Skip to main content
Top
Published in: BMC Medical Research Methodology 1/2019

Open Access 01-12-2019 | Addiction | Research article

Preventing bias from selective non-response in population-based survey studies: findings from a Monte Carlo simulation study

Authors: Kristin Gustavson, Espen Røysamb, Ingrid Borren

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

Login to get access

Abstract

Background

Health researchers often use survey studies to examine associations between risk factors at one time point and health outcomes later in life. Previous studies have shown that missing not at random (MNAR) may produce biased estimates in such studies. Medical researchers typically do not employ statistical methods for treating MNAR. Hence, there is a need to increase knowledge about how to prevent occurrence of such bias in the first place.

Methods

Monte Carlo simulations were used to examine the degree to which selective non-response leads to biased estimates of associations between risk factors and health outcomes when persons with the highest levels of health problems are under-represented or totally missing from the sample. This was examined under different response rates and different degrees of dependency between non-response and study variables.

Results

Response rate per se had little effect on bias. When extreme values on the health outcome were completely missing, rather than under-represented, results were heavily biased even at a 70% response rate. In most situations, 50–100% of this bias could be prevented by including some persons with extreme scores on the health outcome in the sample, even when these persons were under-represented. When some extreme scores were present, estimates of associations were unbiased in several situations, only mildly biased in other situations, and became biased only when non-response was related to both risk factor and health outcome to substantial degrees.

