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Table 2 Example power calculations for study objectives

From: Growing up in Bradford: protocol for the age 7–11 follow up of the Born in Bradford birth cohort

For objective 1: child social and emotional wellbeing at age 7–11

Group

Exposure

Outcome (binary)

Numbera

Minimal effect detectable (RR)c P = 0.05

White British

Receipt of means tested benefits

Being bullied (all or some of the time)

3000

1.11

Pakistani

3500

1.10

White British

Not managing financially

Child low wellbeing

3000

1.38

Pakistani

3500

1.36

For objective 2: healthy childhood growth, adiposity and cardiometabolic health in children and adults

Group

Exposure

Outcome (continuous)

Numbera

Minimal effect detectableb

P = 0.01

P = 0.0001

White British

Any maternal metabolite from NMR

Offspring tricep skinfolds at age 10

3000

0.06

0.09

Pakistani

3500

0.07

0.10

White European

Gestational diabetes

Offspring systolic blood pressure at age 10

3400

0.11

0.16

South Asian

3850

0.08

0.10

White British

Cord-blood Epigenome wide DNA methylationd

Offspring BMI at age 10

400

0.15

0.24

Pakistani

450

0.14

0.23

White European

Hypertensive disorder of pregnancy

Maternal predicted 10-year cardiovascular risk

3400

0.03

0.05

South Asian

3850

0.03

0.06

For objective 3: Determinants of child cognitive and motor development at age 7–11

Study / group

Exposure

Outcome (binary)

Numbera

Minimal effect detectable (RR)c P = 0.05

White British

Not managing financially

Educational problems

3000

1.23

Pakistani

3500

1.22

White British

No safe place to play (at baseline)

Motor development delay

3000

1.52

Pakistani

3500

1.37

Study / group

Exposure

Outcome (continuous)

Numbera

Minimal effect detectableb

P = 0.01

P = 0.0001

White British

Overall Behavioural Difficulties

Motor Skills Test Battery Score

3000

0.10

0.14

Pakistani

3500

0.11

0.16

White British

Specific Difficulties with Externalising Behaviours

Assessment of Sustained Attention (visuo-motor tracking)

3000

0.11

0.15

Pakistani

3500

0.11

0.15

White British

Specific Difficulties with Internalising Behaviours

Assessment of Executive Planning (timed maze tracing)

3000

0.09

0.12

Pakistani

3500

0.17

0.23

  1. a Numbers are all conservative; b minimal difference in outcome (SD units) per 1SD or 1 category of exposure that can be detected with this sample size; c Minimum Risk Ratio detectable for this sample size at p = 0.05. Power set to 85% in all of these estimates