Leshno and Levy (2002) introduce the concept of the first and second order of almost stochastic dominance (ASD) for most decision makers. There are many studies investigating the properties of this concept. Many empirical applications are also conducted based on it. However, there is no formal statistical inference procedure up to now. In this paper, we aim to develop consistent test statistics for the first three order of ASD. Two numerical approaches are proposed to determine the critical values.