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Diabetic Neuropathies Phase 3 Continuous Endpoint NCT00552175

A Study for the Treatment of Diabetic Peripheral Neuropathic Pain: Complete Statistical Analysis

This analysis examines a randomized, quadruple-masked, parallel-group phase 3 trial comparing combined duloxetine 40 mg and 60 mg with placebo on change in average pain severity at Week 12. It also interprets the sponsor’s reported analysis, selected secondary outcomes, planning illustrations, and registry safety counts.

Trial start: 2007-11  ·  Enrollment: 339  ·  Sponsor: Eli Lilly and Company
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 for the Treatment of Diabetic Peripheral Neuropathic Pain (NCT00552175), a randomized phase 3 study. The primary outcome is Change From Baseline at Week 12 in Average Pain Severity Rating Using Diaries for the Combined Duloxetine Arms (40 mg + 60 mg).

339
Enrollment
Phase 3
2
Arms
In the primary outcome
-0.86
Mean difference
Duloxetine 40 mg and 60 mg Combined
-1.36–-0.36
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT00552175
PhasePhase 3
ConditionDiabetic Neuropathies
AllocationRandomized
Design modelParallel
MaskingQuadruple
Enrollment339
Arms in the primary outcome2
Lead sponsorEli Lilly and Company
Results postedYes

2. Clinical Question

Population

The study concerned patients with diabetic peripheral neuropathic pain, a condition listed in the registry as diabetic neuropathies. The primary outcome population was the Full Analysis Set with a post-baseline measurement for the variable being presented. The registry record does not report further eligibility details in the available information, so the exact entry criteria and characteristics of participants cannot be described.

Intervention

The intervention arms received duloxetine hydrochloride 40 mg or 60 mg orally every day. For the primary comparison, the registry combines those two dose groups into one duloxetine group. The primary outcome therefore does not give a separate estimate for each dose.

Comparator

The comparator was placebo taken orally every day. The primary comparison included 171 participants in the combined duloxetine arms and 167 in the placebo arm for the reported outcome.

Primary question

The primary question was whether change from baseline to Week 12 in diary-based average pain severity differed between the combined duloxetine arms and placebo. The scale ranged from 0, no pain, to 10, pain as severe as you can imagine. A more negative change represents a larger decrease from baseline on this scale. The registry describes a superiority study, but interpretation of the observed difference still depends on the estimate’s precision, the analysis method, and the limitations of the posted results.

3. Trial Design

This was a phase 3, randomized, quadruple-masked, parallel-group study sponsored by Eli Lilly and Company. The registry reports enrollment of 339 participants and a completed status. The study began in 2007-11, and primary completion was recorded in 2009-03. Randomization indicates that treatment assignment was allocated by chance; quadruple masking indicates that four categories of people were masked, but the registry information does not identify those categories or describe how masking was maintained.

The intervention options were duloxetine 40 mg, duloxetine 60 mg, and placebo, each taken orally every day according to the arm descriptions. The primary outcome pooled the two duloxetine doses rather than presenting the main comparison by dose. For that endpoint, the registry reports 171 participants in the combined duloxetine group and 167 in placebo. Those outcome counts are not a replacement for the overall enrollment figure: the primary outcome population is described as Full Analysis Set participants with a post-baseline measurement in the variable being presented.

The registry record does not report the original sample-size justification, the assumptions used in the original design, or whether interim analyses were planned or conducted. Detailed information about randomization procedures, allocation concealment, masking procedures, protocol deviations, and the statistical analysis plan is not reported in the registry record. The posted information identifies a sponsor-reported mixed models analysis for the primary comparison, but it does not give enough detail to reconstruct that model or establish which adjustments it included.

The parallel-group structure means participants were assigned to a treatment group rather than crossing between treatments. The central posted comparison is the difference in average pain severity change at Week 12 between the combined duloxetine arms and placebo. The study also lists secondary outcomes involving diary scores, patient global impression, and Brief Pain Inventory scores. The registry lists 12 outcome measures and 49 analyses overall, while the detailed results considered in this statistical interpretation cover only the posted outcomes represented in the available results.

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: Full Analysis Set Population consisted of all randomized patients who had at least one post-baseline measure of the primary efficacy variable.

