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Chronic Obstructive Pulmonary Disease (COPD) Phase 2 Continuous Endpoint NCT02662582

A Study to Assess the Effect of CK-2127107 on Physical Function in Subjects With Chronic Obstructive Pulmonary Disease: Complete Statistical Analysis

This analysis examines a randomized, double-blind crossover trial of CK-2127107 versus placebo in people with chronic obstructive pulmonary disease. The primary outcome was change in cycle-ergometer endurance time after each two-week treatment period.

Trial start: 2016-06-30  ·  Enrollment: 46  ·  Sponsor: Astellas Pharma Global Development, 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 Assess the Effect of CK-2127107 on Physical Function in Subjects With Chronic Obstructive Pulmonary Disease (NCT02662582), a randomized phase 2 study. The primary outcome is Change From Period Baseline at Week 2 in Constant Work Rate (CWR) Endurance Time Relative to Placebo.

46
Enrollment
Phase 2
2
Arms
In the primary outcome
-12.00
Mean difference
CK-2127107
-72.16–48.16
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT02662582
PhasePhase 2
ConditionChronic Obstructive Pulmonary Disease (COPD)
AllocationRandomized
Design modelCrossover
MaskingDouble
Enrollment46
Arms in the primary outcome2
Lead sponsorAstellas Pharma Global Development, Inc.
Results postedYes

2. Clinical Question

Population

Participants with chronic obstructive pulmonary disease (COPD) entered a Phase 2a trial. The registry reports 46 enrolled participants. The primary outcome population was the full analysis set: randomized participants who received at least one dose, had at least one baseline measurement, and had at least one post-baseline measurement within a period, with data available at the specified time point.

Intervention

CK-2127107, also named reldesemtiv in the intervention listing. The arm descriptions state that participants received 500 mg orally twice daily for two weeks in one treatment period. The two treatment periods were separated by a two-week washout.

Comparator

Matching placebo, taken orally twice daily for two weeks in the other treatment period. Participants were assigned to one of the two sequences: CK-2127107 followed by placebo, or placebo followed by CK-2127107.

Primary question

Did change from period baseline in constant work rate (CWR) cycle-ergometer endurance time at week 2 differ between CK-2127107 and placebo? The outcome is measured in seconds; a positive change from baseline indicates improvement. The registry reports a mixed-model estimate of the between-treatment difference, with a 90% confidence interval and p-value.

The study also assessed cardiopulmonary and neuromuscular measures, resting spirometry, safety and tolerability, and pharmacokinetics. The primary question is specifically about exercise endurance, not a broad measure of COPD symptoms or daily functioning. The registry record does not report a clinical threshold defining what size of change in endurance time would be important to participants.

3. Trial Design

This was a Phase 2a randomized, double-blind, placebo-controlled crossover study. In a crossover design, each participant receives both study treatments in different periods, so the treatment comparison can use measurements made under both conditions in the same participant. The registry describes two sequences: CK-2127107 in the first period followed by placebo, or placebo first followed by CK-2127107. Each treatment period lasted two weeks, with a two-week washout between them.

The arm descriptions state that CK-2127107 was given as 500 mg orally twice daily, with matching placebo given twice daily during the other period. The listed sequence labels refer to CK-2127107 1000 mg, while the descriptions specify 500 mg twice daily. The registry record does not explain this difference in wording.

The study enrolled 46 participants and is recorded as completed. The registry gives a start date of 2016-06-30 and a primary completion date of 2018-06-08. For the primary outcome, the full analysis set included randomized participants who received at least one dose and had baseline and post-baseline measurements within a period; analyses used participants with available data at each specified time point. The posted arm summaries have 32 participants for placebo and 35 for CK-2127107, which are analysis counts rather than the overall enrollment count.

Randomization and double masking are stated in the registry. Further details such as the randomization procedure, allocation concealment, the washout's rationale, and the statistical handling of sequence or period effects are not reported in the registry record. The registry reports that the primary comparison used a mixed models analysis, but the full model specification is not reported in the registry record.

