We point out that the assumption of Lorentz noninvariance examined rec
ently by Coleman and Glashow leads to neutrino flavor oscillations whi
ch are phenomenologically equivalent to those obtained by assuming the
neutrinos violate the principle of equivalence. We then comment on th
e limits on Lorentz noninvariance which can be derived from solar, atm
ospheric, and accelerator neutrino experiments.