Conclusions

The potential for preventing bias by including some extreme scorers in the sample is high (50–100% in many scenarios). Estimates may then be relatively unbiased in many situations, also at low response rates. Hence, researchers should prioritize to spend their resources on recruiting and retaining at least some individuals with extreme levels of health problems, rather than to obtain very high response rates from people who typically respond to survey studies. This may contribute to preventing bias due to selective non-response in longitudinal studies of risk factors and health outcomes.
Literature
1.
go back to reference Gustavson K, von Soest T, Karevold E, Roysamb E. Attrition and generalizability in longitudinal studies: findings from a 15-year population-based study and a Monte Carlo simulation study. BMC Public Health. 2012;12:918.PubMedPubMedCentralCrossRef Gustavson K, von Soest T, Karevold E, Roysamb E. Attrition and generalizability in longitudinal studies: findings from a 15-year population-based study and a Monte Carlo simulation study. BMC Public Health. 2012;12:918.PubMedPubMedCentralCrossRef
2.
go back to reference Graham JW. Missing data analysis: making it work in the real world. Annu Rev Psychol. 2009;60:549–76.PubMedCrossRef Graham JW. Missing data analysis: making it work in the real world. Annu Rev Psychol. 2009;60:549–76.PubMedCrossRef
3.
go back to reference Fitzmaurice GM, Laird NM, Ware JH. Applied longitudinal analysis. New Jersey: Wiley-interscience; 2004. Fitzmaurice GM, Laird NM, Ware JH. Applied longitudinal analysis. New Jersey: Wiley-interscience; 2004.
4.
go back to reference Little TD, Rubin DB. Statistical analysis with missing data. 2nd ed. New York: Wiley; 2002.CrossRef Little TD, Rubin DB. Statistical analysis with missing data. 2nd ed. New York: Wiley; 2002.CrossRef
5.
go back to reference Allison PD. Missing data. Thousand Oaks, CA: Sage; 2001. p. 07–136. Allison PD. Missing data. Thousand Oaks, CA: Sage; 2001. p. 07–136.
7.
go back to reference Ibrahim JG, Chen MH, Lipsitz SR, Herring AH. Missing-data methods for generalized linear models: a comparative review. J Am Stat Assoc. 2005;100(469):332–46.CrossRef Ibrahim JG, Chen MH, Lipsitz SR, Herring AH. Missing-data methods for generalized linear models: a comparative review. J Am Stat Assoc. 2005;100(469):332–46.CrossRef
8.
go back to reference Kalaylioglu Z. Performances of Bayesian model selection criteria for generalized linear models with non-ignorably missing covariates. J Stat Comput Sim. 2014;84(8):1670–91.CrossRef Kalaylioglu Z. Performances of Bayesian model selection criteria for generalized linear models with non-ignorably missing covariates. J Stat Comput Sim. 2014;84(8):1670–91.CrossRef
9.
go back to reference Lipsitz SR, Ibrahim JG, Chen MH, Peterson H. Non-ignorable missing covariates in generalized linear models. Stat Med. 1999;18(17–18):2435–48.PubMedCrossRef Lipsitz SR, Ibrahim JG, Chen MH, Peterson H. Non-ignorable missing covariates in generalized linear models. Stat Med. 1999;18(17–18):2435–48.PubMedCrossRef
10.
go back to reference Ibrahim JG, Lipsitz SR. Parameter estimation from incomplete data in binomial regression when the missing data mechanism is nonignorable. Biometrics. 1996;52(3):1071–8.PubMedCrossRef Ibrahim JG, Lipsitz SR. Parameter estimation from incomplete data in binomial regression when the missing data mechanism is nonignorable. Biometrics. 1996;52(3):1071–8.PubMedCrossRef
11.
go back to reference Ibrahim JG, Lipsitz SR, Chen M-H. Missing covariates in generalized linear models when the missing data mechanism is non-ignorable. J R Statist Soc B. 1999;61:173–90.CrossRef Ibrahim JG, Lipsitz SR, Chen M-H. Missing covariates in generalized linear models when the missing data mechanism is non-ignorable. J R Statist Soc B. 1999;61:173–90.CrossRef
13.
go back to reference Galimard JE, Chevret S, Curis E, Resche-Rigon M. Heckman imputation models for binary or continuous MNAR outcomes and MAR predictors. BMC Med Res Methodol. 2018;18(1):90.PubMedPubMedCentralCrossRef Galimard JE, Chevret S, Curis E, Resche-Rigon M. Heckman imputation models for binary or continuous MNAR outcomes and MAR predictors. BMC Med Res Methodol. 2018;18(1):90.PubMedPubMedCentralCrossRef
