Algebraic Representations of Beliefs and Attitudes II
Microbelief Models for Dichotomous Belief Data
Bibliographic Data
| ID | 8019696 |
|---|---|
| Authors | J Levi Martins (0000-0002-4211-1791, Rutgers, the State University of New Jersey), James A Wiley (The Public Health Institute), James Wiley (0000-0001-9587-4461, Public Health Institute) |
| Year | 2000 |
| Volume | 30 |
| Issue | 1 |
| Pages | 123-164 |
| Publication date | 2000-08-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Sociological Methodology (JOURNAL) |
| Journal identifiers | ISSN: 0081-1750 • E-ISSN: 1467-9531 |
| Publisher | SAGE Publishing (PUBLISHER • US) |
| DOI | 10.1111/0081-1750.00077 |
| OpenAlex | W2059122402 |
| Language | EN |
| Citations received | 8 |
| References cited | 30 |
It may often be the case that the beliefs about which survey researchers query respondents are composed of discrete components, such that holding all of the components is necessary to give a “yes” response. Simple logical relations, which some researchers have proposed may structure belief data, may obtain between these components, and not between the beliefs that are actually measured. This paper demonstrates that an algebraic inversion of a data matrix, first used in test theory by Haertel and Wiley (1993), can be seen as a unique and interpretable decomposition that can recover information regarding the compositional formulas of the measured beliefs as well as the logical relations between the unobserved components. The inversion is illustrated with a set of data from the GSS. Finally, the conditions under which related techniques are then helpful or not helpful for analyzing survey data are discussed
Algebraic number · Epistemology · Inversion (geology · Logical conjunction · Set (abstract data type · Simple (philosophy · Statistics · Survey data collection · Bayesian Modeling and Causal Inference · Computer Science · Data Management and Algorithms · Mathematics · Psychology · Theoretical Computer Science
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| Unique citing works | 8 |
|---|---|
| Citations per year | 0,31 |
| Citation span | 2000 - 2023 (24) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 8 |