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 of Lebrikizumab in Adolescent Participants With Uncontrolled Asthma Who Are on Inhaled Corticosteroids and a Second Controller Medication (NCT01875003), a randomized phase 3 study. The primary outcome is Rate of Asthma Exacerbations During 52-Week Placebo Controlled Period.
| Feature | Registry value |
|---|---|
| ClinicalTrials.gov identifier | NCT01875003 |
| Phase | Phase 3 |
| Condition | Asthma |
| Allocation | Randomized |
| Design model | Parallel |
| Masking | Double |
| Enrollment | 346 |
| Arms in the primary outcome | 3 |
| Lead sponsor | Hoffmann-La Roche |
| Results posted | Yes |
2. Clinical Question
Population
Adolescent participants with asthma that remained uncontrolled while they were receiving inhaled corticosteroids and a second controller medication. The registry describes inhaled corticosteroid doses of 500-2000 micrograms of fluticasone propionate dry powder inhaler or equivalent in the arm descriptions.
Intervention
Subcutaneous lebrikizumab, at the 37.5 mg or 125 mg dose, administered every 4 weeks during the 52-week placebo-controlled period alongside standard-of-care therapy. The study description also includes an optional active-treatment extension.
Comparator
Matching placebo administered every 4 weeks during the 52-week placebo-controlled period, alongside standard-of-care therapy. The registry describes a randomized, double-blind, placebo-controlled comparison.
Primary question
How did the adjusted rate of asthma exacerbations during the 52-week placebo-controlled period compare between each lebrikizumab dose group and placebo? An exacerbation was defined by new or increased asthma symptoms leading to systemic corticosteroid treatment or hospitalization.
The primary endpoint expresses exacerbations as events per patient year, so it relates the number of events to the follow-up time contributed by participants. The registry reports adjusted rate ratios for each dose versus placebo, estimated using a Poisson regression model in the ITT population. This is a rate comparison, not a comparison of the proportion of participants who experienced an exacerbation.
The registry record lists an enrollment of 346 and a terminated study status. It does not report why the trial was terminated or whether termination affected the analysis. The results therefore describe the posted endpoint and analyses, rather than establishing why the study ended or what its planned completion would have been.
3. Trial Design
This was a Phase III, randomized, double-blind, parallel-group, placebo-controlled study sponsored by Hoffmann-La Roche. It enrolled adolescents with uncontrolled asthma who were taking inhaled corticosteroids and a second controller medication. The registry describes standard-of-care therapy as continuing alongside study treatment. The overall enrollment was 346.
Participants were assigned to lebrikizumab at a high or low dose, or placebo. The brief summary states that assignment was in a 1:1:1 ratio. During the 52-week placebo-controlled period, study treatment was administered subcutaneously every 4 weeks. The primary endpoint timeframe was baseline up to Week 52. The reported primary analysis used the ITT population.
The study description includes an optional 52-week double-blind active-treatment extension, with anticipated time on study treatment up to 104 weeks. Participants completing the study to Week 104, stopping early, or not entering the optional extension were to transition to a 20-week safety follow-up period. These are features described in the study summary; the posted primary outcome concerns the placebo-controlled period rather than the optional extension.
The registry lists a start date of 2013-08-13, a primary completion date of 2016-12-28, and a terminated status. The reason for termination, the timing of termination relative to the analyses, and whether the status changed the outcome collection are not reported in the registry record. The registry record also does not report the original sample-size justification, the detailed randomization procedure, or the full statistical analysis plan. The allocation ratio and design labels describe the recorded study design, but do not supply these missing operational details.
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: A total of 579 participants were screened for the study of which 346 were randomized and received at least one dose of study drug.
Overall Study
| Stage | Placebo | Lebrikizumab 37.5 mg | Lebrikizumab 125 mg | Placebo/Lebrikizumab 37.5 mg | Placebo/Lebrikizumab 125 mg |
|---|---|---|---|---|---|
| STARTED | 56 | 113 | 116 | 30 | 31 |
| COMPLETED | 0 | 30 | 31 | 16 | 14 |
| NOT COMPLETED | 56 | 83 | 85 | 14 | 17 |
Reasons for not completing this period:
| Reason | Placebo | Lebrikizumab 37.5 mg | Lebrikizumab 125 mg | Placebo/Lebrikizumab 37.5 mg | Placebo/Lebrikizumab 125 mg |
|---|---|---|---|---|---|
| Study Terminated by Sponsor | 35 | 61 | 66 | 9 | 13 |
| Withdrawal by Subject | 16 | 13 | 5 | 4 | 1 |
| Lost to Follow-up | 4 | 0 | 1 | 0 | 0 |
| Adverse Event | 1 | 2 | 2 | 0 | 0 |
| Physician Decision | 0 | 2 | 1 | 0 | 0 |
| Missing | 0 | 4 | 9 | 1 | 2 |
| Other | 0 | 1 | 1 | 0 | 0 |
| Pregnancy | 0 | 0 | 0 | 0 | 1 |
Analysis population for the primary outcome, as defined in the registry: Adjusted exacerbation rate estimated from a Poisson regression model was reported. Analysis was performed on ITT population.
