Modeling Repeatable Events Using Discrete-Time Data: Predicting Marital Dissolution.

I join two methodologies by illustrating the application of multilevel modeling principles to hazard-rate models with an emphasis on procedures for discrete-time data that contain repeatable events. I demonstrate this application using data taken from the 1995 National Survey of Family Growth (NSFG) to ascertain the relationship between multiple covariates and risk of subsequent marital dissolution. I consider both fixed- and random-effects versions of the multilevel model, as well as a Generalized Estimating Equation alternative to estimating random effects. I compare results obtained from the various estimators, noting why differences occur, and recommend when to choose the various alternatives. I also provide a set of SAS and STATA programs that can be used to analyze the NSFG data.

[1]  M. Carlson,et al.  Intergenerational Relationships and Union Stability in Fragile Families. , 2010, Journal of marriage and the family.

[2]  S. Zeger,et al.  Longitudinal data analysis using generalized linear models , 1986 .

[3]  J. Teachman,et al.  Multilevel Models in Family Research: Some Conceptual and Methodological Issues. , 2002 .

[4]  Mark D. Hayward,et al.  Interpreting Hazard Rate Models , 1993 .

[5]  A. Thornton,et al.  The relationship between cohabitation and divorce: Selectivity or causal influence? , 1992, Demography.

[6]  Susan A. Murphy,et al.  6. Discrete-Time Multilevel Hazard Analysis , 2000 .

[7]  Pamela J. Smock,et al.  Cohabitation in the United States: An Appraisal of Research Themes, Findings, and Implications , 2000 .

[8]  Galena K. Rhoades,et al.  The Timing of Cohabitation and Engagement: Impact on First and Second Marriages. , 2010, Journal of marriage and the family.

[9]  Paul D. Allison,et al.  Fixed-Effects Methods for the Analysis of Nonrepeated Events , 2006 .

[10]  Paul D. Allison,et al.  Using Panel Data to Estimate the Effects of Events , 1994 .

[11]  Kimberlee A. Shauman,et al.  Gender Asymmetry in Family Migration: Occupational Inequality or Interspousal Comparative Advantage? , 2010 .

[12]  G. Bobashev,et al.  Decomposing the total variation in a nested random effects model of neighborhood, household, and individual components when the dependent variable is dichotomous: implications for adolescent marijuana use. , 2005, Drug and alcohol dependence.

[13]  Jason T. Newsom,et al.  A Multilevel Structural Equation Model for Dyadic Data , 2002 .

[14]  J. Twisk,et al.  Longitudinal Data Analysis. A Comparison Between Generalized Estimating Equations and Random Coefficient Analysis , 2003, European Journal of Epidemiology.

[15]  D. D. Vaus,et al.  Change in the Association between Premarital Cohabitation and Separation, Australia 1945-2000 , 2009 .

[16]  S. Stern,et al.  Cohabitation, Marriage, and Divorce in a Model of Match Quality , 2006 .

[17]  J. Teachman Stability across cohorts in divorce risk factors , 2002, Demography.

[18]  Steffen Reinhold,et al.  Reassessing the link between premarital cohabitation and marital instability , 2009, Demography.

[19]  P. Amato,et al.  Marital Happiness, Marital Duration, and the U-Shaped Curve: Evidence from a Five-Wave Panel Study , 2001 .

[20]  David R. Cox,et al.  Regression models and life tables (with discussion , 1972 .

[21]  A. Kalil,et al.  Nonstandard Work and Marital Instability: Evidence From the National Longitudinal Survey of Youth , 2010 .

[22]  L. Bumpass Social Change and the American Family , 2004, Annals of the New York Academy of Sciences.

[23]  S. Yabiku,et al.  Sexual Frequency and the Stability of Marital and Cohabiting Unions , 2009 .

[24]  L. Bumpass,et al.  The Impact of Family Background and Early Marital Factors on Marital Disruption , 1991, Journal of family issues.

[25]  A. DeMaris,et al.  Premarital Cohabitation and Marital Instability: A Test of the Unconventionality Hypothesis. , 1993 .

[26]  Paul D. Allison,et al.  Fixed-Effects Partial Likelihood for Repeated Events , 1996 .

[27]  J. Teachman Premarital Sex, Premarital Cohabitation, and the Risk of Subsequent Marital Dissolution Among Women , 2003 .