Description Usage Arguments Details Value References See Also
Main function to estimate and validate a CUSH model for ordinal responses, with or without covariates to explain the shelter effect.
1 |
Formula |
Object of class Formula. |
data |
Data frame from which model matrices and response variables are taken. |
... |
Additional arguments to pass to the fitting procedure. Argument X specifies the matrix of subjects covariates to include in the model for explaining the shelter effect (not including intercept). |
The estimation procedure is not iterative, so a null result for CUSH$niter is produced. The optimization procedure is run via "optim". If covariates are included, the variance-covariance matrix is computed as the inverse of the returned numerically differentiated Hessian matrix (option: hessian=TRUE as argument for "optim"). If not positive definite, it returns a warning message and produces a matrix with NA entries.
An object of the class "CUSH" is a list containing the following results:
estimates |
Maximum likelihood parameters estimates |
loglik |
Log-likelihood function at the final estimates |
varmat |
Variance-covariance matrix of final estimates (if X=0, it returns the square of the estimated standard error for the shelter parameter δ) |
BIC |
BIC index for the estimated model |
Capecchi S. and Piccolo D. (2015). Dealing with heterogeneity/uncertainty in sample survey with ordinal data,
IFCS Proceedings, University of Bologna
Capecchi S. and Iannario M. (2016). Gini heterogeneity index for detecting uncertainty in ordinal data surveys,
Metron - DOI: 10.1007/s40300-016-0088-5
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