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Table 8 Updated sample size calculations for the adolescent 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

Adolescents

    

Healthy eating

56% eat fruit daily or almost daily

0.003

17% increase in prevalence

30% increase in prevalence

Unhealthy eating scoreb

Mean unhealthy eating score = 3.0

0.06

Decrease of 0.26 standard deviations

 

Physical activityc

Mean PAQ-A score = 2.7

0.04

Increase of 0.25 standard deviations

-

Mental health and wellbeing

Mean PANAS-positive score = 29.8 (ranges 11 = lowest positive affect, to 55 = highest positive affect)

0.03

Increase of 0.23 standard deviations

-

 

Mean PANAS-negative score = 18.0 (ranges 11 = lowest negative affect, to 55 = highest negative affect)

0.02

Decrease of 0.21 standard deviations

 
 

Mean SDQ = 12.4 (range 0–15 =  normal, 16-19 = borderline, 20- 40 abnormal)

0.03

Decrease of 0.22 standard deviations

30% increase achieving key thresholds for mental health

 

74% Have normal SDQ scores

0.12

31% increase in prevalence

 
 

29% have borderline or abnormal SDQ scores

0.04

14% decrease in prevalence

 
  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. bPossible range 1 to 5; higher score indicates more frequent consumption of unhealthy food items (chips, chocolate or sweets, and sugar sweetened beverages).
  4. cRange 1 to 5; 1, very inactive; 5, very active.