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Recovering a Basic Space From a Set of Issue Scales
Abstract
This paper develops a procedure for estimating the basic dimensions underlying a set of issue or attribute scales. A simple Hinich-Ordeshook spatial theory of voting is used to model Converse's fundamental insight that individuals' positions on issues are bundled together, and the knowledge of one or two issue positions makes the remaining positions very predictable. The model assumes that individuals' positions on a set issue or attribute dimensions are determined by the individuals' positions on a small number of underlying evaluative or basic dimensions. The procedure developed in this paper for estimating these basic dimensions is, in effect, a method of performing singular value decomposition of a matrix with missing elements. Monte Carlo testing shows that the procedure reliably reproduces the missing elements. Because of this reliability, the estimation procedure can be used to produce Eckart-Young matrix lower rank approximations. A number of applications to political data are...
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Cites
Solving Least Squares Problems
Lawson, C. L., & Hanson, R. J. (1995) · doi:10.1137/1.9781611971217 · Cited by 7,103
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Changing aid regimes? U.S. foreign aid from the Cold War to the War on Terror
Fleck, R. K., & Kilby, C. (2010) · Journal of Development Economics · doi:10.1016/j.jdeveco.2009.09.011 · Cited by 297
The Microfoundations of Mass Polarization
Levendusky, M. S. (2009) · Political Analysis · doi:10.1093/pan/mpp003 · Cited by 125
SHOR, B., BERRY, C., & MCCARTY, N. (2010) · Legislative Studies Quarterly · doi:10.3162/036298010792069198 · Cited by 100
La fragilidad de los consensos. Polarización ideológica en el Chile post Pinochet
Lindh, J., Fábrega, J., & González, J. (2019) · Revista de ciencia política (Santiago) · doi:10.4067/s0718-090x2019000100099 · Cited by 14
Metadata
- Authors
- Poole, K. T.
- Venue
- American Journal of Political Science
- Publisher
- JSTOR
- Published
- 1998-07
- Volume
- 42
- Issue
- 3
- Pages
- 954
- ISSN
- 0092-5853 (ISSN-L)
- OpenAlex
- W2102470010
- Cited by
- 467
- References
- 1
- FWCI
- 19.85
- Type
- journal article
- Language
- en
- Open access
- closed
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