We consider an electromagnetic compatibility problem, where an electromagnetic plane wave, incident on an aperture in the wall of a cavity, is coupled to a set of enclosed metallic plates and a monopole is connected to the base of the cavity and loaded with an impedance. For an aperture of moderate dimensions, one can define an equivalent problem where the incident wave is the one radiated by electric and magnetic dipoles placed inside the cavity with the aperture short-circuited. To predict the voltage induced on the load, an integral representation of the electric field combined with the Green's function of the cavity is used to model the electric field. This reduces the set of unknowns to the values of the currents on the monopole and on the plates. A method of moments is then used to solve the related integral equation. The analysis of the variations of the average and maximum values of the voltage over a given frequency band, as a function of the parameters of the structure, is conducted in an unusual manner. We use statistical tools such as experiment design, regression, and kriging to determine the prevailing parameters and their degree of correlation and to provide a fast prediction of the average and maximum values of the voltage.