4. Participant Flow and Accounting

The registry reports how participants moved through each stage of the study. All counts below are exactly as posted; missing counts are not inferred from other stages.

Before assignment: Participants with a clinical diagnosis of moderate to severe chronic obstructive pulmonary disease (COPD) between 40 to 75 years of age inclusive and met all of the inclusion and none of the exclusion criteria were enrolled in this study.

Treatment Period 1 (14 Days)

StageCK-2127107 1000 mg, Then PlaceboPlacebo, Then CK-212710 1000 mg
STARTED2323
COMPLETED1819
NOT COMPLETED54

Reasons for not completing this period:

ReasonCK-2127107 1000 mg, Then PlaceboPlacebo, Then CK-212710 1000 mg
Adverse Event32
Miscellaneous01
Protocol Deviation10
Withdrawal by Subject11

Washout Period (14 Days)

StageCK-2127107 1000 mg, Then PlaceboPlacebo, Then CK-212710 1000 mg
STARTED1819
COMPLETED1819
NOT COMPLETED00

Treatment Period 2 (14 Days)

StageCK-2127107 1000 mg, Then PlaceboPlacebo, Then CK-212710 1000 mg
STARTED1819
COMPLETED1819
NOT COMPLETED00

Analysis population for the primary outcome, as defined in the registry: The full analysis set (FAS) consisted of all participants who were randomized and received ≥ 1 dose of study drug and had ≥ 1 baseline measurement and 1 post baseline measurement within a period. FAS population with available data at each specified time point.

5. Baseline Characteristics

The table reproduces the baseline characteristics posted in the registry, which describe the participants analysed at baseline and help show whether the randomized groups were comparable.

Population: The safety analysis set (SAF) consisted of all randomized participants who took ≥ 1 dose of study medication.

CharacteristicUnitCK-2127107 1000mg, Then PlaceboPlacebo, Then CK-2127107 1000mgTotal
Participants analysed232346
Age, ContinuousYears62.8 (SD 7.9)63.1 (SD 8.3)63 (SD 8)
Sex: Female, Male: FemaleParticipants131225
Sex: Female, Male: MaleParticipants101121
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants011
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants232245
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants000
Race (NIH/OMB): American Indian or Alaska NativeParticipants000
Race (NIH/OMB): AsianParticipants000
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants000
Race (NIH/OMB): Black or African AmericanParticipants5813
Race (NIH/OMB): WhiteParticipants181432
Race (NIH/OMB): More than one raceParticipants000
Race (NIH/OMB): Unknown or Not ReportedParticipants011
Constant work rate (CWR) Endurance TimeSeconds334.5 (SD 80.0)346.4 (SD 89.1)340.4 (SD 84.0)

6. Primary Endpoint

The registry lists the primary outcome as Change From Period Baseline at Week 2 in Constant Work Rate (CWR) Endurance Time Relative to Placebo, measured over Baseline and week 2 of each treatment period.

ElementRegistry entry
Result typeLeast Squares Mean
Measure of spreadStandard Error
Unitseconds
Endpoint classificationContinuous Endpoint

The primary endpoint is change from period baseline at week 2 in constant work rate (CWR) endurance time, compared between CK-2127107 and placebo. It is measured in seconds during cycle-ergometer exercise. The registry describes CWR time to intolerance as the time until a participant reaches symptom limitations while being monitored; this determines the CWR endurance time. Time to intolerance was assessed with a stopwatch and verified from electronic cycle-ergometer recordings. Measurements used a breath-by-breath metabolic system with integrated electrocardiogram monitoring.

Change from period baseline makes the outcome a within-period change rather than a comparison of raw endpoint values alone. The crossover structure means each participant could contribute observations under both treatment conditions, which can help control for stable differences between people when treatments are compared. That general benefit depends on suitable design and analysis; it does not remove possible period, sequence, carryover, or missing-data concerns.

