Preliminary estimates of the effect sizes for improvement in overall cognition (cognitive composite score) with aerobic exercise training are based on the results of a previous study from our group, the Brain in Motion Study [52], that used similar active intervention and outcome. This study will recruit a total of 264 participants. This power calculation, which is based on a sample size calculation formula for a mixed model for repeated measures data with attrition [53], provides 80% power to detect 0.4 standard deviation between-group difference for an average repeated measurement correlation of 0.6 and three repeated measurements, taking 20% attrition into consideration (based on the Brain in Motion Study [52];).

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