A Bayesian generalized age-period-cohort power model for cancer projections

Stat Med. 2014 Nov 20;33(26):4627-36. doi: 10.1002/sim.6248. Epub 2014 Jul 3.

Abstract

Age-period-cohort (APC) models are the state of art in cancer projections, assessing past and recent trends and extrapolating mortality or incidence data into the future. Nordpred is a well-established software, assuming a Poisson distribution for the counts and a log-link or power-link function with fixed power; however, its predictive performance is poor for sparse data. Bayesian models with log-link function have been applied, but they can lead to extreme estimates. In this paper, we address criticisms of the aforementioned models by providing Bayesian formulations based on a power-link and develop a generalized APC power-link model, which assumes a random rather than fixed power parameter. In addition, a power model with a fixed power parameter of five was formulated in the Bayesian framework. The predictive performance of the new models was evaluated on Swiss lung cancer mortality data using model-based estimates of observed periods. Results indicated that the generalized APC power-link model provides best estimates for male and female lung cancer mortality. The gender-specific models were further applied to project lung cancer mortality in Switzerland during the periods 2009-2013 and 2014-2018.

Keywords: Bayesian inference; Nordpred; cancer projection; lung cancer mortality; power model.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Adult
  • Aged
  • Aged, 80 and over
  • Bayes Theorem*
  • Cohort Studies*
  • Computer Simulation
  • Female
  • Humans
  • Lung Neoplasms / mortality
  • Male
  • Markov Chains
  • Middle Aged
  • Models, Statistical*
  • Predictive Value of Tests
  • Switzerland