The registry states that a positive change indicates improvement from baseline, so the direction of a treatment contrast must be read with the outcome definition in mind. The endpoint is intended to quantify exercise tolerance under a standardized workload. It does not, by itself, establish how participants function in ordinary daily life or how meaningful a particular change would be to them. A threshold for clinical importance is not reported in the registry record.

7. Results Posted in the Registry

Mean difference: CK-2127107

-12.00

95% CI: -72.16 to 48.16

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals-64.7-41.4-18.15.228.551.8Placebo (n=32)CK-2127107 (n=35)seconds (95% CI)
Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)CK-2127107-82-54-261.963058mean difference 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
Change From Period Baseline at Week 2 in Inspiratory Capacity (IC) Change From Peak to RestContinuous EndpointMean difference0.05 (-0.09 to 0.19)476 per arm
Change From Period Baseline at Week 2 in Forced Vital Capacity (FVC)Continuous EndpointMean difference-0.10 (-0.23 to 0.03)108 per arm
Change From Period Baseline at Week 2 in Forced Expiratory Volume 1 (FEV1)Continuous EndpointMean difference-0.01 (-0.08 to 0.07)8,112 per arm

Change From Period Baseline at Week 2 in Inspiratory Capacity (IC) Change From Peak to Rest

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)CK-2127107-0.11-0.040.020.080.150.21mean difference vs control (95% CI)

Change From Period Baseline at Week 2 in Forced Vital Capacity (FVC)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)CK-2127107-0.25-0.19-0.13-0.07-0.010.05mean difference vs control (95% CI)

Change From Period Baseline at Week 2 in Forced Expiratory Volume 1 (FEV1)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)CK-2127107-0.10-0.06-0.020.010.050.08mean difference vs control (95% CI)

The registry lists a broad range of secondary measures, including oxygen uptake, ventilation, ventilatory efficiency, inspiratory capacity, perceived exertion, respiratory exchange ratio, carbon dioxide output, and end-tidal carbon dioxide. It records 25 posted secondary outcomes. The available detailed results in the record include inspiratory capacity, forced vital capacity, and forced expiratory volume in one second.

Across those available detailed comparisons, the estimated directions are not uniform: one measure has a positive treatment contrast, while the spirometry contrasts are negative or close to zero. The reported intervals for these three comparisons cross zero. Taken together, these results do not form a clear, consistent pattern that independently reinforces the primary endurance-time result. They also do not establish that the treatments have identical effects.

Secondary outcomes can help describe whether an intervention's effects appear across related physiological measures, but they are not substitutes for the prespecified primary question. If many outcomes are tested, chance alone can produce apparently notable findings. The registry record does not report a multiplicity adjustment or identify a hierarchy for interpreting the secondary outcomes. For that reason, unadjusted secondary results carry less weight than the primary analysis and should be treated as exploratory unless the analysis plan states otherwise. Details of the remaining posted secondary results are not reported in the registry record available for this analysis, so a broader endpoint-by-endpoint pattern cannot be established from these results.

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

9. Statistical Interpretation

Clinical Biostats interpretation

The registry's mixed models analysis estimates a CK-2127107 minus placebo least-squares mean difference of -12.0 seconds in change in CWR endurance time. Its 90% confidence interval ranges from -71.2 to 47.2 seconds, and the reported p-value is 0.734. The interval includes zero and includes estimates in either direction. The posted result therefore does not pin down a precise treatment contrast: it is compatible with a range of values, including a modest advantage for either treatment and a larger difference in either direction.

The posted arm summaries show mean changes of -1.4 seconds with placebo and -13.4 seconds with CK-2127107. These are least-squares means, and the reported treatment comparison comes from a mixed models analysis. They should not be treated as independent raw group means or as a substitute for the crossover model's estimate. The comparison's p-value does not measure the probability that either treatment is effective, nor does it establish equivalence. The registry does not report an equivalence or non-inferiority objective.

