This dataset gathers the data presented in the scientific article "How to get reliable oxygen transmission rate values for coated cardboards?". File 1 : This file contains all data results of OTR measurements for uncoated cardboard, single-side coated carboard, two-side coated cardboard, LDPE and PE/PA materials performed at 23°C and 50% relative humidity. File 2 : This file contains a Matlab code writing the differential equation, depending on the system configuration (lower cell opened or closed). File 3 : This file contains a Matlab code resolving the differential equation using ode15s function. File 4 : This file contains a Matlab code retrieving the measurement data and calculating the estimated O2 permeability and transmission rate, calling odefun and model codes and using lsqnonlin function.