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 GLP-1 Receptor Agonist Lixisenatide in Patients With Type 2 Diabetes for Glycemic Control and Safety Evaluation in Monotherapy (NCT00688701), a randomized phase 3 study. The primary outcome is Absolute Change From Baseline in Glycosylated Hemoglobin (HbA1c) at Week 12.
| Feature | Registry value |
|---|---|
| ClinicalTrials.gov identifier | NCT00688701 |
| Phase | Phase 3 |
| Condition | Diabetes Mellitus, Type 2 |
| Allocation | Randomized |
| Design model | Parallel |
| Masking | Quadruple |
| Enrollment | 361 |
| Arms in the primary outcome | 3 |
| Lead sponsor | Sanofi |
| Results posted | Yes |
2. Clinical Question
Population
People with type 2 diabetes who were not being treated with antidiabetic agents. The primary analysis used the mITT population: randomized participants who received at least one dose and had a baseline and at least one post-baseline efficacy assessment.
Intervention
Lixisenatide as monotherapy, given once daily in either a two-step or one-step titration regimen. Both regimens reached 20 mcg once daily and continued through Week 12.
Comparator
Placebo, also given in two-step or one-step titration regimens. The primary outcome results use a combined placebo group as the comparator for each lixisenatide regimen.
Primary question
What was the absolute change from baseline in HbA1c at Week 12 with each lixisenatide regimen compared with placebo? The study also assessed other glycemic measures, body weight, safety and tolerability, pharmacokinetics, and antibody development.
The primary endpoint is an absolute change: the Week 12 HbA1c value minus the baseline value. A negative change therefore represents a lower HbA1c value at Week 12 than at baseline. The comparison estimates how the average change differed between each lixisenatide group and the combined placebo group.
This is a comparison of assigned treatment groups in a randomized, parallel-group trial, not a comparison of individual participants’ responses. The posted endpoint results report least-squares means and the registry also records ANCOVA comparisons. These are group-level estimates; they do not describe how every participant’s HbA1c changed, nor do they answer questions about outcomes beyond the study’s 12-week treatment period.
3. Trial Design
The registry describes a completed, randomized, quadruple-masked, parallel-group phase 3 study sponsored by Sanofi. The official title describes it as double-blind and multicenter. Enrollment was 361. The study began in 2008-05, and primary completion was recorded as 2009-12. The planned treatment period was 12 weeks.
Participants were assigned to lixisenatide or placebo with one of two initiation schedules. In the two-step regimen, participants received 10 mcg once daily for 1 week, then 15 mcg once daily for 1 week, followed by 20 mcg once daily through Week 12. In the one-step regimen, participants received 10 mcg once daily for 2 weeks, then 20 mcg once daily through Week 12. The corresponding placebo groups followed matching titration schedules.
For the primary outcome, the placebo groups are combined. The posted primary endpoint estimates include 112 participants for placebo, 113 for lixisenatide with two-step titration, and 114 for lixisenatide with one-step titration. Those are the numbers analyzed for this endpoint, not a count of everyone enrolled. The analysis population required receipt of at least one dose, a baseline assessment, and at least one post-baseline efficacy assessment.
The registry record does not report the original sample-size justification, the planned allocation ratio, or detailed procedures for sequence generation and allocation concealment. It also does not report an interim-analysis plan. The absence of these details in the registry record does not establish what was or was not done outside the record.
4. Participant Flow and Accounting
The registry reports how participants moved through each stage of the study. All counts below are exactly as posted; missing counts are not inferred from other stages.
Before assignment: A total of 795 patients were screened of which 434 (54.6%) were screen failures; main reason for screen failure was glycosylated hemoglobin (HbA1c) values being out of the defined protocol range (greater than or equal to 7% and less than or equal to 10%). A total of 361 patients were randomized.
