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Activity Number: 518 - Software for Statistical Computing
Type: Contributed
Date/Time: Wednesday, August 2, 2017 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract #323199
Title: Likelihood-Ratio and $C(\Alpha)$ Tests for ODE Models
Author(s): Yuping Yang* and Richard Lockhart and Jiguo Cao
Companies: Simon Frase University and Simon Fraser University and Simon Frase University
Keywords: Score test ; Likelihood-ratio ; sundials.cvodes

We apply Likelihood-Ratio and $C(\alpha)$ tests to ODE models, and illustrate the null distributions and the powers of them. We found $C(\alpha)$ test is more resistant to errors of numerical solutions of OEDs.

We derive the explicit formulas of the two statistics in the ODE systems setting. We use c library Sundials.Cvodes to get the sensitivies of the ODEs and Levmar of a c implementation of the Levenberg--Marquardt algorithm for the optimization for the parameters. Finally we apply the two tests to predator-prey models.

Authors who are presenting talks have a * after their name.

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