Nested Hierarchy – In the hierarchy tree, if one child item only has one parent item at the higher level, it is a nested relationship.Crossed Hierarchy – In the hierarchy tree, if one child item has more than one parent item at the higher level, it is a crossed relationship.There are generally two types of hierarchies: crossed and nested. Each object in the hierarchy tree indicates a specific level of a factor (input). In Multi-Vari analysis, we use the hierarchy to present the relationship between categorical factors (inputs). If object A is above object B and they are directly connected to each other in the hierarchy tree, A is B’s parent and B is A’s child. Each object in the hierarchy is described as above, below, or at the same level as another one. Hierarchy is a structure of objects in which the relationship of objects can be expressed similar to an organization tree. They work for both crossed and nested hierarchies. Multi-Vari charts are used to visualize the source of variation. It studies how the variation in the output changes across different inputs and helps us quantitatively determine the major source of variability in the output. Multi Vari analysis is a graphic-driven method to analyze the effects of categorical inputs on a continuous output.

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