Abstract

The proportional hazards life table is a recently developed approach to the analysis of survival data when mortality risks vary among individuals. It assumes that at a given age (or duration since the start of a life) the force of mortality is a constant (specific to that age) multiplied by a proportionality factor which is determined by the characteristics of the individual and does not change unless these covariates do. In this paper, the method is reviewed for the case where the covariates are fixed at the start of the lifetime and illustrated by an application to marital dissolution in the United States.

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References

Bishop, Yvonne M. M., Fienberg, Stephen E., & Holland, Paul W. (
1975
).
Discrete Multivariate Analysis: Theory and Practice
.
Cambridge
:
MIT Press
.
Bumpass, L. L., & Sweet, J. A. (
1972
).
Differentials in Marital Instability: 1970
.
American Sociological Review
,
37
,
754
766
. 10.2307/2093585
Breslow, N. E. (
1972
).
Contribution to the Discussion on Professor Cox's Paper
.
Journal of the Royal Statistical Society, Series
,
B34
,
187
220
.
Breslow, N. E. (
1974
).
Covariance Analysis of Censored Survival Data
.
Biometrics
,
30
,
89
99
. 10.2307/2529620
Cox, D. R. (
1972
).
Regression Models and Life Tables (with Discussion)
.
Journal of the Royal Statistical Society, Series
,
B34
,
187
220
.
Glick, P. C., & Norton, A. J. (
1973
).
Perspectives on the Recent Upturn in Divorce and Remarriage
.
Demography
,
10
,
301
314
. 10.2307/2060841
Nonlinear Methods in Econometrics
. (
1972
).
New York
:
North-Holland
.
Holford, T. R. (
1976
).
Life Tables with Concomitant Information
.
Biometrics
,
32
,
587
597
. 10.2307/2529747
Holford, T. R. (
1980
).
The Analysis of Rates and of Survivorship using Log-Linear Models
.
Biometrics
,
36
,
299
305
. 10.2307/2529982
Kay, R. (
1977
).
Proportional Hazard Regression Models and the Analysis of Censored Survival Data
.
Applied Statistics
,
26
,
227
237
. 10.2307/2346962
Laird, Nan and Donald Olivier. 1979. Covariance Analysis of Censored Survival Data using Log-Linear Analysis Techniques. Research Report S-59. Harvard School of Public Health.
McCarthy, James. 1977. Patterns of Marriage Dissolution in the United States. Unpublished Ph.D. dissertation, Princeton University.
McCarthy, James (
1978
).
A Comparison of the Probability of Dissolution of First and Second Marriages
.
Demography
,
15
,
345
360
. 10.2307/2060655
McCarthy, James, & Jane, Menken (
1979
).
Marriage, Remarriage, Marital Disruption and Age at First Birth
.
Family Planning Perspectives
,
11
,
21
30
. 10.2307/2134478
McCarthy, James and Jane Menken. 1979. Submitted. Racial Differences in Marriage Dissolution in the United States.
Prentice, R. L., & Kalbfleisch, J. D. (
1979
).
Hazard Rate Models with Covariates
.
Biometrics
,
35
,
25
39
. 10.2307/2529934
Prentice, R. L., & Kalbfleisch, J. D. (
1980
).
The Statistical Analysis of Failure Time Data
.
New York
:
Wiley
.
Preston, S. H. (
1975
).
Estimating the Proportion of American Marriages that End in Divorce
.
Sociological Methods and Research
,
3
,
435
460
. 10.1177/004912417500300405
Preston, S. H., & McDonald, J. (
1979
).
The Incidence of Divorce within Cohorts of American Marriages Contracted since the Civil War
.
Demography
,
16
,
1
26
. 10.2307/2061075
Sweet, J. A., & Bumpass, L. L. (
1974
).
Differentials in Marital Instability of the Black Population: 1970
.
Phylon
,
35
,
323
331
. 10.2307/274558
Thornton, A. (
1978
).
Marital Dissolution, Remarriage, and Childbearing
.
Demography
,
15
,
361
380
. 10.2307/2060656
Tuma, N. B., Hannan, M. T., & Groeneveld, L. P. (
1979
).
Dynamic Analysis of Event Histories
.
American Journal of Sociology
,
84
,
820
854
. 10.1086/226863
Vaupel, J. W., Manton, K. G., & Stallard, E. (
1979
).
The Impact of Heterogeneity in Individual Frailty on the Dynamics of Mortality
.
Demography
,
16
,
439
454
. 10.2307/2061224