A statistical criterion for the value of evidence: Application to the evaluation of the results of paint spectral analysis

The paper describes a method for the quantitative comparison of slightly differing infrared spectra. The method is based on a comparison of the differences in absorbance of some selected band pairs which represent identification features of infrared spectra. An optimal combination of band pairs was chosen using two methods: a graphical method based on the validity of Beer's law (method I) and a purely statistical method (method II). The spectra characterized by the selected features were compared and the significance of differences between them was tested using the mathematical Hotelling's T² test. It was found that the method developed enables the quantitative and objective evaluation of the statistical significance of differences between compared spectra.