The proportional odds with partial proportionality constraints model for ordinal response variables

Social Science Research

Volumn 41, Issue 1, 2012, Pages 182-198

  Fullerton, Andrew S ^a   Xu, Jun ^b  

^a OKLAHOMA STATE UNIVERSITY   (United States)

^b BALL STATE UNIVERSITY   (United States)

Author keywords

Cumulative odds models; Ordered response models; Proportional odds assumption

Indexed keywords

EID: 82855161317     PISSN: 0049089X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ssresearch.2011.09.003     Document Type: Article

References (52)

1. Agresti Alan Categorical Data Analysis 2002, John Wiley & Sons, Hoboken, NJ.
2. Agresti Alan Analysis of Ordinal Categorical Data 2010, Wiley, New York, NY. second ed.
3. Aitchison J., Silvey S.D. The generalization of probit analysis to the case of multiple responses. Biometrika 1957, 44(1-2):131-140.
4. Allison Paul Missing Data 2002, SAGE Publications, Thousand Oaks, CA.
5. Anderson J.A. Regression and ordered categorical variables. Journal of the Royal Statistical Society, Series B (Methodological) 1984, 46(1):1-30.
6. Andrich D. A model for contingency tables having an ordered response classification. Biometrics 1979, 35(2):403-415.
7. Bliss C. The method of probits. Science 1934, 79(2037):38-39.
8. Bliss C. The method of probits: a correction. Science 1934, 79(2053):409-410.
9. Brant Rollin Assessing proportionality in the proportional odds model for ordinal logistic regression. Biometrics 1990, 46(4):1171-1178.
10. Branton Regina P., Jones Bradford S. Reexamining racial attitudes: the conditional relationship between diversity and socioeconomic environment. American Journal of Political Science 2005, 49(2):359-372.
11. Cameron A.Colin, Trivedi Pravin K. Microeconometrics: Methods and Applications 2005, Cambridge University Press, New York, NY.
12. 2 common tests. Biometrics 1954, 10(4):417-451.
13. Cole Steven R., Ananth Cande V. Regression models for unconstrained, partially or fully constrained continuation odds ratios. International Journal of Epidemiology 2001, 30(6):1379-1382.
14. Cole Steven R., Allison Paul D., Ananth Cande V. Estimation of cumulative odds ratios. Annals of Epidemiology 2004, 14(3):172-178.
15. Davis James A., Smith Tom W. The General Social Survey, 1972-2008 Cumulative Codebook and Data File 2009, NORC and University of Chicago, Chicago, IL.
16. Fienberg Stephen E., Rinaldo Alessandro Three centuries of categorical data analysis: log-linear models and maximum likelihood estimation. Journal of Statistical Planning and Inference 2006, 137(11):3430-3445.
17. Finney D. Probit Analysis: A Statistical Treatment of the Sigmoid Response Curve 1947, Cambridge University Press, Cambridge, UK.
18. Fu Vincent Kang Estimating generalized ordered logit models. Stata Technical Bulletin 1998, 8(1):160-164.
19. Fujimoto Kayo From women's college to work: inter-organizational networks in the Japanese female labor market. Social Science Research 2005, 34(4):651-681.
20. Fullerton Andrew S. A conceptual framework for ordered logistic regression models. Sociological Methods and Research 2009, 38(2):306-347.
21. Fullerton Andrew S., Dixon Jeffrey C. Racialization, asymmetry and the context of welfare attitudes in the American states. Journal of Political and Military Sociology 2009, 37(1):95-120.
22. Fullerton Andrew S., Dixon Jeffrey C. Generational conflict or methodological artifact? reconsidering the relationship between age and policy attitudes in the US, 1984-2008. Public Opinion Quarterly 2010, 74(4):643-673.
23. Fullerton Andrew S., Wallace Michael Traversing the flexible turn: US workers' perceptions of job security, 1977-2002. Social Science Research 2007, 36(1):201-221.
24. Gould, William., Jeffrey Pitblado., William, Sribney., 2003. Maximum Likelihood Estimation Using Stata, second ed. Stata Press, College Station, TX.
