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arxiv: 1804.07923 · v1 · pith:63OMBR7Mnew · submitted 2018-04-21 · 📊 stat.OT

Resolving the Lord's Paradox

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keywords paradoxgivenlordregressionaveragesawarecausalconditions
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An explanation to Lord's paradox using ordinary least square regression models is given. It is not a paradox at all, if the regression parameters are interpreted as predictive or as causal with stricter conditions and be aware of laws of averages. We use derivation of a super-model from a given sub-model, when its residuals can be modelled with other potential predictors as a solution.

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