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Table 7 Updated sample size calculations for the adult outcomes using the between-cluster coefficient of variation from the baseline survey (with missing responses multiply imputed)

From: The Well London program - a cluster randomized trial of community engagement for improving health behaviors and mental wellbeing: baseline survey results

Outcome

Baseline prevalence or mean (across all intervention and control clusters)

Km

Minimum detectable effect size

Expected effect size in original study design

Adults

    

Healthy eating

37% of adults eating at least five portions of fruit and vegetables per day

0.14

22% increase in prevalence

50% increase in prevalence

Physical activity

60% of adults doing at least five sessions of 30 min of moderate intensity physical activity per week

0.14

19% increase in prevalence

70% increase in prevalenceb

Mental health and wellbeing

18% of adults reporting feeling anxious or depressed

0.30

35% decrease in prevalence

-

 

16% of adults reporting consulting their GP for emotional problems (anxiety and depression) in previous 12 months

0.23

41% decrease in prevalence

-

 

Mean Hope Scale score = 4.6 (range, 1 to 6, higher score indicates better mental wellbeing)

0.03

Increase of 0.2 standard deviations

-

  1. aEffect sizes for binary outcomes are relative increases in prevalence.
  2. aCalculations are based on multiply imputed datasets; comparison to complete cases showed no substantial differences except in Km for adolescent fruit consumption which decreased from 0.05 to 0.004.
  3. bBased on an expected baseline prevalence of 18%.