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

Tönsing C, Steiert B, Timmer J, Kreutz C.

PLoS Comput Biol. 2023; doi: 10.1371/journal.pcbi.1011417.

Likelihood ratios are the foundation for most statistical tests, model selection criteria and uncertainty calculations. In this study, the empirical distribution of the likelihood ratios for parameters from 19 published signalling models are investigated. We show that corrections in such finite-sample applications are required in order to avoid anti-conservative results and evaluate different correction procedures.