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Table 8 Sample size calculations based on detecting a 10 minute difference in weekday MVPA using a cluster size of 24 and 12 per school

From: Randomised feasibility trial of a teaching assistant led extracurricular physical activity intervention for 9 to 11 year olds: Action 3:30

Outcomea

Cluster size

ICCb

α

Power (β)

n required per armc

n schools/arm

N per arm inflated for attritiond

Total Ne

Cluster size = 24

MVPA/weekday (min)

24

0.12977

5%

80%

360

15

450

900

MVPA/weekday (min)

24

0.12977

5%

90%

456

19

570

1140

MVPA/weekday (min)

24

0.12977

1%

90%

624

26

780

1560

  

ICCf

      

MVPA/weekday (min)

24

0.06534

5%

80%

240

10

300

600

MVPA/weekday (min)

24

0.06534

5%

90%

312

13

390

780

MVPA/weekday (min)

24

0.06534

1%

90%

408

17

510

1020

Cluster size = 12

 

Cluster size

ICC b

α

Power (β)

n required per arm c

n schools/arm

N per arm inflated for attrition d

Total N g

MVPA/weekday (min)

12

0.12977

5%

80%

204

17

255

510

MVPA/weekday (min)

12

0.12977

5%

90%

276

23

345

690

MVPA/weekday (min)

12

0.12977

1%

90%

384

32

480

960

  

ICCf

      

MVPA/weekday (min)

12

0.06534

5%

80%

156

13

195

390

MVPA/weekday (min)

12

0.06534

5%

90%

204

17

255

510

MVPA/weekday (min)

12

0.06534

1%

90%

276

23

345

690

  1. aTarget difference = 10 minutes of MVPA per weekday.
  2. bobserved ICC (95% CI) was 0.06534 (0.00091 to 0.12977); upper limit of 95% CI used.
  3. ccluster size of 24.
  4. destimated attrition = 20% (~6 per cluster).
  5. ebased on 30 pupils per school (i.e. 24 + 6).
  6. fPoint estimate of ICC used.
  7. gbased on 15 pupils per school (i.e. 12 + 3).