This paper showsthe Bayesian approach as an alternative to the classical analysis of nonlinearmodels for ruminal degradation data. The data set was obtained from a Latinsquare experimental design, established for testing the ruminal degradationof dry matter, crude protein and fiber in neutral detergent of three silages:elephant grass (Pennisetum purpureum Schum) with bacterial inoculantor enzyme-bacterial inoculant and corn silage (Zea mays L.). The incubationtimes were 0, 2, 6, 12, 24, 48, 72 and 96 hours. The parameter estimates ofthe equations fitted by both methods showed small differences, but by the Bayesianapproach it was possible to compare the estimates correctly, that does not happenwith the frequentist methodology because it is much more restricted in the applicationsdue to the demand for a larger number of presuppositions.