Calculated and recently measured photoabsorption transition probabilities of the H₂ npσ¹Σ⁺ _u and npπ¹Π _u – X ¹Σ⁺ _g band systems have been examined with high-resolution (Δλ = 95-115 mÅ) electron-impact induced emission spectra obtained previously by Jonin et al. and Liu et al. When localized rovibronic coupling is insignificant, transition probabilities calculated with the adiabatic approximation are found to be generally consistent with experiment. However, in the presence of significant coupling, the transition probabilities obtained from a nonadiabatic calculation of B'¹Σ⁺ _u , D ¹Π⁺ _u , , D'¹Π⁺ _u , and 5pσ¹Σ⁺ _u state coupling give better agreement with the experimental spectra. Emission yields obtained by comparison of the calculated and experimental spectra are also consistent with the measured predissociation and autoionization yields. In addition, more accurate excitation and emission cross sections and nonradiative yields have been obtained for a number of the npσ¹Σ⁺ _u and npπ¹Π _u states. The results obtained in the present investigation lead to a significantly more accurate calibration of the Cassini UVIS instrument and laboratory spectrometers in the range 790-920 Å. They are also an important step toward an accurate model of extreme ultraviolet H₂ auroral and dayglow emissions in the outer planet atmospheres.