Background
Regression to the mean (RTM) is a statistical phenomenon where second measurements are more likely to be closer to the mean. This is particularly observed in those with baseline values further from the mean. Anemic individuals (hemoglobin < 120g/L) are often recruited when evaluating iron supplementation programs, as they are more likely to elicit a greater hemoglobin response; however, they are also at greater risk for RTM as their baseline values are lower than the overall population mean.
Objective
To calculate and apply RTM to a previously conducted iron supplementation trial of women in Cambodia at increasingly severe baseline anemia cut-offs (hemoglobin < 120g/L, <115g/L and <110g/L).
Methods
Women received either 60mg/day iron (n = 191) or placebo (n = 185) for 12 weeks. Hemoglobin was measured at baseline and 12 weeks (endline), and change in hemoglobin was calculated in each group, for each cut-off. RTM was calculated in the placebo group at each cut-off and applied to the change observed at each cut-off in the iron group to obtain the RTM-free effect.
Results
In the placebo group, mean change in hemoglobin increased as cut-offs became more extreme (0.9g/L to 1.9g/L in those with baseline hemoglobin < 120g/L and <110g/L, respectively). RTM estimates similarly increased: 1.0g/L (<120g/L), 1.3g/L (<115g/L), and 1.8g/L (<110g/L). When applying RTM to the iron group, we found that ∼10% of the “treatment effect” could be attributable to RTM at each cut-off. However, iron supplementation was still effective in increasing hemoglobin, with an increased effect in those with lower baseline values, as proven by the RTM-free effect at each cut-off: 8.7g/L (<120g/L), 10.9g/L (<115g/L), and 13.6g/L (<110g/L).
Conclusion
RTM may have accounted for ∼10% of the observed change in hemoglobin following iron supplementation; however, appropriate use of a placebo group in the statistical analyses of the trial controls for this potential RTM effect.