Overall Study
| Stage | Placebo (Two-Step Titration) | Placebo (One-Step Titration) | Lixisenatide (Two-Step Titration) | Lixisenatide (One-Step Titration) |
|---|---|---|---|---|
| STARTED | 61 | 61 | 120 | 119 |
| Treated/Safety Population | 61 | 61 | 120 | 119 |
| Modified Intent-to-Treat(mITT)Population | 61 | 60 | 120 | 118 |
| Subgroup for Standardized Meal Test | 27 | 35 | 60 | 65 |
| COMPLETED | 57 | 56 | 110 | 108 |
| NOT COMPLETED | 4 | 5 | 10 | 11 |
Reasons for not completing this period:
| Reason | Placebo (Two-Step Titration) | Placebo (One-Step Titration) | Lixisenatide (Two-Step Titration) | Lixisenatide (One-Step Titration) |
|---|---|---|---|---|
| Adverse Event | 1 | 0 | 5 | 3 |
| Lack of Efficacy | 0 | 1 | 0 | 0 |
| Withdrawal by Subject | 3 | 3 | 4 | 8 |
| Poor compliance to protocol | 0 | 1 | 1 | 0 |
Analysis population for the primary outcome, as defined in the registry: mITT population:all randomized patients who received at least 1 dose;had baseline,at least 1 post-baseline efficacy assessment, irrespective of compliance with study protocol/procedures. Last observation carried forward used. Number of patients analyzed=patients with baseline and at least 1 post-baseline HbA1c assessment during on-treatment period.
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: Safety population included all randomized patients who were exposed to at least 1 dose of study drug, regardless of the amount of treatment administered.
| Characteristic | Unit | Placebo (Combined) | Lixisenatide (Two-Step Titration) | Lixisenatide (One-Step Titration) | Total |
|---|---|---|---|---|---|
| Participants analysed | 122 | 120 | 119 | 361 | |
| Age, Continuous | years | 54.1 (SD 11.0) | 53.3 (SD 9.7) | 53.8 (SD 10.9) | 53.7 (SD 10.5) |
| Sex: Female, Male: Female | Participants | 62 | 57 | 56 | 175 |
| Sex: Female, Male: Male | Participants | 60 | 63 | 63 | 186 |
| Race/Ethnicity, Customized: Race: Caucasian/White | participants | 90 | 88 | 85 | 263 |
| Race/Ethnicity, Customized: Race: Black | participants | 3 | 0 | 3 | 6 |
| Race/Ethnicity, Customized: Race: Asian/Oriental | participants | 24 | 27 | 29 | 80 |
| Race/Ethnicity, Customized: Race: Other | participants | 5 | 5 | 2 | 12 |
| Race/Ethnicity, Customized: Ethnicity: Hispanic | participants | 31 | 25 | 22 | 78 |
| Race/Ethnicity, Customized: Ethnicity: Non Hispanic | participants | 91 | 95 | 97 | 283 |
| Glycosylated Hemoglobin (HbA1c) | percentage of hemoglobin | 8.07 (SD 0.91) | 7.98 (SD 0.92) | 8.07 (SD 0.87) | 8.04 (SD 0.90) |
| 2-Hour Postprandial Plasma Glucose (PPG) | mmol/L | 14.27 (SD 4.84) | 14.81 (SD 3.87) | 14.62 (SD 3.41) | 14.57 (SD 4.05) |
| Body Weight | kilogram (kg) | 86.08 (SD 22.21) | 89.04 (SD 22.16) | 86.50 (SD 21.00) | 87.20 (SD 21.78) |
| Fasting Plasma Glucose (FPG) | millimole per liter (mmol/L) | 8.90 (SD 2.16) | 9.15 (SD 1.99) | 9.04 (SD 1.97) | 9.03 (SD 2.04) |
| Glucose Excursion | mmol/L | 4.82 (SD 3.69) | 5.67 (SD 3.05) | 5.34 (SD 2.96) | 5.27 (SD 3.25) |
| Duration of Diabetes | years | 1.37 (0.2 to 12.5) | 1.42 (0.2 to 21.5) | 1.11 (0.2 to 23.9) | 1.33 (0.2 to 23.9) |
| Body Mass Index (BMI) | kilogram per square meter (kg/m^2) | 31.76 (SD 6.69) | 32.34 (SD 6.72) | 31.65 (SD 6.62) | 31.91 (SD 6.66) |
6. Primary Endpoint
The registry lists the primary outcome as Absolute Change From Baseline in Glycosylated Hemoglobin (HbA1c) at Week 12, measured over Baseline, Week 12.
| Element | Registry entry |
|---|---|
| Result type | Least Squares Mean |
| Measure of spread | Standard Error |
| Unit | percentage of hemoglobin |
| Endpoint classification | Continuous Endpoint |
The primary endpoint is absolute change in glycosylated hemoglobin, or HbA1c, from baseline to Week 12. HbA1c is used as a measure of glycemic control because it reflects glucose exposure over a period of time rather than a single measurement. The registry defines the change as the Week 12 value minus the baseline value, so negative changes indicate decreases from baseline.
