1987
DOI: 10.1002/sim.4780060405
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Models for temporal variation in cancer rates. I: Age–period and age–cohort models

Abstract: A main concern of descriptive epidemiologists is the presentation and interpretation of temporal variations in cancer rates. In its simplest form, this problem is that of the analysis of a set of rates arranged in a two-way table by age group and calendar period. We review the modern approach to the analysis of such data which justifies traditional methods of age standardization in terms of the multiplicative risk model. We discuss the use of this model when the temporal variations are due to purely secular (p… Show more

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Cited by 602 publications
(450 citation statements)
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“…Application of the full model for the presentation of age, period and cohort effects requires a further assumption in order to obtain unique parameter estimates (Clayton & Schifflers, 1987). As cohort effects were more important, i.e.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Application of the full model for the presentation of age, period and cohort effects requires a further assumption in order to obtain unique parameter estimates (Clayton & Schifflers, 1987). As cohort effects were more important, i.e.…”
Section: Resultsmentioning
confidence: 99%
“…As cohort effects were more important, i.e. the age plus cohort model produced a better fit than the age plus period model (Table IV), we imposed the restriction that the linear period effect was assumed to be zero (Clayton & Schifflers, 1987). Cohort effects were computed according to this approach.…”
Section: Resultsmentioning
confidence: 99%
“…The deviance statistics and Z-test were used to determine the goodness of fit of the models and significance of the effects, respectively. 11 The deviance statistic measures the closeness of the model predictions to the observed rates; hence, a nonsignificant value indicates a good fit. The Akaike information criterion (AIC) was also calculated as it enables the comparison of models with different complexity, with smaller values indicating better fit.…”
Section: Discussionmentioning
confidence: 99%
“…In APC modeling, there is also a criticism when comparing agecohort and age-period models that the age-cohort model will provide a better fit simply because it offers additional complexity due to the larger number of terms. 11 The AIC provides a method for comparing models that adjusts for this unequal complexity. In 3 of our 4 analyses presented here, the AIC was smaller for the age-cohort model, indicating a better fit, while in the fourth (Sweden, age 45 and older), the AIC for the age-cohort model was only marginally higher than for the age-period model, with the p-values for the fits being similar.…”
Section: Discussionmentioning
confidence: 99%
“…To determine whether a cohort or period effect (or both) is predominant in the evolution of incidence or mortality, we used the method described by Clayton and Schifflers. 19,20 Briefly, the principle of this method is to perform successively age, age-period, age-cohort and age-period-cohort models using Poisson regression (maximum likelihood method), and to choose the model with regard to its deviance and to the contribution of the different variables (log likelihood ratio test). If R ijk is the rate (incidence or mortality) for the ith of age interval in the jth of calendar year periods, where k indexes the corresponding birth-cohort, the usual age-period-cohort model is…”
Section: Methodsmentioning
confidence: 99%