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 intent-to-treat (ITT) population included all randomized participants who received at least one dose of study medication or have any post-baseline efficacy data.
| Characteristic | Unit | Placebo | Lebrikizumab 37.5 mg | Lebrikizumab 125 mg | Total |
|---|---|---|---|---|---|
| Participants analysed | 117 | 113 | 116 | 346 | |
| Age, Continuous | years | 14.1 (SD 1.7) | 14.2 (SD 1.5) | 14.2 (SD 1.6) | 14.2 (SD 1.6) |
| Sex: Female, Male: Female | Participants | 49 | 43 | 59 | 151 |
| Sex: Female, Male: Male | Participants | 68 | 70 | 57 | 195 |
| Ethnicity (NIH/OMB): Hispanic or Latino | Participants | 39 | 42 | 33 | 114 |
| Ethnicity (NIH/OMB): Not Hispanic or Latino | Participants | 77 | 71 | 81 | 229 |
| Ethnicity (NIH/OMB): Unknown or Not Reported | Participants | 1 | 0 | 2 | 3 |
| Race (NIH/OMB): American Indian or Alaska Native | Participants | 3 | 1 | 1 | 5 |
| Race (NIH/OMB): Asian | Participants | 3 | 3 | 3 | 9 |
| Race (NIH/OMB): Native Hawaiian or Other Pacific Islander | Participants | 0 | 0 | 0 | 0 |
| Race (NIH/OMB): Black or African American | Participants | 9 | 13 | 13 | 35 |
| Race (NIH/OMB): White | Participants | 84 | 75 | 74 | 233 |
| Race (NIH/OMB): More than one race | Participants | 0 | 1 | 1 | 2 |
| Race (NIH/OMB): Unknown or Not Reported | Participants | 18 | 20 | 24 | 62 |
| Age group (years): 12 to 14 | Participants | 71 | 64 | 67 | 202 |
| Age group (years): 15 to 17 | Participants | 46 | 49 | 49 | 144 |
| Baseline Use of Inhaled Corticosteroid (ICS) and Long-Acting Beta-Agonist (LABA): ICS < 1000 µg/day or no LABA | Participants | 87 | 88 | 88 | 263 |
| Baseline Use of Inhaled Corticosteroid (ICS) and Long-Acting Beta-Agonist (LABA): ICS >= 1000 µg/day and LABA | Participants | 30 | 25 | 28 | 83 |
| Number of Asthma Exacerbations in Last 12 Months | Asthma Exacerbations | 1.6 (SD 2.1) | 1.4 (SD 1.9) | 1.7 (SD 1.9) | 1.6 (SD 1.9) |
6. Primary Endpoint
The registry lists the primary outcome as Rate of Asthma Exacerbations During 52-Week Placebo Controlled Period, measured over Baseline up to Week 52.
| Element | Registry entry |
|---|---|
| Result type | Number |
| Measure of spread | not applicable |
| Unit | events per patient year |
| Endpoint classification | Event-Rate Endpoint |
The primary endpoint was the rate of asthma exacerbations during the 52-week placebo-controlled period, expressed as events per patient year. The registry defines an exacerbation as new or increased asthma symptoms, including wheeze, cough, dyspnea, chest tightness, or night-time awakening due to these symptoms, that lead to systemic corticosteroid treatment or hospitalization. Systemic corticosteroid treatment included oral, intravenous, or intramuscular corticosteroids for at least 3 days, or an emergency department visit with at least 1 dose of intravenous or intramuscular corticosteroids.
The rate is defined in the registry as the total number of exacerbation events divided by total follow-up time in patient years. Using exposure time matters because participants may contribute different amounts of follow-up. A rate therefore incorporates both the number of events and the time over which those events could be observed. It is not the same quantity as the risk or percentage of participants with at least one exacerbation: one participant may have more than one event, and the denominator is follow-up time rather than simply the number of participants.
The registry reports adjusted exacerbation rates estimated from a Poisson regression model, with analysis performed on the ITT population. The primary comparison is summarized as a rate ratio against placebo for each lebrikizumab dose. A rate ratio below 1 indicates a lower estimated event rate in the lebrikizumab group relative to placebo within that comparison. This statistical description does not by itself establish the reason for any difference or whether the result should guide an individual treatment decision.
7. Results Posted in the Registry
- Lebrikizumab 37.5 mg: 0.26 versus 0.43 (events per patient year) on control; rate ratio 0.60 (95% CI 0.38–0.95, approximate, Poisson model); p ≈ 0.031.
- Lebrikizumab 125 mg: 0.21 versus 0.43 (events per patient year) on control; rate ratio 0.49 (95% CI 0.30–0.79, approximate, Poisson model); p ≈ 0.004.
Rate ratio: Lebrikizumab 37.5 mg
95% CI: 0.38 to 0.95
Recalculated from the posted summary statistics
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 outcome | Type | Effect measure | Estimate (95% CI) | Planning size, 80% power |
|---|---|---|---|---|
| Percent Change From Baseline in Pre-Bronchodilator Forced Expiratory Volume in 1 Second (FEV1) at Week 52 | Continuous Endpoint | Mean difference | 6.00 (5.02 to 6.98) | 4 per arm |
| Absolute Change From Baseline in Pre-Bronchodilator FEV1 at Week 52 | Continuous Endpoint | Mean difference | 198.00 (49.70 to 346.30) | 84 per arm |
| Time to First Asthma Exacerbation | Time-to-Event Analysis | Hazard ratio | 0.40 (0.22 to 0.73) | 38 events |
Percent Change From Baseline in Pre-Bronchodilator Forced Expiratory Volume in 1 Second (FEV1) at Week 52
- Endpoint type: Continuous: a mean value per participant, compared as a difference in means.
- Test: Unadjusted two-sample z-test for the difference in means, using the posted standard deviations.
