  We consistently analyze two-pion correlation functions and three-pion
correlation functions of 130$A$ GeV Au+Au collisions measured at RHIC, applying
three models of partially coherent pion sources. The effect of long-lived
resonances on the chaoticity in the two-pion correlation function is estimated
on the basis of a statistical model. We find that the chaoticity extracted from
the three-pion correlation function is consistent with that extracted from the
two-pion correlation function at vanishing relative momenta after the
subtraction of the contribution of the long-lived resonance decays.
  All three models indicate that pions are emitted from the mixture of a
chaotic source and coherent sources in the 130$A$ GeV Au+Au collisions.
