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SUPPLEMENTAL DIGITAL CONTENT Sample size calculation

As recommended by Faul, Erdfelder, Lang, and Buchner,

1

sample sizes in

CHIPMANC and JETPAC were calculated a priori using G*Power 3.1.9.4. In healthy children, a meta-analysis found a small effect of exercise with coordinative/

cognitive demands on executive function (effect size pooled for working memory

and inhibitory control: d = 0.39).

2

Based on a similar meta-analysis in children

with ADHD, a moderate effect on this cognitive domain was reported (effect size

pooled for working memory and inhibitory control: d = 0.59).

3

As executive

function deficits are similar between children with ADHD and those born very

preterm

4

, a moderate effect of exercise on executive function was expected

among both groups due to a comparable adaptation reserve. Based on this effect

size and an estimation of a drop-out rate of 20 %, the power analysis indicated

that 56 participants were required to reach 85 % power to detect a treatment

effect within each study.

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Table S1. CONSORT checklist.

Section/Topic Item

No Checklist item Page

No Title and abstract

1a Identification as a randomised trial in the title 1 1b Structured summary of trial design, methods, results, and

conclusions (for specific guidance see CONSORT for

abstracts) 2

Introduction Background

and objectives

2a Scientific background and explanation of rationale 3-5

2b Specific objectives or hypotheses 5

Methods

Trial design

3a Description of trial design (such as parallel, factorial)

including allocation ratio 7

3b Important changes to methods after trial commencement

(such as eligibility criteria), with reasons NA

Participants 4a Eligibility criteria for participants 6-7

4b Settings and locations where the data were collected 7 Interventions 5 The interventions for each group with sufficient details to

allow replication, including how and when they were actually

administered 7-8

Outcomes

6a

Completely defined pre-specified primary and secondary outcome measures, including how and when they were

assessed 7-9

6b Any changes to trial outcomes after the trial commenced,

with reasons NA

Sample size

7a How sample size was determined Supple

ment 7b When applicable, explanation of any interim analyses and

stopping guidelines NA

Randomisation:

Sequence generation

8a Method used to generate the random allocation sequence 7 8b Type of randomisation; details of any restriction (such as

blocking and block size) 7

Allocation concealment

mechanism 9

Mechanism used to implement the random allocation sequence (such as sequentially numbered containers), describing any steps taken to conceal the sequence until

interventions were assigned

7

Implemen-

tation 10 Who generated the random allocation sequence, who enrolled participants, and who assigned participants to

interventions 7

Blinding 11a

If done, who was blinded after assignment to interventions (for example, participants, care providers, those assessing

outcomes) and how 7

11b If relevant, description of the similarity of interventions 7-8 Statistical

methods

12a Statistical methods used to compare groups for primary and

secondary outcomes 10

12b Methods for additional analyses, such as subgroup analyses

and adjusted analyses 10

Results

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Participant flow

13a For each group, the numbers of participants who were randomly assigned, received intended treatment, and were

analysed for the primary outcome

Figure 1, 10 13b For each group, losses and exclusions after randomisation,

together with reasons Figure 1

Recruitment 14a Dates defining the periods of recruitment and follow-up 7

14b Why the trial ended or was stopped 7

Baseline data 15 A table showing baseline demographic and clinical

characteristics for each group Table 1 Numbers

analysed 16 For each group, number of participants (denominator) included in each analysis and whether the analysis was by

original assigned groups Table 2

Outcomes and estimation

17a For each primary and secondary outcome, results for each group, and the estimated effect size and its precision (such

as 95% confidence interval)

Table S3, 10-

11 17b For binary outcomes, presentation of both absolute and

relative effect sizes is recommended NA Ancillary

analyses 18 Results of any other analyses performed, including subgroup analyses and adjusted analyses, distinguishing pre-specified

from exploratory NA

Harms 19 All important harms or unintended effects in each group (for

specific guidance see CONSORT for harms) NA Discussion

Limitations 20 Trial limitations, addressing sources of potential bias,

imprecision, and, if relevant, multiplicity of analyses 15-16 Generalisabilit

y 21 Generalisability (external validity, applicability) of the trial

findings 12,15

Interpretation 22 Interpretation consistent with results, balancing benefits and

harms, and considering other relevant evidence 12-15 Other information

Registration 23 Registration number and name of trial registry 7 Protocol 24 Where the full trial protocol can be accessed, if available NA Funding 25 Sources of funding and other support (such as supply of

drugs), role of funders 16

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Table S2. Correlation between potential confounders, behavioral performance and event-related potential components.