Overall Study

StagePlaceboDuloxetine 40 mgDuloxetine 60 mg
STARTED1678686
Full Analysis Set Population1678586
COMPLETED1507372
NOT COMPLETED171314

Reasons for not completing this period:

ReasonPlaceboDuloxetine 40 mgDuloxetine 60 mg
Lack of Efficacy201
Adverse Event9910
Withdrawal by Subject221
Lost to Follow-up001
Entry Criteria Not Met110
Reason Not Specified311

Analysis population for the primary outcome, as defined in the registry: Patients in the Full Analysis Set Population who had a post-baseline measurement in the variable being presented.

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.

CharacteristicUnitPlaceboDuloxetine 40 mgDuloxetine 60 mgTotal
Participants analysed1678586338
Age Continuousyears60.8 (SD 9.2)62.1 (SD 9.3)59.7 (SD 12.1)60.8 (SD 10)
Sex: Female, Male: FemaleParticipants38202482
Sex: Female, Male: MaleParticipants1296562256
Race/Ethnicity, Customized: Japaneseparticipants1678586338
Region of Enrollment: Japanparticipants1678586338
Duration of Diabetes: <5 yearsparticipants33201669
Duration of Diabetes: 5 - 10 yearsparticipants32181464
Duration of Diabetes: >= 10 yearsparticipants974756200
Duration of Diabetes: Unknownparticipants5005
Type of Diabetes: Type Iparticipants85417
Type of Diabetes: Type IIparticipants1598082321
Beck Depression Inventory-II (BDI-II)units on a scale8.8 (SD 6.8)9.4 (SD 8.8)9.4 (SD 7.2)9.1 (SD 7.4)
Body Mass Index (BMI)kilograms/square meters (kg/m^2)23.90 (SD 3.70)23.27 (SD 3.67)24.20 (SD 3.50)23.82 (SD 3.65)
Brief Pain Inventory (BPI) Interference Scores: General Activityunits on a scale4.4 (SD 2.4)4.5 (SD 2.7)4.5 (SD 2.4)4.5 (SD 2.5)
Brief Pain Inventory (BPI) Interference Scores: Moodunits on a scale4.2 (SD 2.4)3.9 (SD 2.5)4.2 (SD 2.5)4.1 (SD 2.5)
Brief Pain Inventory (BPI) Interference Scores: Walking Abilityunits on a scale4.0 (SD 2.6)4.4 (SD 2.8)4.3 (SD 2.5)4.2 (SD 2.6)
Brief Pain Inventory (BPI) Interference Scores: Normal Workunits on a scale3.7 (SD 2.7)3.9 (SD 2.6)4.3 (SD 2.5)3.9 (SD 2.6)
Brief Pain Inventory (BPI) Interference Scores: Relation to Peopleunits on a scale2.6 (SD 2.5)2.7 (SD 2.7)2.9 (SD 2.4)2.7 (SD 2.5)
Brief Pain Inventory (BPI) Interference Scores: Sleepunits on a scale3.9 (SD 2.7)4.0 (SD 2.8)4.3 (SD 2.7)4.0 (SD 2.7)
Brief Pain Inventory (BPI) Interference Scores: Enjoyment of Lifeunits on a scale3.5 (SD 2.5)3.7 (SD 2.7)4.0 (SD 2.5)3.7 (SD 2.6)
Brief Pain Inventory (BPI) Interference Scores: Average of Interference Scoresunits on a scale3.75 (SD 2.15)3.88 (SD 2.25)4.09 (SD 2.13)3.87 (SD 2.17)
Brief Pain Inventory (BPI) Severity Scores: Worst Painunits on a scale6.7 (SD 1.4)6.5 (SD 1.4)6.6 (SD 1.5)6.6 (SD 1.4)
Brief Pain Inventory (BPI) Severity Scores: Least Painunits on a scale4.1 (SD 1.8)4.0 (SD 1.8)4.2 (SD 1.6)4.1 (SD 1.8)
Brief Pain Inventory (BPI) Severity Scores: Average Painunits on a scale5.6 (SD 1.3)5.6 (SD 1.3)5.7 (SD 1.3)5.6 (SD 1.3)
Brief Pain Inventory (BPI) Severity Scores: Pain Right Nowunits on a scale5.1 (SD 1.7)5.2 (SD 1.8)5.3 (SD 1.4)5.2 (SD 1.7)
Duration of Diabetic Neuropathyyears4.21 (SD 4.44)4.58 (SD 3.90)4.16 (SD 3.67)4.29 (SD 4.11)
Heightcentimeters (cm)164.13 (SD 8.65)163.63 (SD 8.78)164.02 (SD 7.32)163.98 (SD 8.34)
Weekly Means of 24-Hour Average Pain, Worst Pain, and Night Pain Diary Scores: Average Pain Scoreunits on a scale5.78 (SD 1.17)5.79 (SD 1.23)5.76 (SD 1.17)5.78 (SD 1.18)
Weekly Means of 24-Hour Average Pain, Worst Pain, and Night Pain Diary Scores: Worst Pain Scoreunits on a scale6.66 (SD 1.25)6.54 (SD 1.33)6.61 (SD 1.33)6.62 (SD 1.29)
Weekly Means of 24-Hour Average Pain, Worst Pain, and Night Pain Diary Scores: Night Pain Scoreunits on a scale5.5 (SD 1.49)5.55 (SD 1.64)5.69 (SD 1.54)5.56 (SD 1.54)
Weightkilograms (kg)64.52 (SD 11.93)62.72 (SD 13.35)65.08 (SD 10.23)64.21 (SD 11.9)

