Gompertz-Makeham Hazard Equation
h(t) = α · e^(β · t) + γ
S(t) = exp( - ∫₀ᵗ h(u) du ) = exp( -(α/β)(e^(β·t) - 1) - γt )
Gompertz hazard modeling shows exponential increase in age-specific mortality. Parameter α sets initial mortality rate, while β represents exponential senescence acceleration.
Age-Cohort-Period (APC) Decomposition
The question "What are you starting to like more as you get older?" involves three distinct statistical components:
- Age Effect: Biological & experiential preference shift over time.
- Cohort Effect: Generational baseline preferences established at birth.
- Period Effect: Global cultural/technological trends affecting all ages simultaneously.