Abstract: A widely used growth curve model is considered without the assumption of equal error variances. Based on the generalized pivotal quantities of the unknown parameters, hypotheses of the equality of the fixed effects were discussed. The simultaneous confidence intervals for all pair-wise differences and confidence regions of the fixed effects were given. Simulation results show that the type Ⅰ error rates of the proposed test and the coverage probabilities of the proposed confidence intervals and regions are close to the nominal level.