An equation derived by Cole, which relates the frequency-dependent complex dielectric permittivity to the molecular dipolar autocorrelation function, is compared to dielectric measurements reported in the literature. The dielectric behavior of binary polar mixtures agrees with that predicted by Cole's equation provided specific short-range interactions are absent. Measurements of the complex dielectric permittivity of anisole-benzene mixtures as a function of composition, wavelength, and temperature are reported. The anomalous dielectric behavior exhibited by this system is not due to internal field effects. Possible causes of the anomalies are discussed.