Identifying and characterizing extrapolation in multivariate response data

Extrapolation is defined as making predictions beyond the range of the data used to estimate a statistical model. In ecological studies, it is not always obvious when and where extrapolation occurs because of the multivariate nature of the data. Previous work on identifying extrapolation has focused...

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Vydáno v:arXiv.org
Hlavní autoři: Bartley, Meridith L, Hanks, Ephraim M, Schliep, Erin M, Soranno, Patricia A, Wagner, Tyler
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 12.11.2019
Témata:
Ecological monitoring
Extrapolation
Identification methods
Lakes
List brokers
Multivariate analysis
Nutrients
Predictions
Regression analysis
Statistical analysis
Statistical models
ISSN:2331-8422
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Abstract Extrapolation is defined as making predictions beyond the range of the data used to estimate a statistical model. In ecological studies, it is not always obvious when and where extrapolation occurs because of the multivariate nature of the data. Previous work on identifying extrapolation has focused on univariate response data, but these methods are not directly applicable to multivariate response data, which are more and more common in ecological investigations. In this paper, we extend previous work that identified extrapolation by applying the predictive variance from the univariate setting to the multivariate case. We illustrate our approach through an analysis of jointly modeled lake nutrients and indicators of algal biomass and water clarity in over 7000 inland lakes from across the Northeast and Mid-west US. In addition, we illustrate novel exploratory approaches for identifying regions of covariate space where extrapolation is more likely to occur using classification and regression trees.
AbstractList Extrapolation is defined as making predictions beyond the range of the data used to estimate a statistical model. In ecological studies, it is not always obvious when and where extrapolation occurs because of the multivariate nature of the data. Previous work on identifying extrapolation has focused on univariate response data, but these methods are not directly applicable to multivariate response data, which are more and more common in ecological investigations. In this paper, we extend previous work that identified extrapolation by applying the predictive variance from the univariate setting to the multivariate case. We illustrate our approach through an analysis of jointly modeled lake nutrients and indicators of algal biomass and water clarity in over 7000 inland lakes from across the Northeast and Mid-west US. In addition, we illustrate novel exploratory approaches for identifying regions of covariate space where extrapolation is more likely to occur using classification and regression trees.
Author Bartley, Meridith L
Soranno, Patricia A
Wagner, Tyler
Hanks, Ephraim M
Schliep, Erin M
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Snippet Extrapolation is defined as making predictions beyond the range of the data used to estimate a statistical model. In ecological studies, it is not always...
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SubjectTerms Ecological monitoring
Extrapolation
Identification methods
Lakes
List brokers
Multivariate analysis
Nutrients
Predictions
Regression analysis
Statistical analysis
Statistical models
Title Identifying and characterizing extrapolation in multivariate response data
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