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Ternary Error Regions

Creating a ternary chart involves transforming three variables to ratios of three dependent proportions that are plotted in a 2-D simplex. Accordingly, the error bar settings defined for individual variables can not be applied independently to a ternary plot.

For calculating ternary error regions, three possible values are considered for each variable:

The raw value
The raw value plus the positive error bar value
The raw value plus the negative error bar value

Accordingly, Citrin calculates 33 possible combinations for each ternary data point and uses the convex hull to delineate the resulting hexagonal error region.