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To supplement previous ignition delay investigations on methane-oxygen-argon mixtures, product distributions were determined for methane-oxygen-argon and methane-hydrogen-oxygen-argon mixtures that had been heated in a single-pulse shock tube. On the basis of these combined data and literature values, extensive kinetic calculations, involving numerical integration of 23 reactions, have been made. The calculations have reproduced ignition delay times or product distributions of 14 sets of experimental data for hydrogen-oxygen-argon, methane-oxygen-argon, and methane-hydrogen-oxygen-argon mixtures, and seem to be able to correlate all available data within the limits of experimental error.