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Alzheimer's Disease Phase 2 Continuous Endpoint NCT02791191

A Study of LY3202626 on Disease Progression in Participants With Mild Alzheimer's Disease Dementia: Complete Statistical Analysis

This analysis examines the phase 2 randomized study of LY3202626 versus placebo in mild Alzheimer's disease dementia, focusing on change in tau PET signal at Week 52. It explains the registry's sponsor-reported comparisons, unadjusted recalculations, posted secondary outcomes, and safety counts.

Trial start: 2016-06-16  ·  Enrollment: 316  ·  Sponsor: Eli Lilly and Company
Scope of this record

This page provides an independent statistical analysis and educational interpretation of publicly reported results. ClinicalTrials.gov provides the official trial registry record. Numerical trial results on this page are restricted to the results posted in the ClinicalTrials.gov record; calculations added by Clinical Biostats are labelled as such.

1. Trial at a Glance

This page covers the registry results for A Study of LY3202626 on Disease Progression in Participants With Mild Alzheimer's Disease Dementia (NCT02791191), a randomized phase 2 study. The primary outcome is Change From Baseline in ¹⁸F-AV-1451 Positron Emission Tomography (PET) Standard Uptake Value Ratio (SUVr) at 52 Weeks.

316
Enrollment
Phase 2
3
Arms
In the primary outcome
0.01
Mean difference
3 mg LY3202626
-0.04–0.06
95% CI
Two-sided
FeatureRegistry value
ClinicalTrials.gov identifierNCT02791191
PhasePhase 2
ConditionAlzheimer's Disease
AllocationRandomized
Design modelParallel
MaskingTriple
Enrollment316
Arms in the primary outcome3
Lead sponsorEli Lilly and Company
Results postedYes

2. Clinical Question

Population

Participants with mild Alzheimer's disease dementia. The primary endpoint population included participants who received at least one dose of study drug and had a baseline and at least one post-baseline scan. The registry lists enrollment of 316, but the primary endpoint results are based on smaller analysis groups.

Intervention

LY3202626 taken orally once daily for 52 weeks, at a dose of 3 mg or 12 mg.

Comparator

Placebo taken orally once daily for 52 weeks.

Primary question

At Week 52, did change from baseline in ¹⁸F-AV-1451 PET standard uptake value ratio differ between either LY3202626 dose and placebo?

The study's stated purpose was to evaluate safety and the effect of LY3202626 on brain tau in participants with mild Alzheimer's disease dementia. ¹⁸F-AV-1451 PET was used to assess tau-related signal, and the primary outcome was change in its standard uptake value ratio (SUVr) from baseline to Week 52. The registry describes comparisons of each dose with placebo, rather than a direct comparison between the doses.

The posted endpoint means were 0.02 for 3 mg, 0.03 for 12 mg, and 0.01 for placebo. These are changes in SUVr, not a direct measure of day-to-day function or a clinical diagnosis. The registry also lists cognitive and functional measures as secondary outcomes. Those measures can provide additional context, but they do not change what the primary endpoint was designed to measure.

The question is therefore narrow: whether the observed PET measure differed across randomized groups at the specified assessment. The posted estimates and analyses describe the data available for the endpoint population. They do not, by themselves, establish a clinical benefit, explain why the study was terminated, or show what the result would have been in a different population or under a different follow-up plan.

3. Trial Design

This was a phase 2, randomized, triple-masked, parallel-group study sponsored by Eli Lilly and Company. Participants were assigned to 3 mg LY3202626, 12 mg LY3202626, or placebo. The registry describes each regimen as an oral dose taken once daily for 52 weeks. A parallel design compares groups assigned to different study regimens over the same study period; randomization is intended to support fair comparisons by allocating treatment assignment through a chance process.

The registry lists 316 participants as enrolled. That overall enrollment figure should not be confused with the number contributing to a particular outcome. For the primary PET endpoint, the registry specifies an analysis population that had received at least one dose and had both a baseline and at least one post-baseline scan. The posted primary outcome groups contain 15 participants for 3 mg, 15 for 12 mg, and 11 for placebo. The registry does not explain in this record why the endpoint groups are smaller than the enrollment figure, or provide enough information to characterize all reasons for missing endpoint data.

The trial is marked terminated. The recorded start date is 2016-06-16, and the primary completion date is 2018-07-02. The registry record does not report a reason for termination in the registry record for this analysis, so no inference about the reason is warranted.

