American Journal of Theoretical and Applied Statistics

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

Received: 07 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.

DOI 10.11648/j.ajtas.20150406.34
Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6, November 2015)
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), 2024. Published by Science Publishing Group

Keywords

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

References
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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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  • 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://download.sciencepg.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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    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.
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