Regression to the mean and regression dilution are equivalent measurement-error biases, with the Berry correction optimal only for 1:1 clinical cases while Major Axis methods suit broader conditions including negative slopes.
McArdle, Lines, models, and errors: regression in the field
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The Same Problem by Different Names: Unifying Regression Dilution and Regression to the Mean
Regression to the mean and regression dilution are equivalent measurement-error biases, with the Berry correction optimal only for 1:1 clinical cases while Major Axis methods suit broader conditions including negative slopes.