Comparing Forecast Skill

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Detecting Improvements in Forecast Correlation Skill: Statistical Testing and Power Analysis (2017, methodology): “DelSole and Tippett (2014) show that commonly used statistical tests for comparing skill of climate forecasts make the questionable assumption that the competing forecasts are independent.”
Predictability of Week-3–4 Average Temperature and Precipitation over the Contiguous United States (2017, methodology): “Two standard measures of skill are mean square error (MSE) and correlation r. Significance tests for skill based on mean square error have been discussed by DelSole and Tippett (2014), while those based on correlation are standard.”