diff --git a/docs/Users_Guide/difficulty_index.rst b/docs/Users_Guide/difficulty_index.rst new file mode 100644 index 00000000..c10dfb1d --- /dev/null +++ b/docs/Users_Guide/difficulty_index.rst @@ -0,0 +1,171 @@ +**************** +Difficulty Index +**************** + +Description +=========== + +This module is used to calculate the difficulty of a decision based on a set of forecasts, +such as an ensemble, for quantities such as wind speed or significant wave height as a +function of space and time. + +Example +======= + +An example Use-Case for running Difficulty Index for Wind Speed can be found in the `METplus documentation `_. + +Decision Difficulty Index Computation +===================================== + +Consider the following formulation of a forecast decision difficulty index: + + .. math :: d_{i,j} = \frac{A(\bar{x}_{i,j})}{2}(\frac{(\sigma/\bar{x})_{i,j}}{(\sigma/\bar{x})_{ref}}+[1-\frac{1}{2}|P(x_{i,j}\geq thresh)-P(x_{i,j}