25. Greene William H. Econometric Analysis 2007, Prentice-Hall, Upper Saddle River, NJ.
26. Greene William H., Hensher David A. Modeling Ordered Choices: A Primer 2010, Cambridge University Press, Cambridge, UK.
27. Gurland J., Lee J., Dahm P. Polychotomous quantal response in biological assay. Biometrics 1960, 16(3):382-398.
28. Hauser Robert M., Andrew Megan Another look at the stratification of educational transitions: the logistic response model with partial proportionality constraints. Sociological Methodology 2006, 36(1):1-26.
29. Hauser Robert M., Goldberger Arthur S. The treatment of unobservable variables in path analysis. Sociological Methodology 1971, 3(1):81-117.
30. Heise David R. Employing nominal variables, induced variables, and block variables in path analyses. Sociological Methods and Research 1972, 1(2):147-173.
31. Hogg Robert V., Tanis Elliot A. Probability and Statistical Inference 1996, Prentice Hall, Upper Saddle River, NJ. sixth ed.
32. Jöreskog Karl G., Goldberger Arthur S. Estimation of a model with multiple indicators and multiple causes of a single latent variable. Journal of the American Statistical Association 1975, 70(351):631-639.
33. Kim Ji-Hyun Assessing practical significance of the proportional odds assumption. Statistics & Probability Letters 2003, 65(3):233-239.
34. Little Roderick J.A., Rubin Donald B. Statistical Analysis with Missing Data 2002, John Wiley & Sons, New York, NY.
35. Long J.Scott Regression Models for Categorical and Limited Dependent Variables 1997, Sage Publications, Thousand Oaks, CA.
36. Long J.Scott, Freese Jeremy Regression Models for Categorical Dependent Variables Using Stata 2006, Stata Press, College Station, TX. second ed.
37. Maddala G.S. Limited-Dependent and Qualitative Variables in Econometrics 1983, Cambridge University Press, Cambridge, UK.
38. McCullagh P. The use of the logistic function in the analysis of ordinal data. Bulletin of the International Statistical Institute 1979, 48(1):21-33.
39. McCullagh P. Regression models for ordinal data. Journal of the Royal Statistical Society Series B 1980, 42(2):109-142.
40. McCullagh P. The proportional odds model. The Encyclopedia of Biostatistics 1998, 3560-3563. John Wiley and Sons, Chichester, UK. P. Armitage, T. Colton (Eds.).
41. McCullagh Peter, Nelder John A. Generalized Linear Models 1989, Chapman and Hall, New York, NY. second ed.
42. McKelvey Richard D., Zavoina William A statistical model for the analysis of ordinal level dependent variables. Journal of Mathematical Sociology 1975, 4(1):103-120.
43. Peterson Bercedis, Harrell Frank E. Partial proportional odds models for ordinal response variables. Applied Statistics 1990, 39(2):205-217.
44. Plackett R. The Analysis of Categorical Data 1974, Griffin, London.
45. Rubin Donald B. Multiple Imputation for Non-Response in Surveys 1987, John Wiley & Sons, New York, NY.
46. Sherkat Darren E., de Vries Kylan Mattias, Creek Stacia Race, religion, and opposition to same-sex marriage. Social Science Quarterly 2010, 91(1):80-98.
47. Snell E. A scaling procedure for ordered categorical data. Biometrics 1964, 20(3):592-607.
48. Walker Strother H., Duncan David B. Estimation of the probability of an event as a function of several independent variables. Biometrika 1967, 54(1-2):167-179.
49. Williams Richard Generalized ordered logit/partial proportional odds models for ordinal dependent variables. Stata Journal 2006, 6(1):58-82.
50. Wooldridge Jeffrey M. Econometric Analysis of Cross Section and Panel Data 2010, MIT Press, Cambridge, MA.
51. Xiao Chenyang, McCright Aaron M. Environmental concern and sociodemographic variables: a study of statistical models. The Journal of Environmental Education 2007, 38(2):3-14.
52. 2 goodness of fit tests and the accuracy of approximations for the null distribution. Journal of the American Statistical Association 1970, 65(330):864-886.