The consequences of unobserved heterogeneity in a sequential logit model

Research in Social Stratification and Mobility

Volumn 29, Issue 3, 2011, Pages 247-262

  Buis, Maarten L ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

Mare model; Sensitivity analysis; Sequential response model; Unobserved heterogeneity

Indexed keywords

EID: 80052879493     PISSN: 02765624     EISSN: None     Source Type: Book Series    
DOI: 10.1016/j.rssm.2010.12.006     Document Type: Article

References (55)

1. Agresti A. Categorical data analysis 2002, Wiley-Interscience, Hoboken, NJ. 2nd ed.
2. Ai C., Norton E.C. Interaction terms in logit and probit models. Economics Letters 2003, 80(1):123-129.
3. Allison P.D. Comparing logit and probit coefficients across groups. Sociological Methods & Research 1999, November, 28(2):186-208.
4. Angrist J.D., Pischke J.-S. Mostly harmless econometrics: An empiricist's companion 2008, Princeton University Press, Princeton, NJ.
5. Arends-Kuenning M., Duryea S. The effect of parental presence, parents' education, and household headship on adolescents' schooling and work in Latin America. Journal of Family and Economic Issues 2006, 27(2):263-286.
6. Breen R., Jonsson J.O. Inequality of opportunity in comparative perspective: Recent research on educational and social mobility. Annual Review of Sociology 2005, 31:223-243.
7. Breen R., Luijkx R., Müller W., Pollak R. Nonpersistent inequality in educational attainment: Evidence from eight European countries. American Journal of Sociology 2009, 114(5):1475-1521.
8. Buis, M. L. (2010a). Inequality of educational outcome and inequality of educational opportunity in the Netherlands during the 20th century. Ph.D. thesis, Faculty of Social Sciences, VU-University Amsterdam.
9. Buis M.L. Stata tip 87: Interpretation of interactions in non-linear models. The Stata Journal 2010, 10(2):305-308.
10. Buis M.L. seqlogit: Stata module to fit a sequential logit model, version 1.1.12 2010, http://econpapers.repec.org/software/bocbocode/S456843.htm.
11. Cameron S.V., Heckman J.J. Life cycle schooling and dynamic selection bias: Models and evidence for five cohorts of American males. The Journal of Political Economy 1998, 106(2):262-333.
12. Chevalier A., Lanot G. The relative effect of family characteristics and financial situation on educational achievement. Education Economics 2002, 10(2):165-181.
13. Colding B. A dynamic analysis of educational progression of children of immigrants. Labour Economics 2006, 13(4):479-492.
14. Cragg J.G., Uhler R.S. The demand for automobiles. The Canadian Journal of Economics 1970, 3(3):386-406.
15. De Graaf P.M., Ganzeboom H.B. Family background and educational attainment in the Netherlands for the 1891-1960 birth cohorts. Persistent inequality: Changing educational attainment in thirteen countries 1993, 75-99. Westview Press, Boulder, (Chapter 4). Y. Shavit, H.-P. Blossfeld (Eds.).
16. DiPrete T.A., Gangl M. Assessing bias in the estimation of causal effects: Rosenbaum bounds on matching estimates and instrumental variables with imperfect instruments. Sociological Methodology 2004, 34:271-310.
17. Drukker D.M., Gates R. Generating Halton sequences using Mata. The Stata Journal 2006, 6(2):214-228.
18. Erikson R., Goldthorpe J.H., Jackson M., Yaish M., Cox D.R. On class differentials in educational attainment. Proceedings of the National Academy of Science 2005, 102(27):9730-9733.
19. Fitzmaurice G.M., Laird N.M., Ware J.H. Applied longitudinal analysis 2004, John Wiley & Sons., Inc., Hoboken, NJ.
20. Fox J. Applied regression analysis, linear models, and related methods 1997, Sage, Thousand Oaks.
21. Ganzeboom H.B., Treiman D.J. Three internationally standardised measures for comparative research on occupational status. Advances in cross-national comparison: A European working book for demographic and socio-economic variables 2003, 159-193. Kluwer Academic Press, New York, (Chapter 9). J.H. Hoffmeyer-Zlotnik, C. Wolf (Eds.).
22. Ganzeboom H.B., Treiman D.J. International stratification and mobility file 2009, Accessed 07.09.09. http://home.fsw.vu.nl/hbg.ganzeboom/ISMF/index.htm.
23. Halton J.H. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Numerische Mathematik 1960, 2(1):84-90.
24. Harding D.J. Counterfactual models of neighbourhood effects: The effect of neighbourhood poverty on dropping out and teenage pregnancy. The American Journal of Sociology 2003, 109(3):676-719.
25. Heckman J.J., Singer B. A method for minimizing the impact of distributional assumptions in econometric models for duration data. Econometrica 1984, March, 52(2):271-320.
26. Holm A., Jæger M.M. Dealing with selection bias in educational transition models: The bivariate probit selection model. Research in Social Stratification and Mobility 2011, 29(3):311-322.