14.
go back to reference Galimard JE, Chevret S, Protopopescu C, Resche-Rigon M. A multiple imputation approach for MNAR mechanisms compatible with Heckman's model. Stat Med. 2016;35(17):2907–20.PubMedCrossRef Galimard JE, Chevret S, Protopopescu C, Resche-Rigon M. A multiple imputation approach for MNAR mechanisms compatible with Heckman's model. Stat Med. 2016;35(17):2907–20.PubMedCrossRef
15.
go back to reference Marshall A, Altman DG, Royston P, Holder RL. Comparison of techniques for handling missing covariate data within prognostic modelling studies: a simulation study. BMC Med Res Methodol. 2010;10:7.PubMedPubMedCentralCrossRef Marshall A, Altman DG, Royston P, Holder RL. Comparison of techniques for handling missing covariate data within prognostic modelling studies: a simulation study. BMC Med Res Methodol. 2010;10:7.PubMedPubMedCentralCrossRef
17.
go back to reference Little TD, Jorgensen TD, Lang KM, Moore EW. On the joys of missing data. J Pediatr Psychol. 2014;39(2):151–62.PubMedCrossRef Little TD, Jorgensen TD, Lang KM, Moore EW. On the joys of missing data. J Pediatr Psychol. 2014;39(2):151–62.PubMedCrossRef
18.
go back to reference Greene W. A stochastic frontier model with correction for sample selection. J Prod Anal. 2010;34(1):15–24.CrossRef Greene W. A stochastic frontier model with correction for sample selection. J Prod Anal. 2010;34(1):15–24.CrossRef
19.
go back to reference Lewin A, Brondeel R, Benmarhnia T, Thomas F, Chaix B. Attrition Bias related to missing outcome data: a longitudinal simulation study. Epidemiology. 2018;29(1):87–95.PubMedCrossRef Lewin A, Brondeel R, Benmarhnia T, Thomas F, Chaix B. Attrition Bias related to missing outcome data: a longitudinal simulation study. Epidemiology. 2018;29(1):87–95.PubMedCrossRef
20.
go back to reference Kristman V, Manno M, Cote P. Loss to follow-up in cohort studies: how much is too much? Eur J Epidemiol. 2004;19(8):751–60.PubMedCrossRef Kristman V, Manno M, Cote P. Loss to follow-up in cohort studies: how much is too much? Eur J Epidemiol. 2004;19(8):751–60.PubMedCrossRef
21.
go back to reference Cornish RP, Tilling K, Boyd A, Davies A, Macleod J. Using linked educational attainment data to reduce bias due to missing outcome data in estimates of the association between the duration of breastfeeding and IQ at 15 years. Int J Epidemiol. 2015;44(3):937–45.PubMedPubMedCentralCrossRef Cornish RP, Tilling K, Boyd A, Davies A, Macleod J. Using linked educational attainment data to reduce bias due to missing outcome data in estimates of the association between the duration of breastfeeding and IQ at 15 years. Int J Epidemiol. 2015;44(3):937–45.PubMedPubMedCentralCrossRef
22.
go back to reference Gustavson K, Borren I. Bias in the study of prediction of change: a Monte Carlo simulation study of the effects of selective attrition and inappropriate modeling of regression toward the mean. BMC Med Res Methodol. 2014;14:133.PubMedPubMedCentralCrossRef Gustavson K, Borren I. Bias in the study of prediction of change: a Monte Carlo simulation study of the effects of selective attrition and inappropriate modeling of regression toward the mean. BMC Med Res Methodol. 2014;14:133.PubMedPubMedCentralCrossRef
23.
go back to reference Sullivan TR, Salter AB, Ryan P, Lee KJ. Bias and precision of the “multiple imputation, then deletion” method for dealing with missing outcome data. Am J Epidemiol. 2015;182(6):528–34.PubMedCrossRef Sullivan TR, Salter AB, Ryan P, Lee KJ. Bias and precision of the “multiple imputation, then deletion” method for dealing with missing outcome data. Am J Epidemiol. 2015;182(6):528–34.PubMedCrossRef
24.
go back to reference Hoeymans N, Feskens EJ, Van Den Bos GA, Kromhout D. Non-response bias in a study of cardiovascular diseases, functional status and self-rated health among elderly men. Age Ageing. 1998;27(1):35–40.PubMedCrossRef Hoeymans N, Feskens EJ, Van Den Bos GA, Kromhout D. Non-response bias in a study of cardiovascular diseases, functional status and self-rated health among elderly men. Age Ageing. 1998;27(1):35–40.PubMedCrossRef
