 The goal of quantum tomography is to provide quantitatively rigorous characterization of quantum systems, particularly for the purposes of troubleshooting and benchmarking experiments in quantum information science. However, the quantitative value of Monte Carlo simulations is flawed without an equally rigorous way of authenticating the quality of a reconstruction to ensure it provides a reasonable representation of the data, given the known noise sources. The chi-squared goodness-of-fit test statistic as a measure of reconstruction quality deviates noticeably from expectations for states lying near the boundaries of physical state space, severely undermining its usefulness as a quantitative tool in the region which is of most interest in quantum information-processing tasks. A simple, heuristic approach can compensate for these effects and provide substantially improved performance. This article was authored by Nathan K. Langford.