Triple masking indicates that the registry categorized the study as masked across three roles, but the specific roles are not reported in the registry record. The allocation process beyond its randomized classification, concealment procedures, and any stratification factors are also not reported in the registry record. The record identifies a parallel model and the assigned regimens, but does not establish additional details about adherence, treatment changes, or follow-up procedures beyond the stated endpoint time frame.

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.

Overall Study

Stage3 mg LY320262612 mg LY3202626Placebo
STARTED55128133
Received One Dose of Study Drug55127133
COMPLETED171713
NOT COMPLETED38111120

Reasons for not completing this period:

Reason3 mg LY320262612 mg LY3202626Placebo
Adverse Event245
Lack of Efficacy010
Study Drug Non-Compliance020
Site Closed by Sponsor113
Progressive Disease100
Study Terminated by Sponsor29101109
Withdrawal by Subject313
Subject Withdrew Caregiver Circumstances210

Analysis population for the primary outcome, as defined in the registry: All participants who received at least one dose of study drug, and have baseline and at least one post-baseline scan.

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: All randomized participants.

CharacteristicUnit3 mg LY320262612 mg LY3202626PlaceboTotal
Participants analysed55128133316
Age, Continuousyears73.91 (SD 6.72)72.73 (SD 7.15)72.54 (SD 7.80)72.86 (SD 7.36)
Sex: Female, Male: FemaleParticipants298677192
Sex: Female, Male: MaleParticipants264256124
Ethnicity (NIH/OMB): Hispanic or LatinoParticipants15713
Ethnicity (NIH/OMB): Not Hispanic or LatinoParticipants50108112270
Ethnicity (NIH/OMB): Unknown or Not ReportedParticipants4151433
Race (NIH/OMB): American Indian or Alaska NativeParticipants0000
Race (NIH/OMB): AsianParticipants8181339
Race (NIH/OMB): Native Hawaiian or Other Pacific IslanderParticipants1012
Race (NIH/OMB): Black or African AmericanParticipants15410
Race (NIH/OMB): WhiteParticipants45104113262
Race (NIH/OMB): More than one raceParticipants0123
Race (NIH/OMB): Unknown or Not ReportedParticipants0000
Region of Enrollment: CanadaParticipants0112
Region of Enrollment: United StatesParticipants4386105234
Region of Enrollment: JapanParticipants7181237
Region of Enrollment: AustraliaParticipants5231543
Flortaucipir Standard Uptake Value Ratio (SUVr)standard uptake value ratio (SUVr)1.32 (SD 0.24)1.36 (SD 0.28)1.42 (SD 0.35)1.38 (SD 0.31)

6. Primary Endpoint

The registry lists the primary outcome as Change From Baseline in ¹⁸F-AV-1451 Positron Emission Tomography (PET) Standard Uptake Value Ratio (SUVr) at 52 Weeks, measured over Baseline, Week 52.

ElementRegistry entry
Result typeMean
Measure of spreadStandard Deviation
UnitStandard Uptake Value Ratio (SUVr)
Endpoint classificationContinuous Endpoint

The primary endpoint was change from baseline in ¹⁸F-AV-1451 PET standard uptake value ratio (SUVr) at Week 52. The tracer is used to assess tau-related signal in the brain, and the study described this outcome as a pharmacodynamic measure. In general, a pharmacodynamic endpoint assesses a biological response associated with a treatment; it is not automatically a measure of how a participant feels, functions, or survives.

SUVr expresses PET signal as a ratio, allowing the study to quantify the tracer signal under a defined imaging and analysis approach. The registry's primary-endpoint description says that the SUVr was modeled using analysis of covariance (ANCOVA), with treatment dose as a fixed categorical effect and baseline Tau PET SUVr and age at baseline as continuous fixed covariates. This adjustment is intended to compare treatment groups while accounting for specified baseline characteristics. It does not mean that the posted group means alone reproduce the adjusted model.

The outcome is useful for the research question because it targets the study's stated interest in brain tau and can register a biological change over the study period. Its interpretation remains specific to the PET measure, the endpoint population, and the Week 52 assessment. A difference in SUVr would not by itself establish a difference in clinical progression, while a lack of clear separation in the posted estimates does not establish equivalence. The registry record does not report a threshold for a clinically important SUVr change, so the clinical meaning of a particular numerical difference is not established in the record.

