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Published in: BMC Medical Research Methodology 1/2016

Open Access 01-12-2016 | Research article

Regression models for linking patterns of growth to a later outcome: infant growth and childhood overweight

Authors: Andrew K. Wills, Bjørn Heine Strand, Kari Glavin, Richard J. Silverwood, Ragnhild Hovengen

Published in: BMC Medical Research Methodology | Issue 1/2016

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Abstract

Background

Regression models are widely used to link serial measures of anthropometric size or changes in size to a later outcome. Different parameterisations of these models enable one to target different questions about the effect of growth, however, their interpretation can be challenging. Our objective was to formulate and classify several sets of parameterisations by their underlying growth pattern contrast, and to discuss their utility using an expository example.

Methods

We describe and classify five sets of model parameterisations in accordance with their underlying growth pattern contrast (conditional growth; being bigger v being smaller; becoming bigger and staying bigger; growing faster v being bigger; becoming and staying bigger versus being bigger). The contrasts are estimated by including different sets of repeated measures of size and changes in size in a regression model. We illustrate these models in the setting of linking infant growth (measured on 6 occasions: birth, 6 weeks, 3, 6, 12 and 24 months) in weight-for-height-for-age z-scores to later childhood overweight at 8y using complete cases from the Norwegian Childhood Growth study (n = 900).

Results

In our expository example, conditional growth during all periods, becoming bigger in any interval and staying bigger through infancy, and being bigger from birth were all associated with higher odds of later overweight. The highest odds of later overweight occurred for individuals who experienced high conditional growth or became bigger in the 3 to 6 month period and stayed bigger, and those who were bigger from birth to 24 months. Comparisons between periods and between growth patterns require large sample sizes and need to consider how to scale associations to make comparisons fair; with respect to the latter, we show one approach.

