Related Experiment Video
Updated: Jul 3, 2026

Problem-Solving Before Instruction (PS-I): A Protocol for Assessment and Intervention in Students with Different Abilities
Published on: September 11, 2021
Sample size determination for decision-centered pragmatic trials
Iztok Hozo1, Lars G Hemkens2, Benjamin Djulbegovic3
1Department of Mathematics, Indiana University Northwest, Gary, Indiana, USA.
This study introduces a decision-analytic method for determining sample size in pragmatic randomized trials (RCTs). This approach can significantly reduce participant numbers compared to traditional methods, making research more efficient and ethical.
Area of Science:
- Clinical Trials Methodology
- Decision Analysis
- Biostatistics
Background:
- Pragmatic randomized trials (RCTs) are crucial for comparing real-world treatment options.
- Determining appropriate sample size in pragmatic RCTs is challenging, balancing ethical considerations and resource allocation.
- Existing methods for sample size determination in pragmatic RCTs are limited.
Purpose of the Study:
- To develop a decision-analytic (DA) method for sample size determination in pragmatic RCTs.
- To anchor sample size calculations to stakeholder-defined minimally important differences (MIDs).
- To enable selection of the superior treatment based on net clinical benefit.
Main Methods:
- Modeled a two-arm RCT using a decision tree incorporating treatment benefits and harms.
- Weighted outcomes by stakeholder values and preferences (relative value, RV).
- Set sample size to ensure expected loss from wrong decisions (γ·Δ) does not exceed acceptable regret (ARg).
Main Results:
- The DA approach required approximately half the participants compared to conventional frequentist designs (mean N=89 vs. 168).
- Sample size reductions in three of four recent pragmatic trials ranged from 47% to 72%.
- The framework identified potential issues in one trial, highlighting the need to align effect size, stakeholder preferences, and decision risk.
Conclusions:
- Designing pragmatic RCTs around decision quality offers transparency and ethical coherence.
- The DA method can substantially reduce sample size, potentially lowering accrual barriers.
- This approach accelerates the generation of actionable pragmatic evidence.
Related Concept Videos
Sample Size Calculation
The sample size for the given experiment or sampling effort is fundamental to any study design. Sample size decides the number of...
Randomized Experiments
Simple randomization
Simple...
Testing a Claim about Population Proportion
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
Decision Making: P-value Method
First, a specific claim about the population parameter is proposed. The claim is based on the research question and is stated in a simple form. Further, an opposing statement to the claim is also stated. These statements can act as null and alternative hypotheses: a null hypothesis would be a neutral statement while the alternative hypothesis can have a...
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...
Testing a Claim about Standard Deviation
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