- Result:
- Lebrikizumab 37.5 mg: mean 25.00 versus 19.00 on control; difference 6.00 (95% CI 5.02 to 6.98), standardized effect d = 2.00; z-test p = <0.001.
- Lebrikizumab 125 mg: mean 20.00 versus 19.00 on control; difference 1.00 (95% CI 0.00 to 2.00), standardized effect d = 0.33; z-test p = 0.049.
- Interpretation:
- The 95% confidence interval excludes no difference, so the mean is statistically higher for Lebrikizumab 37.5 mg than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
- The 95% confidence interval excludes no difference, so the mean is statistically higher for Lebrikizumab 125 mg than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
Absolute Change From Baseline in Pre-Bronchodilator FEV1 at Week 52
- Endpoint type: Continuous: a mean value per participant, compared as a difference in means.
- Test: Unadjusted two-sample z-test for the difference in means, using the posted standard errors.
- Result:
- Lebrikizumab 37.5 mg: mean 568.00 versus 370.00 on control; difference 198.00 (95% CI 49.70 to 346.30), standardized effect d = 0.43; z-test p = 0.009.
- Lebrikizumab 125 mg: mean 423.00 versus 370.00 on control; difference 53.00 (95% CI -96.68 to 202.68), standardized effect d = 0.12; z-test p = 0.488.
- Interpretation:
- The 95% confidence interval excludes no difference, so the mean is statistically higher for Lebrikizumab 37.5 mg than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
- The 95% confidence interval includes no difference, so these data do not show a statistically significant difference between Lebrikizumab 125 mg and the control. The interval gives the range of effects that remain compatible with the data.
Time to First Asthma Exacerbation
- Endpoint type: Time to event: compared as a hazard ratio.
- Test: Hazard ratio as reported by the sponsor; it was not recalculated.
- Result:
- Placebo vs Lebrikizumab 37.5 mg: hazard ratio 0.40 (95% CI 0.22–0.73) (as reported in the registry).
- Placebo vs Lebrikizumab 125 mg: hazard ratio 0.37 (95% CI 0.21–0.66) (as reported in the registry).
- Interpretation:
- The 95% confidence interval excludes no difference (a ratio of 1), so the hazard of the event is statistically lower for Placebo vs Lebrikizumab 37.5 mg than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
- The 95% confidence interval excludes no difference (a ratio of 1), so the hazard of the event is statistically lower for Placebo vs Lebrikizumab 125 mg than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
The secondary endpoints broaden the assessment beyond the primary exacerbation rate. They include pre-bronchodilator FEV1 changes, time to first asthma exacerbation, FeNO, asthma-related quality of life, rescue medication use, urgent health-care utilization, and injection acceptability. The registry reports results for some of these measures, while not all listed secondary outcomes have posted results in the record.
Across the reported secondary outcomes, the pattern is not uniform across dose groups or outcome types. Some posted comparisons have intervals that do not include the relevant null value, while others include it. Continuous measures and time-to-event outcomes also use different scales and statistical summaries, so their estimates cannot be combined into one overall treatment effect. They provide supporting context for the primary endpoint rather than a direct replication of it.
For time to first exacerbation, the registry posts hazard ratios of 0.40 for placebo versus lebrikizumab 37.5 mg and 0.37 for placebo versus lebrikizumab 125 mg, each with a reported 95% confidence interval. Group-specific median times are not reported. FEV1 comparisons include sponsor-reported adjusted mean differences as well as simple recalculations from posted summary values. The adjusted and unadjusted results are different types of analysis and should not be conflated.
Secondary outcomes usually involve several endpoints, doses, and analyses. When many comparisons are considered, the chance of at least one apparently notable result arising by chance can increase unless the analysis addresses multiplicity. Whether and how multiplicity was handled is not reported in the registry record. For that reason, unadjusted secondary results carry less weight than a prespecified primary result and should be treated as exploratory or supportive unless the trial’s analysis plan establishes otherwise. That plan is not reported in the registry record. Missing outcome values and differing analysis populations may also affect comparability; the registry does not fully report these details for all secondary measures.
Secondary outcomes registered for this trial, for reference (only those above were recalculated):
- Percent Change From Baseline in Pre-Bronchodilator Forced Expiratory Volume in 1 Second (FEV1) at Week 52
- Absolute Change From Baseline in Pre-Bronchodilator FEV1 at Week 52
- Time to First Asthma Exacerbation
- Change From Baseline in Fractional Exhaled Nitric Oxide (FeNO) at Week 52
- Change From Baseline in Standardized Asthma Quality of Life Questionnaire for 12 Years and Older (AQLQ+12) Overall Score at Week 52
- Change From Baseline in Asthma Rescue Medication Use at Week 52
- Rate of Urgent Asthma-Related Health Care Utilization (HCU) Events
- Injection Acceptability Questionnaire (IAQ) Score
9. Statistical Interpretation
For the primary endpoint, the posted adjusted rates were 0.43 events per patient year for placebo, 0.26 for lebrikizumab 37.5 mg, and 0.21 for lebrikizumab 125 mg. These are the registry’s arm-level adjusted rate estimates. The sponsor-reported adjusted rate ratio was 0.60 for lebrikizumab 37.5 mg versus placebo, with a 95% confidence interval from 0.35 to 1.03. For lebrikizumab 125 mg versus placebo, the adjusted rate ratio was 0.49, with a 95% confidence interval from 0.28 to 0.83. The registry does not provide a p-value for either sponsor-reported primary comparison.