The posted group estimates are least-squares means, expressed as percentage of hemoglobin, with standard errors. The placebo estimate was -0.19; the two-step lixisenatide estimate was -0.73; and the one-step lixisenatide estimate was -0.85. The sponsor’s ANCOVA comparisons report least-squares mean differences of -0.54 for two-step lixisenatide versus placebo and -0.66 for one-step lixisenatide versus placebo.
The endpoint was assessed at Week 12, with the recorded timeframe spanning baseline and Week 12. The primary variable’s on-treatment period ran from the first study-drug dose to 3 days after the last dose or to introduction of rescue therapy, whichever came first. The analysis used last observation carried forward for missing endpoint values. These definitions matter: the result concerns the specified short-term endpoint and analysis population, rather than a direct measurement of long-term glycemic control.
7. Results Posted in the Registry
- Lixisenatide (Two-Step Titration): mean -0.73 versus -0.19 on control; difference -0.54 (95% CI -0.87 to -0.21), standardized effect d = -0.43; z-test p = 0.001.
- Lixisenatide (One-Step Titration): mean -0.85 versus -0.19 on control; difference -0.66 (95% CI -0.99 to -0.33), standardized effect d = -0.52; z-test p = <0.001.
Mean difference: Lixisenatide (Two-Step Titration)
95% CI: -0.87 to -0.21
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 |
|---|---|---|---|---|
| Change From Baseline in 2-Hour Postprandial Plasma Glucose (PPG) at Week 12 | Continuous Endpoint | Mean difference | -3.86 (-5.43 to -2.29) | 19 per arm |
| Change From Baseline in Body Weight at Week 12 | Continuous Endpoint | Mean difference | 0.02 (-0.90 to 0.94) | 508,575 per arm |
| Change From Baseline in Fasting Plasma Glucose (FPG) at Week 12 | Continuous Endpoint | Mean difference | -0.87 (-1.57 to -0.17) | 157 per arm |
Change From Baseline in 2-Hour Postprandial Plasma Glucose (PPG) at Week 12
- 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:
- Lixisenatide (Two-Step Titration): mean -4.51 versus -0.65 on control; difference -3.86 (95% CI -5.43 to -2.29), standardized effect d = -0.93; z-test p = <0.001.
- Lixisenatide (One-Step Titration): mean -5.47 versus -0.65 on control; difference -4.82 (95% CI -6.36 to -3.28), standardized effect d = -1.14; z-test p = <0.001.
- Interpretation:
- The 95% confidence interval excludes no difference, so the mean is statistically lower for Lixisenatide (Two-Step Titration) 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 lower for Lixisenatide (One-Step Titration) than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
Change From Baseline in Body Weight at Week 12
- 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:
- Lixisenatide (Two-Step Titration): mean -1.96 versus -1.98 on control; difference 0.02 (95% CI -0.90 to 0.94), standardized effect d = 0.01; z-test p = 0.966.
- Lixisenatide (One-Step Titration): mean -1.92 versus -1.98 on control; difference 0.06 (95% CI -0.88 to 1.00), standardized effect d = 0.02; z-test p = 0.901.
- Interpretation:
- The 95% confidence interval includes no difference, so these data do not show a statistically significant difference between Lixisenatide (Two-Step Titration) and the control. The interval gives the range of effects that remain compatible with the data.
- The 95% confidence interval includes no difference, so these data do not show a statistically significant difference between Lixisenatide (One-Step Titration) and the control. The interval gives the range of effects that remain compatible with the data.
Change From Baseline in Fasting Plasma Glucose (FPG) at Week 12
- 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:
- Lixisenatide (Two-Step Titration): mean -0.68 versus 0.19 on control; difference -0.87 (95% CI -1.57 to -0.17), standardized effect d = -0.32; z-test p = 0.014.
- Lixisenatide (One-Step Titration): mean -0.89 versus 0.19 on control; difference -1.08 (95% CI -1.79 to -0.37), standardized effect d = -0.39; z-test p = 0.003.
- Interpretation:
- The 95% confidence interval excludes no difference, so the mean is statistically lower for Lixisenatide (Two-Step Titration) 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 lower for Lixisenatide (One-Step Titration) than for the control. This is an unadjusted, secondary comparison, so it is suggestive rather than confirmatory.
The secondary outcomes span several related domains: postprandial glucose, fasting glucose, body weight, HbA1c thresholds, and use of rescue therapy. The registry includes numerical results for change in postprandial glucose, body weight, and fasting glucose. Numerical results for the HbA1c threshold outcomes and rescue therapy are not reported in the registry record. Pharmacokinetics and antibody development are also named among the secondary objectives, without numerical results in the record.