6. Primary Endpoint

The registry lists the primary outcome as Change From Baseline at Week 12 in Average Pain Severity Rating Using Diaries for the Combined Duloxetine Arms (40 mg + 60 mg), measured over Baseline, 12 weeks.

ElementRegistry entry
Result typeLeast Squares Mean
Measure of spreadStandard Error
Unitunits on a scale
Endpoint classificationContinuous Endpoint

The primary endpoint is change from baseline at Week 12 in average pain severity measured using diaries, with the two duloxetine groups combined. Participants rated average pain over the past 24 hours on an 11-point numerical rating scale, from 0, no pain, to 10, pain as severe as you can imagine. The diary ratings were expressed as a weekly mean. A change score compares the Week 12 value with the baseline value, so a more negative change indicates a larger decrease in the recorded score.

This endpoint provides a repeated, patient-reported measure of pain severity over the study period rather than relying on a single retrospective rating at the end. Diary collection can capture ratings across time, while a weekly mean condenses those ratings into a summary for analysis. Those features explain the endpoint’s measurement role; they do not establish that diary responses were complete or free from measurement error. Completion rates and the handling of missing diary entries are not reported in the registry record.

The primary outcome is expressed as a least-squares mean, with a standard error reported for each group. The sponsor’s primary comparison is a least-squares mean difference from a mixed models analysis. The registry identifies the outcome population as Full Analysis Set participants with a post-baseline measurement for the variable being presented. The registry record does not report enough detail to determine how baseline values, repeated measurements, or other covariates were represented in the model.

7. Results Posted in the Registry

Mean difference: Duloxetine 40 mg and 60 mg Combined

-0.86

95% CI: -1.36 to -0.36

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals-3.0-2.6-2.2-1.9-1.5-1.1Placebo (n=167)Duloxetine 40 mg and 60 mg Co… (n=171)units on a scale (95% CI)
Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Duloxetine 40 mg and 60 mg Co…-1.47-1.15-0.84-0.52-0.210.11mean 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 Baseline at Week 12 in Average Pain Severity Rating Score Using DiariesContinuous EndpointMean difference-0.80 (-1.36 to -0.24)130 per arm
Patient Global Impression of Improvement Scale at Week 12 in Combined Duloxetine Arms (40 mg + 60 mg)Continuous EndpointMean difference-0.65 (-0.98 to -0.32)90 per arm
Patient Global Impression of Improvement Scale at Week 12Continuous EndpointMean difference-0.65 (-1.01 to -0.29)80 per arm

Change From Baseline at Week 12 in Average Pain Severity Rating Score Using Diaries

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Duloxetine 40 mgDuloxetine 60 mg-1.59-1.25-0.91-0.57-0.220.12mean difference vs control (95% CI)

Patient Global Impression of Improvement Scale at Week 12 in Combined Duloxetine Arms (40 mg + 60 mg)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Duloxetine 40 mg and 60 mg Co…-1.06-0.83-0.61-0.38-0.150.08mean difference vs control (95% CI)

Patient Global Impression of Improvement Scale at Week 12

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)Duloxetine 40 mgDuloxetine 60 mg-1.10-0.87-0.63-0.39-0.160.08mean difference vs control (95% CI)

The posted secondary results broadly point in the same direction as the primary comparison: the reported diary-based average pain changes are more negative in each duloxetine dose arm than in placebo, and the patient global impression scores are lower in the duloxetine groups than in placebo. The registry’s patient global impression outcome is reported both for the combined duloxetine arms and by dose. These related findings offer context for the primary result but do not change the status of the combined-arm diary outcome as the primary endpoint.

