Discrimination between the complementary log-log and logistic model for ordinal data |
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Authors: | Balgobin Nandram |
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Institution: | Department of Statistics and Actuarial Science , University of Iowa , Iowa City, 52242, Iowa |
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Abstract: | An assessment is made of the number of observations on ordinal data necessary for reasonable power in a significance test of the null hypothesis of a logit model versus an alternative of a complementary log-log and vice versa. The conclusion is that quite modest numbers of observations, e.g. 50-100, are adequate provided that the boundaries of the ordinal scale are suitably defined. |
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Keywords: | asymptotic theory cut points discriminant indices link junctions Nelder-Mead algorithm ordinal response separate families of hypotheses |
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