Model-building with multiply imputed data

Model selection is well-known for introducing additional uncertainty which can be more severe in the presence of missing data. Model averaging is an alternative to model selection which is intended to overcome the under-estimation of standard errors that is a consequence of model selection....

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Main Authors: Pillay, Khuneswari Gopal, H. McColl, John
Format: Book Section
Language:English
Published: Penerbit UTHM 2018
Subjects:
Online Access:http://eprints.uthm.edu.my/6943/
http://eprints.uthm.edu.my/6943/1/C1549_0b9151676729c6eba06fc2274989e56c.pdf
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author Pillay, Khuneswari Gopal
H. McColl, John
author_facet Pillay, Khuneswari Gopal
H. McColl, John
author_sort Pillay, Khuneswari Gopal
building UTHM Institutional Repository
collection Online Access
description Model selection is well-known for introducing additional uncertainty which can be more severe in the presence of missing data. Model averaging is an alternative to model selection which is intended to overcome the under-estimation of standard errors that is a consequence of model selection. Model selection and model averaging were explored on multiply-imputed data sets in terms of model selection and prediction. Three different model selection approaches (RR, STACK and M-STACK) and model averaging using three model-building strategies (non-overlapping variable sets, inclusive and restrictive strategies) to combine results from multiply-imputed data sets were explored using a basic Monte Carlo simulation study on linear and generalized linear models. The results showed that the STACK method performs better than RR and M-STACK in terms of model selection and prediction, whereas model averaging performs slightly better than STACK in terms of prediction. The inclusive and restrictive strategies perform better in terms of prediction but non-overlapping variable sets performs better for model selection. In conclusion, researchers should use STACK (with non-overlapping variable sets) for analysing data with missing values to determine which variables to include when making predictions but use model averaging (with a restrictive strategy) for prediction.
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format Book Section
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institution Universiti Tun Hussein Onn Malaysia
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spelling uthm-69432022-04-17T07:10:58Z http://eprints.uthm.edu.my/6943/ Model-building with multiply imputed data Pillay, Khuneswari Gopal H. McColl, John Q350-390 Information theory Model selection is well-known for introducing additional uncertainty which can be more severe in the presence of missing data. Model averaging is an alternative to model selection which is intended to overcome the under-estimation of standard errors that is a consequence of model selection. Model selection and model averaging were explored on multiply-imputed data sets in terms of model selection and prediction. Three different model selection approaches (RR, STACK and M-STACK) and model averaging using three model-building strategies (non-overlapping variable sets, inclusive and restrictive strategies) to combine results from multiply-imputed data sets were explored using a basic Monte Carlo simulation study on linear and generalized linear models. The results showed that the STACK method performs better than RR and M-STACK in terms of model selection and prediction, whereas model averaging performs slightly better than STACK in terms of prediction. The inclusive and restrictive strategies perform better in terms of prediction but non-overlapping variable sets performs better for model selection. In conclusion, researchers should use STACK (with non-overlapping variable sets) for analysing data with missing values to determine which variables to include when making predictions but use model averaging (with a restrictive strategy) for prediction. Penerbit UTHM 2018 Book Section PeerReviewed text en http://eprints.uthm.edu.my/6943/1/C1549_0b9151676729c6eba06fc2274989e56c.pdf Pillay, Khuneswari Gopal and H. McColl, John (2018) Model-building with multiply imputed data. In: A Letter on Applications of Mathematics and Statistics. Penerbit UTHM, pp. 29-51. ISBN 978-967-2216-06-3
spellingShingle Q350-390 Information theory
Pillay, Khuneswari Gopal
H. McColl, John
Model-building with multiply imputed data
title Model-building with multiply imputed data
title_full Model-building with multiply imputed data
title_fullStr Model-building with multiply imputed data
title_full_unstemmed Model-building with multiply imputed data
title_short Model-building with multiply imputed data
title_sort model-building with multiply imputed data
topic Q350-390 Information theory
url http://eprints.uthm.edu.my/6943/
http://eprints.uthm.edu.my/6943/1/C1549_0b9151676729c6eba06fc2274989e56c.pdf