Secondary outcomes address additional aspects of participants’ reported experience, including worst pain, night pain, global impression of improvement, and Brief Pain Inventory severity and interference. The registry lists 12 outcome measures and 49 analyses, and indicates 11 secondary outcomes as posted. The available detailed results include only some of those outcome entries. Where secondary estimates and sponsor analyses are posted, their interpretation remains specific to the measure, time point, population, and comparison stated in the registry.

Secondary analyses can help assess whether the primary finding sits alongside related patterns in other measures. However, they generally carry less confirmatory weight when many outcomes or comparisons are tested. Testing multiple hypotheses can increase the chance of apparently strong results arising without a corresponding underlying effect. The registry record does not report a multiplicity adjustment or a hierarchy for secondary hypotheses, so the posted unadjusted p-values should not be treated as if they were adjusted confirmatory tests.

The registry record also does not report a complete account of which secondary analyses were planned in advance, how all listed outcomes were handled, or whether any analyses were exploratory. Therefore, the secondary results are best regarded as supportive descriptive context rather than independent proof of the primary finding. Their consistency in direction is notable, but it does not remove uncertainty about multiplicity, missing data, or the methods used for each outcome.

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

9. Statistical Interpretation

Clinical Biostats interpretation

At Week 12, the posted least-squares mean change in average pain severity was -2.47 for the combined duloxetine arms and -1.61 for placebo. Both group estimates are decreases from baseline on a scale where lower values indicate less reported pain severity. The difference between the groups is the key comparative result: a change within either arm alone does not isolate the difference associated with treatment assignment.

The sponsor’s mixed models analysis reported a least-squares mean difference of -0.87, with a 95% confidence interval from -1.17 to -0.56 and p < 0.001. The interval lies below zero, so the reported model-based estimate is consistent with a greater decrease in the combined duloxetine arms than in placebo on this endpoint. This is a description of the posted comparison, not a conclusion about clinical importance or a recommendation about treatment.

A simple unadjusted recalculation from the posted group summaries gives a mean difference of -0.86 and an unadjusted p-value of <0.001. That calculation and the sponsor’s model-based result are close in their point estimates, though the methods are not the same. The sponsor analysis uses a mixed models method; the simple recalculation uses group summaries and an approximate pooled standard deviation. The sponsor’s reported model-based analysis is the more relevant analysis to use when describing the trial’s own reported primary comparison.

The outcome describes a combined 40 mg and 60 mg group. It does not identify whether either dose separately accounts for the combined estimate, nor does it test whether the doses differ from one another. Separate posted secondary diary results show decreases in both dose groups, but those analyses should not be treated as a replacement for the prespecified primary comparison. They are secondary results and may be subject to multiplicity and other analysis limitations.

The result is statistically distinguishable from zero under the sponsor’s reported analysis, but statistical evidence alone does not express the size of the effect in terms of patient importance. The registry record does not report a threshold for a clinically important difference or an interpretation linking the scale change to such a threshold. Nor does a confidence interval account for possible bias, missing outcome data, measurement limitations, or multiplicity. The data support describing the posted Week 12 comparison and its precision; broader conclusions require information not reported in the registry record.

10. Statistical Methods Explained

Statistical concepts in this explanation are general unless explicitly attributed to the registry record. The primary endpoint is continuous: it is a numerical score with a meaningful range, rather than a count of events or a yes/no outcome. The registry reports least-squares means, which are model-based group estimates. In general, a least-squares mean is an estimate from a statistical model and may account for features represented in that model. The registry names a mixed models analysis for the primary comparison but does not report enough model detail to state exactly which terms, covariance assumptions, or missing-data assumptions were used.

What does a mean difference express?

A mean difference compares the estimated average outcome in one group with that in another. For this endpoint, the sponsor reported a least-squares mean difference of -0.87 for the combined duloxetine group relative to placebo. Because a lower pain severity score represents a lower rating on the scale, a negative difference indicates a lower estimated change value in the combined duloxetine group. The interpretation needs to keep the outcome definition in view: these are changes from baseline, not the absolute Week 12 scores.

The simple unadjusted recalculation uses the posted arm means and their reported standard errors. It gives a difference of -0.86. This is not the same as reproducing the mixed models analysis. The registry also gives a pooled standard deviation estimate for the recalculation and marks it as approximate. In general, converting standard errors to an approximate standard deviation depends on assumptions about how the summaries were generated and the analysis population. The recalculated comparison is therefore a transparent, summary-statistic comparison, not an independent reconstruction of the sponsor’s full model.

What does a standard error describe?

