Related Experiment Video
Updated: Apr 15, 2026

Problem-Solving Before Instruction PS-I: A Protocol for Assessment and Intervention in Students with Different Abilities
Published on: September 11, 2021
The effect of cluster size variability on statistical power in cluster-randomized trials
Stephen A Lauer1, Ken P Kleinman2, Nicholas G Reich1
1Division of Biostatistics and Epidemiology, School of Public Health and Health Sciences, University of Massachusetts, Amherst, MA, USA.
Cluster-randomized trials (CRTs) are increasingly used, but variable cluster sizes can reduce statistical power. This study shows that greater variation in cluster size generally decreases the power of CRTs.
Area of Science:
- Biostatistics
- Clinical Trials Methodology
- Epidemiology
Background:
- Cluster-randomized trials (CRTs) are essential for interventions not feasible at the individual level.
- CRT design and analysis present complexities compared to individually randomized trials.
- Accurate sample size calculation, including cluster number, is crucial for CRT statistical power.
Purpose of the Study:
- To investigate the impact of variable cluster sizes on the statistical power of CRTs.
- To evaluate how deviations from a fixed mean cluster size assumption affect trial power.
Main Methods:
- A simulation study was conducted to assess statistical power under varying cluster sizes.
- The simulation examined the relationship between cluster size variability and power.
Main Results:
- Increased variability in cluster size generally leads to a reduction in statistical power for CRTs.
- This effect highlights a potential pitfall in sample size calculations that assume fixed cluster sizes.
Conclusions:
- Researchers must account for potential cluster size variation when designing CRTs.
- Failure to consider cluster size variability may lead to underpowered studies and inaccurate conclusions.
Related Concept Videos
Cluster Sampling Method
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
Sampling Plans
Random sampling is a method where each member of the population has an equal chance of being selected for the sample. It involves selecting individuals randomly, often using random number generators or lottery-type methods. For example, when analyzing the properties of a...
Randomized Experiments
Simple randomization
Simple...
One-Way ANOVA: Equal Sample Sizes
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
One-Way ANOVA: Unequal Sample Sizes
Accuracy and Errors in Hypothesis Testing
In hypothesis testing, the probability of making a Type I error, denoted as α, is commonly set at 0.05. This significance level indicates a 5%...
