alexa Response Surface Methodology Approach to the Optimizati
ISSN: 2155-6180

Journal of Biometrics & Biostatistics
Open Access

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Research Article

Response Surface Methodology Approach to the Optimization of Potato (Solanum tuberosum) Tuber Yield Using Second-Order Rotatable Design

Koech JK1*, Mutiso MK2 and Koskei JK2

1Department of Mathematics and Computer Science, University of Eldoret, Kenya

2Department of Statistics and Computer Science, Moi University, Eldoret, Kenya

*Corresponding Author:
Koech JK
Department of Mathematics and Computer Science
University of Eldoret, Kenya
Tel:
+254 724 073 390
E-mail: [email protected]

Received Date: February 19, 2017; Accepted Date: May 20, 2017; Published Date: May 31, 2017

Citation: Koech JK, Mutiso MK, Koskei JK (2017) Response Surface Methodology Approach to the Optimization of Potato (Solanum tuberosum) Tuber Yield Using Second-Order Rotatable Design. J Biom Biostat 8: 351. doi: 10.4172/2155- 6180.1000351

Copyright: © 2017 Koech JK, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

One of the major concerns among developing countries in recent decades is the effect of declining food security with ever-growing population. Hence, the importance of adopting cost effective farming methods has led to the development of various statistical methods to alleviate food insecurity. Among these methods, CCD has gained significant attention to its application in agriculture. In this paper, the response surface methodology (RSM) was applied in order to determine the effects of the factors potassium (K), nitrogen (N) and phosphorus (P) on the yield of potato tuber. The predicted values for the yield of potato tuber by the response functions were in a very close agreement with experimental data (R2=90%). The second-order model was developed by solving the parameters of the regression equation using the method of least squares. The optimal combinations of the factors potassium (K), nitrogen (N) and phosphorus (P) with yield as the response of interest were determined by analyzing the 3D response surface plots and using the method of steepest ascent. Using ridge analysis method which corresponds to the method of steepest ascent, the optimal yield of potato tuber was estimated to be 29.26 t ha-1 which is much higher than the current national target of 14 t ha-1 with optimum factor levels being K=35.36 kg K2o ha-1, N=78.71 Kg N ha-1 and P=160.69 Kg P=160.69 kg P2o5ha-1, respectively. Nitrogen and phosphorous had a significant positive linear effects on the potato tuber yield. Based on the results, it can be concluded that the response surface methodology is a suitable approach for determining the optimal conditions of the selected fertilizer types.

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