The interval for the 37.5 mg comparison includes 1, so the posted interval is compatible with values on both sides of no rate ratio difference. The interval for the 125 mg comparison lies below 1. An interval describes uncertainty around an estimate; it is not a guarantee that the true effect lies within it, nor does it indicate the probability that a hypothesis is true. The registry lists both analyses as superiority comparisons, but the statistical plan and any decision rules are not reported in the registry record.
Simple unadjusted recalculations from the posted arm-level rates give rate ratios of 0.605 for 37.5 mg versus placebo and 0.488 for 125 mg versus placebo. Their recalculated intervals are 0.383 to 0.954 and 0.301 to 0.793, respectively. These are not the sponsor’s adjusted estimates or intervals. The recalculated unadjusted p-values are 0.031 and 0.004, respectively; they should not be substituted for missing sponsor-reported p-values, or treated as the trial’s original inferential analysis. The registry reports no discrepancy flag, and the sponsor-reported adjusted analyses remain the relevant posted trial analyses.
The endpoint’s exposure-time denominator and regression adjustment distinguish these results from a raw comparison of participant counts. The registry does not report the covariates used for adjustment, the model diagnostics, or how recurrent events were handled beyond identifying the adjusted Poisson regression model. Those omissions limit independent assessment of the analysis. Also, the trial status is terminated, but the reason and its implications for the results are not reported in the registry record.
Secondary outcome results include measures of lung function, time to first exacerbation, and other asthma-related measures. They provide additional context, but multiple outcomes and comparisons make isolated secondary findings less conclusive, particularly when the registry does not report the multiplicity plan. The primary result should therefore be read alongside its confidence intervals, the specific outcome definition, the reported analysis population, and the missing details about the statistical plan. These trial results describe group-level estimates; they do not establish what an individual participant would experience.
10. Statistical Methods Explained
The primary outcome is an event rate, rather than a continuous measurement or a simple event/no-event outcome. The registry defines the rate as total exacerbation events divided by total follow-up time in patient years. This structure is useful when participants contribute varying follow-up time and when the endpoint can include recurrent events. The rate ratio compares the estimated event rate in a lebrikizumab group with the estimated rate in placebo. A rate ratio of 1 represents equal estimated rates; a value below 1 represents a lower estimated rate in the numerator group relative to the comparator.
Why use a rate model?
Poisson regression is a general method for modeling event counts in relation to exposure time and explanatory variables. In a rate analysis, follow-up time can be incorporated so that participants who are observed for different durations are not treated as though they had identical time at risk. The registry says that the adjusted exacerbation rate was estimated using a Poisson regression model. It does not report the model’s covariates, link function details, assumptions checks, or the approach used to address any over-dispersion.
Over-dispersion is a general concern when event counts vary more than a simple Poisson model expects. If present and not addressed, uncertainty estimates can be too small. This is a general statistical consideration, not a claim that over-dispersion occurred in this trial. Whether it was assessed or accommodated is not reported in the registry record.
What does adjustment mean?
In general, an adjusted model estimates a treatment contrast while accounting for other variables included in the model. Adjustment can affect both the estimate and its uncertainty. The term “adjusted” appears in the registry’s primary outcome description and sponsor-reported rate ratios, but the variables and details of the adjustment are not reported in the registry record. The posted adjusted results therefore cannot be fully reconstructed from the arm-level rates alone.
Unadjusted recalculations are separate, simple comparisons based on posted summary statistics. For the primary endpoint, the recalculated rate ratios are 0.605 and 0.488, with recalculated confidence intervals of 0.383 to 0.954 and 0.301 to 0.793. Those calculations do not reproduce the sponsor’s adjustment, and they should be viewed as an independent descriptive check rather than a replacement for the registry’s reported analysis. The sponsor-reported adjusted estimates are 0.60 and 0.49.
How should the confidence interval be read?
A confidence interval communicates uncertainty in an estimate under the statistical method used. In general, a wider interval indicates less precision, while a narrower interval indicates greater precision. For a rate ratio, the null comparison is 1. If an interval includes 1, its range includes no rate ratio difference; if it lies entirely below 1, its range is consistent with a lower estimated rate in the treatment group across the interval. The sponsor-reported 95% interval for 37.5 mg is 0.35 to 1.03, and for 125 mg it is 0.28 to 0.83. These intervals should be interpreted with the adjustment and analysis details in mind, which are not fully reported.
A confidence interval is not a range that captures every possible value, and it is not a statement that the treatment effect has a particular probability of being within the interval. It summarizes the variability expected from repeated use of the method under its assumptions. The registry does not provide a primary p-value, so no sponsor-reported p-value should be inferred from the listed intervals.
What other statistical summaries are posted?
Secondary outcomes use different types of summaries. The registry posts mean changes for FEV1 outcomes and hazard ratios for time to first asthma exacerbation. A mean difference compares average values, while a hazard ratio compares event hazards over time under the survival-analysis framework. These are not interchangeable with the primary rate ratio. Their interpretation depends on their outcome definitions, analysis models, and reported uncertainty.
Some secondary analyses are available as arm-level values and sponsor-reported adjusted comparisons. The re-calculated mean differences are unadjusted calculations from the posted summaries, whereas sponsor-reported differences are adjusted means. A median time outcome may be unreported for the individual groups even when a hazard ratio comparison is posted. The registry’s reported values should be kept distinct from derived summaries, and the registry record does not report enough methodological detail to reproduce all adjusted secondary analyses.
The reported primary analysis population is ITT. In general, an intention-to-treat population retains participants according to their randomized assignment for analysis, but the exact population definition, exclusions, and handling of missing observations are not reported in the registry record. The outcome-specific analysis populations may also differ; the registry identifies the primary analysis population but does not give a complete account of analysis populations for every posted outcome.
