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Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process

Received: 7 November 2015     Accepted: 27 November 2015     Published: 22 December 2015
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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.

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6)
DOI 10.11648/j.ajtas.20150406.34
Page(s) 619-629
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Quality Control, Batching Testing, Cut off Value, Proportion, Genetically Modified Organisms

References
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[20] Bhattacharyya, G. K., Karandinos, M. G., and DeFoliart, G. R. (1979). Point Estimates and Confidence Intervals for Infection Rates Using Pooled Organisms in Epidemiologic Studies. American Journal of Epidemiology, 109, 124-131.
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  • APA Style

    Ronald W. Wanyonyi, Kennedy L. Nyongesa, Adu Wasike. (2015). Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process. American Journal of Theoretical and Applied Statistics, 4(6), 619-629. https://doi.org/10.11648/j.ajtas.20150406.34

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    ACS Style

    Ronald W. Wanyonyi; Kennedy L. Nyongesa; Adu Wasike. Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process. Am. J. Theor. Appl. Stat. 2015, 4(6), 619-629. doi: 10.11648/j.ajtas.20150406.34

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    AMA Style

    Ronald W. Wanyonyi, Kennedy L. Nyongesa, Adu Wasike. Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process. Am J Theor Appl Stat. 2015;4(6):619-629. doi: 10.11648/j.ajtas.20150406.34

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  • @article{10.11648/j.ajtas.20150406.34,
      author = {Ronald W. Wanyonyi and Kennedy L. Nyongesa and Adu Wasike},
      title = {Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {4},
      number = {6},
      pages = {619-629},
      doi = {10.11648/j.ajtas.20150406.34},
      url = {https://doi.org/10.11648/j.ajtas.20150406.34},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150406.34},
      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.},
     year = {2015}
    }
    

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    AU  - Ronald W. Wanyonyi
    AU  - Kennedy L. Nyongesa
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    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
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    AB  - 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.
    VL  - 4
    IS  - 6
    ER  - 

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Author Information
  • Department of Mathematics, Egerton University, Nakuru, Kenya

  • Department of Mathematics, Masinde Muliro University of Science and Technology, Kakamega, Kenya

  • Department of Mathematics, Masinde Muliro University of Science and Technology, Kakamega, Kenya

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