27. Hout M., DiPrete T.A. What we have learned: RC 28's contributions to knowledge about social stratification. Research in Social Stratification and Mobility 2006, 24(1):1-20.
28. Karlson K.B. Multiple paths in educational transitions: A multinomial transition model with unobserved heterogeneity. Research in Social Stratification and Mobility 2011, 29(3):323-341.
29. Kloosterman R., Ruiter S., De Graaf P.M., Kraaykamp G. Parental education, children's performance and the transition to higher secondary education: Trends in primary and secondary effects over five dutch school cohorts (1965-99). The British Journal of Sociology 2009, June, 60(2):377-398.
30. Lauer C. Family background, cohort and education: A French-German comparison based on a multivariate ordered probit model of educational attainment. Labour Economics 2003, 10(2):231-251.
31. Lindsay B.G. The geometry of mixture likelihoods: A general theory. The Annals of Statistics 1983, 11(1):86-94.
32. Long J.S. Regression models for categorical and limited dependent variables. Advanced quantitative techniques in the social sciences, 7 1997, Sage Publications, Thousand Oaks.
33. Lucas S.R., Fucella P.N., Berends M. A neo-classical education transitions approach: A corrected tale for three cohorts. Research in Social Stratification and Mobility 2011, 29(3):263-285.
34. Maddala G.S. Limited dependent and qualitative variables in econometrics 1983, Cambridge University Press, Cambridge.
35. Mare R.D. Social background composition and educational growth. Demography 1979, February, 16(1):55-71.
36. Mare R.D. Social background and school continuation decisions. Journal of the American Statistical Association 1980, 75(370):295-305.
37. Mare R.D. Change and stability in educational stratification. American Sociological Review 1981, 46(1):72-87.
38. Mare R.D. Educational stratification on observed and unobserved components of family background. Persistent inequality: Changing educational attainment in thirteen countries 1993, 351-376. Westview Press, Boulder, (Chapter 15). Y. Shavit, H.-P. Blossfeld (Eds.).
39. Mare R.D. Discrete-time bivariate hazards with unobserved heterogeneity: A partially observed contingency table approach. Sociological Methodology 1994, 24:341-383.
40. Mare R.D. Response: Statistical models of educational stratification-Hauser and Andrew's models for school transitions. Sociological Methodology 2006, 11:27-37.
41. Mood C. Logistic regression: Why we cannot do what we think we can do, and what we can do about it. European Sociological Review 2010, 26(1):67-82.
42. Neuhaus J.M., Jewell N.P. A geometric approach to assess bias due to omited covariates in generalized linear models. Biometrika 1993, December, 80(4):807-815.
43. Neuhaus J.M., Kalbfleisch J.D., Hauck W.W. A comparison of cluster-specific and population-averaged approaches for analyzing correlated binary data. International Statistical Review 1991, 59(1):25-35.
44. O'Rand A.M., Henretta J.C. Delayed career entry, industrial pension structure, and early retirement in a cohort of unmarried women. American Sociological Review 1982, 47(3):365-373.
45. Rijken, S. (1999). Education expansion and status attainment: A cross-national and over-time comparison. Ph.D. thesis, ICS, Utrecht University, Utrecht.
46. Robert C.P., Casella G. Monte Carlo statistical methods. Springer texts in statistics 2004, Springer-Verlag, New York. 2nd ed.
47. Rosenbaum P.R. Observational studies 2002, Springer, New York. 2nd ed.
48. Rosenbaum P.R., Rubin D.B. Assessing sensitivity to an unobserved binary covariate in an observational study with binary outcome. Journal of the Royal Statistical Society Series B 1983, 45(2):212-218.
49. Shavit Y., Blossfeld H.-P. Persistent inequality: Changing educational attainment in thirteen countries 1993, Westview Press, Boulder.
50. Sribney W., Wiggins V.L. Standard errors, confidence intervals, and significance tests for ORs, HRs, IRRs, and RRRs 2010, Accessed 18.08.10. http://www.stata.com/support/faqs/stat/2deltameth.html.
51. StataCorp Stata statistical software: Release 11 2009, StataCorp LP, College Station, TX.
52. Tam T. Accounting for dynamic selection bias in educational transitions: The Cameron-Heckman latent class estimator and its generalizations. Research in Social Stratification and Mobility 2011, 29(3):287-310.
53. Train K.E. Discrete choice methods with simulation 2003, Cambridge University Press, Cambridge.
54. Tutz G. Sequential models in categorical regression. Computational Statistics & Data Analysis 1991, 11(3):275-295.
55. Williams R. Using heterogenous choice models to compare logit and probit coefficients across groups. Sociological Methods & Research 2009, 37(4):531-559.