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Full-Text Articles in Statistical Methodology
Bayesian Hierarchical Modeling With 3pno Item Response Models, Yanyan Sheng, Todd Christopher Headrick
Bayesian Hierarchical Modeling With 3pno Item Response Models, Yanyan Sheng, Todd Christopher Headrick
Todd Christopher Headrick
Fully Bayesian estimation has been developed for unidimensional IRT models. In this context, prior distributions can be specified in a hierarchical manner so that item hyperparameters are unknown and yet still have their own priors. This type of hierarchical modeling is useful in terms of the three-parameter IRT model as it reduces the difficulty of specifying model hyperparameters that lead to adequate prior distributions. Further, hierarchical modeling ameliorates the noncovergence problem associated with nonhierarchical models when appropriate prior information is not available. As such, a Fortran subroutine is provided to implement a hierarchical modeling procedure associated with the three-parameter normal …
Bayesian Skew Selection For Multivariate Models, Michael S. Smith, Anastasios Panagiotelis
Bayesian Skew Selection For Multivariate Models, Michael S. Smith, Anastasios Panagiotelis
Michael Stanley Smith
We develop a Bayesian approach for the selection of skew in multivariate skew t distributions constructed through hidden conditioning in the manners suggested by either Azzalini and Capitanio (2003) or Sahu, Dey and Branco~(2003). We show that the skew coefficients for each margin are the same for the standardized versions of both distributions. We introduce binary indicators to denote whether there is symmetry, or skew, in each dimension. We adopt a proper beta prior on each non-zero skew coefficient, and derive the corresponding prior on the skew parameters. In both distributions we show that as the degrees of freedom increases, …
Local Spectral Analysis Via A Bayesian Mixture Of Smoothing Splines” Journal Of The American Statistical Association, Sally Wood, Ori Rosen, David Stoffer
Local Spectral Analysis Via A Bayesian Mixture Of Smoothing Splines” Journal Of The American Statistical Association, Sally Wood, Ori Rosen, David Stoffer
Sally Wood
No abstract provided.