This work investigates the statistical methods used in the calibration of piezoelectric transducers, which are critical for measuring transient pressure in ammunition testing. These transducers play a vital role in determining internal pressure during the combustion of ammunition propellant, a key factor in assessing ammunition safety and performance. The study focuses on evaluating the significance of the intercept in the linear regression model used for calibration and compares the uncertainty of the fit with the linearity error, a parameter employed by NATO to classify the usability of transducers. Additionally, the study delves into the theoretical background of piezoelectric transducers, the calibration process, and the associated statistical methods. It underscores that NATO mandates the use of a linear regression model with a zero intercept for calibration. However, the study suggests that examining the significance of the intercept could reveal systematic errors or issues with the transducer. The research also explores whether the uncertainty of the fit could serve as an alternative to the linearity error in evaluating transducer usability. In summary, the article investigates the calibration process of piezoelectric transducers, with a focus on the significance of the intercept in linear regression and the potential of using fit uncertainty as a metric for transducer usability. The findings could lead to enhanced calibration standards and better assessments of transducer performance in ammunition tests.
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