The effects of advanced factor analysis approaches on outcomes in randomised trials for depression: protocol for secondary analysis of individual participant data by Frank Doyle, David Byrne, Robert M. Carney, Pim Cuijpers, Alexandra L. Dima, Kenneth Freedland, Suzanne Guerin, David Hevey, Bishember Kathuria, Shane Kelly, Stephen McBride, Emma Wallace, Fiona Boland

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