Conclusion

Studies interested in detrimental growth patterns may gain extra insight from reporting several sets of growth pattern contrasts, and hence an approach that incorporates several sets of model parameterisations. Co-efficients from these models require careful interpretation, taking account of the other variables that are conditioned on.
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Literature
1.
go back to reference Ng M, Fleming T, Robinson M, Thomson B, Graetz N, Margono C, Mullany EC, Biryukov S, Abbafati C, Abera SF, Abraham JP, Abu-Rmeileh NM, Achoki T, AlBuhairan FS, Alemu ZA, Alfonso R, Ali MK, Ali R, Guzman NA, Ammar W, Anwari P, Banerjee A, Barquera S, Basu S, Bennett DA, Bhutta Z, Blore J, Cabral N, Nonato IC, Chang JC, Chowdhury R, Courville KJ, Criqui MH, Cundiff DK, Dabhadkar KC, Dandona L, Davis A, Dayama A, Dharmaratne SD, Ding EL, Durrani AM, Esteghamati A, Farzadfar F, Fay DF, Feigin VL, Flaxman A, Forouzanfar MH, Goto A, Green MA, Gupta R, Hafezi-Nejad N, Hankey GJ, Harewood HC, Havmoeller R, Hay S, Hernandez L, Husseini A, Idrisov BT, Ikeda N, Islami F, Jahangir E, Jassal SK, Jee SH, Jeffreys M, Jonas JB, Kabagambe EK, Khalifa SE, Kengne AP, Khader YS, Khang YH, Kim D, Kimokoti RW, Kinge JM, Kokubo Y, Kosen S, Kwan G, Lai T, Leinsalu M, Li Y, Liang X, Liu S, Logroscino G, Lotufo PA, Lu Y, Ma J, Mainoo NK, Mensah GA, Merriman TR, Mokdad AH, Moschandreas J, Naghavi M, Naheed A, Nand D, Narayan KM, Nelson EL, Neuhouser ML, Nisar MI, Ohkubo T, Oti SO, Pedroza A, et al. Global, regional, and national prevalence of overweight and obesity in children and adults during 1980–2013: a systematic analysis for the Global Burden of Disease Study 2013. Lancet. 2014;384(9945):766–81.CrossRefPubMedPubMedCentral Ng M, Fleming T, Robinson M, Thomson B, Graetz N, Margono C, Mullany EC, Biryukov S, Abbafati C, Abera SF, Abraham JP, Abu-Rmeileh NM, Achoki T, AlBuhairan FS, Alemu ZA, Alfonso R, Ali MK, Ali R, Guzman NA, Ammar W, Anwari P, Banerjee A, Barquera S, Basu S, Bennett DA, Bhutta Z, Blore J, Cabral N, Nonato IC, Chang JC, Chowdhury R, Courville KJ, Criqui MH, Cundiff DK, Dabhadkar KC, Dandona L, Davis A, Dayama A, Dharmaratne SD, Ding EL, Durrani AM, Esteghamati A, Farzadfar F, Fay DF, Feigin VL, Flaxman A, Forouzanfar MH, Goto A, Green MA, Gupta R, Hafezi-Nejad N, Hankey GJ, Harewood HC, Havmoeller R, Hay S, Hernandez L, Husseini A, Idrisov BT, Ikeda N, Islami F, Jahangir E, Jassal SK, Jee SH, Jeffreys M, Jonas JB, Kabagambe EK, Khalifa SE, Kengne AP, Khader YS, Khang YH, Kim D, Kimokoti RW, Kinge JM, Kokubo Y, Kosen S, Kwan G, Lai T, Leinsalu M, Li Y, Liang X, Liu S, Logroscino G, Lotufo PA, Lu Y, Ma J, Mainoo NK, Mensah GA, Merriman TR, Mokdad AH, Moschandreas J, Naghavi M, Naheed A, Nand D, Narayan KM, Nelson EL, Neuhouser ML, Nisar MI, Ohkubo T, Oti SO, Pedroza A, et al. Global, regional, and national prevalence of overweight and obesity in children and adults during 1980–2013: a systematic analysis for the Global Burden of Disease Study 2013. Lancet. 2014;384(9945):766–81.CrossRefPubMedPubMedCentral
2.
go back to reference Adair LS. Child and adolescent obesity: epidemiology and developmental perspectives. Physiol Behav. 2008;94(1):8–16.CrossRefPubMed Adair LS. Child and adolescent obesity: epidemiology and developmental perspectives. Physiol Behav. 2008;94(1):8–16.CrossRefPubMed
3.
go back to reference Dietz WH. Critical periods in childhood for the development of obesity. Am J Clin Nutr. 1994;59(5):955–9.PubMed Dietz WH. Critical periods in childhood for the development of obesity. Am J Clin Nutr. 1994;59(5):955–9.PubMed
5.
go back to reference Stocks T, Renders CM, Bulk-Bunschoten AM, Hirasing RA, van Buuren S, Seidell JC. Body size and growth in 0- to 4-year-old children and the relation to body size in primary school age. Obes Rev. 2011;12(8):637–52.CrossRefPubMed Stocks T, Renders CM, Bulk-Bunschoten AM, Hirasing RA, van Buuren S, Seidell JC. Body size and growth in 0- to 4-year-old children and the relation to body size in primary school age. Obes Rev. 2011;12(8):637–52.CrossRefPubMed
6.
go back to reference De Stavola BL, Nitsch D, dos Santos SI, McCormack V, Hardy R, Mann V, Cole TJ, Morton S, Leon DA. Statistical issues in life course epidemiology. Am J Epidemiol. 2006;163(1):84–96.CrossRefPubMed De Stavola BL, Nitsch D, dos Santos SI, McCormack V, Hardy R, Mann V, Cole TJ, Morton S, Leon DA. Statistical issues in life course epidemiology. Am J Epidemiol. 2006;163(1):84–96.CrossRefPubMed
7.
go back to reference Tu YK, Tilling K, Sterne JA, Gilthorpe MS. A critical evaluation of statistical approaches to examining the role of growth trajectories in the developmental origins of health and disease. Int J Epidemiol. 2013;42(5):1327–39. Tu YK, Tilling K, Sterne JA, Gilthorpe MS. A critical evaluation of statistical approaches to examining the role of growth trajectories in the developmental origins of health and disease. Int J Epidemiol. 2013;42(5):1327–39.
8.
go back to reference Terry MB, Wei Y, Esserman D, McKeague IW, Susser E. Pre- and postnatal determinants of childhood body size: cohort and sibling analyses. J Dev Orig Health Dis. 2011;2(2):99–111.CrossRefPubMed Terry MB, Wei Y, Esserman D, McKeague IW, Susser E. Pre- and postnatal determinants of childhood body size: cohort and sibling analyses. J Dev Orig Health Dis. 2011;2(2):99–111.CrossRefPubMed
9.
