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Table 3 Range of sample sizes required to estimate PSS-10 effects for a confirmatory RCT comparing aerobic exercise, mindfulness, combination training, and a control arm

From: A 16-week aerobic exercise and mindfulness-based intervention on chronic psychosocial stress: a pilot and feasibility study

Population effect

Target MoE

N required per cell

N adjusted

N required per cell per trial

Feasible

δz

−0.60

0.30

63

89

9

Yes

−0.37

0.18

132

186

19

Yes

δs

0.80

0.40

59

84

9

Yes

0.70

0.35

73

103

11

Yes

0.60

0.30

96

136

14

Yes

0.50

0.25

133

188

19

Yes

0.40

0.20

202

285

29

*Yes

0.30

0.15

352

496

50

No

0.20

0.10

779

1098

110

No

  1. δz = within-group (T1–T0) gain in PSS-10; δs = between-group differences in gain scores between different arms of a future RCT; MoE = margin-of-error (i.e., the 95% confidence interval half-width); N = number of participant; per cell = paired observations (δz) or observations per arm of a future RCT (δs), Nadjusted = N required per cell adjusted for the retention rate observed in the pilot study. Feasibility is judged against 10 repetitions of the trial over a 5-year period with a maximum of N = 20 per treatment arm across each repetition (i.e., total N = 80 per trial). Yes = trial is feasible. *Yes = trial is not feasible using accuracy in parameter estimation criteria; however, the effect is detectable with 80% power. No = trial is infeasible