<p>To establish an evaluation method for multi-component proficiency testing results. The proposed approach will utilize multi-element proficiency testing as an example. The data presented herein were derived from the 2023 proficiency testing results for nine elements in soybean meal. The methodological approach is outlined as follows: first, the 78 laboratories were then classified into three tiers based on the results of the z-score analysis. In order to determine the ranking of elements within each group, the standard deviation of each element’s test results must first be calculated. This calculation should be performed for Class I, Class II and Class III. The element ranking within each group is then determined based on the ascending order of standard deviation. Subsequently, a polygon radar chart should be constructed of the absolute values of Z-scores for all nine elements within each group. The polygon’s area should then be calculated precisely using the ‘sf’ package in R. The area value should then be defined as a comprehensive indicator for evaluating laboratory capability. Finally, the polygons should be ranked by area within each group from smallest to largest in order to determine the final laboratory rankings. The present study establishes a comprehensive intra-group laboratory ranking method combining Z-score grouping and polygon area analysis, thereby supplementing and enhancing the evaluation approach outlined in ISO 13528:2022.</p>

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A comprehensive intra-laboratory ranking method for multi-component proficiency testing combining Z-score grouping and polygon area

  • Tao Song,
  • Jin Shi,
  • Qiuyan Lu,
  • Jian Lin,
  • Wusheng Fu,
  • Hongjing Chen

摘要

To establish an evaluation method for multi-component proficiency testing results. The proposed approach will utilize multi-element proficiency testing as an example. The data presented herein were derived from the 2023 proficiency testing results for nine elements in soybean meal. The methodological approach is outlined as follows: first, the 78 laboratories were then classified into three tiers based on the results of the z-score analysis. In order to determine the ranking of elements within each group, the standard deviation of each element’s test results must first be calculated. This calculation should be performed for Class I, Class II and Class III. The element ranking within each group is then determined based on the ascending order of standard deviation. Subsequently, a polygon radar chart should be constructed of the absolute values of Z-scores for all nine elements within each group. The polygon’s area should then be calculated precisely using the ‘sf’ package in R. The area value should then be defined as a comprehensive indicator for evaluating laboratory capability. Finally, the polygons should be ranked by area within each group from smallest to largest in order to determine the final laboratory rankings. The present study establishes a comprehensive intra-group laboratory ranking method combining Z-score grouping and polygon area analysis, thereby supplementing and enhancing the evaluation approach outlined in ISO 13528:2022.