The authors report self-broadening and self-shifting measurements on the J=0 to 1 transitions of 15N2O and the J=0 to 1 and J=1 to 2 transitions of CF3H as a function of temperature. The experimental results are compared with calculations based on the Anderson-Tsao-Curnutte-Frost theory and the modified Murphy-Boggs theory, (1968), as formulated by Cattani, (1972). The modified Murphy-Boggs theory offers in all cases the best agreement with experiment as far as the width is concerned. With regard to the shift, however, both theories seem to be equally valid. The authors wish to emphasis particularly that the K dependence, as predicted by the modified Murphy-Boggs theory, of the linewidth and lineshift of the J=1 to 2 transition of the oblate symmetric top CF3H is confirmed by experiment for the first time. The recent Mehrotra-Boggs theory, (1977), appears to be identical to the modified Murphy-Boggs theory for molecules in a pure rotational state.