Generating ordinal data
AbstractDue to the increasing use of ordinal variables in different fields, new statistical methods for their analysis have been introduced, whose performances need to be investigated under different experimental conditions. Proper procedures to simulate from ordinal variables are then requested. The present paper deals with the simulation from multivariate ordinal random variables. A new proposal for generating samples from ordinal random variables with pre-specified correlation matrix and marginal distributions is presented. Its features are examined and a comparison to its main competitors is discussed. A software implementation by the R package is provided. Examples of application are also supplied.
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Bibliographic InfoPaper provided by Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano in its series Departmental Working Papers with number 2011-38.
Date of creation: 17 Dec 2011
Date of revision:
Likert scale; marginal distribution; Monte Carlo simulation; multivariate discrete random variable; non-linear principal component analysis; Pearson correlation coefficient;
Find related papers by JEL classification:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
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