This paper proposes an implementation of an alternative statistical signal analysis method in characterizing material properties of polymer using impulse excitation technique (IET) in accordance with ASTM E1876 standard. Five types of cylindrical shape polymer specimens were used, namely acrylics (AC), polyvinyl chloride (PVC), polyethylene (PE), cast nylon (MC), and polyoxymethylene (POM). The experimental procedure was conducted based on the non-destructive testing (NDT) concept by tapping the polymers’ specimens using an impact hammer within a specific range of impact force. The vibration signal obtained from the experiment was analysed using an alternative statistical analysis of the Integrated Kurtosis-Based Algorithm for Z-notch Filter (I-kaz™) method. The relationship between the vibration signal observed during the impact test and the properties of certain polymer materials used in the experiment was determined based on a mathematical representation. As a result, correlation processes between the material properties of (thermal expansion coefficient) and the I-kaz™ Vibro coefficient of vibration signal recorded by the accelerometer sensors have been obtained. This new technique also proves that the correlation processes can be used as a standard method to determine the material properties through I-kaz™ Vibro, which is efficient, non-destructive and low-cost.