Mathematical Modeling of the Mismatch in a Vernier Caliper Using Reverse Engineering and Machine Learning

In this article, the mechanism of various commercial Vernier calipers is analyzed in different cases of taking measurements and we focus on the mismatch that occurs due to unit conversion. Through reverse engineering, several expressions are defined that relate the components of the calibrator, the same ones that are used for the creation of a simulation of the model. The data entry process is automated to the simulation to generate a database of variables and results. The database is processed in a supervised machine learning algorithm to obtain relationships between the variables and the mismatch. The p value of each variable that makes up the model is calculated to determine the most influential variables. Outliers produced by the simulation are detected and eliminated through robust statistical techniques. Finally, the determination coefficient is calculated, and the Breusch-Pagan test is performed to verify that the proposed model has a good fit.