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Two families of power transformations for probabilites are introduced to model symmetric and asymmetric departures from the logistic model. The aim is to provide, in a comprehensive way, a representation of alternative scales in terms of which to carry out the analysis of binary response data. Maximum likelihood methods are empolyed to estimate an appropriate transformation using GLIM. Tests for detection of symmetric and asymmetric departures are proposed.
Francisco J. Aranda-Ordaz (Thu,) studied this question.