A standard error describes the estimated sampling variability of an estimate under the assumptions of its method. It is not the spread of individual participant scores. The arm-level standard errors for the primary result are 0.18 in each group. A smaller standard error generally corresponds to a more precise estimate, all else equal. It does not capture every source of uncertainty: for example, it does not automatically address bias from missing data, limitations of outcome measurement, or unreported analysis choices.

How should a confidence interval be read?

The sponsor reported a 95% confidence interval from -1.17 to -0.56 for the primary difference. In general, a confidence interval describes a range of estimates compatible with the data and the assumptions of the statistical method. Its width communicates precision: a narrower interval indicates less sampling uncertainty than a wider interval, on the same scale and under comparable methods. The interval does not mean that 95% of participants had changes within its limits, nor does it assign a 95% probability to the specific fixed effect being inside this one calculated interval.

The sponsor interval does not include zero. In general, when a two-sided confidence interval for a difference excludes zero, that is consistent with a statistically significant difference at the corresponding confidence level under the analysis assumptions. This does not establish clinical importance, eliminate bias, or show that the model assumptions are correct. The registry does not state a clinical importance threshold for this endpoint.

What does a p-value contribute?

The sponsor reported p < 0.001 for the primary mixed models comparison. The unadjusted recalculation reports p < 0.001. In general, a p-value measures how incompatible the observed data, or more extreme data, are with a specified null model, assuming that model and the analysis assumptions hold. 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 the estimated difference.

The p-value for the recalculation is labeled unadjusted. That label matters because the registry lists multiple outcomes and analyses. If many hypotheses are tested, the chance of obtaining at least one small p-value can increase. Whether and how the trial controlled multiplicity is not reported in the registry record. Therefore, the primary result and secondary results should not be treated as if all tests had equal evidential status.

Why can modeling matter?

Mixed models are commonly used for continuous outcomes when data have a structure such as repeated observations or clustering; that is a general explanation, not a claim about the exact structure or specification used in this trial. A model can estimate group differences while accounting for correlations represented in its design. Its validity depends on the model specification, data, and assumptions. The registry’s method name alone does not disclose which observations were included at each time, how within-participant correlations were modeled, or how incomplete data were handled. Those details are not reported in the registry record.

For continuous outcomes, over-dispersion is not the usual framing used for count data. General considerations still include whether the outcome distribution and model assumptions are appropriate, whether residual variability is represented adequately, and whether unusual observations have undue influence. The registry results do not report diagnostic checks or sensitivity analyses, so no conclusion about those checks can be drawn.

In short, the sponsor’s model-based difference is the primary reported inferential result; the unadjusted recalculation is a simpler descriptive cross-check. Neither the p-value nor the interval addresses all possible sources of uncertainty. Model details, multiplicity procedures, and missing-data methods are not reported in the registry record.

11. Confidence Intervals and Precision

The primary sponsor-reported comparison is -0.87, with a 95% confidence interval from -1.17 to -0.56. The interval is entirely below zero and is reasonably informative about the direction of the model-based difference: the values within it all correspond to a more negative change estimate in the combined duloxetine group than in placebo. The interval also gives a range of plausible magnitudes under the mixed models analysis and its assumptions. It is not a range for individual participants’ outcomes.

Precision and statistical significance are related but distinct. The interval excluding zero indicates evidence against a zero difference under the model assumptions, while its width shows that the exact size remains uncertain. A single point estimate should not be read as an exact effect. The interval does not say whether the estimated difference is large enough to matter to patients; a clinically important threshold is not reported in the registry record.

The primary arm standard errors are 0.18 for placebo and 0.18 for the combined duloxetine group. These describe uncertainty in the reported arm means, not the variation in individual ratings. The sponsor’s confidence interval comes from the mixed models analysis, and should be interpreted as model-based. The unadjusted recalculation gives a separate point estimate of -0.86, but it is not a substitute interval or a replication of the sponsor model.

Confidence intervals address sampling uncertainty conditional on the analysis method. They do not automatically include uncertainty about missing observations, the choice of analysis model, measurement quality, outcome reporting, or multiple testing. The registry does not report enough detail to quantify these additional uncertainties. Thus, the interval offers useful precision information for the primary comparison, but it does not exhaust the limits on interpretation.

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 effect117156
75% of the observed effect207277
50% of the observed effect465623
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect1002005001,0002,00040%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, 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: Duloxetine 40 mg and 60 mg Combined.

