Age patterns of marital fertility: revising the Coale-Trussell method.

"This article revises the Coale-Trussell method for analyzing data from the World Fertility Survey by proposing and testing alternative log-linear and log-multiplicative models. The models, in one form or another, represent the structural constraint underlying the Coale-Trussell method on the variation in the age pattern of human fertility. With a Poisson distribution assumption for the number of births, several parameters of the models are simultaneously estimated via maximum likelihood. It is shown that the new approach can be adopted whenever fertility limitation is compared across multiple populations or subpopulations."

[1]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[2]  A. Coale,et al.  Age patterns of marriage. , 1971, Population studies.

[3]  Henry S. Shryock,et al.  The Methods and Materials of Demography. , 1973 .

[4]  Yu-wei Xie,et al.  THE LOG-MULTIPLICATIVE LAYER EFFECT MODEL FOR COMPARING MOBILITY TABLES* , 1992 .

[5]  T. Trussell,et al.  Model fertility schedules: variations in the age structure of childbearing in human populations. , 1974, Population index.

[6]  John A. Nelder,et al.  Generalized linear models. 2nd ed. , 1993 .

[7]  Leo A. Goodman,et al.  Some Useful Extensions of the Usual Correspondence Analysis Approach and the Usual Log-Linear Models Approach in the Analysis of Contingency Tables , 1986 .

[8]  J. Oeppen,et al.  What is natural fertility? The modelling of a concept. , 1988, Population index.

[9]  J. Casterline,et al.  Socio-economic differentials in recent fertility. , 1984 .

[10]  Y Xie,et al.  What is natural fertility? The remodeling of a concept. , 1990, Population index.

[11]  D. Anderton,et al.  Temporal Dimensions of the Fertility Transition: An Age-Period-Cohort Analysis of Frontier Fertility , 1990, Sociological perspectives : SP : official publication of the Pacific Sociological Association.

[12]  J. Knodel Natural fertility in pre-industrial Germany. , 1978, Population studies.

[13]  L. A. Goodman Simple Models for the Analysis of Association in Cross-Classifications Having Ordered Categories , 1979 .

[14]  A. Raftery Choosing Models for Cross-Classifications , 1986 .

[15]  P. McCullagh,et al.  Generalized Linear Models , 1992 .

[16]  Modelling marital fertility by age and duration: an empirical appraisal of the Page model. , 1988 .

[17]  Clifford C. Clogg,et al.  Some Common Problems in Log-Linear Analysis , 1987 .

[18]  Clifford C. Clogg,et al.  Using Association Models in Sociological Research: Some Examples , 1982, American Journal of Sociology.

[19]  Leo A. Goodman,et al.  Association Models and Canonical Correlation in the Analysis of Cross-Classifications Having Ordered Categories , 1981 .

[20]  J. Cleland,et al.  The World Fertility Survey: an assessment. , 1989 .

[21]  Yu Xie Model fertility schedules revisited: The log-multiplicative model approach , 1991 .

[22]  Stephen E. Fienberg,et al.  Discrete Multivariate Analysis: Theory and Practice , 1976 .

[23]  Henry S. Shryock,et al.  The Methods and Materials of Demography. , 1977 .

[24]  L. Henry Some data on natural fertility. , 1961, Social biology.

[25]  L. A. Goodman The Analysis of Cross-Classified Data: Independence, Quasi-Independence, and Interactions in Contingency Tables with or without Missing Entries , 1968 .

[26]  H. Page Patterns underlying fertility schedules: A decomposition by both age and marriage duration. , 1977, Population studies.

[27]  P. McCullagh,et al.  Generalized Linear Models , 1984 .

[28]  T. Trussell,et al.  A New Method of Estimating Standard Fertility Measures From Incomplete Data , 1975 .

[29]  T. Trussell,et al.  Technical note: finding the two parameters that specify a model schedule of marital fertility. , 1978, Population index.

[30]  A. Agresti Analysis of Ordinal Categorical Data , 1985 .

[31]  L. A. Goodman,et al.  The analysis of cross-classified data having ordered categories , 1985 .

[32]  A. Agresti,et al.  Categorical Data Analysis , 1991, International Encyclopedia of Statistical Science.

[33]  J. Knodel Family limitation and the fertility transition: Evidence from the age patterns of fertility in Europe and Asia. , 1977, Population studies.

[34]  R. A. Johnson Analysis of Age, Period, and Cohort Effects in Marital Fertility , 1985 .