In this study, an extraction method of pure failure signal which has been strongly contaminated by noise is investigated for the failure diagnosis of an equipment by using the method of statistical tests in frequency domain. For checking the accuracy of the statistical tests result and obtaining the estimated pure failure signal, the “tests level coefficient β” and “tests level information Ipq” are defined as the standard index for judgment of the tests accuracy. It has been proved by practical examples that the extraction method discussed in this paper is convenient and effective for failure detection and it's origin distinction on a machine equipment diagnosis.