Experimentation & statistics
Calculating minimum detectable effects to set realistic expectations for experiment sensitivity.
Understanding how to compute the smallest effect size detectable in a study, and why this informs credible decisions about experimental design, sample size, and the true power of an analysis.
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Published by Frank Miller
July 16, 2025 - 3 min Read
In experimental research, the minimum detectable effect (MDE) represents the smallest true impact you have a high probability of observing given your design, sample size, and noise. This concept matters because it translates abstract power calculations into actionable thresholds for what counts as a meaningful result. Researchers often begin with a target power level, commonly 80 percent, and an acceptable false-positive rate, such as 5 percent. From there, MDE is derived by solving for the smallest effect that would yield statistical significance with the chosen parameters. The practical aim is to align expectations with feasible detection capabilities, avoiding overconfidence about tiny but theoretically interesting effects.
Setting a realistic MDE requires disentangling several moving parts: the noise inherent in measurements, the variance across units, the expected baseline, and the chosen significance level. When these components are strong, even substantial sample sizes may still struggle to detect modest changes. Conversely, low variability and a clear baseline can shrink the required sample to identify practical differences. By explicitly calculating MDE before data collection starts, teams can decide whether a study is worth pursuing, or whether reallocation of resources toward higher-priority hypotheses would yield better returns.
Translating variability into detectable signal in practice
The first step in framing practical thresholds is to articulate what "meaningful" means within the context of the project. Researchers must avoid abstract targets and instead define a concrete effect size that would drive decision-making, such as a detectable lift in conversion rate or a measurable shift in engagement. This requires collaboration between data scientists, product owners, and stakeholders to agree on business or policy implications. Once consensus on practical significance is reached, the statistical framework can be tuned to detect that threshold with the desired confidence, ensuring the study’s outcomes are interpretable and actionable.
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After establishing practical significance, model assumptions deserve careful attention. The choice of metric, whether a mean difference, risk ratio, or standardized effect size, influences the MDE. Equally important are assumptions about data distribution, independence, and potential correlations within data sources. If assumptions fail, the actual power may diverge from the theoretical plan, making the MDE optimistic at best. Simulation-based approaches can help here, enabling analysts to test how robust the MDE is under various plausible scenarios. This forward-looking step protects resources by highlighting potential brittleness before data collection begins.
Practical steps to compute MDE before you run a test
Variability in outcomes is the primary enemy of detection. When noise is high, the same underlying effect becomes harder to observe, raising the MDE. Reducing variance through design choices—such as stratified randomization, blocking, or covariate adjustment—can dramatically shrink the necessary sample size. In some cases, preemptive techniques like baseline augmentation or rerandomization offer practical gains. The key is to quantify how each variance-reduction tactic shifts the MDE and thereby informs decisions about experimental scope and sequencing.
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Beyond variance, the distribution of treatment assignment can affect detectability. Imbalance between groups, carryover effects, or noncompliance can all distort the signal. Planning for these issues by incorporating robust estimators, intention-to-treat analyses, or per-protocol analyses helps preserve power. Simultaneously, sensitivity analyses can reveal how resilient the MDE is to deviations from ideal conditions. By documenting these contingencies, teams provide a transparent account of what kinds of results would be trustworthy and under what circumstances.
Using MDE to guide resource allocation and prioritization
To compute the MDE, begin with the target significance level and power, then incorporate the expected baseline rate and the metric’s variability. Use standard formulas for simple designs or pursue simulations for complex arrangements. The calculation often yields a tangible number, such as a minimum absolute difference or a minimum relative change that can be detected with the planned sample. This upfront clarity helps stakeholders understand the feasibility of the experimental plan and ensures everyone is aligned on what counts as a successful result.
A common pitfall is assuming the MDE is fixed across all experimental contexts. In reality, it shifts with changes in sample size, variance, or baseline levels. Re-evaluating the MDE when any of these factors change keeps design decisions grounded in current realities rather than static expectations. Documenting the assumptions behind the MDE and revisiting them as the study progresses fortifies the credibility of conclusions and reduces the risk of post hoc reinterpretation.
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Communicating MDE findings to non-technical audiences
When teams know the MDE for multiple experiments, they can rank proposals by the practical likelihood of detecting meaningful effects. This helps prevent chasing statistically detectable but business-insignificant differences. By prioritizing experiments with lower MDEs or higher expected impact, organizations allocate resources toward tests that maximize learning per dollar spent. Transparent MDE reporting also clarifies why some experiments proceed while others are deprioritized, supporting a culture of evidence-based decision-making.
Another advantage of MDE awareness is the ability to design adaptive experiments. In adaptive settings, interim results can trigger adjustments to sample size or stopping rules, enabling more efficient exploration of hypotheses with acceptable risk. This approach hinges on pre-specified MDEs and monitoring plans, so teams can draw meaningful conclusions without inflating the false-positive rate. When executed carefully, adaptive strategies align statistical rigor with practical speed, accelerating learning while maintaining reliability.
Explaining the MDE to leaders requires translating statistical nuance into business implications. Emphasize what the detected effect would mean in real terms, such as revenue impact, user experience, or conversion improvements. Use concrete examples and avoid jargon, while still acknowledging uncertainty. Clear visuals illustrating power curves, sample requirements, and potential future scenarios can make the concept tangible. The aim is to build trust that the experimental program is capable of revealing actionable insights, not merely producing p-values.
Finally, embed MDE thinking into the project lifecycle from the outset. Include it in the initial project charter, revisit it during design reviews, and update it when plans change. This discipline ensures that every experiment starts with a grounded expectation of what can be detected and how much learning is realistically achievable. In ongoing practice, teams that routinely incorporate MDE considerations tend to generate more reliable insights, optimize resource use, and demonstrate steady progress toward strategic goals.
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