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Thermodynamic models and, in particular, SAFT-type equations are vital incharacterizing complex systems. This paper presents a framework for samplingparameter distributions in PC-SAFT and SAFT-VR Mie equations of state tounderstand parameter confidence intervals and correlations. We identifyconserved quantities contributing to significant correlations. Comparing theequations of state, we find that additional parameters introduced in theSAFT-VR Mie equation increase relative uncertainties (1\%-2\% to 3\%-4\%) andintroduce more correlations. When incorporating association through additionalparameters, relative uncertainties increase, but correlations slightlydecrease. We investigate how uncertainties propagate to derived properties andobserve small uncertainties for that data with which the parameters wereregressed, especially for saturated-liquid volumes. However, extrapolating tosaturated-vapour volumes yields larger uncertainties due to the largerisothermal compressibility. Near the critical point, uncertainties in saturatedvolumes diverge due to increased sensitivity of the isothermal compressibilityto parameter uncertainties. This effect significantly impacts bulk properties,particularly isobaric heat capacity, where uncertainties near the criticalpoint become extremely large, even when these uncertainties are small. Weemphasize that even small uncertainties near the critical point lead todivergences in predicted properties.

Confidence Interval and Uncertainty Propagation Analysis of SAFT-type Equations of State