Overall, the posted glucose measures follow a pattern consistent in direction with the primary HbA1c comparisons: the lixisenatide groups have more negative mean changes than combined placebo for postprandial glucose and fasting glucose. The body-weight estimates are similar across the groups. These outcomes offer additional context about the measured endpoints, but they do not replace the primary result or establish a broader conclusion about treatment effects.
The numerical secondary results are based on different analyzed participant counts, which vary by endpoint. This is one reason to read each outcome with its own analysis population and uncertainty rather than assume that every result represents an identical set of participants. The registry record does not report sponsor ANCOVA analyses for these secondary comparisons.
Unadjusted secondary results carry less inferential weight when many outcomes and comparisons are examined. Unless a multiplicity plan is specified, the chance of observing at least one nominally notable result can increase across a family of tests. The registry record does not report whether secondary hypotheses were ordered or adjusted for multiplicity. Accordingly, these outcomes are best treated as supporting descriptive evidence, not as independent confirmation of the primary finding.
Secondary outcomes registered for this trial, for reference (only those above were recalculated):
- Change From Baseline in 2-Hour Postprandial Plasma Glucose (PPG) at Week 12
- Change From Baseline in Body Weight at Week 12
- Change From Baseline in Fasting Plasma Glucose (FPG) at Week 12
- Percentage of Patients With Glycosylated Hemoglobin (HbA1c) Level Less Than 7% at Week 12
- Percentage of Patients With Glycosylated Hemoglobin (HbA1c) Level Less Than or Equal to 6.5% at Week 12
- Percentage of Patients Requiring Rescue Therapy During the Double-Blind Treatment Period
9. Statistical Interpretation
The posted primary results show decreases in mean HbA1c from baseline in all three groups. The estimated decrease was -0.19 with combined placebo, -0.73 with two-step lixisenatide, and -0.85 with one-step lixisenatide. The sponsor’s ANCOVA estimates of the between-group differences were -0.54 for two-step lixisenatide versus placebo and -0.66 for one-step lixisenatide versus placebo. Because the endpoint is defined as Week 12 minus baseline, the negative differences indicate a larger average decrease in the lixisenatide groups than in the combined placebo group in these analyses.
The sponsor reported 95% confidence intervals of -0.785 to -0.300 for the two-step comparison and -0.903 to -0.423 for the one-step comparison. Both intervals lie below zero, so the sponsor’s estimates are compatible with a negative between-group difference across the reported interval. The registry also reports sponsor p-values below its displayed threshold for both comparisons. These inferential results concern the model-based comparison and the analysis specified in the registry record; they are not a probability that the null hypothesis is true.
Unadjusted recalculations from the posted group summaries estimate the same mean differences: -0.54 and -0.66. Their p-values are 0.001 and <0.001, respectively. These are simple recalculations from summary statistics, not replacements for the sponsor’s ANCOVA. The recalculated confidence intervals are wider than the sponsor’s reported intervals, reflecting that the methods and information used are not identical.
The two-step and one-step estimates point in the same direction relative to placebo. This does not establish that one titration schedule is better than the other. The reported primary comparisons are each against combined placebo; a direct randomized comparison between the two active regimens is not reported in the registry record. Nor does the short follow-up establish whether the observed group differences persist beyond Week 12.
These results describe the posted HbA1c estimates and their statistical uncertainty. They do not by themselves establish the broader balance of benefits and risks, and they should be read alongside the secondary outcomes, safety information, analysis population, missing-data approach, and limitations of the registry record.
10. Statistical Methods Explained
The primary endpoint is continuous: it is a numerical measure of change in HbA1c. The registry reports least-squares means for the treatment groups and least-squares mean differences from ANCOVA. In general, an ANCOVA estimates group differences while accounting for specified covariates. The registry record does not identify all covariates or provide the full model specification, so the exact adjustment cannot be reconstructed from the available details.
What does a least-squares mean represent?
General explanation: a least-squares mean is a model-based group average. It may differ from a simple arithmetic average when the model adjusts for other variables or uses a particular analysis structure. The reported estimates are -0.19 for combined placebo, -0.73 for two-step lixisenatide, and -0.85 for one-step lixisenatide. Their standard errors are 0.121, 0.116, and 0.119, respectively. A standard error describes the statistical uncertainty in an estimated mean; it is not the spread of individual participant measurements.
The primary endpoint analysis population was the mITT population, defined in the registry as randomized participants who received at least one dose, had a baseline assessment, and had at least one post-baseline efficacy assessment. The record says last observation carried forward was used. In general, this method carries a participant’s last available observed value forward to represent a later missing measurement. It can make assumptions about the trajectory after the last observation, and it does not remove uncertainty due to missing outcomes.