The sample-size illustration translates the observed primary comparison into hypothetical future-trial planning values. The displayed figures are participants per arm, not total participants and not total events. The calculations assume a two-sided significance level of 0.05, equal allocation between the two arms, and a normal approximation. They use an effect equal to a stated fraction of the observed effect. These are planning assumptions for the illustration; the trial’s own original design assumptions and sample-size justification are not reported in the registry record.

For planning at 100% of the observed effect, the illustration gives 117 participants per arm for 80% power and 156 participants per arm for 90% power. At 75% of the observed effect, it gives 207 participants per arm for 80% power and 277 participants per arm for 90% power. At 50% of the observed effect, it gives 465 participants per arm for 80% power and 623 participants per arm for 90% power. The curve should be read as showing the same planning relationship across effect sizes: as the effect assumed for planning becomes smaller, the required number of participants per arm becomes larger.

In general, 80% power means that, if the assumed effect and statistical assumptions were correct, a study of that planned size would have an 80% chance of meeting the specified statistical significance criterion. The 90% column describes the corresponding chance at the larger target. Power is a design property under assumptions, not a guarantee that a future study will produce a particular result. These values are not observed power for the completed trial. They are illustrative planning calculations based on the observed effect, and they may be optimistic if that estimate is larger than the effect a future study should plan to detect.

13. How the Sample Size Is Derived

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

Formula

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 = -0.860; pooled standard deviation σ = 2.340.
  2. n = 2 × (1.96 + 0.842)2 × 2.3402 / -0.8602 = 116.2, rounded up to 117 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 <- -0.86                      # observed difference in means
sigma <- 2.34016482935955                     # 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(552175)
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 = 117 (80% power), 156 (90% power)
 75% of observed effect: n per arm = 207 (80% power), 277 (90% power)
 50% of observed effect: n per arm = 465 (80% power), 623 (90% power)
power.t.test: 117.2 
Simulated power at n = 117 per arm: 0.803 (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 AnalysisLeast Squares Mean Difference -0.87-1.17 to -0.56< 0.001

The sponsor’s primary analysis is a mixed models analysis with a least-squares mean difference of -0.87, a 95% confidence interval from -1.17 to -0.56, and p < 0.001. This is the trial’s own reported model-based analysis and is the primary result to use when describing the sponsor’s inferential conclusion.

A simple unadjusted recalculation from the posted arm summaries gives a mean difference of -0.86 and p < 0.001. The recalculation is close to the sponsor’s point estimate, but it uses a different method. It is based on the reported group summaries and an approximate pooled standard deviation rather than the sponsor’s mixed model. It does not reproduce adjustments, repeated-measure structure, or other features that may be part of the sponsor’s model; the registry does not provide the model specification needed to establish those details.

The close point estimates are a useful consistency check, not proof that the methods are interchangeable. The sponsor’s confidence interval and p-value belong to the reported mixed models analysis. The recalculation’s unadjusted p-value belongs only to the simpler summary-statistic calculation. The registry record marks no discrepancy, and the sponsor’s own reported analysis remains the appropriate reference for the primary trial result.

15. Multiplicity, Missing Data and Analysis Populations

The registry lists multiple outcome measures and analyses, including several secondary measures and dose-specific comparisons. When many statistical tests are conducted, the probability of observing at least one small p-value can rise even if the hypotheses being tested are all null. General approaches to multiplicity include adjusting significance thresholds, controlling an overall error rate, or specifying a hierarchy of outcomes. The registry record does not report which, if any, approach was used for the primary and secondary analyses. The unadjusted secondary p-values therefore warrant more caution than a single prespecified primary test would ordinarily receive.

The registry names a Full Analysis Set population for the primary endpoint, defined as participants with a post-baseline measurement in the variable being presented. That description makes clear that participants without a post-baseline measurement for the outcome are not represented in that stated population. The registry does not report the numbers missing by group, reasons for missingness, completion rates for diary records, or the method used to address missing observations in the mixed models analysis. It is therefore not possible to judge from the record whether missingness differed between groups or how sensitive estimates might be to alternative assumptions.

The registry also does not report a full statistical analysis plan, the original sample-size justification, interim analysis procedures, or sensitivity analyses for missing data. These omissions limit assessment of whether all analyses followed prespecified plans and how robust the estimates are to analytic choices. They do not, on their own, show that the analyses were inappropriate; they mean that the relevant details cannot be evaluated from the registry record.