11. Confidence Intervals and Precision
The sponsor-reported adjusted rate ratio for lebrikizumab 37.5 mg versus placebo is 0.60, with a 95% confidence interval from 0.35 to 1.03. For lebrikizumab 125 mg versus placebo, the estimate is 0.49, with a 95% confidence interval from 0.28 to 0.83. These intervals show the range of effect estimates compatible with the posted analysis at the stated confidence level under its statistical assumptions. The interval for 37.5 mg includes the null rate ratio of 1; the interval for 125 mg does not.
Precision is distinct from the point estimate. The point estimate gives one summary value, while the interval communicates uncertainty around that value. Neither interval establishes that the estimate is exact, and neither describes the range of outcomes for individual participants. The registry does not report p-values for the sponsor’s primary comparisons, nor does it provide enough model detail to assess all sources of uncertainty independently.
The recalculated unadjusted intervals are 0.383 to 0.954 for 37.5 mg and 0.301 to 0.793 for 125 mg. They differ from the sponsor-reported adjusted intervals, as expected when calculations use posted arm-level rates rather than the adjusted analysis. These recalculations are not the sponsor’s primary inference. The sponsor-reported estimates and intervals should be used to describe the registered adjusted analyses.
Precision also depends on the amount of information contributing to an outcome. The primary arm counts listed are 117 for placebo, 113 for lebrikizumab 37.5 mg, and 116 for lebrikizumab 125 mg. These are not necessarily the number of participants with complete data for every secondary outcome. The secondary FEV1 summaries use smaller listed analysis groups, and the registry record does not report the reasons for outcome-specific availability or the effects of missing observations.
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 detect | Participants per arm, 80% power | Participants per arm, 90% power |
|---|---|---|
| 100% of the observed effect | 193 | 258 |
| 75% of the observed effect | 317 | 424 |
| 50% of the observed effect | 662 | 886 |
The sample-size illustrations use the observed effect as a starting point and show planning values for detecting the full observed effect, 75% of the observed effect, or 50% of the observed effect. For the primary rate endpoint and continuous outcomes, the entries are participants per arm. For time-to-event comparisons, the entries are total events, not participants per arm. The distinction matters: an event target does not state how many participants must be enrolled, because the number of events depends on follow-up and event occurrence.
The stated planning assumptions are a two-sided significance level of 0.05, equal allocation between the two arms, and a normal approximation. The time-to-event illustrations use the Schoenfeld approach. These calculations are planning illustrations based on observed effects, not the original trial’s design assumptions; those original assumptions are not reported in the registry record.
The 80% power column gives the illustrative number of participants per arm, or total events for time-to-event analyses, associated with an 80% chance of detecting the specified effect under the stated assumptions if that effect were the true effect. The 90% column expresses the corresponding planning target for a higher chance of detection. These percentages describe hypothetical design properties, not the probability that a result is correct or that a treatment effect exists.
Smaller effects require more information to distinguish them from random variation. Accordingly, planning for 75% or 50% of the observed effect generally requires more participants per arm or more total events than planning for the full observed effect. The displayed values are not observed power; they are illustrations of sample-size or event requirements under the stated assumptions. They should not be read as proof that the terminated trial was adequately or inadequately sized, because the registry does not report the original sample-size justification.
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 is the number of participants in each arm, λ0 and λ1 are event rates per patient-year, and T is follow-up per participant in years. This assumes Poisson counts and equal follow-up.
Worked calculation for this trial
- Control rate λ0 = 0.4300; treatment rate λ1 = 0.2600 events per patient-year; follow-up T = 1.00 years.
- n = (1.96 + 0.842)2 × (1/0.4300 + 1/0.2600) / (1.00 × [ln(0.605)]2) = 192.0, rounded up to 193 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
lambda0 <- 0.43 # control rate, events per patient-year
lambda1 <- 0.26 # treatment rate
tt <- 0.996550402453047 # follow-up per participant, years
n_per_arm <- function(power, frac = 1) {
l1 <- lambda0 * (lambda1 / lambda0)^frac # smaller effect = fraction of the observed log rate ratio
ceiling(round((z_a + qnorm(power))^2 * (1 / lambda0 + 1 / l1) / (tt * log(l1 / lambda0)^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 = ",")))
# Simulation 1: Poisson counts. Simulation 2: over-dispersed counts (variance = 1.5 x mean), analysed with the matching variance.
set.seed(1875003)
n <- n_per_arm(0.80)
reps <- 20000
m0 <- lambda0 * n * tt; m1 <- lambda1 * n * tt
x0 <- rpois(reps, m0); x1 <- rpois(reps, m1)
z <- log(x1 / x0) / sqrt(1 / x0 + 1 / x1)
cat(sprintf("Simulated power, Poisson counts, n = %s per arm: %.3f\n", format(n, big.mark = ","), mean(abs(z) > z_a, na.rm = TRUE)))
phi <- 1.5
y0 <- rnbinom(reps, mu = m0, size = m0 / (phi - 1)); y1 <- rnbinom(reps, mu = m1, size = m1 / (phi - 1))
z2 <- log(y1 / y0) / sqrt(phi * (1 / y0 + 1 / y1))
cat(sprintf("Simulated power, over-dispersed counts (phi = 1.5), same n: %.3f\n", mean(abs(z2) > z_a, na.rm = TRUE)))
Output from running the code
100% of observed effect: n per arm = 193 (80% power), 258 (90% power)
75% of observed effect: n per arm = 317 (80% power), 424 (90% power)
50% of observed effect: n per arm = 662 (80% power), 886 (90% power)
Simulated power, Poisson counts, n = 193 per arm: 0.812
Simulated power, over-dispersed counts (phi = 1.5), same n: 0.641
The first simulation draws Poisson counts and should land close to the target power. The second allows extra variability (variance 1.5 times the mean, a purely illustrative value), which lowers the power at the same sample size, so rate trials usually need more participants than the Poisson formula suggests.
