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The purpose of this article is to look at how information criteria, such asAIC and BIC, relate to the g%SD fit criterion derived in Waddell et al. (2007,2010a). The g%SD criterion measures the fit of data to model based on anormalized weighted root mean square percentage deviation between the observeddata and model estimates of the data, with g%SD = 0 being a perfectly fittingmodel. However, this criterion may not be adjusting for the number ofparameters in the model comprehensively. Thus, its relationship to moretraditional measures for maximizing useful information in a model, includingAIC and BIC, are examined. This results in an extended set of fit criteriaincluding g%AIC and g%BIC. Further, a broader range of asymptotically mostpowerful fit criteria of the power divergence family, which includes maximumlikelihood (or minimum G^2) and minimum X^2 modeling as special cases, are usedto replace the sum of squares fit criterion within the g%SD criterion. Resultsare illustrated with a set of genetic distances looking particularly at a rangeof Jewish populations, plus a genomic data set that looks at how Neanderthalsand Denisovans are related to each other and modern humans. Evidence that Homoerectus may have left a significant fraction of its genome within the Denisovanis shown to persist with the new modeling criteria.

New g%AIC, g%AICc, g%BIC, and Power Divergence Fit Statistics Expose Mating between Modern Humans, Neanderthals and other Archaics