How should the group comparisons be distinguished?
The registry’s sponsor-reported comparisons use ANCOVA and report least-squares mean differences. The two-step estimate is -0.54, with a 95% confidence interval from -0.785 to -0.300; the one-step estimate is -0.66, with a 95% confidence interval from -0.903 to -0.423. The recalculated comparisons are unadjusted estimates derived from posted summary statistics. They agree with the sponsor’s point estimates but do not reproduce the same confidence intervals or p-values. A recalculation from summaries cannot recover every feature of the original participant-level model.
The recalculated standard deviations are approximate: the posted group dispersion is a standard error, not a standard deviation, and the reconstruction relies on summary information. The resulting unadjusted comparisons are useful as a check on the direction and scale of the difference, but they should not be treated as a substitute for the sponsor’s ANCOVA. The registry record marks no discrepancy between the recalculated point estimates and the reported estimates.
What does a p-value say?
General explanation: a p-value measures how incompatible the observed data are with a specified null model, under the assumptions of the analysis. It is not the probability that a treatment has no effect, and it does not measure the size or clinical importance of an estimate. The recalculated p-values are 0.001 for the two-step comparison and <0.001 for the one-step comparison. The sponsor’s model-based p-values are reported separately in the registry record.
Two-sided testing is listed among the assumptions for the planning illustration, not as a complete description of the trial’s original statistical plan. The original design assumptions, planned power, and sample-size justification are not reported in the registry record. No interim-analysis plan or multiplicity-adjustment procedure is reported there either.
In general, multiple comparisons create more opportunities for a nominally small p-value to occur by chance when many hypotheses are tested. This matters when considering the secondary outcomes and both active-versus-placebo comparisons. The record does not state whether the sponsor used a hierarchical testing procedure or another approach to control multiplicity; therefore, the unadjusted recalculated p-values should not be interpreted as multiplicity-adjusted evidence.
The endpoint’s observation window also shapes the estimand. The recorded on-treatment period ends 3 days after the last dose or when rescue therapy begins, whichever occurs first. This means the primary analysis does not simply represent a fixed follow-up measurement regardless of rescue treatment. The registry description also requires baseline and at least one post-baseline efficacy assessment for inclusion in the mITT population. Participants without such data are not part of that analysis population.
General explanation: randomization supports comparisons between assigned groups by reducing systematic differences at assignment, but it does not ensure that every group is identical in a finite trial. Masking can reduce some sources of bias in care and outcome assessment. The registry records randomized allocation and quadruple masking, while the official title calls the trial double-blind. The detailed operational meaning of each masked role is not reported in the registry record.
11. Confidence Intervals and Precision
A confidence interval gives a range of values compatible with the observed data under the analysis assumptions. It conveys uncertainty about the estimated group difference, not the range of individual participant responses. The sponsor’s 95% confidence interval for two-step lixisenatide versus placebo is -0.785 to -0.300. For one-step lixisenatide versus placebo, it is -0.903 to -0.423. Both intervals are entirely negative, consistent with the negative point estimates for the defined change score.
The recalculated intervals use summary-statistic methods and differ from the sponsor’s ANCOVA intervals. Since the recalculation is unadjusted and uses an approximate reconstruction of the group variability, it is not surprising that its interval estimates are not identical to those from the sponsor’s model. The posted summary does not include participant-level data or enough model details to reproduce the sponsor’s fit exactly.
Standard errors for the group means are 0.121 for placebo, 0.116 for two-step lixisenatide, and 0.119 for one-step lixisenatide. These quantify uncertainty in the estimated group means; they should not be mistaken for standard deviations describing variation among participants. In general, precision depends on both variability and the amount of information contributing to an estimate.
Intervals and p-values address statistical uncertainty, not clinical importance. The registry record does not define a threshold for a clinically meaningful HbA1c difference. The 12-week endpoint also limits what can be inferred about persistence of the estimated differences over time.
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 | 86 | 114 |
| 75% of the observed effect | 152 | 203 |
| 50% of the observed effect | 341 | 456 |
The planning figures are participants per arm, not total events. They are illustrative calculations from the observed effect, not the original trial’s design calculations. The stated assumptions are a two-sided significance level of 0.05, equal allocation between two arms, and a normal approximation. Each planning scenario uses the stated fraction of the observed effect as the effect to detect.
