Unlike the past models guiding cross-cultural psychological research, a new paradigm facilitates multiple level investigations by incorporating both culture-specific (nested) and culture-general (crossed) independent variables within its partially-hierarchical framework. Based upon the generalizability analysis, this model generates sequential tests of alternative hypothesis so that the veridical level of generality or specificity of human behavior can be succintly assessed. Having empirically determined the veridical level of generality, the researcher can then employ a regression equation which is congruent to the level of generality found. Through the use of Bayesian techniques and inference, the new paradigm can produce posterior distributions for the variance components and generalizability statistics in order to evaluate their reasonableness. Similarly, the Bayesian approach incorporates information concerning the level of generalizability in tests between any or all of the cultural means on the dependent variable. (Author/CTM)