Detection of effects of the parameters of the synthetic process on the microstructure of materials is an important, yet elusive goal of materials science. We develop a method for detecting effects based on copula theory, high dimensional distribution distances, and permutational statistics to analyze a designed experiment synthesizing plutonium oxide from Pu(III) Oxalate. We detect effects of strike order and oxalic acid feed on the microstructure of the resulting plutonium oxide, which match the literature well. We also detect excess bivariate effects between the pairs of acid concentration, strike order and precipitation temperature.

翻译：合成过程参数对材料微观结构影响的检测是材料科学中一个重要但难以实现的目标。我们开发了一种基于copula理论、高维分布距离和置换统计的效应检测方法，用于分析从草酸钚(III)合成氧化钚的设计实验。我们检测了加料顺序和草酸进料对所得氧化钚微观结构的影响，这与文献结果吻合良好。我们还检测到了酸浓度、加料顺序和沉淀温度两两之间的额外双变量效应。