Non-parametric permutation test for the discrimination of float glass samples based on LIBS spectra

Laser‐induced breakdown spectroscopy (LIBS) coupled with non‐parametric permutation based hypothesis testing is demonstrated to have good performance in discriminating float glass samples. This type of pairwise sample comparison is important in manufacturing process quality control, forensic science and other applications where determination of a match probability between two samples is required. Analysis of the pairwise comparisons between multiple LIBS spectra from a single glass sample shows that some assumptions required by parametric methods may not hold in practice, motivating the adoption of a non‐parametric permutation test. Without rigid distributional assumptions, the permutation test exhibits excellent discriminating power while holding the actual size of Type I error at the nominal level. Copyright © 2010 John Wiley & Sons, Ltd. Laser‐induced breakdown spectroscopy (LIBS) coupled with non‐parametric permutation based hypothesis testing is demonstrated to have good performance in discriminating float glass samples. Without rigid distributional assumptions, the permutation test exhibits excellent discriminating power while holding the actual size of Type I error at the nominal level.