7. Results Posted in the Registry

Mean difference: 3 mg LY3202626

0.01

95% CI: -0.04 to 0.06

Recalculated from the posted summary statistics

Primary outcome by arm, with 95% confidence intervals
Primary outcome by arm with 95% confidence intervals-0.0-0.0-0.00.00.00.13 mg LY3202626 (n=15)12 mg LY3202626 (n=15)Placebo (n=11)Standard Uptake Value Ratio (SUVr) (95% CI)
Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)3 mg LY320262612 mg LY3202626-0.05-0.020.000.030.050.08mean difference vs control (95% CI)

8. Secondary Efficacy Endpoints

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

Secondary outcomeTypeEffect measureEstimate (95% CI)Planning size, 80% power
Change From Baseline on the 13-item Alzheimer's Disease Assessment Scale-Cognition (ADAS-Cog₁₃)Continuous EndpointMean difference0.08 (-3.96 to 4.12)82,736 per arm
Change From Baseline on the Alzheimer's Disease Cooperative Study-Instrumental Activities of Daily Living Inventory (ADCS-iADL)Continuous EndpointMean difference3.35 (-0.42 to 7.12)42 per arm
Change From Baseline on the Integrated Alzheimer's Disease Rating Scale (iADRS)Continuous EndpointMean difference4.31 (-1.54 to 10.16)59 per arm

Change From Baseline on the 13-item Alzheimer's Disease Assessment Scale-Cognition (ADAS-Cog₁₃)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)3 mg LY320262612 mg LY3202626-5.77-3.64-1.520.602.734.85mean difference vs control (95% CI)

Change From Baseline on the Alzheimer's Disease Cooperative Study-Instrumental Activities of Daily Living Inventory (ADCS-iADL)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)3 mg LY320262612 mg LY3202626-1.590.282.154.025.897.77mean difference vs control (95% CI)

Change From Baseline on the Integrated Alzheimer's Disease Rating Scale (iADRS)

Treatment effect versus the control arm
Forest plot of mean difference vs control (95% CI)3 mg LY320262612 mg LY3202626-2.710.062.825.588.3511mean difference vs control (95% CI)

The registry lists cognitive and functional measures among its secondary outcomes, including ADAS-Cog₁₃, ADCS-iADL, and iADRS. The posted results also include secondary safety, imaging, pharmacokinetic, and plasma amyloid measures. Eight secondary outcomes are posted, and the record lists 30 analyses across outcomes. Those results broaden the description of the study but do not redefine the primary endpoint, which was tau PET SUVr change at Week 52.

Across the posted cognitive and functional comparisons, the results do not form a consistent pattern of clear separation from placebo. Some estimated differences favor one group numerically, while the corresponding uncertainty remains substantial. The sponsor's analyses use mixed model repeated measures for ADAS-Cog₁₃ and ANCOVA for ADCS-iADL and iADRS. The unadjusted recalculations are not equivalent to those sponsor models and should be read as secondary descriptive checks.

Secondary outcomes can help assess whether patterns across biological, cognitive, and functional measures align, but a coherent interpretation requires attention to the different scales, models, and missing data. A result on a cognitive or functional scale cannot be treated as confirmation of a PET result simply because the direction appears similar. Conversely, a secondary outcome that differs numerically does not overturn the primary analysis.

Unadjusted secondary results carry less weight because many outcome and treatment comparisons create more opportunities for chance findings. The registry record does not report a multiplicity-adjustment strategy for these results. Without a stated plan, individual secondary p-values should be treated as exploratory rather than as independent confirmatory evidence. The overall pattern is more informative than selecting one isolated estimate, but it remains limited by the available analysis details and endpoint group sizes.

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

9. Statistical Interpretation

Clinical Biostats interpretation

The primary endpoint group means were 0.02 for 3 mg LY3202626, 0.03 for 12 mg LY3202626, and 0.01 for placebo. These are mean changes from baseline in SUVr. The recalculated, unadjusted difference between 3 mg and placebo was 0.01, with a p-value of 0.703. For 12 mg versus placebo, the recalculated difference was 0.02, with a p-value of 0.446. The recalculated confidence intervals for both comparisons include zero, so these summaries are compatible with no difference as well as with differences in either direction.

The registry's own primary analyses used ANCOVA and reported p-values of 0.418 for 3 mg versus placebo and 0.231 for 12 mg versus placebo. The registry does not post an adjusted effect estimate or confidence interval for these comparisons. The sponsor-reported p-values and the unadjusted recalculations answer related but not identical statistical questions: the ANCOVA accounts for specified baseline covariates, while the simple recalculations use posted group summaries. The sponsor's model-based analyses are the relevant analyses for the registry's stated primary method.

