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

Ronald W. Wanyonyi; Kennedy L. Nyongesa; Adu Wasike

doi:doi:10.11648/j.ajtas.20150406.34

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

Ronald W. Wanyonyi, Kennedy L. Nyongesa, Adu Wasike

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6)

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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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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TY  - JOUR
T1  - Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process
AU  - Ronald W. Wanyonyi
AU  - Kennedy L. Nyongesa
AU  - Adu Wasike
Y1  - 2015/12/22
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150406.34
DO  - 10.11648/j.ajtas.20150406.34
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 619
EP  - 629
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150406.34
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

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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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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - Estimation of Proportion of a Trait by Batch Testing Model in a Quality Control Process
AU  - Ronald W. Wanyonyi
AU  - Kennedy L. Nyongesa
AU  - Adu Wasike
Y1  - 2015/12/22
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150406.34
DO  - 10.11648/j.ajtas.20150406.34
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 619
EP  - 629
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150406.34
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  -

Copy | Download