A simple unadjusted re-calculation from the posted summary statistics gives a mean difference of -12.0 seconds, with a 95% interval from -72.16 to 48.16 and an unadjusted p-value of 0.696. This calculation is a rough comparison of the summaries and is not the same analysis as the sponsor's mixed model. The two approaches yield similar central estimates but different uncertainty intervals and p-values because their methods differ. The registry's own mixed-model analysis is the trial's reported result.

The secondary outcomes listed in the record span exercise physiology, inspiratory capacity, perceived exertion, and spirometry. The available posted secondary comparisons do not establish a consistent pattern that would strengthen the primary finding. Their interpretation also warrants caution because multiple outcomes were assessed and an adjustment strategy for multiplicity is not reported in the registry record.

These results describe estimates and uncertainty in this trial, not a recommendation about treatment. Enrollment was 46, while the primary analysis summaries include 32 and 35 observations by treatment. In a crossover trial, those treatment counts may represent available period-specific data rather than distinct sets of participants. The registry's analysis-population definition is stated, but the number excluded for each reason and the handling of missing observations are not reported in the registry record.

10. Statistical Methods Explained

The primary endpoint is continuous: it measures a change in endurance time in seconds. The registry reports least-squares means for each treatment and a least-squares mean difference from a mixed models analysis. Least-squares means are model-based estimates adjusted according to the model's terms. The registry record does not give the complete model formula, covariance structure, or list of included covariates, so the precise adjustments cannot be described.

What does a mixed model contribute?

General statistical explanation: mixed models can represent both treatment effects and correlations among repeated observations. In a crossover trial, the same participant contributes measurements during more than one treatment period, so those observations are not generally independent. A model that accounts for this dependence can estimate a treatment contrast while reflecting the repeated-measures structure. The registry identifies a mixed models analysis, but the details needed to determine exactly how within-participant correlation, period, sequence, or carryover were handled are not reported in the registry record.

Randomization helps limit systematic differences in treatment assignment, and double masking can reduce bias in care or outcome assessment. Those design features do not guarantee that all sources of bias are absent. The registry identifies the study as randomized and double-blind but does not report the randomization method, concealment details, or assessment of masking.

How should the contrast and p-value be read?

The reported least-squares mean difference is -12.0 seconds for CK-2127107 relative to placebo. Because the endpoint is change from baseline, the contrast is a difference between treatment-period changes, not simply a difference in final endurance times. The reported 90% interval is -71.2 to 47.2 seconds. A confidence interval describes the range of estimates compatible with the data and the statistical procedure at its stated confidence level. It is not a range containing a fixed proportion of individual participant outcomes, nor is it the probability that the true value lies in that particular interval.

The reported p-value is 0.734. General statistical explanation: a p-value measures how unusual data at least as incompatible with a specified null hypothesis would be if that null hypothesis and the analysis assumptions held. It is not the probability that the null hypothesis is true, and it does not measure clinical importance. A p-value alone also does not show whether a result is precise; the confidence interval provides useful information about the range of compatible treatment contrasts.

What is the recalculated comparison?

The posted re-calculation uses the treatment-specific summary values and standard errors to construct a simple, unadjusted comparison. It estimates a mean difference of -12.0 seconds, a 95% interval from -72.16 to 48.16, and an unadjusted p-value of 0.696. It is not a reconstruction of the mixed model and does not use the full participant-level crossover data. The standard deviations used in this calculation are approximate, inferred from the posted summaries, so it is best read as a rough check rather than a competing primary analysis. The registry record does not mark a discrepancy between this calculation and the sponsor result.

Why can an interval be wide?

General statistical explanation: an interval's width depends on the amount and variability of information, as well as the method used to estimate uncertainty. Smaller samples and more variable measurements tend to produce less precise estimates. Repeated measures can provide useful within-person information, but the gain depends on the correlation between measurements and the analysis model. The registry reports the treatment-specific analysis counts and standard errors, but not enough detail to isolate how each design feature contributed to the interval's width.

