Resolving the Lord's Paradox
arXiv:1804.07923
Abstract
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.
4 pages, The 32nd International Workshop on Statistical Modelling (IWSM), Johann Bernoulli Institute, Rijksuniversiteit Groningen, Netherlands, 3-7 July 2017