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Optimal Design and Purposeful Sampling: Complementary Methodologies for Implementation Research

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Abstract

Optimal design has been an under-utilized methodology. However, it has significant real-world applications, particularly in mixed methods implementation research. We review the concept and demonstrate how it can be used to assess the sensitivity of design decisions and balance competing needs. For observational studies, this methodology enables selection of the most informative study units. For experimental studies, it entails selecting and assigning study units to intervention conditions in the most informative manner. We blend optimal design methods with purposeful sampling to show how these two concepts balance competing needs when there are multiple study aims, a common situation in implementation research.

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References

  • Bellhouse, D. R. (1984). A review of optimal designs in survey sampling. The Canadian Journal of Statistics., 12, 53–65.

    Article  Google Scholar 

  • Berger, M. P. F., & Wong, W.-K. (Eds.). (2005). Applied optimal designs. New York: Wiley.

    Google Scholar 

  • Bhaumik, D. K. (1993). On optimal block designs in the presence of a linear trend. Sankhya Series B, 55(1), 91–102.

    Google Scholar 

  • Bhaumik, D. K. (1995). Majorization and D-optimality under the nearest neighbor correlation model. Journal of the Royal Statistical Society Series B, 57(1), 139–143.

    Google Scholar 

  • Bhaumik, D. K., & Whittinghill, D. C. (1991). Optimality and robustness to the unavailability of blocks in block designs. Journal of the Royal Statistical Society B, 53(2), 399–407.

    Google Scholar 

  • Goos, P., & Jones, B. (2011). Optimal design of experiments: A case study approach. New York: Wiley.

    Book  Google Scholar 

  • Groves, R. M., & Lyberg, L. (2010). Total survey error: Past, present, and future. Public Opinion Quarterly, 74(5), 849–879.

    Article  Google Scholar 

  • Heiberger, R. M., Bhaumik, D. K., & Holland, B. (1993). Optimal data augmentation strategies for additive models. Journal of the American Statistical Association, 88(423), 926–938.

    Article  Google Scholar 

  • Kiefer, J. (1959). Optimum experimental designs (with discussions). Journal of the Royal Statistical Society, Series B (Methodology), 21, 272–319.

    Google Scholar 

  • Liski, E. P., Mandal, N. K., Shah, K. R., & Sinha, B. K. (2002). Topics in optimal design. New York: Springer.

    Book  Google Scholar 

  • Murray, D. M., Varnell, S. P., & Blitstein, J. L. (2004). Design, analysis of group-randomized trials: A review of recent methodological developments. American Journal of Public Health, 94(3), 423–432.

    Article  PubMed Central  PubMed  Google Scholar 

  • Palinkas, L. A., Horwitz, S. M., Green, C. A., Wisdom, J. P., Duan, N., & Hoagwood, K. (2013). Purposeful sampling for qualitative data collection and analysis in mixed method implementation research. Administration and Policy in Mental Health. doi:10.1007/s10488-013-0528-y.

  • Patton, M. Q. (2002). Qualitative research and evaluation methods (3rd ed.). Thousand Oaks: Sage.

    Google Scholar 

  • Raudenbush, S. W. (1997). Statistical analysis and optimal design for cluster-randomized trials. Psychological Methods, 2, 173–185.

    Article  Google Scholar 

  • Raudenbush, S. W., & Liu, X. (2000). Statistical power and optimal design for multisite randomized trials. Psychological Methods, 5(2), 199–213.

    Article  CAS  PubMed  Google Scholar 

  • Raudenbush, S. W., Spybrook, J., Congdon, R., Liu, X., Martinez, A., Bloom, H., & Hill, C. (2011). Optimal design plus empirical evidence (Version 3.0). http://wtgrantfoundation.org/FocusAreas#tools-for-group-randomized-trials. Accessed 25 Oct 2014

  • Shah, K. R., & Sinha, B. K. (1989). Theory of optimal designs. New York: Springer.

    Book  Google Scholar 

  • Shirakura, T., & Tong, W.-P. (1996). Weighted A-optimality for fractional 2 m factorial designs of resolution V. Journal of Statistical Planning and inference, 56, 243–256.

    Article  Google Scholar 

  • Spybrook, J., Bloom, H., Congdon, R., Hill, C., Martinez, A., & Raudenbush, S. W. (2011). Optimal design plus empirical evidence: Documentation for the “Optimal Design” software Version 3.0. http://wtgrantfoundation.org/FocusAreas#tools-for-group-randomized-trials. Accessed 25 Oct 2014

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Acknowledgments

Drs. Duan, Hoagwood, and Palinkas were funded through a Grant from the National Institute of Mental Health (P30-MH090322:K. Hoagwood, PI). The authors appreciate helpful comments from two anonymous reviewers.

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Correspondence to Naihua Duan.

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Duan, N., Bhaumik, D.K., Palinkas, L.A. et al. Optimal Design and Purposeful Sampling: Complementary Methodologies for Implementation Research. Adm Policy Ment Health 42, 524–532 (2015). https://doi.org/10.1007/s10488-014-0596-7

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  • DOI: https://doi.org/10.1007/s10488-014-0596-7

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