1932

Abstract

Abstract

This essay describes in simple terms some of the major concepts of categorical data analysis (CDA) that have been and will continue to be useful in the analysis of sociological data, examples of which include data in the area of social stratification and mobility, and in many other areas that make use of survey data and/or panel studies data, and in empirical studies of latent types, latent variables, and latent structures. The exposition does not make use of any mathematical formulas, and the only arithmetic used is very simple multiplication, division, and addition. Simple numerical examples, constructed for expository purposes, are used as an aid in describing the concepts of categorical data analysis that are considered in the essay. These concepts include quasi-independence, quasi-symmetry, symmetric association, uniform association, and other related concepts useful in the analysis of mobility tables, and also other concepts that are useful in other areas of study.

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2007-08-11
2024-05-04
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Literature Cited

  1. Caussinus H. 1966. Contribution à l’analyse statistique des tableaux de correlation. Ann. Fac. Sci. Univ. Toulouse 29:77–182 [Google Scholar]
  2. Clogg CC, Goodman LA. 1984. Latent structure analysis of a set of multidimensional contingency tables. J. Am. Stat. Assoc. 79:762–71 [Google Scholar]
  3. Clogg CC, Goodman LA. 1985. Simultaneous latent structure analysis in several groups. Sociol. Methodol. 16:81–110 [Google Scholar]
  4. Duncan OD. 1974. Stouffer award: Duncan requests reconsideration of award. Am. Sociol. Assoc. Footnotes 2:2–3 [Google Scholar]
  5. Duncan OD. 1975. The statistics of Leo Goodman. Soc. Indic. Newsl. 6:4–5 [Google Scholar]
  6. Duncan OD. 1979. How destination depends on origin in the occupational mobility table. Am. J. Sociol. 84:793–803 [Google Scholar]
  7. Duncan OD. 1985. New light on the 16-fold table. Am. J. Sociol. 91:88–128 [Google Scholar]
  8. Goodman LA. 1961. Statistical methods for the mover-stayer model. J. Am. Stat. Assoc. 56:841–68 [Google Scholar]
  9. Goodman LA. 1962. Statistical methods for analyzing processes of change. Am. J. Sociol. 68:57–78 [Google Scholar]
  10. Goodman LA. 1963. Statistical methods for the preliminary analysis of transaction flows. Econometrica 31:197–208 [Google Scholar]
  11. Goodman LA. 1964a. A short computer program for the analysis of transaction flows. Behav. Sci. 9:176–86 [Google Scholar]
  12. Goodman LA. 1964b. The analysis of persistence in a chain of multiple events. Biometrika 51:405–11 [Google Scholar]
  13. Goodman LA. 1965. On the statistical analysis of mobility tables. Am. J. Sociol. 70:564–85 [Google Scholar]
  14. Goodman LA. 1968. The analysis of cross-classified data: Independence, quasi-independence, and interactions in contingency tables with or without missing entries. J. Am. Stat. Assoc. 63:1091–31 [Google Scholar]
  15. Goodman LA. 1969a. How to ransack social mobility tables and other kinds of cross-classification tables. Am. J. Sociol. 75:1–40 [Google Scholar]
  16. Goodman LA. 1969b. On the measurement of social mobility: An index of status persistence. Am. Sociol. Rev. 34:831–50 [Google Scholar]
  17. Goodman LA. 1970. The multivariate analysis of qualitative data: Interactions among multiple classifications. J. Am. Stat. Assoc. 65:226–56 [Google Scholar]
  18. Goodman LA. 1971a. The analysis of multidimensional contingency tables: Stepwise procedures and direct estimation methods for building models for multiple classifications. Technometrics 13:33–61 [Google Scholar]
  19. Goodman LA. 1971b. A simple simultaneous test procedure for quasi-independence in contingency tables. J. R. Stat. Soc. Ser. C 20:165–77 [Google Scholar]
  20. Goodman LA. 1972a. Some multiplicative models for the analysis of cross-classified data. In Proc. 6th Berkeley Symp. Math. Stat. Probability ed. LM LeCam, J Neyman, EL Scott 1649–96 Berkeley: Univ. Calif. Press [Google Scholar]
  21. Goodman LA. 1972b. A general model for the analysis of surveys. Am. J. Sociol. 77:1035–86 [Google Scholar]
  22. Goodman LA. 1972c. A modified multiple regression approach to the analysis of dichotomous variables. Am. Sociol. Rev. 37:28–46 [Google Scholar]
  23. Goodman LA. 1973a. Causal analysis of data from panel studies and other kinds of surveys. Am. J. Sociol. 78:1135–91 [Google Scholar]
