This research is about the influence on the diagnostic accuracy via the statistical damage diagnosis method called the SI-F method. SI-F method diagnoses existence of the damage by detecting the change of correlation between sensors. Therefore, fluctuation of the sensor value with some correlation is required caused by the external force. However, since the external force is weak, the correlation between sensors become low and when the noise could be cause the decrease of diagnostic accuracy at that condition. But, if the structure is vibrated by the natural frequency even the weak load, correlation intensity may increase. Then in this paper, different sizes of load and vibration frequency including the natural frequency is loaded to the piping structure and of the influence amplitude of the load (the SN rate) to the diagnostic accuracy is experimentally investigated