25.
go back to reference Tambs K, Ronning T, Prescott CA, Kendler KS, Reichborn-Kjennerud T, Torgersen S, Harris JR. The Norwegian Institute of Public Health Twin Study of mental health: examining recruitment and attrition Bias. Twin Res Hum Genet. 2009;12(2):158–68.PubMedPubMedCentralCrossRef Tambs K, Ronning T, Prescott CA, Kendler KS, Reichborn-Kjennerud T, Torgersen S, Harris JR. The Norwegian Institute of Public Health Twin Study of mental health: examining recruitment and attrition Bias. Twin Res Hum Genet. 2009;12(2):158–68.PubMedPubMedCentralCrossRef
26.
go back to reference Thygesen LC, Johansen C, Keiding N, Giovannucci E, Gronbaek M. Effects of sample attrition in a longitudinal study of the association between alcohol intake and all-cause mortality. Addiction. 2008;103(7):1149–59.PubMedCrossRef Thygesen LC, Johansen C, Keiding N, Giovannucci E, Gronbaek M. Effects of sample attrition in a longitudinal study of the association between alcohol intake and all-cause mortality. Addiction. 2008;103(7):1149–59.PubMedCrossRef
27.
go back to reference Torvik FA, Rognmo K, Tambs K. Alcohol use and mental distress as predictors of non-response in a general population health survey: the HUNT study. Soc Psychiatry Psychiatr Epidemiol. 2012;47(5):805–16.PubMedCrossRef Torvik FA, Rognmo K, Tambs K. Alcohol use and mental distress as predictors of non-response in a general population health survey: the HUNT study. Soc Psychiatry Psychiatr Epidemiol. 2012;47(5):805–16.PubMedCrossRef
28.
go back to reference Van Loon AJM, Tijhuis M, Picavet HSJ, Surtees PG, Ormel J. Survey non-response in the Netherlands: effects on prevalence estimates and associations. Ann Epidemiol. 2003;13(2):105–10.PubMedCrossRef Van Loon AJM, Tijhuis M, Picavet HSJ, Surtees PG, Ormel J. Survey non-response in the Netherlands: effects on prevalence estimates and associations. Ann Epidemiol. 2003;13(2):105–10.PubMedCrossRef
29.
go back to reference Nilsen RM, Vollset SE, Gjessing HK, Skjaerven R, Melve KK, Schreuder P, Alsaker ER, Haug K, Daltveit AK, Magnus P. Self-selection and bias in a large prospective pregnancy cohort in Norway. Paediatr Perinat Epidemiol. 2009;23(6):597–608.PubMedCrossRef Nilsen RM, Vollset SE, Gjessing HK, Skjaerven R, Melve KK, Schreuder P, Alsaker ER, Haug K, Daltveit AK, Magnus P. Self-selection and bias in a large prospective pregnancy cohort in Norway. Paediatr Perinat Epidemiol. 2009;23(6):597–608.PubMedCrossRef
30.
go back to reference Cuijpers P. Meta-analyses in mental health research. A practical guide. Amsterdam: Vrije Universitet Amsterdam; 2016. Cuijpers P. Meta-analyses in mental health research. A practical guide. Amsterdam: Vrije Universitet Amsterdam; 2016.
31.
go back to reference Axelsson GT, Putman RK, Araki T, Sigurdsson S, Gudmundsson EF, Eiriksdottir G, Aspelund T, Miller ER, Launer LJ, Harris TB, et al. Interstitial lung abnormalities and self-reported health and functional status. Thorax. 2018;73(9):884–6.PubMedPubMedCentralCrossRef Axelsson GT, Putman RK, Araki T, Sigurdsson S, Gudmundsson EF, Eiriksdottir G, Aspelund T, Miller ER, Launer LJ, Harris TB, et al. Interstitial lung abnormalities and self-reported health and functional status. Thorax. 2018;73(9):884–6.PubMedPubMedCentralCrossRef
32.
go back to reference Thompson R, Flaherty EG, English DJ, Litrownik AJ, Dubowitz H, Kotch JB, Runyan DK. Trajectories of adverse childhood experiences and self-reported health at age 18. Acad Pediatr. 2015;15(5):503–9.PubMedCrossRef Thompson R, Flaherty EG, English DJ, Litrownik AJ, Dubowitz H, Kotch JB, Runyan DK. Trajectories of adverse childhood experiences and self-reported health at age 18. Acad Pediatr. 2015;15(5):503–9.PubMedCrossRef
33.
go back to reference Hagen KB, Aas T, Kvaloy JT, Eriksen HR, Soiland H, Lind R. Fatigue, anxiety and depression overrule the role of oncological treatment in predicting self-reported health complaints in women with breast cancer compared to healthy controls. Breast. 2016;28:100–6.PubMedCrossRef Hagen KB, Aas T, Kvaloy JT, Eriksen HR, Soiland H, Lind R. Fatigue, anxiety and depression overrule the role of oncological treatment in predicting self-reported health complaints in women with breast cancer compared to healthy controls. Breast. 2016;28:100–6.PubMedCrossRef
