Interactions and computer experiments
系统分析了交互作用的类型和来源，提出分段定义是一种独立的交互机制，并开发了Mikado图工具，帮助可视化两因子交互作用，对计算机实验和黑箱模型解释领域的研究者有用。
Abstract Identifying interactions and understanding the underlying generating mechanism is essential for interpreting the response of black‐box models. We offer a systematic analysis of interaction types and corresponding sources, merging results of the broad statistical literature with findings developed within the computer experiment literature. Piecewise‐definiteness emerges a self‐standing interaction mechanism, alternative to the presence of interaction terms. We find that the scale of the analysis is essential for interpretation, and that no single method is capable of providing the correct identification of the underlying interaction generating mechanisms; conversely a combined approach involving indicators at difference scales is required. We propose a graphical tool called Mikado plot that exploits the link between interaction indicators at the finite scale and global scales to ease the regional visualization of two‐factor interactions. The findings are illustrated via numerical experiments with three well‐known computer models of different dimensionality and structure.