By Robert O'Brien
Age-Period-Cohort types: methods and Analyses with mixture information provides an creation to the issues and methods for modeling age, interval, and cohort (APC) results for aggregate-level information. those recommendations comprise limited estimation, using age and/or interval and/or cohort features, estimable features, variance decomposition, and a brand new approach known as the s-constraint approach.
summary: Age-Period-Cohort versions: techniques and Analyses with combination information provides an advent to the issues and methods for modeling age, interval, and cohort (APC) results for aggregate-level info. those techniques comprise restricted estimation, using age and/or interval and/or cohort features, estimable features, variance decomposition, and a brand new process known as the s-constraint strategy
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Additional resources for Age-Period-Cohort Models: Approaches and Analyses with Aggregate Data
This vector will always produce a vector of zeros: Xv = 0 for any X. The trivial null vector would not change the original solution (b 0c1 ). If X were rank deficient by two, there would be two nontrivial null vectors and the null space would be of two dimensions. Multiple Classification Models and Constrained Regression 29 0 This line is established by finding one point on the line (for example, bc1 ) and the direction of the line. A solution to the normal equations is a point on the line in multidimensional solution space and v (the null vector) is a direction of the line in multidimensional space.
For these data we can calculate the number of years of exposure as the number of deaths in each age–period-specific category times 100,000 divided by the rate per 100,000. 44]. This number represents the person–years of risk in a cell and is used as the “exposure” in the Poisson regression. Poisson regression analysis will be used throughout this chapter and the book as an illustration of generalized linear models and their properties in terms of constrained regression, estimable functions, variance decomposition, and so forth.
Magnello. 2004. Statistical methods in epidemiology: Karl Pearson, Ronald Ross, Major Greenwood, and Austin Bradford Hill, 1900–1945. In A History of Epidemiological Methods and Concepts, ed. A. Morabia, 205–21. Basel, Switzerland: Birkhäuser Verlag. , and M. Gottfredson. 1983. Age and the explanation of crime. American Journal of Sociology 89:552–84. V. K. N. ). 2007. Robbins Basic Pathology (8th edition). Philadelphia: Saunders Elsevier. R Carter. 1992. S. mortality. Journal of the American Statistical Association 87:659–71.
Age-Period-Cohort Models: Approaches and Analyses with Aggregate Data by Robert O'Brien