A markov regression model for the analysis of the postpartum lactational amenorrhea

Communications in Statistics - Theory and Methods

Volumn 29, Issue 3, 2000, Pages 801-828

  Le Strat, Y ^a   Thomas, G ^b   Thalabard, J C ^a  

^a HÔPITAL NECKER ENFANTS MALADES   (France)

^b INSERM   (France)

Author keywords

Breastfeeding; GLMs; Markov model; Survival analysis

Indexed keywords

EID: 0002756839     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610910008813641     Document Type: Article

References (36)

1. Aalen, O.O. (1989). "A linear regression model for the analysis of life times," Statistics in Medicine, 8, 907-925.
2. Andersen, P.K. (1988). "Multistate models in survival analysis: a study of nephropathy and mortality in diabetes," Statistics in Medicine, 7, 661-670.
3. Anonymous (1998a) WHO task force on methods for the natural regulation of fertility. "The World Health Organization multinational study of breastfeeding and lactational amenorrhea: I. Description of infant feeding patterns and of the return of menses," Fertility and Sterility, 70, 448-460.
4. Anonymous (1998b) WHO task force on methods for the natural regulation of fertility. "The World Health Organization multinational study of breastfeeding and amenorrhea: II. Factors associated with the length of amenorrhea," Fertility and Sterility, 70, 461-471.
5. Bellagio consensus statement. (1988). "Breastfeeding as a family planning method," Lancet, 2, 1204-1205.
6. Cook, R.J. and Ng, E.T.M. (1997). "A logistic-bivariate normal model for overdispersed two-state Markov processes," Biometrics, 53, 358-364.
7. Cox, D.R. (1972). "Regression models and lifetables (with discussion)," Journal of the Royal Statistical Society Series B, 34, 187-220.
8. Day, R. and Bryant, J. (1997). "Adaptation of bivariate frailty models for prediction, with application to biological markers as prognostic indicators," Biometrika, 84, 45-56.
9. Dennis, J.E. and Schnabel, R.B. (1983). Numerical Methods for Unconstrained Optimization and Nonlinear Equations. NJ: Prentice-Hall, Englewood Cliffs.
10. Díaz, S., Rodríguez, G., Marshall, G., Pino, G., Casado, M.E., Miranda, P., Schiappacasse, V., and Croxatto, H.B. (1988). "Breastfeeding pattern and the duration of lactational amenorrhea in urban Chilean women," Contraception, 38, 53-67.
11. Díaz, S., Aravena, R., Cárdenas, H., Casado, M.E., Miranda, V., and Croxatto, H.B. (1991). "Contraceptive efficacy of lactational amenorrhea in urban Chilean women," Contraception, 43, 335-352.
12. Diggle, P.J., Liang, K.-Y., and Zeger, S.L. (1994). Analysis of longitudinal data. Oxford Statistical Science Series, Oxford.
13. Dunson, D.B. and Hasemen, J.K. (1999). "Modeling tumor onset and multiplicity using transition models with latent variables," Biometrics, 55, 965-970.
14. Hougaard, P. (1999a). "Fundamentals of survival data," Biometrics, 55, 13-22.
15. Hougaard, P. (1999b). "Multi-state models: a review," Lifetime Data Analysis, 5, 239-264.
16. Kazi, A., Kennedy, K., Visness, C.M., and Khan, T. (1995). "Effectiveness of the lactational amenorrhea method in Pakistan," Fertility and Sterility, 64, 717-723.
17. Kaufmann, H. (1987). "Regression models for nonstationary categorical time series: asymptotic estimation theory," Annals of Statistics, 15, 79-98.
18. Kennedy, K., Rivera, R., and McNeilly, A.S. (1989). "Consensus statement on the use of breastfeeding as a family planning method," Contraception, 39, 477-495.
19. Lauritzen, S.L. (1996). Graphical models. Oxford University Press, Oxford.
20. Lewis, P.R., Brown, J.B., Renfree, M.B., and Short, R.V. (1991). "The resumption of ovulation and menstruation in a well-nourished population of women breastfeeding for an extended period of time," Fertility and Sterility, 55, 529-536.
21. Lunn, P.G. (1996) "Breast-feeding practices and other metabolic loads affecting human reproduction". In Rosetta, L. and Mascie-Taylor, C.G.N., editors, Variability in human fertility, chapter 11, 195-216. Cambridge University Press, Cambridge.
22. Mazumdar, S., Liu, K., Ahnn, S., Houck, P.R., and Reynolds, C.F. (1999). "Transition (Markov) models for the analysis of survival times in clinical research," Communications in Statistics Simulation and Computation, 28, 165-176.
23. McCullagh, P. and Nelder, J.A. (1989). Generalized Linear Models, 2nd edition. Chapman and Hall, London.
24. McNeilly, A.S., Glasier, A.F., Howie, P.W., Houston, M.J., Cook, A., and Boyle, H. (1983). "Fertility after childbirth: pregnancy associated with breast feeding," Clinical Endocrinology, 19, 167-173.
25. McNeilly, A.S. (1993). "Lactational amenorrhoea," Endocrinology and metabolism clinics of North America, 22, 59-73.
26. Ménard, F., Dallot, S., and Thomas, G. (1993). "A stochastic model for ordered categorical time series. Application to planktonic abundance data," Ecological Modelling, 66, 101-112.
27. Muenz, L.R. and Rubinstein, L.Y. (1985). "Markov models for covariate dependence of binary sequences," Biometrics, 41, 91-101.
28. Nelder, J.A. and Mead, R. (1965). "A simplex method for function minimization," Computer Journal, 7, 308-313.
29. Pepe, M.S., Heagerty, P., and Whitaker, R. (1999). "Prediction using partly conditional time-varying coefficients regression models", Biometrics, 55, 944-950.
30. Péez, A., Labbok, M.H., and Queenan, J.T. (1992). "Clinical study of the lactational amenorrhoea method for family planning," Lancet, 339, 968-970.
31. Ramos, R., Kennedy, K.I., and Visness, C.M. (1996). "Effectiveness of lactational amenorrhoea in prevention of pregnancy in Manila, the Philippines: non-comparative prospective trail," British Medical Journal, 313, 909-912.
32. Sargent, D.J. (1997). "A flexible approach to time-varying coefficients in the Cox regression setting," Lifetime Data Analysis, 3, 13-25.
33. Schwartz, G. (1978). "Estimating the dimension of a model," Annals of Statistics, 6, 461-464.
34. Short, R.V., Lewis, P.R., Renfree, M.B., and Shaw, G. (1991). "Contraceptive effects of extended lactational amenorrhoea: beyond the Bellagio Consensus," Lancet, 337, 715-717.
35. Zeger, S.L. and Qaqish, B. (1988). "Markov regression models for time series: a quasi-likelihood approach," Biometrics, 44, 1019-1031.
36. Zhang, P. and Medoff-Cooper, B. (1996). "A Markov regression model for nutritive sucking data," Biometrics, 52, 112-124.