Table 2.
Differences in Measurement and Functional Form across Four Simulation Exercises
| Variable Grouping |
Functional Form |
||||
|---|---|---|---|---|---|
| DGP | HAPC-CCREM | DGP | HAPC-CCREM | ||
| Age Effects | continuous | continuous | quadratic | quadratic | |
| Simulation 1 | Period Effects | 27 1-year | 27 1-year | none | functional free |
| Cohort Effects | 13 7-year | 18 5-year | exact linear | functional free | |
| Age Effects | continuous | continuous | quadratic | quadratic | |
| Simulation 2 | Period Effects | 27 1-year | 27 1-year | none | functional free |
| Cohort Effects | 14 7-year | 19 5-year | near linear | functional free | |
| Age Effects | continuous | continuous | quadratic | quadratic | |
| Simulation 3 | Period Effects | 27 1-year | 27 1-year | none | functional free |
| Cohort Effects | 34 3-year | 19 5-year | near linear | functional free | |
| Age Effects | continuous | continuous | quadratic | quadratic | |
| Simulation 4 | Period Effects | 27 1-year | 27 1-year | monotonic increase | functional free |
| Cohort Effects | 13 7-year | 18 5-year | functional free | functional free | |
Note: Simulations 1 and 4 are strict interpretations of Reither et al. (2009), who collapsed 1877–1899 into a single cohort to ensure a sufficient number of participants in this group. Simulations 2 and 3 relax this slightly by introducing an additional cohort prior to 1900 to improve the consistency of cohort widths.