusted recalculation provide complementary views, but the sponsor’s analysis remains the reported trial analysis.

Finally, the registry includes both a double-blind randomized phase and an open-label extension, as well as descriptive safety counts. Keeping randomized comparative evidence separate from open-label follow-up and descriptive safety summaries is important: those data structures answer different questions and do not support the same kind of inference.

19. Limitations

The registry record does not report the full statistical analysis plan, the original sample-size justification, or the covariates and other details of the primary logistic-regression model. It also does not report how missing Week 12 outcome data were handled, the exact analysis population, or the extent and pattern of missing outcome measurements. The endpoint note identifies one placebo-assigned participant who withdrew before receiving the first dose, but that note is not a substitute for a complete participant-flow account.

Results for the listed 5-D Itch Scale and Skindex-10 quality-of-life outcomes are not reported in the registry record. The registry reports an unadjusted p-value for the secondary itch-intensity analysis but does not report a multiplicity procedure or testing hierarchy. Those omissions limit assessment of how strongly the secondary findings support confirmatory conclusions. The posted primary result is also specific to a threshold response at Week 12; it does not provide the distribution of score changes or outcomes at other times.

The open-label extension is described in the study design, and a safety group is listed for open-label CR845, but extension efficacy outcomes are not included in the primary result information. Open-label safety summaries cannot be treated as randomized comparisons with the double-blind placebo group. The serious-event counts and terms are descriptive; the registry record does not provide enough information to attribute individual events to treatment or assess all comparative safety questions.

Finally, the planning illustrations are based on the observed effect and stated simplifying assumptions, not the trial’s original design calculation. They should not be used as evidence about the study’s achieved power or as a definitive prescription for another study. These limitations describe gaps in the registry record and the scope of the posted results, rather than demonstrating that any particular analysis or study procedure was inappropriate.

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23. Record Summary

NCT03422653 is a completed, multicenter, randomized, double-blind, placebo-controlled, parallel-group Phase 3 study sponsored by Cara Therapeutics, Inc. It enrolled 378 people with moderate-to-severe pruritus receiving hemodialysis. The double-blind phase compared intravenous CR845 at 0.5 mcg/kg with intravenous placebo after dialysis sessions and lasted 12 weeks; the study also included a 52-week open-label extension.

The primary Week 12 endpoint was the percentage achieving at least a 3-point improvement in the weekly mean daily worst-itching NRS score. The registry reports 51.0% for CR845 and 27.6% for placebo, with a sponsor odds ratio of 2.72 and p < 0.001. The reported confidence intervals indicate uncertainty around both group percentages and the comparison. Secondary itch-intensity results follow the same direction, while the listed quality-of-life results are not reported in the registry record.

Interpretation is limited by unreported details on missing data, analysis populations, multiplicity, and the full statistical plan. Safety entries are descriptive and do not establish causation.

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