热喷涂多响应广义线性模型的优化设计
Optimal designs for multi-response generalized linear models with applications in thermal spraying
摘要：
我们考虑的问题，设计实验研究粒子在飞行性能的热喷涂。观察是在一个广泛的设计，为第一天，此后在有限的数量为任何特定的一天。包括附加日效应的广义线性模型用于分析该过程，其中模型随不同响应而变化。我们构造稳健的D-最优设计来收集任何当前日期的额外数据，这对于估计所有模型中的参数都是有效的。这些设计大大改进了参考部分析因设计。我们还研究了设计，最大限度地提高了额外的一天效果的测试的权力。结果用于设计热喷涂工艺的附加实验，并进行基于参考设计以及基于所选D-最优设计的统计分析的比较。
英文摘要：
We consider the problem of designing experiments for investigating particle in-flight properties in thermal spraying. Observations are available on an extensive design for an initial day and thereafter in limited number for any particular day. Generalized linear models including additional day effects are used for analyzing the process, where the models vary with respect to different responses. We construct robust D-optimal designs to collect additional data on any current day, which are efficient for the estimation of the parameters in all models under consideration. These designs improve a reference fractional factorial design substantially. We also investigate designs, which maximize the power of the test for an additional day effect. The results are used to design additional experiments of the thermal spraying process and a comparison of the statistical analysis based on a reference design as well as on a selected D-optimal design is performed.
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