Moderate-resolution spectra of the H\(\beta\)--[O III] \(\lambda\)5007 region have been obtained for 41 radio-loud quasars in order to investigate relationships among their broad- and narrow-line profiles, radio structures, and X-ray properties. Spectra from the literature have been included to form a data set of 60 radio-loud quasars. A variety of statistical analyses have been performed, identifying several strong, related trends. The FWHM, equivalent width, and degree of redward asymmetry of H\(\beta\) increase with decreasing radio core dominance (an orientation indicator), whereas the FWHM of [O III] \(\lambda\)5007 increases with luminosity and \(\alpha_{ox}\). These and other effects are briefly discussed.