Quantum statistical properties of superposition states of parabose coherent states were studied.Odd-order power amplitude m-th power squeezing effect can appear in this superposition states of the coherent states.The relation between amplitude m-th power squeezing or higher-order antibuncing effect and superposition coefficient is obtained.The relevant results of even and odd coherent states and superposition states of coherent states and even and odd parabose coherent states are all contained in the more general conclusions of this paper as special cases.