Neither set of posted results establishes a clear separation between either dose and placebo on this endpoint. That is not evidence that the treatments are equivalent, and it does not prove that there is no biological effect. The endpoint groups are limited in size, and the recalculated intervals are broad enough to accommodate a range of possible differences. The record does not report a prespecified equivalence margin or a clinically meaningful threshold for SUVr, so equivalence cannot be assessed from these results.

The registry also posts secondary cognitive and functional outcomes. Across those outcomes, sponsor-reported p-values and unadjusted recalculations do not show a consistent pattern of clear separation from placebo. Some point estimates differ between groups, but uncertainty is substantial and the secondary analyses are not substitutes for the primary PET endpoint. Because multiple outcomes and comparisons are present, isolated numerical differences or p-values should be treated cautiously, especially when the record does not report a multiplicity-adjustment plan.

Interpretation is limited by the information available in the registry record. The primary endpoint population is defined, but the record does not explain the reasons all enrolled participants are not represented in the posted endpoint groups, or give a complete account of missing scans and exclusions. The registry does not report the original sample-size justification, interim analyses, or a detailed statistical analysis plan. Those omissions limit assessment of how the posted analyses relate to all planned analyses and how robust the findings are to alternative assumptions.

10. Statistical Methods Explained

Several statistical ideas help distinguish the reported trial analysis from the simple recalculations. The points below describe general concepts and then relate them to the methods named in the registry record.

What does a group mean describe?

For a continuous outcome such as change in SUVr, a mean is an average of the observed values in a group. It gives a compact description of the group's central tendency, but it does not show the range of individual responses or whether the distribution is symmetric. The posted primary outcome gives a mean and standard deviation for each dose group and placebo. The standard deviation describes variation among the observations; it is not the same thing as uncertainty in the estimated mean.

The primary groups have mean changes of 0.02, 0.03, and 0.01 for 3 mg, 12 mg, and placebo, respectively. The posted standard deviations are 0.04, 0.04, and 0.08. The observed spread is therefore not identical across groups. With modest endpoint group sizes, estimates of both group means and between-group differences can be imprecise.

What does a mean difference represent?

A mean difference contrasts the average outcome in a treatment group with the average in the placebo group. The recalculated differences are 0.01 for 3 mg versus placebo and 0.02 for 12 mg versus placebo. A positive difference means the treatment-group mean change is numerically greater than the placebo mean change under the subtraction order used in the recalculation. The sign alone does not establish whether the result is clinically favorable; that depends on the outcome's interpretation and the study question.

These recalculations are unadjusted comparisons based on posted summary statistics. They do not reproduce the sponsor's ANCOVA. The ANCOVA compares treatment groups while accounting for baseline Tau PET SUVr and age at baseline, as described in the primary endpoint record. Adjustment can alter an estimated treatment contrast or its uncertainty, particularly when baseline measures are associated with the outcome. The registry does not provide the adjusted estimates, so their size and direction cannot be compared directly with the recalculated differences.

Why use ANCOVA?

In general, analysis of covariance combines a group comparison with adjustment for continuous covariates. Including a baseline measure can account for initial differences in the outcome measure and can improve precision when that baseline measure predicts follow-up values. Age at baseline is another specified covariate in this trial's endpoint model. Treatment dose is represented as a fixed categorical effect, allowing the model to estimate group differences rather than assuming dose has a linear effect.

The primary description identifies the covariates and the model family, but it does not report all details needed to reproduce the analysis. For example, the registry record does not report the complete model specification, handling of missing scans within the model, diagnostic checks, or the exact approach to any multiplicity. Those details should not be inferred from the word ANCOVA alone.

How should p-values be read?

A p-value describes how unusual data at least as incompatible with a specified null hypothesis would be if that null hypothesis and the model assumptions were true. It is not the probability that the null hypothesis is true, and it does not quantify the size or clinical importance of a difference. The sponsor-reported primary p-values are 0.418 and 0.231. The unadjusted recalculated p-values are 0.703 and 0.446. These should be interpreted alongside the effect estimates and their uncertainty, not as stand-alone measures of evidence.

The primary endpoint record labels the sponsor's comparisons as superiority analyses. A superiority test asks whether evidence supports a difference in a specified direction or, depending on its implementation, any difference. It does not test whether treatments are equivalent. Demonstrating equivalence would require an equivalence margin and a suitable analysis, neither of which is reported in the registry record.

Why do estimates and p-values differ across analyses?

The recalculated comparisons use the posted means, variation estimates, and group sizes to make simple unadjusted comparisons. The sponsor's primary analysis uses ANCOVA and adjusts for baseline Tau PET SUVr and age. The analyses can therefore produce different p-values without either being a transcription error. They target different model-based contrasts and may use different information or assumptions. The recalculated interval estimates are not replacements for missing sponsor-reported adjusted intervals.

