Presented in this paper are two numerical/statistical methods for determining if the impact time- history response of a mechanical system is repeatable or reproducible; such a system could be a vehicle, a biological human surrogate, Anthropometric Test Device (ATD or dummy), etc. The responses could be sets of time-histories of accelerations, forces, moments, etc., of a component or of the system. The example system evaluated is the BioRID II rear impact dummy. The evaluation begins by transforming the sets of time-histories into sets of relative-shapes and magnitudes of the response time histories. The two statistical procedures use the t and T²-tests. One uses a statistical comparison of the average time history of a set (Representative Curve (RC)) to the individual time histories of that set or other sets. The other procedure uses a statistical comparison of sets of time histories. The statistical analysis is then performed on the sets of the relative-shapes and magnitudes. Both methods indicate the BioRID II is neither repeatable nor reproducible for the neck moment.