By Robert O'Brien
Age-Period-Cohort types: ways and Analyses with mixture facts offers an creation to the issues and methods for modeling age, interval, and cohort (APC) results for aggregate-level info. those recommendations comprise restricted estimation, using age and/or interval and/or cohort features, estimable features, variance decomposition, and a brand new process referred to as the s-constraint approach.
summary: Age-Period-Cohort versions: ways and Analyses with combination info provides an advent to the issues and methods for modeling age, interval, and cohort (APC) results for aggregate-level info. those recommendations contain restricted estimation, using age and/or interval and/or cohort features, estimable services, variance decomposition, and a brand new method referred to as the s-constraint technique
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Extra info for Age-Period-Cohort Models: Approaches and Analyses with Aggregate Data
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This problem for APC models had its first modern presentation in Mason et al. (1973). Not only did they clearly describe the problem, but they noted that a single constraint would just identify the model. Two other works by Mason and Fienberg (Fienberg and Mason 1979; Mason and Fienberg 1985) helped establish their general approach. * The easiest situation to conceptualize is one that involves a linear coding of these factors: for example, coding period as the year of the occurrence, cohort by year of birth, and age in years of age.
These topics are now covered in depth in the context of the most frequently used form of APC models: those that use categorical coding. 3 Categorically Coded APC Model Categorical coding of the APC model allows the relationship between the dependent variable and the age groups, periods, and cohorts to take on a wide variety of functional forms; for example, it does not constrain the relationship between age and the dependent variable to be linear or quadratic. Categorical coding allows each category of age, period, and cohort to have its own effect that may be higher or lower than other age groups, periods, or cohorts.
Age-Period-Cohort Models: Approaches and Analyses with Aggregate Data by Robert O'Brien