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Generalized Regression Control Chart for Monitoring Crop Production
American Journal of Theoretical and Applied Statistics
Volume 9, Issue 4, July 2020, Pages: 90-100
Received: Jan. 31, 2020; Accepted: Apr. 7, 2020; Published: May 28, 2020
Authors
Olatunji Taofik Arowolo, Department of Mathematics & Statistics, Lagos State Polytechnic Ikorodu, Lagos, Nigeria
Matthew Iwada Ekum, Department of Mathematics & Statistics, Lagos State Polytechnic Ikorodu, Lagos, Nigeria
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Abstract
Recently, Nigeria focused on Agriculture as a way to diversify her economy. Crop production, which is a proxy to measure agricultural output is considered very important. So, controlling crop production (output) among states in Nigeria is very key. In this study, the generalized regression control chart was used rather than the conventional control chart. The conventional control chart does not put into consideration factor(s) that affect crop production. The generalized regression control chart considers the factor (independent variable) that affect crop production (dependent variable). The normal distribution is a special case of the generalized regression control chart. The possibility of using Weibull regression and other non-normal models were considered. In this research, Gaussian distribution was used as the underlying distribution because it fitted the crop production data. The cost of seed/seedling was selected from a set of independent variables, because it is most significant among other independent variables. The data were collected from secondary sources, precisely National Bureau of Statistics (NBS). All the 36 states in Nigeria, including the Federal Capital Territory (FCT) were involved in the study. The result of the generalized regression control chart showed that crop production is not in control in Nigeria, which was traced to assignable cause of variation in FCT, Abuja. This implied that FCT, Abuja produced below the lower control limit of crop production, despite the relative cost of seed/seedlings.
Keywords
Conventional Control Chart, Crop Production, Exponential Family, Gaussian Regression Model, Generalized Regression Control Chart
Olatunji Taofik Arowolo, Matthew Iwada Ekum, Generalized Regression Control Chart for Monitoring Crop Production, American Journal of Theoretical and Applied Statistics. Vol. 9, No. 4, 2020, pp. 90-100. doi: 10.11648/j.ajtas.20200904.12
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