This dataset contains the data used to create Figures 2 to 5 in the paper, "Quantitative analysis of anti-resonance in single-ring, hollow-core fibres". The data represents the confinement loss of jacketed and unjacketed single-ring, hollow-core fibres and of a reference model consisting of concentric glass and air layers. The different Figures, and the related datasets, show the dependence of the confinement loss on the structural parameters of the fibres. Data for jacketed and unjacketed fibres is calculated using the commercial finite-element solver, COMSOL Multiphysics. Data for the reference model is calculated with an in-house code.