Mathematical Sciences: Development of Calibration Curve Methods and an Investigation of Their Properties

数学科学：校准曲线方法的发展及其性质的研究

• 批准号: 9000590
• 负责人: Clifford Spiegelman
• 金额: $ 4.68万
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-15 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9000590&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Development; Calibration; Curve

The research will improve measurement science by developing new statistical calibration methodology for precision instruments. Calibration with errors in the standards will be examined through the errors-in-variables regression problem. Multivariate calibration problems in analytical chemistry will be studied through statistical models. New data analytic alternatives to hypothesis testing will be provided by combining parametric and nonparametric aspects in one model. This semiparametric approach will be used to estimate the percentage of contamination in a sample and provide asymptotic distributions.

该研究将通过发展测量科学来提高测量科学 新的精密度统计校准方法 仪器.标准品中存在误差的校准将 通过变量误差回归问题进行检验。 分析化学中的多元校正问题将是 通过统计模型研究。新数据分析 假设检验的替代方案将通过结合 一个模型中的参数和非参数方面。这 将使用半参数方法估计百分比 污染的样本，并提供渐近 分布。