A model and method for analyzing the precision of binary measurement methods based on beta-binomial distributions, and related statistical tests
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866918318211858432 |
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| author | Takeshita, Jun-ichi Suzuki, Tomomichi |
| author_facet | Takeshita, Jun-ichi Suzuki, Tomomichi |
| contents | This study developed a new statistical model and method for analyzing the precision of binary measurement methods from collaborative studies. The model is based on beta-binomial distributions. In other words, it assumes that the sensitivity of each laboratory obeys a beta distribution, and the binary measured values under a given sensitivity follow a binomial distribution. We propose the key precision measures of repeatability and reproducibility for the model, and provide their unbiased estimates. Further, through consideration of a number of statistical test methods for homogeneity of proportions, we propose appropriate methods for determining laboratory effects in the new model. Finally, we apply the results to real-world examples in the fields of food safety and chemical risk assessment and management. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2008_13619 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A model and method for analyzing the precision of binary measurement methods based on beta-binomial distributions, and related statistical tests Takeshita, Jun-ichi Suzuki, Tomomichi Applications Methodology 62K99 (Primary), 62P30, 62P99 (Secondary) This study developed a new statistical model and method for analyzing the precision of binary measurement methods from collaborative studies. The model is based on beta-binomial distributions. In other words, it assumes that the sensitivity of each laboratory obeys a beta distribution, and the binary measured values under a given sensitivity follow a binomial distribution. We propose the key precision measures of repeatability and reproducibility for the model, and provide their unbiased estimates. Further, through consideration of a number of statistical test methods for homogeneity of proportions, we propose appropriate methods for determining laboratory effects in the new model. Finally, we apply the results to real-world examples in the fields of food safety and chemical risk assessment and management. |
| title | A model and method for analyzing the precision of binary measurement methods based on beta-binomial distributions, and related statistical tests |
| topic | Applications Methodology 62K99 (Primary), 62P30, 62P99 (Secondary) |
| url | https://arxiv.org/abs/2008.13619 |