Close-coupling calculations of broadening and shifting coefficients of Raman S-0(j) lines of H-2 perturbed by He are performed up to 3000 K. They are used to test two approximate methods, the quantum coupled states theory and the RB semiclassical model. They are further applied to study the use of simple functional forms for fitting and extrapolating experimental data, and some new fits of experimental broadening coefficients are given.