Likelihood-ratio test statistic for the finite-sample case in nonlinear ordinary differential equation models.

ABSTRACT: Likelihood ratios are frequently utilized as basis for statistical tests, for model selection criteria and for assessing parameter and prediction uncertainties, e.g. using the profile likelihood. However, translating these likelihood ratios into p-values or confidence intervals requires the exact form of the test statistic's distribution. The lack of knowledge about this distribution for nonlinear ordinary differential equation (ODE) models requires an approximation which assumes the so-called asymptotic setting, i.e. a sufficiently large amount of data. Since the amount of data from quantitative molecular biology is typically limited in applications, this finite-sample case regularly occurs for mechanistic models of dynamical systems, e.g. biochemical reaction networks or infectious disea

SUBMITTER: Tonsing C 

PROVIDER: S-EPMC10550180 | biostudies-literature | 2023 Sep

REPOSITORIES: biostudies-literature