34.
go back to reference Liddell TM, Kruschke JK. Analyzing ordinal data with metric models: what could possibly go wrong? J Exp Soc Psychol. 2018;79:328–48.CrossRef Liddell TM, Kruschke JK. Analyzing ordinal data with metric models: what could possibly go wrong? J Exp Soc Psychol. 2018;79:328–48.CrossRef
35.
go back to reference Muthén LK, Muthén BO. Mplus User’s guide, 8th edn. Los Angeles: Muthén & Muthén; 1998-2017. Muthén LK, Muthén BO. Mplus User’s guide, 8th edn. Los Angeles: Muthén & Muthén; 1998-2017.
36.
go back to reference Akande O, Li F, Reiter J. An empirical comparison of multiple imputation methods for categorical data. Am Stat. 2017;71(2):162–70.CrossRef Akande O, Li F, Reiter J. An empirical comparison of multiple imputation methods for categorical data. Am Stat. 2017;71(2):162–70.CrossRef
37.
go back to reference van der Palm DW, van der Ark LA, Vermunt JK. A comparison of incomplete-data methods for categorical data. Stat Methods Med Res. 2016;25(2):754–74.PubMedCrossRef van der Palm DW, van der Ark LA, Vermunt JK. A comparison of incomplete-data methods for categorical data. Stat Methods Med Res. 2016;25(2):754–74.PubMedCrossRef
38.
go back to reference Moylan S, Gustavson K, Overland S, Karevold EB, Jacka FN, Pasco JA, Berk M. The impact of maternal smoking during pregnancy on depressive and anxiety behaviors in children: the Norwegian mother and child cohort study. BMC Med. 2015;13:24.PubMedPubMedCentralCrossRef Moylan S, Gustavson K, Overland S, Karevold EB, Jacka FN, Pasco JA, Berk M. The impact of maternal smoking during pregnancy on depressive and anxiety behaviors in children: the Norwegian mother and child cohort study. BMC Med. 2015;13:24.PubMedPubMedCentralCrossRef
39.
go back to reference Beebe TJ, Rey E, Ziegenfuss JY, Jenkins S, Lackore K, Talley NJ, Locke RG 3rd. Shortening a survey and using alternative forms of prenotification: impact on response rate and quality. BMC Med Res Methodol. 2010;10:50.PubMedPubMedCentralCrossRef Beebe TJ, Rey E, Ziegenfuss JY, Jenkins S, Lackore K, Talley NJ, Locke RG 3rd. Shortening a survey and using alternative forms of prenotification: impact on response rate and quality. BMC Med Res Methodol. 2010;10:50.PubMedPubMedCentralCrossRef
40.
go back to reference Lungenhausen M, Lange S, Maier C, Schaub C, Trampisch HJ, Endres HG. Randomised controlled comparison of the health survey short form (SF-12) and the graded chronic pain scale (GCPS) in telephone interviews versus self-administered questionnaires. Are the results equivalent? BMC Med Res Methodol. 2007;7:50.PubMedPubMedCentralCrossRef Lungenhausen M, Lange S, Maier C, Schaub C, Trampisch HJ, Endres HG. Randomised controlled comparison of the health survey short form (SF-12) and the graded chronic pain scale (GCPS) in telephone interviews versus self-administered questionnaires. Are the results equivalent? BMC Med Res Methodol. 2007;7:50.PubMedPubMedCentralCrossRef
41.
42.
go back to reference Hammarstrom A, Westerlund H, Kirves K, Nygren K, Virtanen P, Hagglof B. Addressing challenges of validity and internal consistency of mental health measures in a 27- year longitudinal cohort study - the northern Swedish cohort study. BMC Med Res Methodol. 2016;16:4.PubMedPubMedCentralCrossRef Hammarstrom A, Westerlund H, Kirves K, Nygren K, Virtanen P, Hagglof B. Addressing challenges of validity and internal consistency of mental health measures in a 27- year longitudinal cohort study - the northern Swedish cohort study. BMC Med Res Methodol. 2016;16:4.PubMedPubMedCentralCrossRef
44.
go back to reference Fraser A, Macdonald-Wallis C, Tilling K, Boyd A, Golding J, Davey Smith G, Henderson J, Macleod J, Molloy L, Ness A, et al. Cohort profile: the Avon longitudinal study of parents and children: ALSPAC mothers cohort. Int J Epidemiol. 2013;42(1):97–110.PubMedCrossRef Fraser A, Macdonald-Wallis C, Tilling K, Boyd A, Golding J, Davey Smith G, Henderson J, Macleod J, Molloy L, Ness A, et al. Cohort profile: the Avon longitudinal study of parents and children: ALSPAC mothers cohort. Int J Epidemiol. 2013;42(1):97–110.PubMedCrossRef
