Identification and Small Sample Estimation of Thurstone's Unrestricted Model for Paired Comparisons Data
Bibliographic Data
| ID | 19291128 |
|---|---|
| Authors | Alberto Maydeu‐olivare (0000-0001-5790-392X, Universitat de Barcelona), Adolfo Hernandez (0000-0001-7608-6697, University of Exeter) |
| Year | 2007 |
| Volume | 42 |
| Issue | 2 |
| Pages | 323-347 |
| Publication date | 2007-06-29 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Multivariate Behavioral Research (JOURNAL) |
| Journal identifiers | ISSN: 0027-3171 • E-ISSN: 1532-7906 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/00273170701360555 |
| PMID | 26765490 |
| OpenAlex | W2082670463 |
| Language | EN |
| Citations received | 5 |
| References cited | 23 |
The interpretation of a Thurstonian model for paired comparisons where the utilities' covariance matrix is unrestricted proved to be difficult due to the comparative nature of the data. We show that under a suitable constraint the utilities' correlation matrix can be estimated, yielding a readily interpretable solution. This set of identification constraints can recover any true utilities' covariance matrix, but it is not unique. Indeed, we show how to transform the estimated correlation matrix into alternative correlation matrices that are equally consistent with the data but may be more consistent with substantive theory. Also, we show how researchers can investigate the sample size needed to estimate a particular model by exploiting the simulation capabilities of a popular structural equation modeling statistical package
Constraint (computer-aided design) · Correlation · Covariance · Covariance matrix · Data set · Estimation of covariance matrices · Identification (biology) · Matrix (chemical analysis) · Sample (material) · Sample size determination · Scatter matrix · Set (abstract data type) · Statistics · Structural equation modeling · Thurstone scale · Computer Science · Mathematics · Sensory Analysis and Statistical Methods
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| Unique citing works | 5 |
|---|---|
| Citations per year | 0,28 |
| Citation span | 2008 - 2017 (10) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 5 |