For the recalculated primary comparisons, both intervals include zero. In general, a confidence interval gives a range of effect estimates compatible with the data under the interval's method and assumptions. Its width reflects precision: a wider interval is less informative about the size of the underlying difference. A confidence interval does not assign probability to a fixed effect after the data have been observed. The registry's adjusted confidence intervals are not reported.

Why can over-dispersion matter?

Over-dispersion is a general concern when observed variation is greater than a model assumes. In such cases, a model can understate uncertainty if its variance assumptions are too restrictive. For continuous outcomes, the standard deviation helps describe observed variation; for other outcome types, model-specific dispersion assumptions may be important. The registry entries do not identify over-dispersion as a problem in this trial, so it should not be claimed that it occurred. The concept matters as a general reminder that uncertainty depends on whether the model represents the data's variability adequately.

The secondary outcomes use different measures and analysis methods, including mixed model repeated measures and ANCOVA. Those methods can use repeated observations or adjust for covariates, but the registry record does not provide enough detail to reconstruct every model. The recalculated secondary comparisons are simple summaries, not substitutes for those longitudinal or adjusted analyses. Where the posted analysis method differs from the recalculation, the sponsor's model is the one that corresponds to the registry's reported analysis.

11. Confidence Intervals and Precision

Precision concerns how tightly an estimate identifies the plausible size of a group difference. The recalculated primary intervals for both dose-versus-placebo comparisons include zero. This means the summaries do not pin down a clear direction of difference. Their breadth also indicates that the point estimates should not be read as precise measurements of the underlying treatment contrasts.

The reported primary group means are close in numerical terms, but closeness of point estimates is not proof of equivalence. The endpoint groups include 15 participants for each LY3202626 dose and 11 for placebo. Such group sizes can leave substantial uncertainty, particularly when variability is present. The posted standard deviations are 0.04, 0.04, and 0.08, respectively. These describe observed spread in the endpoint groups, not the precision of the sponsor's adjusted estimates.

The recalculated intervals are unadjusted and are not the intervals from the registry's ANCOVA. The registry record does not post adjusted confidence intervals or identify the confidence level for the sponsor analysis. Consequently, the recalculated intervals can help illustrate uncertainty from the summary statistics, but they cannot be used as a direct report of the sponsor's model-based precision.

More generally, a confidence interval is a range generated by a statistical procedure that, under its assumptions, is designed to cover the underlying parameter at a specified long-run rate. Its interpretation depends on the method and assumptions. A wide interval is compatible with a broader range of effects; a narrow interval gives a more precise estimate. Neither width nor inclusion of zero alone settles clinical importance. The registry record does not report a threshold for a clinically meaningful SUVr difference, so the precision of these estimates cannot be translated into a judgment about clinical relevance.

12. Planning a Similar Trial: Sample Size

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

Effect to detectParticipants per arm, 80% powerParticipants per arm, 90% power
100% of the observed effect566757
75% of the observed effect1,0051,345
50% of the observed effect2,2613,027
Sample size needed versus the size of the effect to detect
Sample size needed versus size of effect to detect5001,0002,0005,00010,00040%60%80%100%80% power90% powersize of effect to detect, as % of the effect observed (log vertical scale: participants per arm)
Treat these figures cautiously. The observed difference is imprecise: its confidence interval includes no difference at all. A sample size built on a noisy estimate can be far too small or too large, so the smaller-effect rows are the more cautious guide.
Method and assumptions. Two-sided α = 0.05, 1:1 allocation, two-sample comparison of means with the pooled standard deviation. Calculated for the comparison: 3 mg LY3202626.

The planning figures are participants per arm, not total events. They illustrate the group size a hypothetical future comparison might require under the stated calculation assumptions. They are not the original design targets for this trial; the trial's own sample-size assumptions and justification are not reported in the registry record.

The illustration assumes a two-sided significance level of 0.05, equal allocation between the two arms, and a normal approximation. It uses the observed effect as its starting point, then considers planning for 100%, 75%, or 50% of that observed effect. The 80% power column gives the participants per arm for a design with an 80% chance of detecting the specified effect under those assumptions, if that effect is real and the model assumptions hold. The 90% power column gives the corresponding group size for a 90% chance.

