Mathematical Biology Seminar

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2009/12/24

16:00-17:30   Room #123 (Graduate School of Math. Sci. Bldg.)
堀内 四郎 (The City University of New York, Hunter College)
Decomposition分析:趨勢データ分析の新しい枠組とアプローチ
[ Abstract ]
A demographic measure is often expressed as a deterministic or stochastic function of multiple variables (covariates), and a general problem (the decomposition problem) is to assess contributions of individual covariates to a difference in the demographic measure (dependent variable) between two populations.

We propose a method of decomposition analysis based on an assumption that covariates change continuously along an actual or hypothetical dimension. This assumption leads to a general model that logically justifi es the additivity of covariate effects and the elimination of interaction terms, even if the dependent variable itself is a nonadditive function.

A comparison with earlier methods illustrates other practical advantages of the method: in addition to an absence of residuals or interaction terms, the method can easily handle a large number of covariates and does not require a logically meaningful ordering of covariates. Two empirical examples show that the method can be applied fl exibly to a wide variety of decomposition problems.
[ Reference URL ]
http://shiro_horiuchi.homestead.com/homepage.html