data50j3 | R Documentation |

Simulated data from OR2 model for *p = 0.5* (i.e., 50th quantile)

data(data50j3)

This data contains 500 observations generated from a quantile
ordinal model with 3 outcomes at the 50th quantile (i.e., *p = 0.5*).
The model specifics for generating the data are as follows: *β = (-4, 6, 5)*, X ~ Unif(0, 1), and
*ε* ~ AL(*0, σ = 1, p = 0.5*). The cut-points *(0, 3)* are used to classify the
continuous values of the dependent variable into 3 categories, which forms the ordinal outcomes.

Returns a list with components

`x`

: a matrix of covariates, including a column of ones.`y`

: a column vector of ordinal outcomes.

Kozumi, H., and Kobayashi, G. (2011). “Gibbs Sampling Methods for Bayesian Quantile Regression.” Journal of Statistical Computation and Simulation, 81(11), 1565–1578. DOI: 10.1080/00949655.2010.496117

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

mvrnorm, Asymmetric Laplace Distribution

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