JSM 2011 Online Program

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Abstract Details

Activity Number: 249
Type: Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #303433
Title: Using AIC on Transformed Data
Author(s): Mark C. Otto*+
Companies: Fish and Wildlife Service
Address: 2302 Lackawanna St, Adelphi,, 20783,
Keywords: model fit ; model selection
Abstract:

Akaike's Information Criterion (AIC) uses information theory to compare statistical models for the same data. AIC can be used to compare model s with that have different distributions or with regression variables that are not nested. AIC can also be used to compare models with different transformations. David Findley applied a transformation of variables to derive an AIC on the original scale for models on transformed data. The AICs differ only in their Jacobian of transformation. This calculation has been used on time series models in the Census Bureau's RegARIMA, time series and regression modeling program and is presented in G. Kitagawa's Introduction to Time Series Modeling but is not otherwise widely used. AIC for transformations can be used on regression and generalized linear models. We show its effectiveness on simulated and real data.


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