Diagnostic of residuals from the Buchanan three-phase model used in the fitting of the growth of Chlorella vulgaris cultivated in microfluidic devices

Authors

  • M.S. Shukor Snoc International Sdn Bhd, Lot 343, Jalan 7/16 Kawasan Perindustrian Nilai 7, Inland Port, 71800, Negeri Sembilan, Malaysia.
  • M.Y. Shukor Department of Biochemistry, Faculty of Biotechnology and Biomolecular Sciences, University Putra Malaysia, UPM 43400 Serdang, Selangor, Malaysia

DOI:

https://doi.org/10.54987/ajpb.v2i2.183

Keywords:

Buchanan- three phase model, ordinary least squares method, Grubbs test, normal distribution, homoscedastic, autocorrelation

Abstract

Nonlinear regression of a data and its subsequent statistical analysis relies on the facts that the
residuals (difference between observed and predicted data) followed a normal or Gaussian
distribution, no autocorrelation and are free of outliers. Previously, we demonstrated that the
Buchanan- three phase growth kinetics is the best model using the ordinary least squares
method for the growth of the algae Chlorella vulgaris 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. If all of these assumptions
are satisfied, the test is said to be robust. In this work we perform statistical diagnostics to the
residuals and discovered the presence of an outlier that allows the residuals to be normally
distributed and satisfy other diagnostic tests after its removal.

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Published

30.12.2014

How to Cite

Shukor, M., & Shukor, M. (2014). Diagnostic of residuals from the Buchanan three-phase model used in the fitting of the growth of Chlorella vulgaris cultivated in microfluidic devices. Asian Journal of Plant Biology, 2(2), 60–65. https://doi.org/10.54987/ajpb.v2i2.183

Issue

Vol. 2 No. 2 (2014)

Section

Articles

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