International Journal For Multidisciplinary Research

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A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

Call for Paper Volume 6 Issue 3 May-June 2024 Submit your research before last 3 days of June to publish your research paper in the issue of May-June.

Modelling and Optimizing Sorghum Yield for Food Security using Central Composite Design through Application of Organic and Inorganic Fertilizers

Author(s) Patrick M M'mwamba, Elizabeth Njoroge, Daniel Mwangi Muriithi
Country Kenya
Abstract The Response surface methodology has offered great solutions to day-to-day life issues, through its outstanding characteristics in optimization of response variables. The demand for sorghum for industrial use necessitated the study. The objective of this study was to model and optimize sorghum yield by varying the amount of organic and inorganic fertilizers applied on experimental plots measuring 2 metres by 1.25 metres. A 5-level-3-factor Central Composite Design (CCD) a Response Surface Methodology (RSM) was applied with the independent variables being nitrogen fertilizer (X_1) supplied in form of Calcium Ammonium Nitrate (CAN) 26%, goat manure (X_2) and VEGIMAX folia fertilizer (X_3). The p-values for nitrogen fertilizer, goat manure and VEGIMAX folia were less than 0.05, an implication that the effect of the three variables on sorghum yield was significant with the nitrogen fertilizer being highly significant (p-value< 0.0001). The quadratic effects were also significant (p-values < 0.05) but the effect of factor interactions were all insignificant (p-value>0.05). The response surface plots revealed that high sorghum yield was favoured by applying moderately high levels of the three independent variables. The R-squared and Adjusted R-squared for the fitted model were 0.9277 and 0.8627 respectively, indicating that the fitted model was valid and explained 86.3% of the variations in the sorghum yield at a confidence level of 0.95. The optimal settings for the (X_1), (X_2) and (X_3) were 112 Kg / ha, 12 tons / ha and 5.5 ml / 20 litres of water, resulting to an optimal yield of 4.95 tons per hectare.
Keywords Organic and Inorganic fertilizer, Central Composite Design, Sorghum, Optimization, Response Surface Methodology
Field Mathematics > Statistics
Published In Volume 6, Issue 3, May-June 2024
Published On 2024-05-19
Cite This Modelling and Optimizing Sorghum Yield for Food Security using Central Composite Design through Application of Organic and Inorganic Fertilizers - Patrick M M'mwamba, Elizabeth Njoroge, Daniel Mwangi Muriithi - IJFMR Volume 6, Issue 3, May-June 2024. DOI 10.36948/ijfmr.2024.v06i03.20287
DOI https://doi.org/10.36948/ijfmr.2024.v06i03.20287
Short DOI https://doi.org/gtvt2t

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