I am conducting a research on the development and external validation of a prediction model. I have developed a regression-based prediction model using derivation set data and externally validated it using independent validation data. The discriminative performance and calibration of the model were good. I presented the model as a regression equation with model coefficients as well as a nomogram.
My question is whether the regression coefficients in the presented model should be derived from the derivation data only, or re-fitting the model and updating the coefficients using entire data (i.e. derivation + validation data) is allowed or is even a better way to present the final model?