Abstract
Here, we have used a simplified criteria to study the possibilities of observing higher order squeezing for the superposition of two coherent states out of phase by π, π/2 and 3π/2. Remarkably, it is observed that the considered states exhibit higher order squeezing which reflects their nonclassical nature. It has been observed that the existence of higher order squeezing is dependent on the particular values of relative phase. Moreover, the squeezing effect gets stronger when relative phase of superposition is equal to the average photon number.