  24. Goodman LA. 1973b. The analysis of multidimensional contingency tables when some variables are posterior to others: A modified path analysis approach. Biometrika 60:179–92 [Google Scholar]
  25. Goodman LA. 1973c. Guided and unguided methods for the selection of models for a set of multidimensional contingency tables. J. Am. Stat. Assoc. 68:165–75 [Google Scholar]
  26. Goodman LA. 1974a. The analysis of systems of qualitative variables when some of the variables are unobservable. Part I: A modified latent structure approach. Am. J. Sociol. 79:1179–259 [Google Scholar]
  27. Goodman LA. 1974b. Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika 61:215–31 [Google Scholar]
  28. Goodman LA. 1975. A new model for scaling response patterns: An application of the quasi-independence concept. J. Am. Stat. Assoc. 70:755–68 [Google Scholar]
  29. Goodman LA. 1979a. Simple models for the analysis of association in cross-classifications having ordered categories. J. Am. Stat. Assoc. 74:537–52 [Google Scholar]
  30. Goodman LA. 1979b. Multiplicative models for the analysis of occupational mobility tables and other kinds of cross-classification tables. Am. J. Sociol. 84:804–19 [Google Scholar]
  31. Goodman LA. 1979c. Multiplicative models for square contingency tables with ordered categories. Biometrika 66:413–18 [Google Scholar]
  32. Goodman LA. 1979d. The analysis of qualitative variables using more parsimonious quasi-independence models, scaling models, and latent structures. In Qualitative and Quantitative Social Research: Papers in Honor of Paul F. Lazarsfeld ed. RK Merton, JS Coleman, PH Rossi pp. 119–37 New York: Free Press
  33. Goodman LA. 1979e. A brief guide to the causal analysis of data from surveys. Am. J. Sociol. 84:1078–95 [Google Scholar]
  34. Goodman LA. 1979f. On quasi-independence in triangular contingency tables. Biometrics 35:651–55 [Google Scholar]
  35. Goodman LA. 1981a. Three elementary views of loglinear models for the analysis of cross-classifications having ordered categories. Sociol. Methodol. 12:193–239 [Google Scholar]
  36. Goodman LA. 1981b. Criteria for determining whether certain categories in a cross-classification table should be combined, with special reference to occupational categories in an occupational mobility table. Am. J. Sociol. 87:612–50 [Google Scholar]
  37. Goodman LA. 1982. On a structural analysis of occupational mobility. In Social Structure and Network Analysis ed. PV Marsden, N Lin pp. 32–36 Beverly Hills, CA: Sage [Google Scholar]
  38. Goodman LA. 1987a. New methods for analyzing the intrinsic character of qualitative variables using cross-classified data. Am. J. Sociol. 93:529–83 [Google Scholar]
  39. Goodman LA. 1987b. The analysis of a set of multidimensional contingency tables using log-linear models, latent-class models, and correlation models: The Solomon data revisited. In Contributions to the Theory and Application of Statistics: A Volume in Honor of Herbert Solomon ed. AE Gelfand pp. 429–84 New York: Academic [Google Scholar]
  40. Goodman LA. 2002a. Contributions to the statistical analysis of contingency tables: Notes on quasi-symmetry, quasi-independence, log-linear models, log-bilinear models, and correspondence analysis models. Ann. Fac. Sci. Univ. Toulouse, Math. 11:525–40 [Google Scholar]
  41. Goodman LA. 2002b. Latent class analysis: The empirical study of latent types, latent variables, and latent structures. In Applied Latent Class Analysis ed. JA Hagenaars, AL McCutcheon pp. 2–55 Cambridge, UK: Cambridge Univ. Press [Google Scholar]
  42. Goodman LA. 2004. Three different ways to view cross-classified categorical data: Rasch-type models, log-linear models, and latent-class models. The Inaugural Otis Dudley Duncan Honorary Lecture. Presented at Annu. Winter/Spring Conf. Am. Sociol. Assoc. Methodol. Sect., Ann Arbor, MI
  43. Goodman LA. 2005. Some simple latent structure models, based on Rasch-type latent-trait models and on latent-class models, for the analysis of cross-classified categorical data. Keynote Lecture. Presented at Conf. Latent Variable Models Soc. Sci., Stat. Appl. Math. Sci. Inst., Research Triangle Park, NC
  44. Goodman LA. 2007. On the assignment of individuals to latent classes. Sociol. Methodol. In press
  45. Goodman LA, Clogg CC. 1992. New methods for the analysis of occupational mobility and other kinds of cross-classifications. Contemp. Sociol. 21:609–22 [Google Scholar]
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