International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2016, Vol. 1, Issue 4, Part A

The optimum settings of culture conditions for optimum growth of kefir grains for nutrition and health using RSM with BBD


Author(s): Edwine B Atitwa, Joseph K Koske and John M Mutiso

Abstract: This thesis provides the process used to optimize the growth of kefir grains for nutrition and health to yield the optimal size of the kefir grain. This combined process was successfully modeled and optimized by response surface methodology method with a Box–Behnken design. In this work, Box-Behnken Design of response surface methodology was used to optimize growth of kefir grains using fat content in milk, incubation time and the number of rotations using milk as culture liquid. The contour plots were generated to study the optimum yield and levels of culture conditions. The second-order model, was used to locate the optimum growth of kefir grains. Testing the prediction of the second order and its adequacy was verified using the I-optimality and G -optimality which was used to predict the growth of kefir gains at nearly all values of culture conditions. The statistical analysis was done using a two-way analysis of variance for fitting the data. The confidence level to check the growth of kefir grain were at 95%.Design expert was used to formulate the BBD design which yielded a class of three incomplete factorial designs which are useful for estimating the co-efficient in a second degree graduating polynomial. The optimal settings of the culture conditions were evaluated using stationery points to determine the possibilities of the response for the growth to optimal at stationery points levels. The data was analyzed using R statistical software and excel. Data was presented using tables and graphs.

Pages: 24-33 | Views: 797 | Downloads: 24

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How to cite this article:
Edwine B Atitwa, Joseph K Koske, John M Mutiso. The optimum settings of culture conditions for optimum growth of kefir grains for nutrition and health using RSM with BBD. Int J Stat Appl Math 2016;1(4):24-33.
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