The 80% power column represents the number of participants per arm estimated to give an 80% chance of detecting the assumed effect under those planning assumptions, if that effect and the other assumptions hold. The 90% power column uses a higher target chance of detection and therefore generally requires more participants per arm. These figures are planning aids, not a report of the trial’s planned or achieved power.
Each row changes the effect size used in the illustration. Planning for 100% of the observed effect uses the full observed estimate; planning for 75% or 50% uses smaller assumed effects. Smaller effects are harder to distinguish from random variation, so they require more participants per arm to reach the same target power. The particularly large values for body-weight comparisons reflect the very small observed mean differences in those comparisons; they should be read as consequences of this calculation, not as a proposed design for a future study.
This is not observed power. The original trial’s sample-size assumptions and justification are not reported in the registry record. The planning illustration does not show the probability that the completed study’s result is correct, and it cannot resolve limitations in the outcome analysis or missing-data handling.
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, Δ is the difference in means to detect and σ is the common standard deviation.
Worked calculation for this trial
- Observed difference Δ = -0.540; pooled standard deviation σ = 1.257.
- n = 2 × (1.96 + 0.842)2 × 1.2572 / -0.5402 = 85.1, rounded up to 86 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 <- -0.54 # observed difference in means
sigma <- 1.2569377836346 # 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(688701)
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 = 86 (80% power), 114 (90% power)
75% of observed effect: n per arm = 152 (80% power), 203 (90% power)
50% of observed effect: n per arm = 341 (80% power), 456 (90% power)
power.t.test: 86
Simulated power at n = 86 per arm: 0.800 (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
| Method | Estimate | 95% CI | P-value |
|---|---|---|---|
| ANCOVA | Least squares (LS) mean difference -0.54 | -0.785 to -0.300 | < 0.001 |
| ANCOVA | LS mean difference -0.66 | -0.903 to -0.423 | < 0.001 |
The registry reports sponsor ANCOVA comparisons for the primary endpoint. The estimated least-squares mean difference is -0.54 for two-step lixisenatide versus placebo and -0.66 for one-step lixisenatide versus placebo. The corresponding 95% confidence intervals are -0.785 to -0.300 and -0.903 to -0.423.
The simple unadjusted recalculations from posted summary statistics give the same point estimates, -0.54 and -0.66, but produce different confidence intervals and p-values. That is expected when estimates are reconstructed from summary statistics rather than obtained from the original ANCOVA model and its participant-level data. The recalculated values are therefore supplementary checks, not a competing primary analysis. The registry record indicates no discrepancy between the point estimates.
The sponsor’s analysis is the relevant reported model-based analysis. The registry lists p-values below its displayed threshold for both comparisons; the recalculated p-values are 0.001 and <0.001. These should not be compared as though they came from the same model. The registry does not provide enough detail to reproduce the full ANCOVA specification, and it does not report a multiplicity procedure for the comparisons.
15. Multiplicity, Missing Data and Analysis Populations
The registry record reports two sponsor ANCOVA comparisons for the primary endpoint, each comparing a lixisenatide regimen with combined placebo. It also lists multiple secondary outcomes and objectives. A plan for controlling the familywise error rate or otherwise handling multiplicity is not reported in the registry record. The recalculated p-values are unadjusted; they do not account for the number of endpoints or comparisons.
The primary analysis population is described as mITT: randomized participants who received at least one dose and had baseline and at least one post-baseline efficacy assessment. The record states that last observation carried forward was used. In general, this approach carries the last measured value forward when a later value is unavailable. Its use depends on assumptions about the unobserved outcome after dropout or missing measurement, and the registry does not report sensitivity analyses that test those assumptions.
The primary efficacy variable’s on-treatment period ends 3 days after the final dose or at introduction of rescue therapy, whichever occurs first. The registry also describes the analysis-population requirement and endpoint timing, but detailed counts and reasons for missing primary endpoint data are not reported in the registry record. A complete account of how missingness differed across groups cannot be drawn from the available information.
The original sample-size justification, planned power, interim-analysis plan, and detailed statistical analysis plan are not reported in the registry record. This limits assessment of how the completed analyses compare with the trial’s original prespecified plan. It also means the planning illustration based on observed effects should not be confused with the study’s own design assumptions.
