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Linear regression assumes that the underlying distribution of the residuals is normal. Binary logistic regression has an assumption of the binomial distribution.
D. R. Cox, Nanny Wermuth, Tests of Linearity, Multivariate Normality and the Adequacy of Linear Scores, Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 43, No. 2 (1994), ...
Ellis Batten Page, ORDERED HYPOTHESES FOR MULTIPLE TREATMENTS: A SIGNIFICANT TEST FOR LINEAR RANKS, The Yearbook of the National Council on Measurement in Education, No. 20 (1963), pp. 17-23 ...
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