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) dtThe system was first partitioned, giving two small loops and one large loop. LOOP 1 consisted of Eqs. III-9,III-10,111-13,III-14 and 111-20 in which Eqs. 111-9 and 111-10 are nonlinear. LOOP 2 was made up of Eqs. 111-18,111-24,111-26,111-30 and 111-31 all of which are linear. Once these blocks were isolated they were collapsed into single nodes leaving one large cycle, LOOP 3, consisting of all of the remaining equations.The constant kz was varied to make the system stiff. Solutions were obtained for k2 = 3 (non-stiff) and for kz = 50 and k2 = lo00 which made LOOP 3 stiff. Eigenvalues were not calculated because stiffness was obtained (and proven) in this manner for Example I. Reduction of Thermodynamic Data by Means of the Multiresponse Maximum Likelihood PrincipleThe statistical behavior of some common parameter estimation methods is investigated by simulation. The methods based on the maximum likelihood principle give the best estimates of parameters in a given model. An analysis of the possibilities for detecting systematic errors by means of the maximum likelihood method showed that this method gives at best the same information as other well known tests.

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