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User Guide to ECMWF Forecast Products > Appendix B Some statistical concepts to facilitate the use and interpretation of ensemble forecasts > 
Introduction Reliability  
   

The reliability diagram

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Introduction
The reliability diagram
Rank histogram (Talagrand diagram)
Verification measures
The relative operating characteristics (ROC) diagram
Calibration of probabilities
Statistical post-processing – model output statistics
 
 

The most transparent way to illustrate the performance and characteristics of a probabilistic forecast system is the reliability diagram, where the x-axis is the predicted probability and the y-axis the frequency with which the forecasts verify. It serves both as a way to validate the system and to verify its forecasts (see Figure 81).

07ReliabDiagPrinc.png

Figure 81Schematic explanation of the reliability diagram. Out of thirty 20% probability forecasts, the predicted event should verify six times, i.e. in 20% of the time, not more, not less.





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