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Published in: BMC Medical Research Methodology 1/2019

Open Access 01-12-2019 | Research article

Modeling perinatal mortality in twins via generalized additive mixed models: a comparison of estimation approaches

Authors: Muhammad Abu Shadeque Mullah, James A. Hanley, Andrea Benedetti

Published in: BMC Medical Research Methodology | Issue 1/2019

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Abstract

Background

The analysis of twin data presents a unique challenge. Second-born twins on average weigh less than first-born twins and have an elevated risk of perinatal mortality. It is not clear whether the risk difference depends on birth order or their relative birth weight. This study evaluates the association between birth order and perinatal mortality by birth order-specific weight difference in twin pregnancies.

Methods

We adopt generalized additive mixed models (GAMMs) which are a flexible version of generalized linear mixed models (GLMMs), to model the association. Estimation of such models for correlated binary data is challenging. We compare both Bayesian and likelihood-based approaches for estimating GAMMs via simulation. We apply the methods to the US matched multiple birth data to evaluate the association between twins’ birth order and perinatal mortality.

Results

Perinatal mortality depends on both birth order and relative birthweight. Simulation results suggest that the Bayesian method with half-Cauchy priors for variance components performs well in estimating all components of the GAMM. The Bayesian results were sensitive to prior specifications.

Conclusion

We adopted a flexible statistical model, GAMM, to precisely estimate the perinatal mortality risk differences between first- and second-born twins whereby birthweight and gestational age are nonparametrically modelled to explicitly adjust for their effects. The risk of perinatal mortality in twins was found to depend on both birth order and relative birthweight. We demonstrated that the Bayesian method estimated the GAMM model components more reliably than the frequentist approaches.
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Literature
1.
go back to reference Parker JD, Schoendorf KC, Kiely JL. A comparison of recent trends in infant mortality among twins and singletons. Paediatr Perinat Epidemiol. 2001;15:1–8.CrossRef Parker JD, Schoendorf KC, Kiely JL. A comparison of recent trends in infant mortality among twins and singletons. Paediatr Perinat Epidemiol. 2001;15:1–8.CrossRef
2.
go back to reference Smith GCS, Pell JP, Dobbie R. Birth order, gestational age, and risk of delivery related perinatal death in twins: retrospective cohort study. BMJ. 2002;325:1004–9.CrossRef Smith GCS, Pell JP, Dobbie R. Birth order, gestational age, and risk of delivery related perinatal death in twins: retrospective cohort study. BMJ. 2002;325:1004–9.CrossRef
3.
go back to reference Armson BA, O’Connell C, Persad V, Joseph KS, Young DC, Baskett TF. Determinants of Perinatal mortality and serious noenatal morbidity in the second twin. Obstet Gynecol. 2006;108(3):556–64.CrossRef Armson BA, O’Connell C, Persad V, Joseph KS, Young DC, Baskett TF. Determinants of Perinatal mortality and serious noenatal morbidity in the second twin. Obstet Gynecol. 2006;108(3):556–64.CrossRef
4.
go back to reference Smith GCS, Fleming KM, White IR. Birth order of twins and risk of perinatal death related to delivery in England, Northern Ireland, and Wales, 1994-2003: retrospective cohort study. BMJ. 2007;334:576–80.CrossRef Smith GCS, Fleming KM, White IR. Birth order of twins and risk of perinatal death related to delivery in England, Northern Ireland, and Wales, 1994-2003: retrospective cohort study. BMJ. 2007;334:576–80.CrossRef
5.
go back to reference Luo ZC, Ouyang F, Zhang J, Klebanoff M. Perinatal mortality in second-vs firstborn twins: a matter of birth size or birth order? Am J Obstet Gynecol. 2014;211(153):e1–8. Luo ZC, Ouyang F, Zhang J, Klebanoff M. Perinatal mortality in second-vs firstborn twins: a matter of birth size or birth order? Am J Obstet Gynecol. 2014;211(153):e1–8.
