Overlapping Distributions and the Limits of Predicting One Person
Makes the variance split visual and consequential. Two distributions whose means differ by a fraction of an SD overlap almost entirely, so knowing a person's group membership barely narrows the guess about that person. This is the node that turns 'the averages differ' into 'and yet I still cannot tell you about this individual', which is the single most-needed move in F.
Questions this Concept answers
- Why does a difference in group means that is a small fraction of a standard deviation help so little in describing one person?
This Concept is waiting for its first lesson!
Makes the variance split visual and consequential. Two distributions whose means differ by a fraction of an SD overlap almost entirely, so knowing a person's group membership barely narrows the guess about that person. This is the node that turns 'the averages differ' into 'and yet I still cannot tell you about this individual', which is the single most-needed move in F.
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