The PREDIMED trial was retracted and republished in 2018 with reanalysed data after a report was published that acknowledged that randomisation appeared to have been subverted for 1588 of 7447 participants.15 The 2018 reanalysis reported deviation from the original randomisation plan including (1) assignment according to household rather than individual across multiple sites (n=425), (2) assignment according to clinic at one site (n=617) and (3) improper use of a randomisation table at one site (n=546).4 In the latter instance, it is possible that allocation was not concealed and investigators were aware of the next assignment based on the randomisation list. Although ‘closed envelopes’ were used to conceal randomisation in the pilot phase, authors reported that envelopes were not used after the pilot trial. Allocation concealment was probably high risk of bias.
1b. At baseline, were participants in the study groups similar with respect to known prognostic factors?
Randomisation may fail to ensure prognostic balance when sample sizes are small. Imagine a small RCT, testing a Mediterranean diet with only eight participants: four women and four men. One would not be surprised if, by chance, all women end up being allocated to the Mediterranean diet and all men were allocated to the control (usual diet) arm. In this case, trial results would be biased showing that women do better than men or vice versa (men do better than women) if sex is a powerful prognostic factor, for a particular outcome with the Mediterranean diet. Were the trial to enrol 2000 participants, one would not expect that randomisation would allocate all 1000 women to one arm and all 1000 men to the other, thus ruling out confounding by biological sex.
Typically, articles that report the findings from RCTs include a table (often, box 1) describing the baseline characteristics of the participants randomised to the intervention group(s) and the control group(s). This allows readers to assess, among other things, the extent to which randomisation facilitated balance of known prognostic factors by comparing the baseline characteristics of the two groups. For most clinical questions evaluated in RCTs, well-known prognostic factors include smoking and socioeconomic status. In well-designed and conducted nutrition trials, among others, known prognostic factors should also include both baseline dietary intakes (while noting the limitations of current methods for determining diet intake) and when possible or relevant to the intervention, indicators of baseline nutrient status if potentially valid biomarkers exist (eg, red blood cell omega-3 fatty acids status, or 25-hydroxyvitamin D status in an omega-3 or vitamin D intervention study). Prognostic factors should mostly be balanced by randomisation; however, in small studies, prognostic imbalance can bias effect estimates.
Several strategies can be applied to explore an imbalance in prognostic factors. For example, investigators can analyse adjusted for prognostic strata (eg, comparing older participants in intervention and control groups to one another, comparing younger participants in the two groups to one another and pooling the two results), an approach known as adjusted or stratified analysis.16 Investigators can also evaluate whether prognostic factors influence observed treatment effects using independent subgroup analyses (eg, subgroups based on age to evaluate whether effects differ between older and younger patients). When considering subgroup analyses, investigators should keep in mind that examining numerous prognostic factors via subgroup analysis may result in spurious and misleading evidence of effect modification, and that criteria for assessing the credibility of subgroup effects exist (ie, likelihood of claims being true and not spurious),17 discussed in part II on RCTs.18
It also should be noted that adjusted or subgroup analyses can only address known and measured prognostic factors, whereas proper randomisation helps ensure balance of all prognostic factors, both known and unknown.