Finally, the primary endpoint is patient-reported and diary-based. The registry describes the instrument and scale, but does not report diary completion or validation details beyond that description. Outcome measurement and missingness are distinct concerns: a complete diary may still involve measurement variability, while an incomplete diary creates a separate analysis issue. Both should be considered when interpreting a model-based estimate.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
Placebo61673.6%
Duloxetine 40 mg3853.5%
Duloxetine 60 mg2862.3%
Participants with at least one serious adverse event
Serious adverse events by armPlacebo3.6%Duloxetine 40 mg3.5%Duloxetine 60 mg2.3%% of participants with at least one serious adverse event

Other (non-serious) adverse events

Participants with at least one non-serious event at or above the registry's 4% reporting threshold.

ArmParticipants affected of at risk
Placebo121 of 167
Duloxetine 40 mg71 of 85
Duloxetine 60 mg73 of 86

Most frequent serious adverse event terms

Event termOrgan systemPlaceboDuloxetine 40 mgDuloxetine 60 mg
Hepatic function abnormalHepatobiliary disorders1 of 1670 of 850 of 86
Arthritis bacterialInfections and infestations1 of 1670 of 850 of 86
EpiglottitisInfections and infestations0 of 1670 of 851 of 86
OsteomyelitisInfections and infestations1 of 1670 of 850 of 86
SepsisInfections and infestations1 of 1670 of 850 of 86
Tuberculous pleurisyInfections and infestations1 of 1670 of 850 of 86
Alcohol poisoningInjury, poisoning and procedural complications0 of 1671 of 850 of 86
Back injuryInjury, poisoning and procedural complications1 of 1670 of 850 of 86
ContusionInjury, poisoning and procedural complications0 of 1671 of 850 of 86
Ulna fractureInjury, poisoning and procedural complications0 of 1671 of 850 of 86

Most frequent non-serious adverse event terms

Event termOrgan systemPlaceboDuloxetine 40 mgDuloxetine 60 mg
SomnolenceNervous system disorders14 of 16716 of 8521 of 86
NasopharyngitisInfections and infestations24 of 16710 of 8514 of 86
NauseaGastrointestinal disorders3 of 16710 of 8514 of 86
ConstipationGastrointestinal disorders9 of 1676 of 855 of 86
Aspartate aminotransferase increasedInvestigations6 of 1675 of 858 of 86
DiarrhoeaGastrointestinal disorders6 of 1674 of 857 of 86
Alanine aminotransferase increasedInvestigations6 of 1675 of 855 of 86
White blood cell count increasedInvestigations4 of 1674 of 855 of 86
MalaiseGeneral disorders3 of 1673 of 856 of 86
Blood creatine phosphokinase increasedInvestigations6 of 1676 of 850 of 86

Serious events with the highest arm-level rate: alcohol poisoning (1.2%), contusion (1.2%), ulna fracture (1.2%), hypoglycaemia (1.2%), epiglottitis (1.2%).

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 affecting 6 of 167 participants at risk in the placebo group, 3 of 85 in the duloxetine 40 mg group, and 2 of 86 in the duloxetine 60 mg group. These are group-level counts of participants reported as affected, not a complete account of event timing, duration, severity, or causal attribution. They should be read alongside the number at risk in each group rather than as an isolated count.

The registry also lists the most frequent serious adverse event terms, each reported at 1.2%: alcohol poisoning, contusion, ulna fracture, hypoglycaemia, epiglottitis, and radiculopathy. The provided information does not establish that these events were caused by study treatment. Death counts are not reported in the registry record. The record also does not provide enough safety detail to compare overall adverse-event profiles or to assess statistical uncertainty around these counts.

Serious adverse events are distinct from all adverse events. The registry reports other adverse events affecting 121 of 167 participants in placebo, 71 of 85 in duloxetine 40 mg, and 73 of 86 in duloxetine 60 mg. These counts are descriptive and do not by themselves establish comparative risk, causality, or the clinical meaning of differences between groups. Safety interpretation also depends on event definitions, follow-up, and ascertainment, details not reported in the registry record.

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

The primary result describes a difference in diary-based average pain severity change at Week 12 between the combined duloxetine arms and placebo. The sponsor’s mixed models estimate is -0.87, with a 95% confidence interval from -1.17 to -0.56. The interval lies below zero, and the sponsor reported p < 0.001. These statistics describe the strength and precision of the observed comparison under the reported model; they do not independently establish how important the difference is to participants.

The result does not show the separate primary effect of duloxetine 40 mg or 60 mg, because the primary analysis combines those arms. Nor does it establish that the doses are equivalent or that one dose is better than the other. The secondary dose-specific results are not a substitute for a dedicated dose comparison. The registry record does not report a threshold for a clinically meaningful change, so the numerical result cannot be classified against such a threshold using the information available.

