2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157952Several approaches to testing the hypothesis that two histograms are drawn from the same distribution are investigated. We note that single-sample continuous distribution tests may be adapted to this two-sample grouped data situation. The difficulty of not having a fully-specified null hypothesis is an important consideration in the general case, and care is required in estimating probabilities with ``toy'' Monte Carlo simulations. The performance of several common tests is compared; no single test performs best in all situations.35 pages, 15 figures, 5 tables. Plain TeX. Uses graphicx external package. For better quality figures, go to: http://www.hep.caltech.edu/~fcp/statistics/hypothesisTest/PoissonConsistency/PoissonConsistency.pdfData Analysis, Statistics and ProbabilityHigh Energy Physics - ExperimentMethodologytext