Comparison of Scaling Methods for Multivariate Ordinal Data
| Autor: | LI,SHU-YING, 李姝瑩 |
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| Rok vydání: | 2009 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 97 In practice, ordinal data are usually collected and inappropriately treated as continuous data analyzed with some statistical methods which are only suitable for continuous data. A suitable quantification for ordinal data is necessary that could enable us conduct quantitative analysis with qualitative data. An appropriate quantification method for multivariate ordinal data should simultaneously consider (1) ordinal relationship among levels of the variable, (2) correlation among variables, and (3) continuity of quantified data. Based upon the quantification methods from Pölz (1995) and Van de Geer (1992) this thesis proposes a quantification method for multivariate ordinal data. Both simulation approach and empirical analysis are used to compare the performance of the quantification method with traditional method. The study results show that the quantification method for multivariate ordinal data proposed by this thesis could not only transfer ordinal data into continuous data but also keep the correlation among variables and ordinal relationship among levels of the variable. The multivariate ordinal data rescaled by the methods proposed by this thesis can further be directly analyzed with any statistical methods. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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