Construction of ϕ<sub>p</sub>-optimal exact designs with minimum experimental run size for a linear log contrast model in mixture experiments

Baisuo Jin

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Construction of ϕ_p-optimal exact designs with minimum experimental run size for a linear log contrast model in mixture experiments

机译：混合实验中线性对数对比模型的最小实验运行大小的ϕ _{p 最优精确设计的构建}

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We propose a new method with minimum experimental run size using the properties of Hadamard matrices through which some ϕ_p-optimal exact designs including A-, D- and E-optimal designs are constructed for a linear log contrast model in mixture experiments.

机译：我们利用Hadamard矩阵的性质，提出了一种具有最小实验运行规模的新方法，通过该方法，可以构造一些ϕ _{p 最优精确设计，包括A，D和E最优设计以实现线性对数对比混合实验中的模型。}

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《Biometrika》 |2011年第3期|p.741-747|共7页
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Baisuo Jin;
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1. Construction of φ-optimal exact designs with minimum experimental run size for a linear log contrast model in mixture experiments [J] . Jin B., Huang M.-N.L. Biometrika . 2011,第3期

机译：混合实验中线性对数对比模型的最小实验运行尺寸的φ最佳精确设计的构造
2. Exact D-optimal designs for a linear log contrast model with mixture experiment for three and four ingredients [J] . Huang M.-K., Lo Huang M.-N., Jin B. Journal of Statistical Planning and Inference . 2013,第7期

机译：线性对数对比模型的精确D最优设计，包含三种和四种成分的混合实验
3. f_p{phi_p}-optimal designs for a linear log contrast model for experiments with mixtures [J] . Mong-Na Lo Huang, Miao-Kuan Huang Metrika . 2009,第2期

机译：线性对数对比模型的f _{p {phi_p}-最优设计，用于混合实验}
4. Model-Based Optimal Experiment Design for Nonlinear Parameter Estimation Using Exact Confidence Regions [C] . Anwesh Reddy Gottu Mukkula, Radoslav Paulen IFAC World Congress . 2018

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5. Solutions to reduce problems associated with experimental designs for nonlinear models: Conditional analyses and penalized optimal designs. [D] . Parker, Susan Massey. 2005

机译：减少与非线性模型实验设计相关的问题的解决方案：条件分析和优化设计。
6. Modeling the Effect of Composition on Formation of Aerosolized Nanoemulsion System Encapsulating Docetaxel and Curcumin Using D-Optimal Mixture Experimental Design [O] . Azren Aida Asmawi, Norazlinaliza Salim, Emilia Abdulmalek, 2020

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7. \u3cem\u3ePowerUp!\u3c/em\u3e: A Tool for Calculating Minimum Detectable Effect Sizes and Minimum Required Sample Sizes for Experimental and Quasi-Experimental Design Studies [O] . Maynard, Rebecca A, Dong, Nianbo 2013

机译：\ u3cem \ u3ePowerUp！\ u3c / em \ u3e：一种用于计算实验和拟实验设计研究的最小可检测效应量和所需最小样本量的工具
8. Asymptotically Optimal Nonparametric Experimental Design Tests for the LOG Linear Model under Censoring [R] . Terpstra, T. J. 1988

机译：截尾下LOG线性模型的渐近最优非参数实验设计试验

Construction of ϕp-optimal exact designs with minimum experimental run size for a linear log contrast model in mixture experiments

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Construction of ϕ_p-optimal exact designs with minimum experimental run size for a linear log contrast model in mixture experiments