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A statistical model for the analysis of ordinal level dependent variables
Abstract
This paper develops a model, with assumptions similar to those of the linear model, for use when the observed dependent variable is ordinal. This model is an extension of the dichotomous probit model, and assumes that the ordinal nature of the observed dependent variable is due to methodological limitations in collecting the data, which force the researcher to lump together and identify various portions of an (otherwise) interval level variable. The model assumes a linear eflect of each independent variable as well as a series of break points between categories for the dependent variable. Maximum likelihood estimators are found for these parameters, along with their asymptotic sampling distributions, and an analogue of R 2 (the coefficient of determination in regression analysis) is defined to measure goodness of fit. The use of the model is illustrated with an analysis of Congressional voting on the 1965 Medicare Bill.
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Citations
Cited by
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Imai, K., Keele, L., & Tingley, D. (2010) · Psychological Methods · doi:10.1037/a0020761 · Cited by 4,143
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Breen, R., Karlson, K. B., & Holm, A. (2013) · Sociological Methods & Research · doi:10.1177/0049124113494572 · Cited by 818
Analyzing ordinal data with metric models: What could possibly go wrong?
Liddell, T. M., & Kruschke, J. K. (2018) · Journal of Experimental Social Psychology · doi:10.1016/j.jesp.2018.08.009 · Cited by 805
Exploring the potential of using an AI language model for automated essay scoring
Mizumoto, A., & Eguchi, M. (2023) · Research Methods in Applied Linguistics · doi:10.1016/j.rmal.2023.100050 · Cited by 647
Metadata
- Authors
- McKelvey, R. D., & Zavoina, W.
- Venue
- The Journal of Mathematical Sociology
- Publisher
- Informa UK Limited
- Published
- 1975-01
- Volume
- 4
- Issue
- 1
- Pages
- 103-120
- ISSN
- 0022-250X (ISSN-L)
- 1545-5874
- OpenAlex
- W2049390752
- Cited by
- 2,599
- References
- 0
- FWCI
- 3.54
- Type
- journal article
- Language
- en
- Open access
- closed
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- McKelvey, R. D., & Zavoina, W. (1975). A statistical model for the analysis of ordinal level dependent variables. The Journal of Mathematical Sociology. https://doi.org/10.1080/0022250x.1975.9989847
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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