The result also does not resolve uncertainty about missing observations, multiplicity, model specification, or possible measurement limitations. The registry describes the Full Analysis Set as participants with a post-baseline measurement for the presented variable, but details of missing-data handling are not reported. Multiple secondary outcomes are listed, while multiplicity procedures are not reported. These are reasons to keep the interpretation bounded to the posted analysis rather than to treat one p-value as answering every question.

Finally, a registry result is not a complete account of all aspects of a clinical trial. It does not provide all protocol details, participant characteristics, or the full analysis plan in the information. The most defensible statistical statement is that the sponsor-reported Week 12 model estimated a greater decrease in the combined duloxetine group than in placebo, with the stated interval and p-value. This statement is descriptive of the posted data and is not medical advice or a recommendation about treatment.

18. Why This Trial Matters Statistically

This trial illustrates why the estimated group difference, its confidence interval, and the analysis method should be read together. A pair of arm means describes each group, but the contrast between groups is the direct comparison relevant to the randomized design. The sponsor’s reported contrast is accompanied by a confidence interval, which makes the uncertainty in the estimated difference more visible than a p-value alone.

It also illustrates that two analyses of the same outcome can be similar in point estimate while answering through different statistical procedures. The unadjusted recalculation from summaries is close to the sponsor’s mixed models estimate, but it does not reproduce the model. Distinguishing these methods prevents a simple calculation from being mistaken for the trial’s full analysis and clarifies why the sponsor-reported result is the primary inferential reference.

The combined-dose primary endpoint is another important interpretive feature. It provides an estimate for the two duloxetine arms together, while not establishing a separate primary effect for either dose. Related secondary results may add context, but multiple testing and the lack of reported multiplicity procedures limit how strongly they can confirm the primary result.

Finally, the planning illustration demonstrates how sample-size requirements depend on the effect size a future study aims to detect. The values are hypothetical planning outputs based on the observed comparison, not evidence about the completed trial’s power. Together, these features show why statistical significance, precision, analysis assumptions, endpoint structure, and planning assumptions answer different questions and should not be collapsed into a single verdict.

19. Limitations

The registry record does not report the original sample-size justification, so the planning assumptions behind enrollment cannot be assessed. The sample-size illustration is based on the observed effect and specified general assumptions, not on the trial’s documented design calculation. The record also does not report the detailed randomization or masking procedures, participant characteristics, eligibility criteria, or a complete protocol in the information.

For the primary result, the registry names a mixed models analysis but does not provide its full specification, including the exact model terms, covariance structure, or approach to incomplete observations. The primary population is described as Full Analysis Set participants with a post-baseline measurement, but missing counts, reasons, and sensitivity analyses are not reported. These gaps limit independent evaluation of the model-based estimate and its robustness.

There are numerous listed outcomes and analyses. The registry record does not report a multiplicity strategy, prespecified hierarchy, or enough information to distinguish all confirmatory from exploratory analyses. Consequently, secondary p-values should be interpreted cautiously. The record lists several secondary outcomes, but detailed results represented in the available information do not cover every listed outcome.

The primary outcome is based on self-reported diary ratings. The registry explains the scale and the weekly mean but does not report diary completion, adherence, or measurement-performance results. The clinical importance threshold for the score change is also not reported. Thus, the statistical evidence can be described, but the degree of patient importance cannot be determined from the registry results alone.

The safety information is limited to counts of participants affected and selected serious event terms. Death counts are not reported in the registry record, and the information does not establish causality or provide a complete assessment of event timing and severity. These registry-specific gaps narrow the conclusions that can be drawn from the posted results.

20. Related Tutorials

21. Related Statistical Calculators

22. Sources

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23. Record Summary

NCT00552175 is a completed phase 3 randomized, quadruple-masked, parallel-group study sponsored by Eli Lilly and Company. The registry reports enrollment of 339 participants, a start date of 2007-11, and primary completion in 2009-03. The study compared duloxetine 40 mg and 60 mg with placebo in patients with diabetic peripheral neuropathic pain.

The primary outcome was change from baseline at Week 12 in diary-based average pain severity, analyzed for the combined duloxetine arms versus placebo. The sponsor reported a mixed models least-squares mean difference of -0.87, with a 95% confidence interval from -1.17 to -0.56 and p < 0.001. A simple unadjusted recalculation gave -0.86 with p < 0.001. The registry also reports secondary outcome results and adverse-event counts, but important details about multiplicity, missing-data handling, the full model specification, and the original sample-size design are not reported in the registry record.

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