Smaller effects require more participants to detect under otherwise similar assumptions. This is why the planning illustrations increase when the target is 75% or 50% of the observed effect. In comparisons where the observed difference is especially small, the resulting illustrations can become very large. Such values are not recommendations; they are sensitive to the observed effect, which can itself be unstable in small groups.

These are planning illustrations, not observed power. They do not tell whether the completed study had a particular probability of success, and they do not establish that an effect is real. The figures also do not account for design features or analysis choices beyond the stated assumptions. The registry record does not report the original design assumptions, so these calculations should be kept separate from the study's actual planning rationale.

13. How the Sample Size Is Derived

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

Formula

n = 2 (z1−α/2 + z1−β)2 σ2 / Δ2

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

Worked calculation for this trial

  1. Observed difference Δ = 0.010; pooled standard deviation σ = 0.060.
  2. n = 2 × (1.96 + 0.842)2 × 0.0602 / 0.0102 = 565.1, rounded up to 566 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 <- 0.01                      # observed difference in means
sigma <- 0.06                     # 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(2791191)
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 = 566 (80% power), 757 (90% power)
 75% of observed effect: n per arm = 1,005 (80% power), 1,345 (90% power)
 50% of observed effect: n per arm = 2,261 (80% power), 3,027 (90% power)
power.t.test: 566.1 
Simulated power at n = 566 per arm: 0.797 (20000 replicates)

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

14. Analyses Reported by the Sponsor

MethodEstimate95% CIP-value
ANCOVAnot reported0.418
ANCOVAnot reported0.231

The registry's own primary analyses compare each LY3202626 dose with placebo using ANCOVA. The reported p-values are 0.418 for 3 mg versus placebo and 0.231 for 12 mg versus placebo. The record does not post the corresponding adjusted effect estimates or confidence intervals.

The recalculated comparisons are simple unadjusted analyses of posted summary statistics. They estimate mean differences of 0.01 for 3 mg versus placebo and 0.02 for 12 mg versus placebo, with p-values of 0.703 and 0.446, respectively. The recalculated intervals include zero. These results are not intended to replace the ANCOVA, which adjusts for treatment dose, baseline Tau PET SUVr, and age at baseline according to the endpoint description.

The p-values differ because the recalculation and sponsor analysis do not use the same model. An adjusted analysis can account for covariates and may use information differently from a summary-statistic comparison. The registry does not report enough model output to reproduce the sponsor's estimates or explain the precise numerical difference between the analyses. Because the discrepancy flag is false, there is no recorded conflict that would displace the sponsor's own analysis. The sponsor's ANCOVA is the primary registry analysis; the recalculation is a supplementary, unadjusted check.

15. Multiplicity, Missing Data and Analysis Populations

Multiplicity arises when a study evaluates several outcomes, treatment comparisons, time points, or analysis choices. Even when each individual test is conducted carefully, conducting many tests increases the chance that at least one result will appear notable by chance. A prespecified strategy can control how results are interpreted, for example by defining a testing order or adjusting significance criteria. The registry lists 30 analyses and multiple secondary outcomes, but a multiplicity strategy is not reported in the registry record.

The primary outcome compares 3 mg with placebo and 12 mg with placebo. The registry identifies both as superiority analyses, but does not report whether the primary comparisons were handled within a hierarchy or whether any adjustment was planned. Accordingly, the reported p-values should be interpreted with the model and stated primary question in mind, without assuming an unreported testing procedure.

Missing data are also relevant. The primary endpoint population required at least one dose, a baseline scan, and at least one post-baseline scan. The posted primary groups contain fewer participants than the registry's enrollment figure. The record does not explain all differences between enrollment and endpoint analysis, provide a complete accounting of missing scans, or state the assumptions used for any missing endpoint data. It also does not describe sensitivity analyses for alternative missing-data assumptions.

The analysis population is defined for the primary endpoint, but that definition is not the same as a full intention-to-treat analysis of every randomized participant. The registry record does not report enough detail to determine how all randomized participants were handled across endpoints, whether exclusions occurred after randomization, or whether analyses followed the originally assigned groups in every case. These are material questions because exclusion or missingness can affect comparability if related to prognosis or treatment experience.

The ANCOVA method and primary covariates are described, but a complete statistical analysis plan is not reported in the registry record. Interim analyses, stopping rules, sample-size justification, model diagnostics, and the detailed handling of missing values are not reported in the registry record. Their absence from this record does not establish that such plans or procedures did not exist; it means they cannot be assessed from the registry information analyzed.