The posted arm values are least-squares means with standard errors. A standard error describes the estimated uncertainty of a mean, not the spread of individual participants' outcomes. It should not be read as a standard deviation. The uncertainty for the treatment difference is reflected directly in its confidence interval.

What analysis details remain unknown?

The registry record does not report the original sample-size calculation, its assumptions, or the rationale for the enrollment target. It also does not report an interim-analysis plan, adjustment for multiple comparisons, a detailed missing-data strategy, or sensitivity analyses. Those omissions limit how far readers can assess the full analysis plan. The stated analysis population requires baseline and post-baseline data within a period and availability at the specified time point, but exclusions and missingness patterns are not described.

General statistical explanation: over-dispersion is a concern when observed variability exceeds what a statistical model assumes. It can make standard errors too small if ignored, leading to overly narrow intervals or overly optimistic tests. The primary outcome is continuous, and no over-dispersion assessment is reported in the registry record; this issue should not be assumed to have occurred in this analysis. More broadly, statistical methods should match outcome type, design, and data structure, and the registry's brief method label does not provide enough detail to verify every modeling choice.

11. Confidence Intervals and Precision

The primary estimate from the registry's mixed models analysis is -12.0 seconds, with a 90% confidence interval from -71.2 to 47.2 seconds. The interval includes zero, so the posted data are compatible with no difference as well as with differences in either direction. Its breadth means that the point estimate alone should not be mistaken for a precise estimate of the treatment contrast.

General statistical explanation: a confidence interval summarizes uncertainty under the statistical model and its assumptions. A 90% interval is constructed by a procedure that, over repeated use under those assumptions, would cover the target value at the stated rate. It is not a statement that 90% of participants' outcomes lie in the interval. The interval also does not account for unreported sources of uncertainty, such as possible bias from missing data or model misspecification.

The simple recalculation uses a 95% interval from -72.16 to 48.16 seconds. It is based on posted summary statistics and an approximate standard deviation, rather than the sponsor's participant-level mixed-model analysis. Its interval and the sponsor's 90% interval should not be compared as if they were generated by the same method and confidence level. The registry's mixed-model result is the reported trial analysis; the recalculation is only a supplementary unadjusted estimate.

For the posted secondary comparisons, the reported sponsor intervals also cross zero. That indicates uncertainty around those estimates, not proof that the treatments are identical. No clinical-importance threshold is reported in the registry record, so the intervals cannot be classified against a stated threshold for meaningful change. More precise estimates would narrow the range of compatible effects, but precision by itself would not establish clinical relevance.

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 effect1,7172,299
75% of the observed effect3,0534,087
50% of the observed effect6,8689,194
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect1,0002,0005,00010,00020,00040%60%80%100%80% power90% powersize of effect to detect, as % of the effect observed (log vertical scale: participants per arm)
Treat these figures cautiously. The observed difference is imprecise: its confidence interval includes no difference at all. A sample size built on a noisy estimate can be far too small or too large, so the smaller-effect rows are the more cautious guide.
Method and assumptions. Two-sided α = 0.05, 1:1 allocation, two-sample comparison of means with the pooled standard deviation. Standard deviation was approximated from model-based standard errors, so treat it as rough. Calculated for the comparison: CK-2127107.

The planning figures are illustrations based on the observed effect, not the trial's original design calculation. They assume a two-sided significance level of 0.05, equal allocation between two arms, and a normal approximation. Each planning row considers detecting a stated fraction of the observed effect. The entries are participants per arm for 80% power or participants per arm for 90% power; these are not total enrollment counts and are not total event counts. The outcome is continuous, so an event-count interpretation does not apply.

In plain language, the 80% power column gives the estimated number of participants per arm that would be needed for the specified effect under the listed assumptions, with an 80% chance of statistical significance if that effect were the true effect and the assumptions held. The 90% column gives the corresponding planning number for a higher chance of detecting that effect. These are planning concepts, not guarantees about what a future study would find. This is not observed power.

