The American Statistician · 1992 · 133 citations · 5 references
Social SciencesEconomicsEconometricsPsychometricsStatisticsBinary Response ModelsDiscrete Choice ModelsHypothesis TestingInferential StatisticsStatistical InferenceBinary Response Panel ModelsDichotomous Ability EstimationPolytomous Response Models
Abstract Linear logistic or probit regression can be closely approximated by an unweighted least squares analysis of the regression linear in the conditional probabilities provided that these probabilities for success and failure are not too extreme. It is shown how this restriction on the probabilities translates into a restriction on the range of the coefficient of determination R 2 so that, as a consequence, R 2 is not suitable to judge the effectiveness of linear regressions with binary responses even if an important relation is present. Key Words: DiscriminationLogistic modelMultiple correlation
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Duane Steffey, D. R. Cox, E. J. Snell · Journal of the American Statistical Association · 1990 · 504 citations