Skip to main content
Erschienen in: Prevention Science 2/2013

01.04.2013

Detecting Moderator Effects Using Subgroup Analyses

verfasst von: Rui Wang, James H. Ware

Erschienen in: Prevention Science | Ausgabe 2/2013

Einloggen, um Zugang zu erhalten

Abstract

In the analysis of prevention and intervention studies, it is often important to investigate whether treatment effects vary among subgroups of patients defined by individual characteristics. These “subgroup analyses” can provide information about how best to use a new prevention or intervention program. However, subgroup analyses can be misleading if they test data-driven hypotheses, employ inappropriate statistical methods, or fail to account for multiple testing. These problems have led to a general suspicion of findings from subgroup analyses. This article discusses sound methods for conducting subgroup analyses to detect moderators. Multiple authors have argued that, to assess whether a treatment effect varies across subgroups defined by patient characteristics, analyses should be based on tests for interaction rather than treatment comparisons within the subgroups. We discuss the concept of heterogeneity and its dependence on the metric used to describe treatment effects. We discuss issues of multiple comparisons related to subgroup analyses and the importance of considering multiplicity in the interpretation of results. We also discuss the types of questions that would lead to subgroup analyses and how different scientific goals may affect the study at the design stage. Finally, we discuss subgroup analyses based on post-baseline factors and the complexity associated with this type of subgroup analysis.
Literatur
Zurück zum Zitat Aguinis, H., & Gottfredson, R.K. (2010). Best-practice recommendations for estimating interaction effects using moderated multiple regression. Journal of Organizational Behavior, 31, 776–786. doi:10.1002/job.719.CrossRef Aguinis, H., & Gottfredson, R.K. (2010). Best-practice recommendations for estimating interaction effects using moderated multiple regression. Journal of Organizational Behavior, 31, 776–786. doi:10.​1002/​job.​719.CrossRef
Zurück zum Zitat Aiken, L.S., & West, S.G. (1991). Multiple regression: testing and interpreting interactions. Newbury Park, CA: Sage. Aiken, L.S., & West, S.G. (1991). Multiple regression: testing and interpreting interactions. Newbury Park, CA: Sage.
Zurück zum Zitat Altman, D.G., & Andersen, K. (1999). Calculating the number needed to treat for trials where the outcome is time to an event. British Medical Journal, 319, 1492–1495. Retrieved from http://www.bmj.com/.PubMedCrossRef Altman, D.G., & Andersen, K. (1999). Calculating the number needed to treat for trials where the outcome is time to an event. British Medical Journal, 319, 1492–1495. Retrieved from http://​www.​bmj.​com/​.​PubMedCrossRef
Zurück zum Zitat Altman, D.G., Schulz, K.F., Moher, D., Egger, M., Davidoff, F., Elbourne, D., ... Lang, T. (2001). The revised CONSORT statement for reporting randomized trials: Explanation and elaboration. Annals of Internal Medicine, 134, 663–694. Retrieved from http://www.annals.org/.PubMed Altman, D.G., Schulz, K.F., Moher, D., Egger, M., Davidoff, F., Elbourne, D., ... Lang, T. (2001). The revised CONSORT statement for reporting randomized trials: Explanation and elaboration. Annals of Internal Medicine, 134, 663–694. Retrieved from http://​www.​annals.​org/​.​PubMed
Zurück zum Zitat Baron, R.M., & Kenny, D.A. (1986). The moderator-mediator variable distinction in social psychological research: Conceptual, strategic, and statistical considerations. Journal of Personality and Social Psychology, 51, 1173–1182. doi:a0020761/0022-3514.51.6.1173.PubMedCrossRef Baron, R.M., & Kenny, D.A. (1986). The moderator-mediator variable distinction in social psychological research: Conceptual, strategic, and statistical considerations. Journal of Personality and Social Psychology, 51, 1173–1182. doi:a0020761/​0022-3514.​51.​6.​1173.PubMedCrossRef