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 (Two-Step Titration) | 3 | 61 | 4.9% |
| Placebo (One-Step Titration) | 2 | 61 | 3.3% |
| Placebo (Combined) | 5 | 122 | 4.1% |
| Lixisenatide (Two-Step Titration) | 1 | 120 | 0.8% |
| Lixisenatide (One-Step Titration) | 0 | 119 | 0.0% |
| Lixisenatide (Combined) | 1 | 239 | 0.4% |
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 (Two-Step Titration) | 11 of 61 |
| Placebo (One-Step Titration) | 8 of 61 |
| Placebo (Combined) | 19 of 122 |
| Lixisenatide (Two-Step Titration) | 35 of 120 |
| Lixisenatide (One-Step Titration) | 31 of 119 |
| Lixisenatide (Combined) | 66 of 239 |
Most frequent serious adverse event terms
| Event term | Organ system | Placebo (Two-Step Titration) | Placebo (One-Step Titration) | Placebo (Combined) | Lixisenatide (Two-Step Titration) | Lixisenatide (One-Step Titration) | Lixisenatide (Combined) |
|---|---|---|---|---|---|---|---|
| Colon cancer stage III | Neoplasms benign, malignant and unspecified (incl cysts and polyps) | 1 of 61 | 0 of 61 | 1 of 122 | 0 of 120 | 0 of 119 | 0 of 239 |
| Goitre | Endocrine disorders | 0 of 61 | 0 of 61 | 0 of 122 | 1 of 120 | 0 of 119 | 1 of 239 |
| Acute myocardial infarction | Cardiac disorders | 1 of 61 | 0 of 61 | 1 of 122 | 0 of 120 | 0 of 119 | 0 of 239 |
| Ileus | Gastrointestinal disorders | 1 of 61 | 0 of 61 | 1 of 122 | 0 of 120 | 0 of 119 | 0 of 239 |
| Blood glucose increased | Investigations | 0 of 61 | 1 of 61 | 1 of 122 | 0 of 120 | 0 of 119 | 0 of 239 |
| Ulna fracture | Injury, poisoning and procedural complications | 0 of 61 | 1 of 61 | 1 of 122 | 0 of 120 | 0 of 119 | 0 of 239 |
Most frequent non-serious adverse event terms
| Event term | Organ system | Placebo (Two-Step Titration) | Placebo (One-Step Titration) | Placebo (Combined) | Lixisenatide (Two-Step Titration) | Lixisenatide (One-Step Titration) | Lixisenatide (Combined) |
|---|---|---|---|---|---|---|---|
| Nausea | Gastrointestinal disorders | 3 of 61 | 2 of 61 | 5 of 122 | 29 of 120 | 24 of 119 | 53 of 239 |
| Headache | Nervous system disorders | 9 of 61 | 5 of 61 | 14 of 122 | 10 of 120 | 9 of 119 | 19 of 239 |
| Vomiting | Gastrointestinal disorders | 0 of 61 | 0 of 61 | 0 of 122 | 9 of 120 | 8 of 119 | 17 of 239 |
| Dizziness | Nervous system disorders | 1 of 61 | 2 of 61 | 3 of 122 | 9 of 120 | 4 of 119 | 13 of 239 |
Serious events with the highest arm-level rate: colon cancer stage iii (1.6%), acute myocardial infarction (1.6%), ileus (1.6%), blood glucose increased (1.6%), ulna fracture (1.6%).
The registry lists serious adverse events among 3 of 61 participants in the placebo two-step group and 2 of 61 in the placebo one-step group; the combined placebo figure is 5 of 122. For lixisenatide, the two-step group lists 1 of 120 participants and the one-step group lists 0 of 119; the combined lixisenatide figure is 1 of 239. These are counts of participants affected in the recorded groups, not estimates of comparative risk adjusted for other factors.
The record also lists other adverse events for 11 of 61 participants in placebo two-step, 8 of 61 in placebo one-step, and 19 of 122 in combined placebo. The corresponding lixisenatide counts are 35 of 120 for two-step, 31 of 119 for one-step, and 66 of 239 combined. Serious-event terms listed include colon cancer stage III, acute myocardial infarction, ileus, increased blood glucose, ulna fracture, and goitre, with the registry reporting percentages for those terms.
These counts should be read in the context of the 12-week study and the group sizes at risk. The registry record does not report death figures. The event counts alone do not establish causation or provide a complete assessment of safety.
17. What the Result Does, and Does Not, Mean
The primary results describe average HbA1c changes over the study’s 12-week treatment period. The sponsor’s ANCOVA estimates are negative for each lixisenatide-versus-placebo comparison, and the reported 95% confidence intervals lie below zero. This indicates that the estimated mean change was more negative in each lixisenatide group than in combined placebo within the reported model and analysis population.
The result does not say that every participant’s HbA1c decreased, or that all participants had the same response. A group mean can coexist with substantial variation among individuals. The registry’s standard errors and confidence intervals characterize uncertainty in group-level estimates; they are not a prediction interval for individual outcomes.
