inv_glob function

Invert marginal logits

Function used within est_multi_glob to invert marginal logits and fit the marginal regression model; this is an internal function.

inv_glob(eta, type = "g", der = F)

Arguments

• eta: vector of logits
• type: type of logit (l = local-logits, g = global-logits)
• der: indicator that the derivative of the canonical parameters with respect to the vector of marginal logits is required (F = not required, T = required)

Returns

• p: vector of probabilities

• D: derivative of the canonical parameters with respect to the vector of marginal logits (if der = T)

References

Colombi, R. and Forcina, A. (2001), Marginal regression models for the analysis of positive association of ordinal response variables, Biometrika, 88 , 1007-1019.

Glonek, G. F. V. and McCullagh, P. (1995), Multivariate logistic models, Journal of the Royal Statistical Society, Series B, 57 , 533-546.

Author(s)

Francesco Bartolucci - University of Perugia (IT)