What can Lattice QCD theorists learn from NMR spectroscopists?

The Lattice QCD (LQCD) community has occasionally gone through periods of self-examination of its data analysis methods and compared them with methods used in other disciplines [Tou90, Mic94, MM95]. This process has shown that the techniques widely used elsewhere may also be useful in analyzing LQCD data. It seems that we are in such a period now with many groups trying what are generally called Bayesian methods such as Maximal Entropy (MEM) or constrained fitting [NAH99, L02, ABC02, Fie02, D03, and many others]. In these proceedings we will attempt to apply this process to a comparison of data modeling techniques used in LQCD and NMR Spectroscopy to see if there are methods which may also be useful when applied to LQCD data. A common problem in Lattice QCD is the estimation of hadronic energies Ek(p) of k = 1 · · ·K states from samples of the hadronic correlation function of a specified set of quantum numbers computed in a Monte Carlo simulation. A typical model function is