This thesis investigates similarities and differences in the chemistry of the Linear B clay tablets and sealings found at the Palace of Nestor in Pylos, located in the western Peloponnese, Greece. Their chemistry provides clues regarding the flow of material goods in and out of the palace and therefore to the degree of centralization of the political-economy. Over a thousand 3,000 year-old clay tablets and sealings currently housed at the National Archaeological Museum in Athens were analyzed using a pXRF over the course of the summers of 2015 and 2016. The chemical compositions were analyzed statistically. Results of the study and the conclusions are presented here.