A quick and easy multiple-use calibration-curve procedure
A quick and easy multiple-use calibration-curve procedure
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快速、简单的多用途校准曲线程序
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
C. Spiegelman
中科院分区：
文献类型：
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作者：
R. Carroll;J. Sacks;C. Spiegelman
Scheffe（1973）的标准多次使用校准程序指出，在概率为1 - δ的情况下，从长远来看，包含真实未知量的计算置信区间的比例至少为1 - α。概率1 - δ是指校准实验产生“良好”结果的概率。在Scheffe的公式中，一个好的结果包括真实的潜在回归曲线的覆盖率和尺度参数σ的置信上限。Scheffe的程序对于实践者来说是相当困难的，因为它依赖于不容易使用的表格。一个更简单的“优度”概念，只需要覆盖潜在的回归，导致很容易计算的未知数的置信区间。此外，这些间隔通常比Scheffe的短。最后给出了一个应用实例。
The standard multiple-use calibration procedure of Scheffe (1973) states that with probability 1 – δ, the proportion of calculated confidence intervals containing the true unknowns is at least 1 – α in the long run. The probability 1 – δ refers to the probability that the calibration experiment results in a “good” outcome. In Scheffe's formulation, a good outcome involves both coverage of the true underlying regression curve and an upper confidence limit for σ, the scale parameter. Scheffe's procedure is fairly difftcult for practitioners to apply, because it relies on tables that are not easy to use. A simpler notion of “goodness” that requires only the coverage of the underlying regression leads to easily calculated confidence intervals for the unknowns. In addition, these intervals are generally shorter than Scheffe's. An application example is given to illustrate the technique.