Simulating Ordinal Data

Multivariate Behavioral Research
Pier Alda Ferrari, Alessandro Barbiero

Abstract

The increasing use of ordinal variables in different fields has led to the introduction of new statistical methods for their analysis. The performance of these methods needs to be investigated under a number of experimental conditions. Procedures to simulate from ordinal variables are then required. In this article, we deal with simulation from multivariate ordinal random variables. We propose a new procedure for generating samples from ordinal random variables with a prespecified correlation matrix and marginal distributions. Its features are examined and compared with those of its main competitors. A software implementation in R is also provided along with examples of its application.

References

Apr 11, 2009·The British Journal of Mathematical and Statistical Psychology·Rhonda K Kowalchuk, Todd C Headrick
Feb 11, 2010·Advances in Health Sciences Education : Theory and Practice·Geoff Norman
Jul 1, 2008·Multivariate Behavioral Research·John Ruscio, Walter Kaczetow

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Citations

Jun 7, 2014·Journal of Biopharmaceutical Statistics·Hakan Demirtas, Yasemin Yavuz
Nov 27, 2015·Multivariate Behavioral Research·Pier Alda Ferrari, Emanuela Raffinetti
Nov 27, 2015·Multivariate Behavioral Research·Jennifer KoranTzu Chun Kuo
May 27, 2015·IEEE Transactions on Neural Networks and Learning Systems·Marko Robnik-Sikonja
Apr 15, 2020·PLoS Computational Biology·Olga A VsevolozhskayaDmitri V Zaykin
Nov 26, 2016·Journal of Statistical Computation and Simulation·Anup Amatya, Hakan Demirtas
Jan 27, 2019·Behavior Research Methods·Fan Jia, Wei Wu
Oct 28, 2020·Psychometrika·Alessandro Barbiero, Asmerilda Hitaj
Jan 12, 2021·PLoS Medicine·Benjamin SeligmanDavid E Bloom

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Methods Mentioned

BETA
PCA

Software Mentioned

NORTA
NLPCA
R
mvtnorm
NORTA NORmal
GenOrd

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