Go RT Omissio

n ER Commis

sion ER N2 P3b P3a PWC17

0 MABC-

2

Age -0.37* -0.13 -0.04 -0.12 -0.05 0.04 0.15 0.12

Sex (0 = m /

1 = f) 0.06 -0.22* -0.32* -0.03 -0.06 0.08 -0.13 0.00

BMI -0.19* 0.07 0.09 -0.02 0.11 0.05 -0.48* -0.27*

IDS-2 0.11 0.04 -0.02 0.21* 0.08 0.08 0.11 0.12

FAS score -0.13 -0.06 0.03 -0.01 -0.05 0.13 0.14 0.17

SDQ sum

score 0.05 0.07 0.15 -0.16 0.04 -0.15 -0.13 -0.32*

Notes: * = p < 0.05; BMI = Body Mass Index; ER = Error rate; IDS-2 = Intelligence and Developmental Scales – 2, value points derived from IQ screening items (naming categories and complete matrices); FAS = Family Affluence Scale; RT = Reaction time; SDQ = Strengths and Difficulties Questionnaire

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Table S3. Overview of interactions of time, group and study for cognitive performance, event-related potential components and physical fitness.

Outcome Interaction F df, error df η2

Performance

Go reaction timea Time x group 2.91 1, 104 0.027

Time x group x study 0.05 1, 104 < 0.001

Omission ERb Time x group 0.11 1, 104 < 0.001

Time x group x study 0.16 1, 104 < 0.001

Commission ERb Time x group 0.11 1, 104 < 0.001

Time x group x study 6.93* 1, 104 0.062

ERPs

N2 amplitudec Time x group 2.47 1, 108 0.022

Time x group x study 0.01 1, 108 < 0.001

P3a amplitude Time x group 1.14 1, 109 0.010

Time x group x study 4.76* 1, 109 0.042

P3b amplitude Time x group 0.36 1, 109 0.003

Time x group x study 1.95 1, 109 0.018

Physical fitness

PWC170d Time x group 1.52 1, 103 0.015

Time x group x study 0.02 1, 103 < 0.001

MABC-2e Time x group 0.99 1, 105 0.009

Time x group x study 0.18 1, 105 0.002 Notes: * = p < 0.05; a = corrected for age and body mass index; b = corrected for sex and pre- posttest changes in go reaction time; c = corrected for Intelligence and Developmental Scales – 2, value points derived from IQ screening items (naming categories and complete matrices); d = corrected for body mass index; e = corrected for Strengths and Difficulties sum score; ER = Error rate; ERPs = Event-related potentials; MABC-2 = Movement Assessment Battery for Children – 2nd edition; PWC170 = Relative physical working capacity at 170 bpm.

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References

1. Faul F, Erdfelder E, Lang A-G, Buchner A. G*Power 3: a flexible statistical power analysis program for the social, behavioral, and biomedical sciences. Behavior Research Methods.

2007;39(2):175-191. doi:10.3758/BF03193146.

2. Álvarez-Bueno C, Pesce C, Cavero-Redondo I, Sánchez-López M, Martínez-Hortelano JA, Martínez-Vizcaíno V. The Effect of Physical Activity Interventions on Children's Cognition and Metacognition: A Systematic Review and Meta-Analysis. J Am Acad Child Adolesc Psychiatry.

2017;56(9):729-738. doi:10.1016/j.jaac.2017.06.012.

3. Cerrillo-Urbina AJ, García-Hermoso A, Sánchez-López M, Pardo-Guijarro MJ, Santos Gómez JL, Martínez-Vizcaíno V. The effects of physical exercise in children with attention deficit

hyperactivity disorder: a systematic review and meta-analysis of randomized control trials. Child Care Health Dev. 2015;41(6):779-788. doi:10.1111/cch.12255.

4. Rommel A-S, James S-N, McLoughlin G, et al. Association of Preterm Birth With Attention- Deficit/Hyperactivity Disorder-Like and Wider-Ranging Neurophysiological Impairments of Attention and Inhibition. J Am Acad Child Adolesc Psychiatry. 2017;56(1):40-50.

doi:10.1016/j.jaac.2016.10.006.

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