Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process
American Journal of Theoretical and Applied Statistics
Volume 4, Issue 6, November 2015, Pages: 619-629
Received: Nov. 7, 2015; Accepted: Nov. 27, 2015; Published: Dec. 22, 2015
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Authors
Ronald W. Wanyonyi, Department of Mathematics, Egerton University, Nakuru, Kenya
Kennedy L. Nyongesa, Department of Mathematics, Masinde Muliro University of Science and Technology, Kakamega, Kenya
Adu Wasike, Department of Mathematics, Masinde Muliro University of Science and Technology, Kakamega, Kenya
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Abstract
Batch testing involves testing items in a group rather than testing the items individually for resource saving purposes. Estimation of proportion of a trait of interest using batch testing model insulates individuals of a population against stigma. In this paper, an estimator of the unknown proportion of a trait in batch testing model based on a quality control process is constructed and its properties discussed. In quality control, a batch is rejected if constituent defective members are greater than l, the cut off value. It is observed that if l = 0, then the obvious batch testing strategy is obtained. Hence when l > 0, the batch testing strategy is generalized. The proposed model is superior to the existing models when the proportion of a trait is relatively high. The application of the model on Genetically Modified Organisms contamination is carried out.
Keywords
Quality Control, Batching Testing, Cut off Value, Proportion, Genetically Modified Organisms
To cite this article
Ronald W. Wanyonyi, Kennedy L. Nyongesa, Adu Wasike, Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process, American Journal of Theoretical and Applied Statistics. Vol. 4, No. 6, 2015, pp. 619-629. doi: 10.11648/j.ajtas.20150406.34
Copyright
Copyright © 2015 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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