The endpoint and follow-up also define the scope of the finding. The result concerns change from baseline to Week 12, using an on-treatment window ending at 3 days after the last dose or at rescue therapy, whichever came first. It does not establish how the measurements might change after that period. The registry record does not define a clinically meaningful difference threshold, so statistical evidence should not be equated with a judgment about clinical importance.
These findings do not establish the relative merits of the two titration schedules, because the reported primary analyses compare each regimen with placebo rather than directly comparing the active regimens. Nor do the HbA1c results alone settle the balance of safety and other outcomes. Secondary endpoints, missing data, multiplicity, and the short duration all remain relevant to interpretation.
No medical recommendation follows from these registry results. They are a statistical account of the posted group estimates and the uncertainty reported for them, subject to the methods and limitations described in the record.
18. Why This Trial Matters Statistically
This trial illustrates why a continuous primary outcome can be informative when comparing randomized groups. HbA1c change is expressed on a common scale, and the reported mean differences summarize the contrast between each lixisenatide regimen and combined placebo. The group estimates, confidence intervals, and standard errors together show both the direction of the estimated difference and its statistical precision.
It also shows why analysis method matters. The sponsor’s comparisons use ANCOVA, while the recalculations use unadjusted summary statistics and an approximate reconstruction of variability. Although the point estimates agree, the intervals and p-values differ. A reader should therefore distinguish a model-based analysis reported by the sponsor from a calculation that checks the summary values but cannot reproduce the original model.
The endpoint is accompanied by related glycemic and non-glycemic measures. Their patterns can add context, but multiple outcomes raise multiplicity questions, and the registry does not report a correction strategy. The use of last observation carried forward and a defined on-treatment period likewise demonstrates how missing-data choices and outcome timing shape the estimate being interpreted.
Finally, sample-size illustrations based on observed effects are not a record of the trial’s design rationale or achieved power. Keeping planning calculations separate from the completed trial’s results is essential. Together, these points make the record useful for understanding the distinction between an estimate, its uncertainty, the model that produced it, and the limits of what the result can support.
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.
The registry record does not include the full ANCOVA specification, including all covariates, or participant-level data. That prevents exact reproduction of the sponsor’s model and limits assessment of the impact of its adjustment choices. The summary-statistic recalculations are unadjusted and use approximate variability, so their inference should remain secondary to the reported ANCOVA results.
The primary endpoint analysis used last observation carried forward. The registry record does not provide detailed missing-data counts and reasons, or sensitivity analyses that assess how conclusions might change under different assumptions. The mITT definition also excludes randomized participants who did not receive a dose or lacked the required baseline and post-baseline efficacy assessments.
The study lasted 12 weeks, and the primary endpoint is specified at Week 12. The record therefore does not establish the durability of the observed estimates beyond that treatment period. The primary comparisons are each against combined placebo; a direct comparison of the two lixisenatide titration regimens is not reported in the registry record.
The record does not report the original sample-size justification, interim-analysis plan, or multiplicity procedure. Numerical results are not reported for all named secondary outcomes. The registry also does not report death figures in the safety information described. These gaps constrain assessment of the complete analysis plan, all outcome domains, and the full safety profile.
20. Related Tutorials
21. Related Statistical Calculators
22. Sources
- ClinicalTrials.gov: GLP-1 Receptor Agonist Lixisenatide in Patients With Type 2 Diabetes for Glycemic Control and Safety Evaluation in Monotherapy — NCT00688701.
- Registry record last updated 2016-12-12; status last verified 2016-10.
- Results first posted 2016-12-12.
- 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.
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23. Record Summary
NCT00688701 is a completed randomized, quadruple-masked, parallel-group phase 3 study of lixisenatide monotherapy versus placebo in people with type 2 diabetes not treated with antidiabetic agents. Enrollment was 361, and the treatment period was 12 weeks.
The primary endpoint was absolute change in HbA1c at Week 12. The sponsor’s ANCOVA comparisons reported least-squares mean differences of -0.54 for two-step lixisenatide versus combined placebo and -0.66 for one-step lixisenatide versus combined placebo. The reported 95% confidence intervals were -0.785 to -0.300 and -0.903 to -0.423, respectively.
The analysis used an mITT population and last observation carried forward. The registry record does not report the original sample-size justification, detailed missing-data sensitivity analyses, or a multiplicity plan. Secondary measures and serious adverse event counts provide additional context but do not, by themselves, resolve those limitations.