The rows for 100%, 75%, and 50% of the observed effect show how the planning requirement changes when the target effect is smaller. Smaller effects need more participants to distinguish them from random variation under the same assumptions. The large calculated numbers should not be read as a recommendation for a future crossover study: the illustration assumes equal allocation between two arms and a normal approximation, while the registry describes a crossover trial. The original trial's sample-size assumptions and justification are not reported in the registry record.

The planning calculations use the observed estimate, which is uncertain and may not be a stable estimate of the effect a future trial would see. They are therefore useful for understanding how power calculations respond to assumed effect size, but should not be treated as a validated design recommendation. The planning figures are not a reanalysis of the original trial's enrollment target.

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 = 2 (z1−α/2 + z1−β)2 σ2 / Δ2

n is the number of participants in each arm, Δ is the difference in means to detect and σ is the common standard deviation.

Worked calculation for this trial

  1. Observed difference Δ = -12.000; pooled standard deviation σ = 125.498.
  2. n = 2 × (1.96 + 0.842)2 × 125.4982 / -12.0002 = 1,716.9, rounded up to 1,717 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
delta <- -12                      # observed difference in means
sigma <- 125.497832037664                     # pooled standard deviation
n_per_arm <- function(power, frac = 1) {
  ceiling(round(2 * (z_a + qnorm(power))^2 * sigma^2 / (delta * frac)^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 (t-based, so very slightly larger)
cat("power.t.test:", round(power.t.test(delta = delta, sd = sigma, power = 0.80)$n, 1), "\n")

# Simulation: exact two-sample t-test using simulated means and variances
set.seed(2662582)
n    <- n_per_arm(0.80)
reps <- 20000
m_diff <- rnorm(reps, delta, sigma * sqrt(2 / n))             # difference in sample means
s2     <- sigma^2 * rchisq(reps, 2 * (n - 1)) / (2 * (n - 1))   # pooled sample variance
tstat  <- m_diff / sqrt(s2 * 2 / n)
cat(sprintf("Simulated power at n = %s per arm: %.3f (%d replicates)\n", format(n, big.mark = ","), mean(abs(tstat) > qt(0.975, 2 * (n - 1))), reps))

Output from running the code

100% of observed effect: n per arm = 1,717 (80% power), 2,299 (90% power)
 75% of observed effect: n per arm = 3,053 (80% power), 4,087 (90% power)
 50% of observed effect: n per arm = 6,868 (80% power), 9,194 (90% power)
power.t.test: 1717.9 
Simulated power at n = 1,717 per arm: 0.798 (20000 replicates)

The simulation draws many sets of group means and variances at the planned sample size and counts how often the two-sample t-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
Mixed Models AnalysisLSMean difference -12.0-71.2 to 47.20.734

The registry's own primary analysis is a mixed models analysis. It reports a least-squares mean difference of -12.0 seconds, a 90% confidence interval from -71.2 to 47.2 seconds, and p = 0.734. This is the reported treatment comparison from the trial.

The unadjusted recalculation from the posted summary statistics also estimates a difference of -12.0 seconds, but gives a 95% interval from -72.16 to 48.16 and p = 0.696. It uses approximate standard deviations derived from the summary values and does not reproduce the mixed model or the full crossover analysis. The identical central estimate does not mean the methods are interchangeable; their intervals and p-values differ.

The registry record does not flag a discrepancy between the recalculation and the reported analysis. Accordingly, the sponsor's mixed-model result remains the primary result to interpret, while the recalculation offers a simple summary-statistic comparison. The registry does not provide enough model details to independently reproduce the sponsor analysis from participant-level data.

15. Multiplicity, Missing Data and Analysis Populations

The registry identifies one primary outcome: change in CWR endurance time at week 2 relative to placebo. It also lists numerous secondary outcomes and reports 25 posted secondary outcomes overall. Testing multiple outcomes increases the chance that at least one result may appear unusual by chance when each is assessed separately.