16. Safety Results

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

ArmParticipants with serious adverse eventsParticipants at riskPercentage
3 mg LY3202626105518.2%
12 mg LY320262681276.3%
Placebo101337.5%
Participants with at least one serious adverse event
Serious adverse events by arm3 mg LY320262618.2%12 mg LY32026266.3%Placebo7.5%% of participants with at least one serious adverse event

Deaths

ArmDeaths (participants affected of at risk)
3 mg LY32026260 of 55
12 mg LY32026260 of 127
Placebo0 of 133

Other (non-serious) adverse events

Participants with at least one non-serious event at or above the registry's 0% reporting threshold.

ArmParticipants affected of at risk
3 mg LY320262646 of 55
12 mg LY320262697 of 127
Placebo91 of 133

Most frequent serious adverse event terms

Event termOrgan system3 mg LY320262612 mg LY3202626Placebo
FallInjury, poisoning and procedural complications1 of 551 of 1271 of 133
Angina pectorisCardiac disorders1 of 550 of 1271 of 133
Gait disturbanceGeneral disorders0 of 552 of 1270 of 133
SyncopeNervous system disorders0 of 551 of 1271 of 133
Haemorrhagic anaemiaBlood and lymphatic system disorders0 of 550 of 1271 of 133
Cardiac failure congestiveCardiac disorders0 of 550 of 1271 of 133
Coronary artery diseaseCardiac disorders1 of 550 of 1270 of 133
Duodenal ulcerGastrointestinal disorders1 of 550 of 1270 of 133
Gastrointestinal haemorrhageGastrointestinal disorders1 of 550 of 1270 of 133
Small intestinal obstructionGastrointestinal disorders1 of 550 of 1270 of 133

Most frequent non-serious adverse event terms

Event termOrgan system3 mg LY320262612 mg LY3202626Placebo
NasopharyngitisInfections and infestations7 of 5514 of 1277 of 133
Upper respiratory tract infectionInfections and infestations5 of 556 of 1277 of 133
FallInjury, poisoning and procedural complications1 of 558 of 1278 of 133
ContusionInjury, poisoning and procedural complications1 of 5511 of 1274 of 133
DiarrhoeaGastrointestinal disorders2 of 556 of 1276 of 133
ArthralgiaMusculoskeletal and connective tissue disorders2 of 554 of 1278 of 133
Urinary tract infectionInfections and infestations3 of 557 of 1273 of 133
CoughRespiratory, thoracic and mediastinal disorders6 of 555 of 1272 of 133
FatigueGeneral disorders0 of 555 of 1277 of 133
HeadacheNervous system disorders5 of 554 of 1272 of 133

Serious events with the highest arm-level rate: angina pectoris (1.8%), coronary artery disease (1.8%), duodenal ulcer (1.8%), gastrointestinal haemorrhage (1.8%), small intestinal obstruction (1.8%).

Do not overextend the safety comparison. Serious-adverse-event counts are safety observations, not efficacy outcomes, and should not be combined with the primary result into a single benefit-risk number.

The safety record reports serious adverse events by treatment group and gives the number at risk and number affected. For 3 mg LY3202626, 55 participants were at risk and 10 had a serious adverse event. For 12 mg, 127 were at risk and 8 were affected. For placebo, 133 were at risk and 10 were affected. Deaths were recorded as 0 in each group.

These counts are not a complete comparison of all possible harms. They describe serious adverse events as recorded in the registry, using the stated at-risk groups. The record also lists serious adverse event terms with a reported percentage of 1.8% for each of angina pectoris, coronary artery disease, duodenal ulcer, gastrointestinal haemorrhage, small intestinal obstruction, and cystitis. The registry entries do not specify enough detail to establish whether the listed terms are mutually exclusive or to infer a total number of events by adding them.

Differences in group sizes and exposure, event definitions, follow-up, and chance can affect interpretation of safety counts. The registry record does not provide a full account of event timing, severity beyond the serious classification, relatedness, or all non-serious adverse events in the registry record for this analysis. These counts therefore describe the posted serious-event information but do not by themselves establish comparative safety.

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

The primary results show that the posted mean change in tau PET SUVr was 0.02 in the 3 mg group, 0.03 in the 12 mg group, and 0.01 in the placebo group. The sponsor's ANCOVA comparisons reported p-values of 0.418 and 0.231. The registry does not provide adjusted effect estimates or adjusted confidence intervals. The unadjusted recalculations give small mean differences, and their intervals include zero.

