Correlations and Nonlinear Probability Models

Sociological Methods and Research

Volumn 43, Issue 4, 2014, Pages 571-605

  Breen, Richard ^a   Holm, Anders ^b,c   Karlson, Kristian Bernt ^b  

^a YALE UNIVERSITY   (United States)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

^c VIVE THE DANISH CENTER FOR SOCIAL SCIENCE RESEARCH   (Denmark)

Author keywords

correlation; group comparisons; logit; nonlinear probability models; probit

Indexed keywords

EID: 84908667737     PISSN: 00491241     EISSN: 15528294     Source Type: Journal    
DOI: 10.1177/0049124114544224     Document Type: Article

References (33)

1. Achen Christopher H.“Measuring Representation: Perils of the Correlation Coefficient.”.American Journal of Political Science. 1977;21:805-21
2. Agresti AlanCategorical Data Analysis. Hoboken, NJ: John Wiley; 2002:
3. Ai Chunrong,Norton Edward C.“Interaction Terms in Logit and Probit Models.”.Economics Letters. 2003;80:123-29
4. Allison Paul D.“Comparing Logit and Probit Coefficients across Groups.”.Sociological Methods & Research. 1999;28:186-208
5. Björklund Anders,Jäntti MarkusThe Oxford Handbook of Economic Inequality. Salverda WiemerNolan BrianSmeeding Timothy M., ed. Oxford, UK: Oxford University Press; 2009:491-521.
6. Blalock Hubert M.Causal Inference in Nonexperimental Research. Chapel Hill: University of North Carolina Press; 1964:
7. Blalock Hubert M.“Causal Inference, Closed Populations, and Measures of Association.”.American Political Science Review. 1967;61:130-36
8. Breen Richard,Jonsson Jan O.“Inequality of Opportunity in Comparative Perspective: Recent Research on Educational Attainment and Social Mobility.”.Annual Review of Sociology. 2005;31:223-43
9. Breen Richard,Karlson Kristian BerntHandbook of Causal Analysis for Social Research. Morgan Stephen L., ed. New York: Springer; 2013:167-88.
10. Breen Richard,Luijkx Ruud,Müller Walter,Pollak Reinhard.“Nonpersistent Inequality in Educational Attainment: Evidence from Eight European Countries.”.The American Journal of Sociology. 2009;114:1475-521
11. Breen Richard,Luijkx Ruud,Müller Walter,Pollak Reinhard.“Long-term Trends in Educational Inequality in Europe: Class Inequalities and Gender Differences.”.European Sociological Review. 2010;26:31-48
12. Cox N. R.“Estimation of the Correlation between a Continuous and a Discrete Variable.”.Biometrics. 1974;30:171-78
13. Erikson Robert,Goldthorpe John H.The Constant Flux. A Study of Class Mobility in Industrial Societies. Oxford, UK: Clarendon Press; 1992:
14. Greene William.“Testing Hypothesis about Interaction Terms in Nonlinear Models.”.Economics Letters. 2010;107:291-96
15. Hargens Lowell L.“A Note On Standardized Coefficients as Structural Parameters.”.Sociological Methods & Research. 1976;5:247-56
16. Hout Michael,Raftery Adrian E.,Bell Eleanor O.Persistent Inequality: Changing Educational Attainment in Thirteen Countries. Shavit YossiBlossfeld Hans-Peter, ed. Boulder, CO: Westview Press; 1993:25-47.
17. Karlson Kristian Bernt,Holm Anders,Breen Richard.“Comparing Regression Coefficients between Same-sample Nested Models Using Logit and Probit: A New Method.”.Sociological Methodology. 2012;42:286-313
18. Kim Jae-On,Mueller Charles W.“Standardized and Unstandardized Coefficients in Causal Analysis: An Expository Note.”.Sociological Methods and Research. 1976;4:423-38
19. King Gary.“How Not to Lie with Statistics: Avoiding Common Mistakes in Quantitative Political Science.”.American Journal of Political Science. 1986;30:666-87
20. Linn Robert L.,Werts Charles E.“Assumptions in Making Causal Inferences from Part Correlations, Partial Correlations, and Partial Regression Coefficients.”.Psychological Bulletin. 1969;72:307-10
21. Long J. S2009:
22. Mare Robert D.“Change and Stability in Educational Stratification.”.American Sociological Review. 1981;46:72-87
23. McFadden DavidFrontiers in Econometrics. Zarembka P., ed. New York: Academic Press; 1974:105-42.
24. McKelvey Richard D.,Zavoina William.“A Statistical Model for the Analysis of Ordinal Level Dependent Variables.”.Journal of Mathematical Sociology. 1975;4:103-20
25. Mouw Ted,Sobel Michael E.“Culture Wars and Opinion Polarization: The Case of Abortion.”.American Journal of Sociology. 2001;106:913-943
26. Olsson Ulf,Drasgow Fritz,Dorans Neil J.“The Polyserial Correlation Coefficient.”.Psychometrika. 1982;47:337-47
27. Schoenberg RonaldSociological Methodology. Costner H. L., ed. Los Angeles, CA: Sage; 1972:1-35.
28. Shavit Yossi,Blossfeld Hans-PeterPersistent Inequality: Changing Educational Attainment in Thirteen Countries. Boulder, CO: Westview Press; 1993:
29. Smith Tom W.,Marsden Peter V.,Hout Michael,Kim JibumGeneral Social Surveys, 1972-2010. Cumulative Codebook. Chicago, IL: National Opinion Research Center; 2011:
30. Theil HenriStatistical Decomposition Analysis. Amsterdam, the Netherlands: North-Holland Pub; 1972:
31. Tukey J. WStatistics and Mathematics in Biology. Kempthorne Oscar, ed. Ames: Iowa State College Press; 1954:35-66.
32. Williams Richard.“Using Heterogeneous Choice Models to Compare Logit and Probit Coefficients across Groups.”.Sociological Methods & Research. 2009;37:531-59
33. Winship Christopher,D. Mare Robert.“Regression Models with Ordinal Variables.”.American Sociological Review. 1984;49:512-525