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对牙科CAD-CAM复合材料曲强度的统计方法的评估

Yousef Karevan¹, Christelle Sanchez², Adelin Albert³

¹Dental Biomaterials Research Unit (d-BRU), Institute of Dentistry, University of Liège (ULiège), Liège, Belgium.

Journal of the mechanical behavior of biomedical materials

|August 26, 2025

概括

选择正确的统计方法对于分析牙复合材料的屈曲强度至关重要. 对于可靠的结果,特别是在较大的样本中,建议使用2参数韦布尔分布和最小方程估计.

科学领域:

材料科学
生物材料工程
统计分析

背景情况:

对于牙科材料,可靠的曲强度测试是必不可少的.
目前对样本大小和方法的统计建议通常基于理论假设.
分析计算机辅助设计/计算机辅助制造 (CAD-CAM) 复合材料的统计方法的有效性需要经验验证.

研究的目的:

用现实数据确定最佳的统计方法来分析CAD-CAM复合材料的屈曲强度.
为了比较七种常见的统计方法的性能.
评估样本大小对统计分析可靠性的影响.

主要方法:

使用四种商业CAD-CAM复合材料 (Cerasmart 270,Katana Avencia,Grandio,Vita Enamic) 的屈曲强度数据集.
在每种材料的967个场景中进行雇员休假-K-out交叉验证 (K=3至9).
对比正常,逻辑正常,2参数韦布尔分布 (MLE和LSQ) 和3参数韦布尔分布.

主要成果:

所有的统计方法在小样本大小 (n=30) 中都显示出有限的可靠性.
区间间异质性和材料特性影响了统计方法的有效性.
在低失效概率的情况下,对强度的高估较少.
使用平均估计器 (i/(n+1) 的最小平方估计比其他方法更好,特别是采用较小的样本大小.

结论:

在牙科材料研究中常见的小样本大小损害了统计可靠性.
2参数韦布尔分布,特别是LSQ估计,为CAD-CAM复合材料提供更可靠的屈曲强度分析.
维布尔分析需要至少60个样本,建议采用100多个样本以获得最佳可靠性.

关键词:

复合材料离开-K-Out交叉验证聚合物透的陶网假牙/假牙几乎易碎的材料韦布尔分析

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