These findings do not establish a clear difference between either LY3202626 dose and placebo on the primary PET endpoint. They also do not establish equivalence or prove that the true effect is exactly zero. The endpoint groups are limited in size, and the recalculated intervals are compatible with a range of possible underlying differences. The registry does not report a clinically meaningful threshold for a change in SUVr, so the clinical importance of a particular numerical contrast cannot be determined from this record.

The primary measure is a biological imaging endpoint. It does not directly measure symptoms, daily functioning, or the overall course of Alzheimer's disease. A result on this endpoint cannot alone show whether participants experienced a meaningful change in their lives. The secondary cognitive and functional outcomes provide related but distinct information, and their results should not be combined into a single conclusion without considering their own scales, models, and multiplicity.

The safety counts report serious adverse events and deaths, but they do not capture every aspect of risk or establish a treatment effect on safety. Likewise, the trial's terminated status is a registry classification; the reason for termination is not reported in the registry record. Taken together, the posted results describe the evidence available for this study, not a general conclusion about all participants with Alzheimer's disease dementia, all doses, or other treatment settings.

18. Why This Trial Matters Statistically

This study is statistically instructive because it places a biological imaging endpoint at the center of a randomized comparison while also posting cognitive, functional, and safety outcomes. It highlights the distinction between a biomarker-oriented measure and outcomes that more directly reflect cognition or daily activities. That distinction matters when translating a statistical contrast into a claim about clinical progression.

The record also illustrates why analysis populations and model descriptions deserve close attention. Enrollment is 316, while the primary endpoint results are reported for smaller groups meeting a scan-based population definition. The ANCOVA description identifies baseline Tau PET SUVr and age as covariates, but the registry does not provide the adjusted estimates or the complete model output. Readers can therefore distinguish the sponsor's specified approach from a simple summary-statistic recalculation, but cannot fully reproduce the primary analysis from the posted information.

Another important lesson is that non-significant results do not demonstrate no effect. The estimates, p-values, and intervals must be considered together, and the uncertainty in the recalculated comparisons is substantial. At the same time, an observed numerical difference should not be presented as a confirmed effect when the sponsor's analysis does not show clear separation and the registry does not report an equivalence design or clinically meaningful threshold.

Finally, the record contains multiple outcomes and analyses. Without a reported multiplicity strategy, secondary findings require cautious interpretation. The study therefore provides a practical example of how randomized design, covariate adjustment, endpoint choice, precision, missingness, and multiple testing jointly shape what can reasonably be concluded from clinical-trial results.

19. Limitations

Several limitations are specific to the information posted for this trial. First, the primary endpoint analysis groups are much smaller than the enrollment figure, and the registry does not provide a full accounting of why participants are absent from the endpoint results. The defined population required baseline and post-baseline PET scans, so the reported endpoint pertains to participants meeting that scan criterion rather than necessarily to every randomized participant.

Second, the sponsor-reported ANCOVA p-values are available, but adjusted effect estimates and confidence intervals are not. The unadjusted recalculations cannot fill that gap because they do not adjust for baseline Tau PET SUVr and age. Their intervals and p-values should not be mistaken for outputs from the sponsor's model.

Third, the registry record does not report the original sample-size justification, detailed missing-data methods, interim analyses, or a full multiplicity plan. These omissions restrict evaluation of whether the completed analysis followed all planned procedures and how sensitive results might be to alternative assumptions. The reason for the terminated status is also not reported in the registry record.

Finally, the primary outcome is a PET SUVr measure, and the record does not identify a threshold for a clinically meaningful change. The findings therefore have limits both in statistical precision and in the clinical interpretation of a numerical biomarker contrast. Secondary outcomes involve different measures and models, and the multiple analyses make isolated findings less persuasive without a documented adjustment strategy.

20. Related Tutorials

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23. Record Summary

The registry describes a phase 2 randomized, triple-masked, parallel-group study of 3 mg or 12 mg LY3202626 versus placebo in mild Alzheimer's disease dementia. Each regimen was taken orally once daily for 52 weeks. Enrollment was 316, and the study is marked terminated.

The primary endpoint was change from baseline in ¹⁸F-AV-1451 PET SUVr at Week 52. Sponsor-reported ANCOVA p-values were 0.418 for 3 mg versus placebo and 0.231 for 12 mg versus placebo. The registry does not post adjusted effect estimates or confidence intervals. Unadjusted recalculations show small mean differences with intervals that include zero.

The registry posts secondary cognitive, functional, imaging, pharmacokinetic, amyloid, and safety outcomes. Interpretation is limited by small primary endpoint groups, incomplete reporting of missing-data and multiplicity methods, and the absence of the trial's original sample-size justification in the registry record.

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