Techniques for the analysis of pressure-dependent kinetic rate data based on the master equation/inverse Laplace transform (ME/ILT) method are presented. It is shown that the efficiency of the solution of the ME is substantially enhanced if the ME is replaced by a diffusion equation (DE) and if a reduced matrix, based on a restricted energy range, is used. The speed of the ILT calculation is enhanced by using the fast Fourier transform technique. Case studies for the reactions, i-C3H7 --> C3H6 + H (I) and CH3 + CH3 --> C2H6 (2), are presented. An improved Delta H-f,298(0) of 87.7 kJ mol(-1) is obtained from the enthalpy change for reaction 1 calculated from published experimental data (cf. 90.0 obtained by Seakins et al. J Phys. Chem. 1992, 96, 9841). A similar analysis of reaction 2 produces a chi(2) surface that is very flat and has no well defined minimum because of strong correlation between fitted parameters. Thus, it is difficult to extract a unique parameter set for k(2)(infinity). It is found that the modified Arrhenius form 5.4 x 10(-8)(T)(-1.10) exp((- 160 K)/T) cm(3) molecule(-1) s(-1) gives a satisfactory fit to the available experimental data.