Startseite Causal inference under interference with prognostic scores for dynamic group therapy studies
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Causal inference under interference with prognostic scores for dynamic group therapy studies

  • Bing Han EMAIL logo , Susan M. Paddock und Lane Burgette
Veröffentlicht/Copyright: 13. August 2021
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Abstract

Group therapy is a common treatment modality for behavioral health conditions. Patients often enter and exit groups on an ongoing basis, leading to dynamic therapy groups. Examining the effect of high versus low session attendance on patient outcomes is a research question of interest. However, there are several challenges to identifying causal effects in this setting, including the lack of randomization, interference among patients, and the interrelatedness of patient participation. Dynamic therapy groups motivate a unique causal inference scenario, as the treatment statuses are completely defined by the patient attendance record for the therapy session, which is also the structure inducing interference. We adopt the Rubin causal model framework to define the causal effect of high versus low session attendance of group therapy at both the individual patient and peer levels. We propose a strategy to identify individual, peer, and total effects of high attendance versus low attendance on patient outcomes by the prognostic score stratification. We examine performance of our approach via simulation and apply it to data from a group cognitive behavioral therapy trial for treating depression among patients in a substance use disorders treatment setting.


Corresponding author: Bing Han, Southern California Kaiser Permanente, Pasadena, CA, USA, E-mail:

Funding source: National Institute On Alcohol Abuse And Alcoholism of the National Institutes of Health

Award Identifier / Grant number: R01AA019663

Funding source: National Institute of Drug Abuse of the National Institutes of Health

Award Identifier / Grant number: R01DA040721

Acknowledgments

The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work was supported by the National Institute On Alcohol Abuse And Alcoholism of the National Institutes of Health [R01AA019663] and the National Institute of Drug Abuse of the National Institutes of Health [R01DA040721].

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

Appendix

Proposition 1 is a direct result from Assumption 2.

Proof of Proposition 2

f ( Y i ( z , v ) , M | ψ i , m ( X i , W i ) ) = f ( Y i ( z , v ) , M | ψ i , m i ) = f ( Y i ( z , v ) , M | X i , W i , ψ i , m i ) f ( X i , W i | ψ i , m i ) d X i d W i = f ( Y i ( z , v ) | ψ i , m i ) f ( M | X i , W i , ψ i , m i ) f ( X i , W i | ψ i , m i ) d X i d W i = f ( Y i ( z , v ) | ψ i , m i ) f ( M , X i , W i ) | ψ i , m i d X i d W i = f ( Y i ( z , v ) | ψ i , m i ) f ( M | ψ i , m i ) .

Proof of Proposition 3

Noticing that (V i , Z i ) is determined by M,

E [ Y ( z , v ) ] = E E [ Y i ( z , v ) | ψ i , m ( X i , W i ) ] = E E Y i ( z , v ) | ψ i , m i = E E [ Y i ( z , v ) | M = M , V i = v , Z i = z , ψ i , m i ] by Proposition  2 = E E [ Y i ( Z i , V i ) | M = M , V i = v , Z i = z , ψ i , m i ] = E E [ Y i ( Z i , V i ) + e i ( M ) | M = M , V i = v , Z i = z , ψ i , m i ] by E [ e i ( M ) | M ] = 0 = E E [ Y i ( M ) | M = M , V i = v , Z i = z , ψ i , m i ] .

References

1. Morgan-Lopez, AA, Fals-Stewart, W. Analytic methods for modeling longitudinal data from rolling therapy groups with membership turnover. J Consult Clin Psychol 2007;75:580–93. https://doi.org/10.1037/0022-006x.75.4.580.Suche in Google Scholar PubMed

2. Paddock, SM, Hunter, SB, Watkins, KE, McCaffrey, DF. Analysis of rolling group therapy data using conditionally autoregressive priors. Ann Appl Stat 2011;5:605–27. https://doi.org/10.1214/10-AOAS434.Suche in Google Scholar PubMed PubMed Central

3. Bauer, DJ, Sterba, SK, Hallfors, DD. Evaluating group-based interventions when control participants are ungrouped. Multivariate Behav Res 2008;43:210–36. https://doi.org/10.1080/00273170802034810.Suche in Google Scholar PubMed PubMed Central

4. Guy, C, Hedeker, D, Aarons, GA. An introduction and integration of cross-classified, multiple membership, and dynamic group random-effects models. Psychol Methods 2015;20:407–21. https://doi.org/10.1037/met0000043.Suche in Google Scholar PubMed PubMed Central

5. Burgette, LF, Paddock, SM. Bayesian models for semicontinuous outcomes in rolling admission therapy groups. Psychol Methods 2017;22:725. https://doi.org/10.1037/met0000135.Suche in Google Scholar PubMed PubMed Central

6. Watkins, KE, Hunter, SB, Hepner, KA, Paddock, SM, de la Cruz, E, Zhou, AJ, et al.. An effectiveness trial of group cognitive behavioral therapy for patients with persistent depressive symptoms in substance abuse treatment. Arch Gen Psychiatr 2011;68:1–8. https://doi.org/10.1001/archgenpsychiatry.2011.53.Suche in Google Scholar PubMed PubMed Central

