Exploring the XI Correlation Coefficient

Nina Zumel Recently, we’ve been reading about a new correlation coefficient, $$\xi$$ (“xi”), which was introduced by Professor Sourav Chatterjee in his paper, “A New Coefficient of Correlation”. The $$\xi$$ coefficient has the following properties: If $$y$$ is a function of $$x$$, then $$\xi$$ goes to 1 asymptotically as $$n$$ […]

Don’t use correlation to track prediction performance

Using correlation to track model performance is “a mistake that nobody would ever make” combined with a vague “what would be wrong if I did do that” feeling. I hope after reading this feel a least a small urge to double check your work and presentations to make sure you […]

Correlation and R-Squared

What is R2? In the context of predictive models (usually linear regression), where y is the true outcome, and f is the model’s prediction, the definition that I see most often is: In words, R2 is a measure of how much of the variance in y is explained by the […]