data25j3 {bqror}

Simulated data from the OR2 model for p = 0.25 (i.e., 25th quantile)

Description

Simulated data from the OR2 model for p = 0.25 (i.e., 25th quantile)

Usage

data(data25j3)

Details

This data contains 500 observations generated from a quantile ordinal model with 3 outcomes at the 25th quantile (i.e., p = 0.25). The model specifics for generating the data are as follows: \beta = (-4, 6, 5), X ~ Unif(0, 1), and \epsilon ~ AL(0, \sigma = 1, p = 0.25). The cut-points (0, 3) are used to classify the continuous values of the dependent variable into 3 categories, which form the ordinal outcomes.

Value

Returns a list with components

x:

a matrix of covariates, including a column of ones.

y:

a column vector of ordinal outcomes.

References

Rahman, M. A. (2016). '"Bayesian Quantile Regression for Ordinal Models."' Bayesian Analysis, 11(1): 1-24. DOI: 10.1214/15-BA939

Yu, K., and Zhang, J. (2005). '"A Three-Parameter Asymmetric Laplace Distribution."' Communications in Statistics - Theory and Methods, 34(9-10), 1867-1879. DOI: 10.1080/03610920500199018

See Also

mvrnorm, Asymmetric Laplace Distribution