The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Conditional Association and Unidimensionality in Monotone Latent Variable Models
Open accessAbstract
Latent variable models represent the joint distribution of observable variables in terms of a simple structure involving unobserved or latent variables, usually assuming the conditional independence of the observable variables given the latent variables. These models play an important role in educational measurement and psychometrics, in sociology and in population genetics, and are implicit in some work on systems reliability. We study a broad class of latent variable models, namely the monotone unidimensional models, in which the latent variable is a scalar, the observable variables are conditionally independent given the latent variable and the conditional distribution of the observables given the latent variable is stochastically increasing in the latent variable. All models in this class imply a new strong form of positive dependence among the observable variables, namely conditional (positive) association. This positive dependence condition may be used to test whether any model in this class can provide an adequate fit to observed data. Various applications, generalizations and a numerical example are discussed.
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A tutorial on regularized partial correlation networks
Epskamp, S., & Fried, E. I. (2018) · Psychological Methods · doi:10.1037/met0000167 · Cited by 2,918
Comorbidity: a network perspective
Cramer, A. O. J., Waldorp, L. J., van der Maas, H. L. J., & Borsboom, D. (2010) · Behavioral and Brain Sciences · doi:10.1017/s0140525x09991567 · Cited by 1,575
Cramer, A. O. J., Van Der Sluis, S., Noordhof, A., Wichers, M., Geschwind, N., Aggen, S. H., Kendler, K. S., & Borsboom, D. (2012) · European Journal of Personality · doi:10.1002/per.1866 · Cited by 477
Fried, E. I. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.00309 · Cited by 367
Metadata
- Authors
- Holland, P. W., & Rosenbaum, P. R.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1986-12-01
- Volume
- 14
- Issue
- 4
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W1975578747
- Cited by
- 318
- References
- 34
- FWCI
- 6.97
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Holland, P. W., & Rosenbaum, P. R. (1986). Conditional Association and Unidimensionality in Monotone Latent Variable Models. The Annals of Statistics. https://doi.org/10.1214/aos/1176350174
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
