I think the first thing to do is to perform graphical analysis. Use a Lab vs Production scatterplot to explore the distribution and spot outliers. Then you can use correlation coefficients or/and MAE. But you need to formulate the objective of your research first in order to understand which methods to use.
About several parameters that may possibly influence extrusion of ceramic pastes, you may check answers to another question at this forum ̶ «What are the most important parameters controlling the extrusion of pastes?»: https://www.researchgate.net/post/What_are_the_most_important_parameters_controlling_the_extrusion_of_pastes