Zurück zum Zitat Benjamini, Y., & Hochberg, Y. (1995). Controlling the false discovery rate: A practical and powerful approach to multiple testing. Journal of the Royal Statistical Society, Series B, 57, 289–300. Retrieved from http://www.wiley.com/bw/journal.asp?ref=1369-7412&site=1. Benjamini, Y., & Hochberg, Y. (1995). Controlling the false discovery rate: A practical and powerful approach to multiple testing. Journal of the Royal Statistical Society, Series B, 57, 289–300. Retrieved from http://​www.​wiley.​com/​bw/​journal.​asp?​ref=​1369-7412&​site=​1.​
Zurück zum Zitat Bombardier, C., Laine, L., Reicin, A., Shapiro, D., Burgos-Vargas, R., Davis, B., ...Schnitzer, T.J. (2000). Comparison of upper gastrointestinal toxicity of rofecoxib and naproxen in patients with rheumatoid arthritis. New England Journal of medicine, 343, 1520–1528. doi:10.1056/NEJM200011233432103.PubMedCrossRef Bombardier, C., Laine, L., Reicin, A., Shapiro, D., Burgos-Vargas, R., Davis, B., ...Schnitzer, T.J. (2000). Comparison of upper gastrointestinal toxicity of rofecoxib and naproxen in patients with rheumatoid arthritis. New England Journal of medicine, 343, 1520–1528. doi:10.​1056/​NEJM200011233432​103.PubMedCrossRef
Zurück zum Zitat Breiman, L., Friedman, J.H., Olshen, R.A., & Stone, C.J. (1998). Classification and regression trees. Boca Raton, FL: Chapman & Hall/CRC. Breiman, L., Friedman, J.H., Olshen, R.A., & Stone, C.J. (1998). Classification and regression trees. Boca Raton, FL: Chapman & Hall/CRC.
Zurück zum Zitat Byar, D.P., & Green, S. (1980). The choice of treatment for cancer patients based on covariate information: Application to prostate cancer. Bulletin du Cancer, 67, 477–490. Retrieved from http://www.john-libbey eurotext.fr/en/revues/medecine/bdc/sommaire.md.PubMed Byar, D.P., & Green, S. (1980). The choice of treatment for cancer patients based on covariate information: Application to prostate cancer. Bulletin du Cancer, 67, 477–490. Retrieved from http://​www.​john-libbey eurotext.fr/en/revues/medecine/bdc/sommaire.md.PubMed
Zurück zum Zitat Cai, T., Tian, L., Wong, P.H., & Wei, L.J. (2010). Analysis of randomized comparative clinical trial data for personalized treatment selections. Biostatistics, Advance online publication. doi: 10.1093/biostatistics/kxq060 Cai, T., Tian, L., Wong, P.H., & Wei, L.J. (2010). Analysis of randomized comparative clinical trial data for personalized treatment selections. Biostatistics, Advance online publication. doi: 10.​1093/​biostatistics/​kxq060
Zurück zum Zitat Collins, L.M. (2009). Design of experiments with multiple independent variables: A resource management perspective on complete and reduced factorial designs. Psychological Methods., 14, 202–224. doi:a0020761/a0015826.PubMedCrossRef Collins, L.M. (2009). Design of experiments with multiple independent variables: A resource management perspective on complete and reduced factorial designs. Psychological Methods., 14, 202–224. doi:a0020761/​a0015826.PubMedCrossRef
Zurück zum Zitat Cook, R.J., & Sackett, D.L. (1995). The number needed to treat: A clinically useful measure of treatment effect. BMJ, 310, 452–454. Retrieved from http://www.bmj.com/.PubMedCrossRef Cook, R.J., & Sackett, D.L. (1995). The number needed to treat: A clinically useful measure of treatment effect. BMJ, 310, 452–454. Retrieved from http://​www.​bmj.​com/​.​PubMedCrossRef
Zurück zum Zitat Curfman, G.D., Morrissey, S., & Drazen, J.M. (2005). Expression of concern: Bombardier et al., Comparison of upper gastrointestinal toxicity of rofecoxib and naproxen in patients with rheumatoid arthritis. N Engl J Med 2000;343:1520–8. New England Journal of Medicine, 353, 2813–14. doi: 10.1056/NEJMe058314 Curfman, G.D., Morrissey, S., & Drazen, J.M. (2005). Expression of concern: Bombardier et al., Comparison of upper gastrointestinal toxicity of rofecoxib and naproxen in patients with rheumatoid arthritis. N Engl J Med 2000;343:1520–8. New England Journal of Medicine, 353, 2813–14. doi: 10.​1056/​NEJMe058314
Zurück zum Zitat Gardner, F., Connell, A., Trentacosta, C.J., Shaw, D.S., Dishion, T.J., & Wilson, M.N. (2009). Moderators of Outcome in a Brief Family-Centered Intervention for Preventing Early Problem Behavior. