Daniel KAHNEMAN, Olivier SIBONY, and Cass R. SUNSTEIN "Noise": Excellent Book, but Missing r² and R²
“ r² = (explained variation)² + MSE ” Dear Daniel KAHNEMAN, Olivier SIBONY, and Cass R. SUNSTEIN! Congratulations to your excellent book “Noise” published recently (Little, Brown Spark 2021): May I propose an advancement referring to Part III pages 107 continued: You increase the consistency with your excellent formula “ MSE = bias² + noise² ” (page 62; figure 7; …) if you consider the “squared correlation” r² as “shared variation of two variables” not related to MSE. “Percentage concordant” is less efficient compared to r² in most applications of bivariate or multivariate analysis; however predictive analysis might allow to use “percentage concordant” in some cases; my question to you: How do you define “percent concordant” in regression and correlation analysis, especially when looking at BAYES’ theorem, and the concepts of Jean-Paul BENZÉCRI ? On the other hand, may I introduce the term “correlation fallacy”, or “MSE^(1/2 * 2) fallacy”. This “correlation fall...