03 · What You Need to Know
How Sample Size and Stopping Rules Should Be Preregistered
Sample Size and Stopping Rules Are Related but Different Decisions
Sample size concerns how many participants, observations, clusters, events, or other units the study intends to obtain. A stopping rule specifies the circumstances under which data collection will end.
A study might target 300 participants and stop when that number has completed the primary assessment. Another might recruit until a specified calendar date, even if fewer than 300 participants are obtained. A third might use a sequential statistical procedure with predetermined interim evaluations.
These designs can produce different amounts of information and different inferential properties.
Sample-size target
The intended number of participants or other relevant units, together with the rationale for that number.
Stopping rule
The condition or decision procedure that determines when recruitment, observation, or data collection ends.
Specifying one without the other can leave important discretion unresolved. For example, a target of 200 participants does not explain whether recruitment will continue if some participants withdraw or whether data collection may end early because the observed result appears favorable.
Why Does Outcome-Dependent Stopping Matter?
Under conventional fixed-sample null-hypothesis significance testing, the analysis is ordinarily calibrated for a particular sampling and testing procedure. Repeatedly examining the accumulating results and stopping when a conventional significance threshold is crossed can change the probability of a false-positive conclusion.
This practice is often called optional stopping. Its consequences depend on the statistical framework, the frequency and nature of interim examinations, and the rule used to make decisions.
Consider a researcher who tests the same null hypothesis after every additional group of participants and stops as soon as the p-value falls below 0.05. The final p-value cannot automatically be interpreted as though the researcher conducted one prespecified fixed-sample test.
Not every form of interim monitoring is inappropriate. Group-sequential designs, alpha-spending approaches, and appropriately constructed anytime-valid methods can accommodate planned interim decisions. The important distinction is whether the inferential procedure accounts for the stopping process.
What Exactly Should Be Included in the Sample-Size Specification?
A meaningful preregistration should explain more than the intended number of participants.
| Element |
What to specify |
Why it matters |
| Unit of sampling |
Participants, classrooms, schools, events, or other units. |
Clarifies the actual amount and structure of information. |
| Target sample |
The intended number at the relevant recruitment or analysis stage. |
Distinguishes recruitment targets from analyzable observations. |
| Justification |
Power, precision, feasibility, information needs, or another appropriate rationale. |
Explains why the target was selected. |
| Expected attrition |
Anticipated losses and any recruitment allowance. |
Clarifies the relationship between enrollment and final analysis. |
| Recruitment window |
Opening and closing conditions or dates, when relevant. |
Defines operational limits. |
| Stopping conditions |
Target reached, time limit, information threshold, or planned interim decision. |
Limits ambiguity about when collection ends. |
| Contingencies |
Procedures for slow recruitment, unexpected attrition, or other foreseeable problems. |
Supports transparent adaptation. |
For clustered or longitudinal designs, the number of clusters, observations per cluster, repeated measurements, and assumptions about dependence may be more informative than a participant count alone.
How Should You Justify a Sample-Size Target?
The appropriate justification depends on the research objective and inferential framework.
In a confirmatory experiment, an a priori power analysis may be suitable. It typically considers the target effect size, significance threshold, desired power, variability, and design characteristics. These inputs should be scientifically justified rather than selected merely to produce a convenient sample size.
For estimation-focused studies, a precision-based calculation may be more appropriate. Instead of asking how many observations are needed to reject a null hypothesis, researchers may ask how many are needed to estimate a parameter with a desired level of uncertainty.
Some studies are constrained by the number of eligible participants or available cases. A feasibility-based justification can be transparent, but researchers should explain the resulting limitations rather than claim that a convenient sample is automatically sufficient.
In qualitative research, sample planning may depend on the analytic approach, research scope, heterogeneity, information power, or evolving assessment of the material collected. These considerations should not be forced into an inappropriate statistical power calculation.
How Do You Calculate Sample Size for a Simple Comparison?
For illustration, consider a two-group comparison of independent means with equal allocation, a common outcome standard deviation, a two-sided significance threshold, and a normal-approximation sample-size formula.
This approximation is useful for explaining the logic of sample-size planning, not as a universal calculation. A real study may require an exact or software-based procedure, different assumptions, unequal allocation, adjustment for clustering, or a simulation-based calculation.
The result does not establish that a sample of 126 guarantees detection of an effect, that the assumed effect size is correct, or that a nonsignificant result would demonstrate the absence of a meaningful effect.
Should Recruitment Stop at the Target Number or Continue Until Enough Data Are Complete?
The preregistration should distinguish the number recruited, the number enrolled or randomized, and the number expected to contribute to the primary analysis.
For example, if the objective is to obtain 180 completed assessments and the anticipated completion rate is 90%, researchers might plan to recruit approximately 200 participants. This allowance should be documented in advance.
However, replacing participants after randomization or excluding those with missing outcomes can create methodological problems. In randomized research, the analysis population and missing-data strategy should be consistent with the intended estimand and the prespecified participant eligibility rules.
Researchers should avoid making replacement decisions based on observed treatment effects. If recruitment continues to compensate for missing data, the procedure and relevant limits should be defined clearly.
Can You Preregister Sequential or Adaptive Stopping?
Yes. Preregistration does not require every study to use a fixed sample size.
A group-sequential design may specify several interim analyses and stopping boundaries for efficacy, futility, or safety. An adaptive design may permit particular changes based on accumulating information, provided the design and statistical analysis appropriately account for those adaptations.
For such studies, prespecification should address the maximum sample size, timing of interim analyses, information used for decisions, stopping boundaries, and final inferential method.
Safety monitoring may also require action when unexpected risks emerge, regardless of whether a planned statistical boundary has been reached. Participant protection obligations take precedence over maintaining an unchanged research plan.
Sequential designs require appropriate statistical expertise. Merely stating that recruitment will stop when results become significant is not a sufficient sequential analysis plan.
Can You Increase or Decrease the Sample Size After Preregistration?
Changes may be justified by recruitment feasibility, funding, unexpected attrition, revised measurement assumptions, or other methodological considerations.
The critical issue is whether the change was influenced by observed outcomes and whether the intended inferential procedure remains valid.
An increase made before examining treatment differences, based on a documented feasibility problem or blinded nuisance-parameter reassessment, raises different concerns from an increase motivated by a nearly significant treatment effect.
When a revision is necessary, record the original target, revised target, reason, timing, information available, and implications for analysis. Preserve the original registration and follow the procedures for documenting preregistration amendments.
Do Qualitative Studies Need Fixed Numerical Stopping Rules?
Not universally. In qualitative inquiry, the appropriate stopping rationale depends on the methodology and analytic purpose.
Some studies use a planned sample range informed by information power, variation across participants, or practical constraints. Others use iterative sampling and reassess whether further data are likely to contribute meaningfully to the analysis.
Researchers should explain the intended sampling strategy, the basis for deciding whether additional data are needed, and the circumstances under which recruitment may end.
The concept of saturation is used in some qualitative traditions but is not universally appropriate. Reflexive thematic analysis, for example, may involve different assumptions about coding and theme development from approaches that treat saturation as a measurable endpoint.
The relevant question is addressed further through preregistration for qualitative research.