7. Magill, M, Ray, LA. Cognitive-behavioral treatment with adult alcohol and illicit drug users: a meta-analysis of randomized controlled trials. J Stud Alcohol Drugs 2009;70:516–27. https://doi.org/10.15288/jsad.2009.70.516.Suche in Google Scholar PubMed PubMed Central

8. Cuipers, P, Huibers, M, Ebert, DD, Koole, SL, Andersson, G. How much psychotherapy is needed to treat depression? A metaregression analysis. J Affect Disord 2013;149:1–13. https://doi.org/10.1016/j.jad.2013.02.030.Suche in Google Scholar PubMed

9. Kivlighan, DM, Owen, J, Antle, B. Members’ attendance rates and outcomes of relationship education groups: a consensus-dispersion analysis. J Fam Psychol 2017;31:358–66. https://doi.org/10.1037/fam0000287.Suche in Google Scholar PubMed

10. Agazarian, YM. Theory of the invisible group applied to individual and group-as-a-whole interpretations. Group 1983;7:27–37. https://doi.org/10.1007/bf01458248.Suche in Google Scholar

11. Rosenbaum, PR, Rubin, DB. The central role of the propensity score in observational studies for causal effects. Biometrika 1983;70:41–55. https://doi.org/10.1093/biomet/70.1.41.Suche in Google Scholar

12. Burlingame, GM, McClendon, DT, Alonso, J. Cohesion in group therapy. Psychotherapy 2011;48:34–42. https://doi.org/10.1037/a0022063.Suche in Google Scholar PubMed

13. Hong, G, Raudenbush, SW. Effects of kindergarten retention policy on children’s cognitive growth in reading and mathematics. Educ Eval Pol Anal 2005;27:205–24. https://doi.org/10.3102/01623737027003205.Suche in Google Scholar

14. Hong, G, Raudenbush, SW. Evaluating kindergarten retention policy: a case study of causal inference for multilevel observational data. J Am Stat Assoc 2006;101:901–10. https://doi.org/10.1198/016214506000000447.Suche in Google Scholar

15. Vanderweele, TJ, Hong, G, Jones, SM, Brown, JL. Mediation and spillover effects in group-randomized trials: a case study of the 4rs educational intervention. J Am Stat Assoc 2013;108:469–82. https://doi.org/10.1080/01621459.2013.779832.Suche in Google Scholar PubMed PubMed Central

16. Sobel, ME. What do randomized studies of housing mobility demonstrate?: causal inference in the face of interference. J Am Stat Assoc 2006;101:1398–407. https://doi.org/10.1198/016214506000000636.Suche in Google Scholar

17. Hudgens, MG, Halloran, ME. Toward causal inference with interference. J Am Stat Assoc 2008;103:832–42. https://doi.org/10.1198/016214508000000292.Suche in Google Scholar PubMed PubMed Central

18. L Forastiere, Airoldi, EM, Mealli, F. Identification and estimation of treatment and interference effects in observational studies on networks. arXiv preprint arXiv:1609.06245, 2016.10.1080/01621459.2020.1768100Suche in Google Scholar

19. Aronow, PM, Samii, C. Estimating average causal effects under general interference, with application to a social network experiment. Ann Appl Stat 2017;11:1912–47. https://doi.org/10.1214/16-aoas1005.Suche in Google Scholar

20. Ogburn, EL, VanderWeele, TJ. Vaccines, contagion, and social networks. Ann Appl Stat 2017;11:919–48. https://doi.org/10.1214/17-aoas1023.Suche in Google Scholar

21. Li, X, Ding, P, Lin, Q, Yang, D, Liu, JS. Randomization inference for peer effects. J Am Stat Assoc 2019;114:1651–64. https://doi.org/10.1080/01621459.2018.1512863.Suche in Google Scholar

22. Hansen, BB. The prognostic analogue of the propensity score. Biometrika 2008;95:481–8. https://doi.org/10.1093/biomet/asn004.Suche in Google Scholar

23. Hill, PW, Goldstein, H. Multilevel modeling of educational data with cross-classification and missing identification for units. J Educ Behav Stat 1998;23:117–28. https://doi.org/10.3102/10769986023002117.Suche in Google Scholar

24. Goldstein, H. Multilevel statistical models. Chichester, West Sussex, UK: Arnold; 2003.Suche in Google Scholar

25. Raudenbush, SW, Anthony, SB. Hierarchical linear models: applications and data analysis methods. Thousand Oaks, CA, USA: Sage; 2002, vol. 1.Suche in Google Scholar

26. Rubin, DB. Multiple imputation for nonresponse in surveys. Hoboken, NJ, USA: John Wiley & Sons; 2004, vol. 81.Suche in Google Scholar

27. Kennedy, EH. Semiparametric theory and empirical processes in causal inference. In: Statistical causal inferences and their applications in public health research. Cham, Switzerland: Springer; 2016:141–67 pp.10.1007/978-3-319-41259-7_8Suche in Google Scholar

28. Beck, AT, Steer, RA, Brown, GK. Manual for the Beck Depression Inventory-II. San Antonio, TX: Psychological Corporation; 1996.10.1037/t00742-000Suche in Google Scholar

Received: 2019-10-28
Accepted: 2021-07-20
Published Online: 2021-08-13

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