14. Analyses Reported by the Sponsor
| Method | Estimate | 95% CI | P-value |
|---|---|---|---|
| not stated | Adjusted Rate Ratio 0.60 | 0.35 to 1.03 | not reported |
| not stated | Adjusted Rate Ratio 0.49 | 0.28 to 0.83 | not reported |
The registry’s sponsor-reported primary analyses are adjusted rate ratios: 0.60 for lebrikizumab 37.5 mg versus placebo, with a 95% confidence interval of 0.35 to 1.03; and 0.49 for lebrikizumab 125 mg versus placebo, with a 95% confidence interval of 0.28 to 0.83. The sponsor-reported analyses do not include p-values in the registry record.
Simple recalculations from the posted arm-level rates produce unadjusted rate ratios of 0.605 and 0.488. Their intervals are 0.383 to 0.954 and 0.301 to 0.793. These estimates are close to the sponsor’s rounded point estimates, but their intervals are not identical. This is not an inconsistency to resolve by choosing the more favorable result: the recalculations use a simple unadjusted approach, while the registry identifies the sponsor’s outcome as adjusted and based on Poisson regression.
The recalculated p-values, 0.031 for 37.5 mg and 0.004 for 125 mg, are not sponsor-reported p-values and should not be presented as such. The registry’s sponsor-reported analysis is the appropriate source for describing the trial’s adjusted primary result. The adjustment variables and detailed model specification are not reported in the registry record, so the posted adjusted estimates cannot be independently reproduced from the summaries alone.
15. Multiplicity, Missing Data and Analysis Populations
The registry lists 10 outcome measures and 16 analyses. The primary outcome has two dose-versus-placebo comparisons, and the secondary outcomes include multiple measurements and comparisons. Examining several outcomes creates a multiplicity issue: the more statistical comparisons made, the greater the chance that some results appear unusual through random variation alone. General approaches include defining a primary comparison in advance, adjusting significance thresholds, or treating secondary analyses as exploratory. Which approach was planned or applied in this trial is not reported in the registry record.
The registry labels the primary comparisons as superiority analyses and reports 95% confidence intervals, but it does not report the full statistical analysis plan, a hierarchy of endpoints, adjustment for multiple comparisons, interim analyses, or stopping rules. Their presence or absence should not be inferred from the posted results. The sponsor-reported primary p-values are also not reported in the registry record. Recalculated p-values from posted summary rates are unadjusted and do not reveal whether the sponsor’s analysis accounted for multiplicity.
The primary outcome description identifies the ITT population. The exact ITT definition, any exclusions, and handling of participants without endpoint data are not reported in the registry record. The registry also does not provide a complete outcome-by-outcome account of analysis populations, missingness, or imputation. Secondary FEV1 summaries have listed analysis counts that differ from the primary arm counts, but the reasons for that availability are not reported. A group-level summary cannot establish whether missing observations were balanced or whether missingness affected the estimates.
These omissions matter because confidence intervals and p-values depend on the analysis population and model. The adjusted model covariates, detailed handling of recurrent events, sensitivity analyses, and diagnostics are not reported. The study is listed as terminated, but the reason for termination and whether it influenced follow-up, data collection, or analytic decisions are not reported in the registry record. These gaps limit assessment of how robust the findings are to alternative analysis choices.
16. Safety Results
The registry reports serious adverse events as affected participants divided by participants at risk.
| Arm | Participants with serious adverse events | Participants at risk | Percentage |
|---|---|---|---|
| Placebo | 3 | 56 | 5.4% |
| Lebrikizumab 37.5 mg | 6 | 113 | 5.3% |
| Lebrikizumab 125 mg | 8 | 116 | 6.9% |
| Placebo/ Lebrikizumab 37.5 mg | 3 | 30 | 10.0% |
| Placebo/ Lebrikizumab 125 mg | 4 | 31 | 12.9% |
Deaths
| Arm | Deaths (participants affected of at risk) |
|---|---|
| Placebo | 0 of 56 |
| Lebrikizumab 37.5 mg | 0 of 113 |
| Lebrikizumab 125 mg | 0 of 116 |
| Placebo/ Lebrikizumab 37.5 mg | 0 of 30 |
| Placebo/ Lebrikizumab 125 mg | 0 of 31 |
Other (non-serious) adverse events
Participants with at least one non-serious event at or above the registry's 5% reporting threshold.
