Statistical Diagnosis Test of the Growth Kinetics Model for the Algae Dunaliella tertiolecta
DOI:
https://doi.org/10.54987/ajpb.v2i2.185Keywords:
Baranyi-Roberts, ordinary least squares method, normal distribution, homoscedastic, autocorrelationAbstract
Mathematical modeling of physical, chemical or biological data could help the investigator to
explain a phenomenon observed based on physical, chemical or biological mechanisms. The
model could also be used to predict or forecast future behavior, simulate a hypothetical event or
input and design better experiments. Previously, we demonstrated that the Baranyi-Roberts
growth kinetics is the best model using the ordinary least squares method for the growth of the
algae Dunaliella tertiolecta compared to other models such as modified logistic, modified
Gompertz, modified Richards, modified Schnute, Baranyi-Roberts, Von Bertalanffy, Huang
and the Buchanan three-phase linear model. The ordinary least squares method relies heavily on
several important assumptions such as residuals conformation to normal distribution, does not
have outliers, is truly random, of equal variance (homoscedastic) and does not show
autocorrelation. If all of these assumptions are satisfied, the test is said to be robust. In this
work we perform statistical diagnosis test for the adequacy of the model to satisfy these
requirements.
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