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Tracey Bywater, Vashti Berry, Sarah Blower, Matthew Bursnall, Edward Cox, Amanda Mason-Jones, Sinéad McGilloway, Kirsty McKendrick, Siobhan Mitchell, Kate Pickett, Gerry Richardson, Kiera Solaiman, M Dawn Teare, Simon Walker & Karen Whittaker.

Tracey Bywater ^1,*, Vashti Berry ², Sarah Blower ¹, Matthew Bursnall ³, Edward Cox ⁴, Amanda Mason-Jones ¹, Sinéad McGilloway ⁵, Kirsty McKendrick ³, Siobhan Mitchell ², Kate Pickett ¹, Gerry Richardson ⁴, Kiera Solaiman ³, M Dawn Teare ^3,6, Simon Walker ⁴, Karen Whittaker ⁷

¹ Department of Health Sciences, University of York, York, UK
² College of Medicine and Health, University of Exeter, Exeter, UK
³ Sheffield Clinical Trials Research Unit, Sheffield, UK
⁴ Centre for Health Economics, University of York, York, UK
⁵ Centre for Mental Health and Community Research, Maynooth University, Maynooth, Ireland
⁶ Institute of Health and Society, Newcastle University, Newcastle upon Tyne, UK
⁷ School of Nursing, University of Central Lancashire, Preston, UK
^* Corresponding author Email: tracey.bywater@york.ac.uk

Declared competing interests of authors: Tracey Bywater is a trustee for Children’s Early Intervention Trust (CEIT) (Bangor, Wales). Early Intervention Wales Training (EIWT) (Bangor, Wales) is owned by CEIT and offers training courses, including Incredible Years®. Trustees do not benefit financially from trainings or CEIT/EIWT activities. Enhancing Social and Emotional health in the Early years study trainings were arranged via the Incredible Years developer in the USA. In addition, Tracey Bywater is supported by the National Institute for Health and Care Research (NIHR) Yorkshire and Humber Applied Research Collaboration [(ARC-YH) reference NIHR200166]. Vashti Berry is supported by the South West Peninsula Applied Research Collaboration [(PenARC) reference NIHR200167]. Sarah Blower is supported by the NIHR ARC-YH (reference NIHR200166). Matthew Bursnall has received funding from the NIHR Public Health Research programme (reference 15/49/32). Kate Pickett is supported by the NIHR ARC-YH (reference NIHR200166). Gerry Richardson is supported by the NIHR ARC-YH (reference NIHR200166). M Dawn Teare has received funding from the NIHR Public Health Research programme (reference 15/49/32). Karen Whittaker reports grants from the Community Practitioners’ and Health Visitors’ Association Education and Development Trust (London, UK) to support the fathers and co-parents substudy during the conduct of the study.