| Arm | Participants affected of at risk |
|---|---|
| Placebo | 23 of 56 |
| Lebrikizumab 37.5 mg | 67 of 113 |
| Lebrikizumab 125 mg | 72 of 116 |
| Placebo/ Lebrikizumab 37.5 mg | 23 of 30 |
| Placebo/ Lebrikizumab 125 mg | 24 of 31 |
Most frequent serious adverse event terms
| Event term | Organ system | Placebo | Lebrikizumab 37.5 mg | Lebrikizumab 125 mg | Placebo/ Lebrikizumab 37.5 mg | Placebo/ Lebrikizumab 125 mg |
|---|---|---|---|---|---|---|
| Asthma | Respiratory, thoracic and mediastinal disorders | 1 of 56 | 2 of 113 | 2 of 116 | 1 of 30 | 2 of 31 |
| Dehydration | Metabolism and nutrition disorders | 1 of 56 | 0 of 113 | 1 of 116 | 0 of 30 | 0 of 31 |
| Eosinophilia | Blood and lymphatic system disorders | 0 of 56 | 1 of 113 | 0 of 116 | 0 of 30 | 0 of 31 |
| Abdominal pain | Gastrointestinal disorders | 0 of 56 | 0 of 113 | 0 of 116 | 0 of 30 | 1 of 31 |
| Diarrhoea | Gastrointestinal disorders | 1 of 56 | 0 of 113 | 0 of 116 | 0 of 30 | 0 of 31 |
| Vomiting | Gastrointestinal disorders | 1 of 56 | 0 of 113 | 0 of 116 | 0 of 30 | 0 of 31 |
| Anaphylactic reaction | Immune system disorders | 0 of 56 | 0 of 113 | 1 of 116 | 0 of 30 | 0 of 31 |
| Anaphylactic shock | Immune system disorders | 0 of 56 | 0 of 113 | 1 of 116 | 0 of 30 | 0 of 31 |
| Appendicitis | Infections and infestations | 0 of 56 | 1 of 113 | 0 of 116 | 0 of 30 | 0 of 31 |
| Gastroenteritis | Infections and infestations | 0 of 56 | 0 of 113 | 1 of 116 | 0 of 30 | 0 of 31 |
Most frequent non-serious adverse event terms
| Event term | Organ system | Placebo | Lebrikizumab 37.5 mg | Lebrikizumab 125 mg | Placebo/ Lebrikizumab 37.5 mg | Placebo/ Lebrikizumab 125 mg |
|---|---|---|---|---|---|---|
| Asthma | Respiratory, thoracic and mediastinal disorders | 12 of 56 | 25 of 113 | 31 of 116 | 11 of 30 | 15 of 31 |
| Pharyngitis | Infections and infestations | 5 of 56 | 10 of 113 | 18 of 116 | 8 of 30 | 4 of 31 |
| Nasopharyngitis | Infections and infestations | 4 of 56 | 14 of 113 | 13 of 116 | 6 of 30 | 7 of 31 |
| Upper respiratory tract infection | Infections and infestations | 3 of 56 | 16 of 113 | 11 of 116 | 2 of 30 | 2 of 31 |
| Headache | Nervous system disorders | 2 of 56 | 8 of 113 | 11 of 116 | 3 of 30 | 6 of 31 |
| Bronchitis | Infections and infestations | 2 of 56 | 10 of 113 | 6 of 116 | 4 of 30 | 4 of 31 |
| Tonsillitis | Infections and infestations | 2 of 56 | 9 of 113 | 8 of 116 | 2 of 30 | 3 of 31 |
| Rhinitis | Infections and infestations | 1 of 56 | 5 of 113 | 6 of 116 | 3 of 30 | 3 of 31 |
| Rhinitis allergic | Respiratory, thoracic and mediastinal disorders | 1 of 56 | 3 of 113 | 6 of 116 | 2 of 30 | 2 of 31 |
| Influenza | Infections and infestations | 0 of 56 | 5 of 113 | 6 of 116 | 1 of 30 | 1 of 31 |
Serious events with the highest arm-level rate: asthma (6.5%), sinusitis (3.3%), type 1 diabetes mellitus (3.3%), headache (3.3%), abdominal pain (3.2%).
The registry lists serious adverse events and other adverse events for several treatment periods or group labels. For the placebo group, serious adverse events affected 3 participants among 56 at risk; other adverse events affected 23 among 56 at risk. For lebrikizumab 37.5 mg, the corresponding figures are 6 among 113 for serious adverse events and 67 among 113 for other adverse events. For lebrikizumab 125 mg, they are 8 among 116 and 72 among 116.
The record also lists placebo/ lebrikizumab extension groups: serious adverse events affected 3 among 30 and 4 among 31, and other adverse events affected 23 among 30 and 24 among 31, respectively. These group labels reflect different treatment periods in the registry and should not be combined with the placebo-controlled groups. The registry lists 0 deaths for each adverse-event group.
These are counts of participants affected, not event rates or measures of severity across all events. The placebo serious-event group has 56 at risk, unlike the 117 listed for the primary endpoint placebo group; the reason for that difference is not reported in the registry record. The record lists serious-event terms including asthma, sinusitis, type 1 diabetes mellitus, headache, abdominal pain, and abortion spontaneous, with percentages attached to those terms. The registry summaries do not establish whether an event was caused by study treatment. Comparisons should be interpreted cautiously because exposure periods and analysis denominators may differ.
17. What the Result Does, and Does Not, Mean
The posted primary results describe adjusted exacerbation-rate comparisons during the 52-week placebo-controlled period in a randomized study of adolescents with uncontrolled asthma on inhaled corticosteroids and a second controller medication. The adjusted rate ratios are below 1 for both lebrikizumab dose groups relative to placebo, with sponsor-reported estimates of 0.60 for 37.5 mg and 0.49 for 125 mg. Their confidence intervals indicate different degrees of precision: the 37.5 mg interval extends across 1, while the 125 mg interval is below 1.
These estimates do not mean that every participant experienced a lower event rate, or that an individual’s outcome can be predicted from a group-level average. The primary measure counts exacerbation events relative to follow-up time, rather than counting only whether each person had any event. The result also applies to the endpoint definition and period recorded in the trial; it is not a claim about every asthma outcome, longer-term effects, or other populations.
