Practical help for specifying the target difference in sample size calculations for RCTs: the DELTA2 five-stage study, including a workshop

This Difference ELicitation in TriAls2 (DELTA2) advice and recommendations document aims to help researchers choose the ‘target difference’ in a type of research study called a randomised controlled trial. The number of people needed to be involved in a study – the sample size – is usually based on a calculation aimed to ensure that the difference in benefit between treatments is likely to be detected. The calculation also accounts for the risk of a false-positive finding. No more patients than necessary should be involved. Choosing a ‘target difference’ is an important step in calculating the sample size. The target difference is defined as the amount of difference in the participants’ response to the treatments that we wish to detect. It is probably the most important piece of information used in the sample size calculation. How we decide what the target difference should be depends on various factors. One key decision to make is how we should measure the benefits that treatments offer. For example, if we are evaluating a treatment for high blood pressure, the obvious thing to focus on would be blood pressure. We could then proceed to consider what an important difference in blood pressure between treatments would be, based on experts’ views or evidence from previous research studies. This document seeks to provide assistance to researchers on how to choose the target difference when designing a trial. It also provides advice to help them clearly present what was done and why, when writing up the study proposal or reporting the study’s findings. The document is also intended to be read by those who decide whether or not a proposed study should be funded. Clarifying a study’s aim and getting a sensible sample size is important. It can affect not only those involved in the study, but also future patients who will receive treatment.