Statistical evaluation of two-parameter sorption isotherm models

Abstract

Numerous mathematical models for approximating the water sorption data of food materials are available in the scientific literature. Depending on the number of parameters included, such models are referred to as one-parameter, two-parameter, threeparameter, or multi-parameter models. The objective of this study was to evaluate a total of sixty two-parameter sorption isotherm models for approximating the equilibrium moisture content data of quince and to compare the goodness of fit between the models examined. On the basis of the statistical analyses performed, it can be concluded that the Popovski&Mitrevski model has the best statistical performance of all the models examined. The coefficient of determination was the main criterion for assessing the model performance, totalling R 2 = 0.9913 for the best model performance.

Statistical evaluation of four-parameter moisture sorption isotherm models

“…The equilibrium moisture content values of the quince slices X eq (Table 1), obtained at different water activity values a w and four different temperatures (Mitrevski et al, 2018, Mitrevski et al, 2019, were fitted with thirty-two four-parameter sorption isotherm models M01-M32 (Table 2). The statistical evaluation of sorption isotherm models depends on the nature of the model itself.…”

“…Consequently, these models correlate the experimental values of quince sorption better than other models. Moreover, the highest coefficient of determination value was obtained when two-parameter sorption isotherm models were used for approximating quince sorption data (Mitrevski et al, 2019).…”

“…In this study, the equilibrium moisture contents of the quince samples were determined at temperatures of 15, 30, 45 and 60 o C using the static gravimetric method (Mitrevski et al, 2018, Mitrevski et al, 2019. A total of ten saturated salt solutions (namely L i Cl, CH 3 COOK, MgCl, K 2 CO 3 , Mg(NO 3 ) 2 , NaBr, SrCl 2 , NaCl, KCl and BaCl 2 ) were utilized to obtain the constant equilibrium relative humidity in the glass jars ranging from 0.110 to 0.920.…”

“…The glass sorption jars were placed and kept in the temperature controlled SANYO MCO-15AC cabinet (SANYO Electric Co., Ltd. Refrigeration Products Division 1-1-1, Sakata Oizumi-Machi, Ora-Gun, Gunma 370-0596 Japan) and maintained at temperatures 15, 30, 45 and 60 o C (with an accuracy of ± 0.1 o C). Three replications were made at each temperature and equilibrium relative humidity in the glass jars, using two samples per replication, and the average values of the equilibrium moisture content were calculated (Mitrevski et al, 2018, Mitrevski et al, 2019. Changes in the sample masses were recorded every 7 days using the electrical balance KERN PLJ360-3M (Kern&Sohn GmbH, Ziegelei 1, 72336 Balingen, Germany) with a precision of 0.001 g.…”