An arrangement for determining the permeation rate of a sample for at least one permeate, particularly water vapor, in which a plurality of detectors, which are designed for spatially resolved spectral analysis of electromagnetic radiation within a wavelength interval, are arranged in a row or a row and column arrangement and the detectors are connected to an electronic evaluation unit and are arranged such that electromagnetic radiation emitted by a broadband radiation source impinges on the detectors either after a reflection on the surface of the sample, a layer formed on the sample or on the surface of a layer within the sample and/or after irradiating through a sample that is transparent to the electromagnetic radiation, characterized in that the irradiation takes place such that a laterally and temporally homogeneous intensity of the electromagnetic radiation is maintained on a surface from which the electromagnetic radiation is reflected or transmitted through the surface, and the electronic evaluation unit is designed such that the position-resolved and wavelength-resolved captured measurement signals of the detectors are captured within a wavelength interval for individual location points that are arranged on a predeterminable surface of the sample, and measurement signals captured at a plurality of positions are each assigned to a subregion of the detected surface as a hypercube and a data reduction is carried out for all wavelength-resolved captured measurement signals of the subregions of the detected surface, in which data reduction meaningful features are selected and a statement about a corresponding permeation rate is obtained on the basis of these selected features using previously determined regression models stored in an electronic memory, which regression models have been determined on the basis of sets of features obtained in an analogous manner from samples whose permeation rate has been determined using a different measuring method that has a higher measuring accuracy. the detectors are connected to an electronic evaluation unit and are arranged such that electromagnetic radiation emitted by a broadband radiation source impinges on the detectors either after a reflection on the surface of the sample, a layer formed on the sample or on the surface of a layer within the sample and/or after irradiating through a sample that is transparent to the electromagnetic radiation, characterized in that the irradiation takes place such that a laterally and temporally homogeneous intensity of the electromagnetic radiation is maintained on a surface from which the electromagnetic radiation is reflected or transmitted through the surface, and the electronic evaluation unit is designed such that the position-resolved and wavelength-resolved captured measurement signals of the detectors are captured within a wavelength interval for individual location points that are arranged on a predeterminable surface of the sample, and measurement signals captured at a plurality of positions are each assigned to a subregion of the detected surface as a hypercube and a data reduction is carried out for all wavelength-resolved captured measurement signals of the subregions of the detected surface, in which data reduction meaningful features are selected and a statement about a corresponding permeation rate is obtained on the basis of these selected features using previously determined regression models stored in an electronic memory, which regression models have been determined on the basis of sets of features obtained in an analogous manner from samples whose permeation rate has been determined using a different measuring method that has a higher measuring accuracy.