6.
go back to reference Sheay W, Ananth CV, Kinzler WL. Perinatal mortality in first- and second-born twins in the United States. Obstet Gynecol. 2004;103:63–70.CrossRef Sheay W, Ananth CV, Kinzler WL. Perinatal mortality in first- and second-born twins in the United States. Obstet Gynecol. 2004;103:63–70.CrossRef
7.
go back to reference Benedetti A, Abrahamowicz M. Using generalized additive models to reduce residual confounding. Stat Med. 2004;23:3781–801.CrossRef Benedetti A, Abrahamowicz M. Using generalized additive models to reduce residual confounding. Stat Med. 2004;23:3781–801.CrossRef
8.
go back to reference Lin X, Zhang D. Inference in generalized additive mixed models by using smoothing splines. J R Stat Soc B. 1999;61(2):381–400.CrossRef Lin X, Zhang D. Inference in generalized additive mixed models by using smoothing splines. J R Stat Soc B. 1999;61(2):381–400.CrossRef
9.
go back to reference Wang Y. Mixed effects smoothing spline analysis of variance. J R Stat Soc B. 1998;60:159–74.CrossRef Wang Y. Mixed effects smoothing spline analysis of variance. J R Stat Soc B. 1998;60:159–74.CrossRef
10.
11.
go back to reference Ruppert D, Wand MP, Carroll RJ. Semiparametric Regression. Cambridge: Cambridge University Press; 2003.CrossRef Ruppert D, Wand MP, Carroll RJ. Semiparametric Regression. Cambridge: Cambridge University Press; 2003.CrossRef
12.
go back to reference Breslow NE, Clayton DG. Approximate Inference in Generalized Linear Mixed Models. J Am Stat Assoc. 1993;88:9–25. Breslow NE, Clayton DG. Approximate Inference in Generalized Linear Mixed Models. J Am Stat Assoc. 1993;88:9–25.
14.
go back to reference Molenberghs G, Verbeke G. Models for Discrete Longitudinal Data. New York: Springer-Verlag; 2005. Molenberghs G, Verbeke G. Models for Discrete Longitudinal Data. New York: Springer-Verlag; 2005.
15.
go back to reference Gilks WR, Richardson S, Spiegelhalter DJ, editors. Markov Chain Monte Carlo in Practice. London: Chapman and Hall; 1996. Gilks WR, Richardson S, Spiegelhalter DJ, editors. Markov Chain Monte Carlo in Practice. London: Chapman and Hall; 1996.
16.
go back to reference Gelman A. Prior distribution for variance parameters in hierarchical models. Bayesian Anal. 2006;1(3):515–33.CrossRef Gelman A. Prior distribution for variance parameters in hierarchical models. Bayesian Anal. 2006;1(3):515–33.CrossRef
18.
19.
go back to reference Wood SN. Generalized Additive Models: An Introduction with R. New York: CRC Press; 2006.CrossRef Wood SN. Generalized Additive Models: An Introduction with R. New York: CRC Press; 2006.CrossRef
20.
go back to reference Ruppert D. Selecting the Number of Knots for Penalized Splines. J Comput Graph Stat. 2002;11(4):735–57.CrossRef Ruppert D. Selecting the Number of Knots for Penalized Splines. J Comput Graph Stat. 2002;11(4):735–57.CrossRef
21.
go back to reference Gelman A, Rubin DB. Inference from iterative simulation using multiple sequences (with discussion). Stat Sci. 1992;7:457–72.CrossRef Gelman A, Rubin DB. Inference from iterative simulation using multiple sequences (with discussion). Stat Sci. 1992;7:457–72.CrossRef
24.
go back to reference Plummer M. Jags version 1.0.3 manual. Technical Report; 2009. Plummer M. Jags version 1.0.3 manual. Technical Report; 2009.
25.
go back to reference Chen J, Liu L, Johnson BA, O'Quigley J. Penalized likelihood estimation for semiparametric mixed models, with application to alcohol treatment research. Stat Med. 2013;32:335–46.CrossRef Chen J, Liu L, Johnson BA, O'Quigley J. Penalized likelihood estimation for semiparametric mixed models, with application to alcohol treatment research. Stat Med. 2013;32:335–46.CrossRef
Metadata
Title
Modeling perinatal mortality in twins via generalized additive mixed models: a comparison of estimation approaches
Authors
Muhammad Abu Shadeque Mullah
James A. Hanley
Andrea Benedetti
Publication date
01-12-2019
Publisher
BioMed Central
Published in
BMC Medical Research Methodology / Issue 1/2019
Electronic ISSN: 1471-2288
DOI
https://doi.org/10.1186/s12874-019-0861-2

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