go back to reference Keijzer-Veen MG, Euser AM, van Montfoort N, Dekker FW, Vandenbroucke JP, Van Houwelingen HC. A regression model with unexplained residuals was preferred in the analysis of the fetal origins of adult diseases hypothesis. J Clin Epidemiol. 2005;58(12):1320–4.CrossRefPubMed Keijzer-Veen MG, Euser AM, van Montfoort N, Dekker FW, Vandenbroucke JP, Van Houwelingen HC. A regression model with unexplained residuals was preferred in the analysis of the fetal origins of adult diseases hypothesis. J Clin Epidemiol. 2005;58(12):1320–4.CrossRefPubMed
10.
go back to reference Dine MS, Gartside PS, Glueck CJ, Rheines L, Greene G, Khoury P. Where do the heaviest children come from? A prospective study of white children from birth to 5 years of age. Pediatrics. 1979;63(1):1–7.PubMed Dine MS, Gartside PS, Glueck CJ, Rheines L, Greene G, Khoury P. Where do the heaviest children come from? A prospective study of white children from birth to 5 years of age. Pediatrics. 1979;63(1):1–7.PubMed
11.
go back to reference Wills AK, Silverwood RJ, De Stavola BL. Comment on Tu et al. 2013. A critical evaluation of statistical approaches to examining the role of growth trajectories in the developmental origins of health and disease. Int J Epidemiol. 2014;43(5):1662–4. Wills AK, Silverwood RJ, De Stavola BL. Comment on Tu et al. 2013. A critical evaluation of statistical approaches to examining the role of growth trajectories in the developmental origins of health and disease. Int J Epidemiol. 2014;43(5):1662–4.
12.
go back to reference Glavin K, Roelants M, Strand BH, Juliusson PB, Lie KK, Helseth S, Hovengen R. Important periods of weight development in childhood: a population-based longitudinal study. BMC Public Health. 2014;14:160.CrossRefPubMedPubMedCentral Glavin K, Roelants M, Strand BH, Juliusson PB, Lie KK, Helseth S, Hovengen R. Important periods of weight development in childhood: a population-based longitudinal study. BMC Public Health. 2014;14:160.CrossRefPubMedPubMedCentral
13.
go back to reference Cole TJ, Bellizzi MC, Flegal KM, Dietz WH. Establishing a standard definition for child overweight and obesity worldwide: international survey. BMJ. 2000;320(7244):1240–3.CrossRefPubMedPubMedCentral Cole TJ, Bellizzi MC, Flegal KM, Dietz WH. Establishing a standard definition for child overweight and obesity worldwide: international survey. BMJ. 2000;320(7244):1240–3.CrossRefPubMedPubMedCentral
14.
go back to reference Cole TJ, Green PJ. Smoothing reference centile curves: the LMS method and penalized likelihood. Stat Med. 1992;11(10):1305–19.CrossRefPubMed Cole TJ, Green PJ. Smoothing reference centile curves: the LMS method and penalized likelihood. Stat Med. 1992;11(10):1305–19.CrossRefPubMed
15.
go back to reference Cole TJ. A new index of child weight-for-height based on weight and height Z scores. Proceedings of the Society for the Study of Human Biology: Ann Hum Biol, 1994;96. Cole TJ. A new index of child weight-for-height based on weight and height Z scores. Proceedings of the Society for the Study of Human Biology: Ann Hum Biol, 1994;96.
16.
go back to reference Eriksson J, Forsen T, Tuomilehto J, Osmond C, Barker D. Size at birth, childhood growth and obesity in adult life. Int J Obes Relat Metab Disord. 2001;25(5):735–40.CrossRefPubMed Eriksson J, Forsen T, Tuomilehto J, Osmond C, Barker D. Size at birth, childhood growth and obesity in adult life. Int J Obes Relat Metab Disord. 2001;25(5):735–40.CrossRefPubMed
20.
go back to reference Cole TJ. Modeling postnatal exposures and their interactions with birth size. J Nutr. 2004;134(1):201–4.PubMed Cole TJ. Modeling postnatal exposures and their interactions with birth size. J Nutr. 2004;134(1):201–4.PubMed
21.
go back to reference Anderson EL, Howe LD, Fraser A, Callaway MP, Sattar N, Day C, Tilling K, Lawlor DA. Weight trajectories through infancy and childhood and risk of non-alcoholic fatty liver disease in adolescence: the ALSPAC study. J Hepatol. 2014;61(3):626–32.CrossRefPubMedPubMedCentral Anderson EL, Howe LD, Fraser A, Callaway MP, Sattar N, Day C, Tilling K, Lawlor DA. Weight trajectories through infancy and childhood and risk of non-alcoholic fatty liver disease in adolescence: the ALSPAC study. J Hepatol. 2014;61(3):626–32.CrossRefPubMedPubMedCentral
22.
go back to reference Sonnenschein-van der Voort AM, Howe LD, Granell R, Duijts L, Sterne JA, Tilling K, Henderson AJ. Influence of childhood growth on asthma and lung function in adolescence. J Allergy Clin Immunol. 2015;135(6):1435–43. e7.CrossRefPubMedPubMedCentral Sonnenschein-van der Voort AM, Howe LD, Granell R, Duijts L, Sterne JA, Tilling K, Henderson AJ. Influence of childhood growth on asthma and lung function in adolescence. J Allergy Clin Immunol. 2015;135(6):1435–43. e7.CrossRefPubMedPubMedCentral
24.
go back to reference Jones-Smith JC, Neufeld LM, Laraia B, Ramakrishnan U, Garcia-Guerra A, Fernald LC. Early life growth trajectories and future risk for overweight. Nutr Diabetes. 2013;3:e60.CrossRefPubMedPubMedCentral Jones-Smith JC, Neufeld LM, Laraia B, Ramakrishnan U, Garcia-Guerra A, Fernald LC. Early life growth trajectories and future risk for overweight. Nutr Diabetes. 2013;3:e60.CrossRefPubMedPubMedCentral
Metadata
Title
Regression models for linking patterns of growth to a later outcome: infant growth and childhood overweight
Authors
Andrew K. Wills
Bjørn Heine Strand
Kari Glavin
Richard J. Silverwood
Ragnhild Hovengen
Publication date
01-12-2016
Publisher
BioMed Central
Published in
BMC Medical Research Methodology / Issue 1/2016
Electronic ISSN: 1471-2288
DOI
https://doi.org/10.1186/s12874-016-0143-1

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