45.
go back to reference Reichborn-Kjennerud T, Czajkowski N, Ystrom E, Orstavik R, Aggen SH, Tambs K, Torgersen S, Neale MC, Roysamb E, Krueger RF, et al. A longitudinal twin study of borderline and antisocial personality disorder traits in early to middle adulthood. Psychol Med. 2015;14:1–11. Reichborn-Kjennerud T, Czajkowski N, Ystrom E, Orstavik R, Aggen SH, Tambs K, Torgersen S, Neale MC, Roysamb E, Krueger RF, et al. A longitudinal twin study of borderline and antisocial personality disorder traits in early to middle adulthood. Psychol Med. 2015;14:1–11.
46.
go back to reference Eilertsen EM, Gjerde LC, Reichborn-Kjennerud T, Orstavik RE, Knudsen GP, Stoltenberg C, Czajkowski N, Roysamb E, Kendler KS, Ystrom E. Maternal alcohol use during pregnancy and offspring attention-deficit hyperactivity disorder (ADHD): a prospective sibling control study. Int J Epidemiol. 2017;46(5):1633–40.PubMedPubMedCentralCrossRef Eilertsen EM, Gjerde LC, Reichborn-Kjennerud T, Orstavik RE, Knudsen GP, Stoltenberg C, Czajkowski N, Roysamb E, Kendler KS, Ystrom E. Maternal alcohol use during pregnancy and offspring attention-deficit hyperactivity disorder (ADHD): a prospective sibling control study. Int J Epidemiol. 2017;46(5):1633–40.PubMedPubMedCentralCrossRef
48.
go back to reference R Core Team. R: a language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing; 2017. R Core Team. R: a language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing; 2017.
49.
go back to reference Nilsen W, Karevold E, Roysamb E, Gustayson K, Mathiesen KS. Social skills and depressive symptoms across adolescence: social support as a mediator in girls versus boys. J Adolesc. 2013;36(1):11–20.PubMedCrossRef Nilsen W, Karevold E, Roysamb E, Gustayson K, Mathiesen KS. Social skills and depressive symptoms across adolescence: social support as a mediator in girls versus boys. J Adolesc. 2013;36(1):11–20.PubMedCrossRef
50.
go back to reference Cummings SM, Savitz LA, Konrad TR. Reported response rates to mailed physician questionnaires. Health Serv Res. 2001;35(6):1347–55.PubMedPubMedCentral Cummings SM, Savitz LA, Konrad TR. Reported response rates to mailed physician questionnaires. Health Serv Res. 2001;35(6):1347–55.PubMedPubMedCentral
51.
go back to reference van Buuren S, Groothuis-Oudshoorn K. Mice: multivariate imputation by chained equations in R. J Stat Softw. 2011;45(3):1–67.CrossRef van Buuren S, Groothuis-Oudshoorn K. Mice: multivariate imputation by chained equations in R. J Stat Softw. 2011;45(3):1–67.CrossRef
52.
go back to reference Muthén LK, Muthén BO: Regression analysis, exploratory factor analysis, confirmatory factor analysis, and structural equation modeling for categorical, censored, and count outcomes. http://www.statmodel.com. 2009. Muthén LK, Muthén BO: Regression analysis, exploratory factor analysis, confirmatory factor analysis, and structural equation modeling for categorical, censored, and count outcomes. http://​www.​statmodel.​com. 2009.
53.
go back to reference Howe LD, Tilling K, Galobardes B, Lawlor DA. Loss to follow-up in cohort studies Bias in estimates of socioeconomic inequalities. Epidemiology. 2013;24(1):1–9.PubMedPubMedCentralCrossRef Howe LD, Tilling K, Galobardes B, Lawlor DA. Loss to follow-up in cohort studies Bias in estimates of socioeconomic inequalities. Epidemiology. 2013;24(1):1–9.PubMedPubMedCentralCrossRef
54.
go back to reference Greene N, Greenland S, Olsen J, Nohr EA. Estimating bias from loss to follow-up in the Danish National Birth Cohort. Epidemiology. 2011;22(6):815–22.PubMed Greene N, Greenland S, Olsen J, Nohr EA. Estimating bias from loss to follow-up in the Danish National Birth Cohort. Epidemiology. 2011;22(6):815–22.PubMed
Metadata
Title
Preventing bias from selective non-response in population-based survey studies: findings from a Monte Carlo simulation study
Authors
Kristin Gustavson
Espen Røysamb
Ingrid Borren
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/s12874-019-0757-1

Other articles of this Issue 1/2019

BMC Medical Research Methodology 1/2019 Go to the issue