daniel pratt andy peytchev michael duprey jeffrey rosen
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Modeling Nonresponse Bias Likelihood and Response Propensity Daniel Pratt, Andy Peytchev, Michael Duprey, Jeffrey Rosen, Jamie Wescott www.rti.org 1 RTI International is a registered trademark and a trade name of Research Triangle Institute.


  1. Modeling Nonresponse Bias Likelihood and Response Propensity Daniel Pratt, Andy Peytchev, Michael Duprey, Jeffrey Rosen, Jamie Wescott www.rti.org 1 RTI International is a registered trademark and a trade name of Research Triangle Institute.

  2. Background  Substantial uncertainty in survey outcomes  With respect to nonresponse:  Current response rates provide potential for nonresponse bias in survey estimates  Pursuing the full sample with increased effort is inefficient and often infeasible 2

  3. Approach  Identify the main objective – Minimize nonresponse bias  Devise multiple phases of data collection, each altering the data collection protocol – Phases should have complementary features (Groves and Heeringa, 2006) – Identify which nonresponding cases will likely lead to reduction in nonresponse bias, if interviewed  Implement the protocols that should increase participation among the identified nonrespondents  Evaluate results 3

  4. Identification of Targeted Sample Cases  Estimate response propensities to identify those most likely to have been excluded from the respondent pool  Common approach to propensity estimation: – Assume everyone has an underlying propensity to respond – Use all available information to estimate the propensity to respond 4

  5. Key Assumption  Assumes that the estimated propensities are highly correlated with the survey variables, necessary for the approach to reduce nonresponse bias  Paradata such as prior round nonresponse and needed level of effort tend to be: – Strongly correlated with nonresponse (e.g., Wagner et al., 2014) – Weakly correlated with survey measures (e.g., Wagner et al., 2014)  Could explain why targeting has been ineffective (e.g., Peytchev, Riley, Rosen, Murphy, and Lindblad, 2012) 5

  6. Proposed Approach  Devise propensity models that: – Deliberately exclude strong predictors of nonresponse but are very weakly associated with survey variables of interest – Deliberately identify and select predictors that are highly correlated with the survey variables  Main objective is not to identify the model that best identifies the response propensities, but to identify which nonrespondendents are likely contributing to nonresponse bias – The strong predictors of response propensity could “overwhelm” the correlates of the survey variables in the model  Let’s name this model a bias likelihood model 6

  7. High School Longitudinal Study of 2009 (HSLS:09)  Nationally representative, longitudinal study of 23,000+ 9th graders in 2009  Study design: – Base year (2009) – First follow-up (2012) – 2013 Update (2013) – Second follow-up (2016)  Estimate two sets of response propensities: – Response propensity model (maximize prediction of second follow- up nonresponse) – Bias likelihood model (exclude paradata that are strongly predictive of nonresponse)  Re-estimate the propensities during data collection 7

  8. Propensity Models Response Propensity Model Bias Likelihood Model  Estimates unit-level response  Identifies nonrespondents in probability the most underrepresented groups  Covariates  Covariates – Model covariates combine key variables of interest – Chosen such that (from bias likelihood model) differences should proxy and paradata nonresponse bias  Dependent variable – Model excludes paradata – Current-round response  Dependent variable  Re-estimated prior to each – Current-round response data collection intervention  Re-estimated prior to each data collection intervention 8

  9. Does including paradata overwhelm bias likelihood model? 9

  10. Response Propensity / Bias Likelihood – Start Interventions 10

  11. Response Propensity / Bias Likelihood – Middle (12 weeks) 11

  12. Response Propensity / Bias Likelihood – End (32 weeks) 12

  13. How do the models differ in the estimation of propensities that are associated with survey variables? 13

  14. Correlations – Start Interventions 0.6 0.5 0.4 0.3 0.2 0.1 0 Bias Likelihood Model Response Propensity Model 14

  15. Correlations – Middle (12 weeks) 0.6 0.5 0.4 0.3 0.2 0.1 0 Bias Likelihood Model Response Propensity Model 15

  16. Correlations – End (32 weeks) 0.6 0.5 0.4 0.3 0.2 0.1 0 Bias Likelihood Model Response Propensity Model 16

  17. Summary and Conclusions  Even when the propensity model includes the relevant variables that are associated with the variables of interest, the inclusion of paradata to maximize prediction: – Led to higher dispersion of response propensities – This produced differences between the predicted propensities of the response propensity model which included paradata and the bias likelihood model that excluded the paradata – Reduced the associations between the estimated propensities and the key survey variables  We recommend going forward with the “Bias Likelihood” model approach for Responsive and Adaptive Design interventions, when using a single model 17

  18. Next Steps Develop Bayesian approach  Advantages (and possible disadvantages) of Bayesian updating of response propensity throughout data collection  Evaluate impact of informative priors on bias likelihood model  Integrate cost estimation 18

  19. Thank You Daniel Pratt Education and Workforce Development RTI International djp@rti.org 19

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