General statistical explanation: multiplicity refers to the increased false-positive risk that can arise when several hypotheses are tested. Common approaches include adjusting significance thresholds, defining a hierarchy for outcomes, or explicitly labeling analyses exploratory. The registry record does not report whether such an adjustment or hierarchy was used. Therefore, secondary p-values should not be treated as if each were the only test conducted.

The primary analysis population is described as randomized participants who received at least one dose and had at least one baseline and one post-baseline measurement within a period, with available data at each time point. The registry reports treatment-specific analysis counts, but the reasons for unavailable data or exclusions are not reported in the registry record. The missing-data assumptions, imputation procedures, and sensitivity analyses are also not reported in the registry record. Those details matter because an analysis based on available observations can be affected if data availability is related to treatment response or other factors.

The crossover design also makes period and sequence considerations relevant. The registry identifies a mixed models analysis, but does not report whether period, sequence, or possible carryover effects were included or evaluated. Nor does it report interim analyses or the full statistical analysis plan. These missing details do not prove that the analysis was inadequate; they limit what can be assessed from the registry record alone.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Placebo1412.4%
CK-21271072424.8%
Participants with at least one serious adverse event
Serious adverse events by armPlacebo2.4%CK-21271074.8%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
Placebo0 of 41
CK-21271070 of 42

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
Placebo1 of 41
CK-21271073 of 42

Most frequent serious adverse event terms

Event termOrgan systemPlaceboCK-2127107
Renal cell carcinomaNeoplasms benign, malignant and unspecified (incl cysts and polyps)0 of 411 of 42
IIIrd nerve paralysisNervous system disorders0 of 411 of 42
HaematuriaRenal and urinary disorders1 of 410 of 42

Most frequent non-serious adverse event terms

Event termOrgan systemPlaceboCK-2127107
DizzinessNervous system disorders1 of 413 of 42

Serious events with the highest arm-level rate: haematuria (2.4%), renal cell carcinoma (2.4%), iiird nerve paralysis (2.4%).

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 among 1 of 41 participants at risk in the placebo group and 2 of 42 at risk in the CK-2127107 group. No deaths were reported in either group. These counts describe the serious adverse events recorded during the trial; the at-risk counts are the relevant denominators for those summaries.

The listed serious-event terms are haematuria, renal cell carcinoma, and IIIrd nerve paralysis, each reported as 2.4%. These terms describe events recorded in the study and do not by themselves establish causation by a treatment. The registry also reports other adverse events affecting 1 of 41 participants at risk with placebo and 3 of 42 at risk with CK-2127107. These counts should be read as observed safety summaries, not as a complete account of event severity, timing, relatedness, or clinical course.

The study's size and duration limit how much can be concluded about uncommon or delayed adverse events. The registry record does not report enough detail to assess the attribution or comparative risk of individual events. These figures are descriptive and do not support medical advice.

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

The primary result is an estimate of the difference between CK-2127107 and placebo in change in cycle-ergometer endurance time after two weeks of treatment in each crossover period. The registry's mixed-model estimate is -12.0 seconds, with a 90% confidence interval from -71.2 to 47.2 seconds and p = 0.734. The interval includes zero and spans values in both directions, so the result is uncertain about the size and direction of the treatment contrast.

This finding does not establish that the treatments are equivalent. A failure to demonstrate a difference is not the same as evidence that any difference is small enough to be unimportant. The registry does not report an equivalence margin, a non-inferiority objective, or a threshold for clinically meaningful change. It also does not establish that CK-2127107 improves endurance or that it worsens it. The data describe the estimate and its uncertainty in this trial.

The endpoint is a measured exercise-tolerance outcome under cycle-ergometer conditions. It does not automatically translate into changes in daily activities, symptoms outside the test, or long-term health outcomes. Those broader outcomes are not established by this primary measure. The study also assessed physiological and spirometric secondary outcomes, but the available detailed results do not form a consistent pattern that resolves the uncertainty in the primary result.