The registry reports secondary outcomes and adverse-event summaries, but the information does not establish a complete benefit-risk profile. Multiplicity handling, missing-data procedures, full model details, and the reason for trial termination are not reported in the registry record. The sponsor’s adjusted analyses should be distinguished from simple recalculations based on arm-level summaries, and secondary comparisons should not be treated as equally confirmatory when their multiplicity plan is unknown.
The results do not establish why the trial was terminated, why any participant experienced an exacerbation or adverse event, or whether a particular treatment is appropriate for an individual. They are statistical summaries of the outcomes reported for this trial. Their interpretation depends on the endpoint definition, analysis population, model assumptions, uncertainty intervals, and limitations of the registry record.
18. Why This Trial Matters Statistically
This trial offers a useful example of why endpoint scale matters. The primary outcome is an exacerbation rate per patient year, not a percentage of participants with an event. That distinction determines how the exposure time enters the analysis and why a rate ratio, rather than a risk difference, is the central comparative measure. The registry also identifies the adjusted Poisson regression analysis, making clear that the sponsor’s result is not simply a comparison of the three arm-level rates.
The record allows readers to distinguish adjusted sponsor estimates from unadjusted recalculations. The recalculated point estimates are close to the sponsor’s rounded rate ratios, but the recalculated intervals differ. This illustrates why agreement in rounded point estimates does not make analyses interchangeable: model adjustment and inferential procedures affect uncertainty as well as the estimate.
The secondary results further demonstrate that one trial can report several outcome types, including mean differences and hazard ratios, each with a different interpretation. Multiple endpoints increase the need for a prespecified analysis hierarchy and a clear multiplicity plan. Those details are not reported in the registry record, so secondary findings should be read as supporting context rather than as a collection of independent confirmatory tests.
Finally, the terminated status and the differences in listed outcome analysis groups highlight important reporting questions. The registry does not explain the termination or fully describe missing-data handling and analysis populations across outcomes. These omissions do not erase the reported estimates, but they affect how fully readers can evaluate precision, generalizability, and robustness.
19. Limitations
- The posted summary statistics are the only data these results rest on; patient-level data, full protocols and statistical analysis plans are not available.
- Recalculated results are simple, unadjusted calculations from posted summaries. They do not replace the sponsor's prespecified analysis.
- Rate comparisons use a Poisson approximation unless the sponsor posted confidence limits; real event counts are often over-dispersed.
The registry record has important limitations for interpreting this trial. It lists a terminated status but does not report the reason for termination or whether termination affected recruitment, follow-up, endpoint collection, or analysis. Without that context, the status alone cannot explain the completeness or representativeness of the posted results.
The primary outcome description identifies an adjusted Poisson regression model and an ITT analysis population, but the model’s covariates and detailed specification are not reported. The record also does not describe model diagnostics, assessment or handling of over-dispersion, or the precise treatment of recurrent events beyond defining the event rate. These details are needed to reproduce or independently assess the adjusted estimates.
The sponsor-reported primary analyses include confidence intervals but no p-values. Recalculated unadjusted comparisons can be derived from posted rates, but they do not reproduce the adjusted analysis. The original sample-size justification, planned effect, and trial-specific design assumptions are not reported, so the planning illustrations cannot establish whether the study met its original design goals.
The registry record does not report multiplicity procedures, interim analyses, stopping rules, or the full statistical analysis plan. Missing-data methods and outcome-specific analysis populations are also not fully described. Several secondary outcomes are listed, but results are not posted for every listed measure. The reason for differing counts across outcomes is not reported.
Safety summaries use group-specific at-risk counts that differ across treatment labels and periods. The registry does not explain all denominator differences, and adverse-event counts alone do not establish causation. Finally, results from this adolescent population on background controller medication should not automatically be generalized to populations or treatment settings not described in the record.
20. Related Tutorials
21. Related Statistical Calculators
22. Sources
- ClinicalTrials.gov: A Study of Lebrikizumab in Adolescent Participants With Uncontrolled Asthma Who Are on Inhaled Corticosteroids and a Second Controller Medication — NCT01875003.
- Registry record last updated 2026-06-30; status last verified 2026-06.
- Results first posted 2026-06-30.
- Data retrieved from ClinicalTrials.gov on 2026-11-09.
- Group sizes, means, event counts and sponsor-reported p-values are reproduced as posted. Effect estimates, confidence intervals and p-values not attributed to the sponsor are independently calculated from the posted summary statistics.
Continue through the Clinical Biostats statistical pathway
Use this trial's endpoint as a starting point for deeper study of effect measures, confidence intervals, and sample-size planning.
23. Record Summary
NCT01875003 is a Phase III, randomized, double-blind, parallel-group, placebo-controlled study sponsored by Hoffmann-La Roche. It enrolled adolescents with uncontrolled asthma despite inhaled corticosteroids and a second controller medication. Participants were assigned to lebrikizumab 37.5 mg, lebrikizumab 125 mg, or placebo; the primary endpoint was the adjusted asthma exacerbation rate during the 52-week placebo-controlled period.
The sponsor-reported adjusted rate ratios versus placebo were 0.60 for 37.5 mg and 0.49 for 125 mg. Their 95% confidence intervals were 0.35 to 1.03 and 0.28 to 0.83, respectively. The registry lists the study as terminated, with a start date of 2013-08-13 and primary completion date of 2016-12-28. The reason for termination and several key statistical details are not reported in the registry record.