Test of Randomness of Residuals for the Buchanan-three-phase model used in the Fitting the Growth of Moraxella sp. B on Monobromoacetic acid (MBA)

Abstract

Monobromoacetic acid (MBA) is a chemical intermediate often use in agriculture andpharmaceutical industries. The use of monohalogenated acetic acids including monobromoaceticacids in industry and agriculture has led to numerous environmental issues. Bioremediation ofmonobromoacetic acid, has been recommended as a cheaper and achievable method whencompared with physical and chemical approaches. Formerly, we model the growth of growth ofMoraxella sp. B on monobromoacetic acid from published literature to obtain vital growthconstants. We discovered that the Buchanan-three-phase model via nonlinear regression utilizing the least square method was the very best model to explain the growth curve. However, an essential consideration, which has not been pointed out enough, is the residuals of the model have to be random. To ensure that randomness being met we carry out the Wald-Wolfowitz runstest. The results showed that the number of runs was 13, and the expected number of runs under the assumption of randomness was 7.462, indicating the series of residuals had adequate runs. The p-value obtained was greater than 0.05, therefore the null hypothesis is not rejected indicating no convincing evidence of non-randomness of the residuals and they do represent noise.