The trial was Phase 2a and enrolled 46 participants. The primary treatment summaries include fewer available observations by treatment than the enrollment count, and the registry does not describe missingness in detail. The posted findings therefore should be interpreted in the context of the studied population, short treatment periods, analysis methods, and remaining uncertainty. They do not determine how the intervention would perform in other populations or under other treatment durations.

18. Why This Trial Matters Statistically

This trial is statistically informative because it uses a randomized, double-blind crossover comparison for a continuous exercise-tolerance outcome. A crossover design can make within-person comparisons possible, which is useful when measurements vary substantially between people. It also creates analysis considerations: measurements from the same participant are related, and period or sequence effects may matter. The registry identifies a mixed models analysis but does not provide enough detail to evaluate all of those choices.

The result illustrates why an estimate, its interval, and the design context should be considered together. The central estimate is -12.0 seconds, but the 90% interval extends from -71.2 to 47.2 seconds. The interval communicates that the trial does not tightly locate the treatment contrast. A single p-value cannot convey the full range of plausible effects or indicate whether a difference would be meaningful to participants.

The posted summary also demonstrates the limits of a summary-statistic recalculation. Its point estimate matches the mixed-model estimate, but the interval and p-value differ because the recalculation does not reproduce the trial's model. Readers can use a simple recalculation as a check on the broad direction and scale, but the registry's reported mixed-model result is the primary analysis.

Finally, the many secondary outcomes make transparent multiplicity handling important. The registry record does not report a multiplicity strategy, detailed missing-data methods, or the original sample-size justification. Those gaps do not change the posted estimates, but they limit how comprehensively the trial's statistical planning and robustness can be assessed.

19. Limitations

The primary estimate is imprecise, with a 90% confidence interval extending from -71.2 to 47.2 seconds. The sample was small, with 46 enrolled participants, and treatment-specific primary analysis counts were 32 and 35. The registry record does not explain the differences between enrollment and available analysis counts or describe missing-data patterns. This leaves uncertainty about how incomplete observations may have affected the estimates.

The crossover design is potentially efficient for within-person comparisons, but interpretation depends on handling repeated measurements, period effects, sequence effects, and possible carryover. The registry reports a mixed models analysis but does not provide its full specification or state which of these design features were modeled or assessed. A two-week washout is described; the rationale and any evaluation of residual treatment effects are not reported in the registry record.

The registry record does not report the trial's original sample-size calculation, the intended detectable effect, an interim-analysis plan, multiplicity handling, or a clinical-importance threshold for the primary outcome. The recalculated planning figures are not substitutes for the trial's design justification and rely on the observed effect. The registry also does not report detailed missing-data methods or sensitivity analyses.

Follow-up for each treatment was two weeks, so these results do not describe longer-term effects. The primary endpoint is measured during cycle-ergometer exercise, and the record does not establish how the observed test outcome relates to daily functioning. Finally, safety summaries are descriptive and come from a relatively small study; they cannot characterize uncommon or delayed events with precision.

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23. Record Summary

NCT02662582 is a completed Phase 2a randomized, double-blind, placebo-controlled crossover study of CK-2127107 in participants with COPD. The registry reports 46 enrolled participants and two two-week treatment periods separated by a two-week washout. Participants received CK-2127107 in one period and matching placebo in the other.

The primary outcome was change in CWR cycle-ergometer endurance time at week 2. The reported mixed-model comparison was -12.0 seconds, with a 90% confidence interval from -71.2 to 47.2 seconds and p = 0.734. The interval includes zero and is broad, so the treatment contrast remains uncertain. The registry also lists secondary physiological and spirometric outcomes and reports descriptive adverse-event counts. The detailed statistical plan, multiplicity strategy, original sample-size rationale, and missing-data methods are not reported in the registry record.

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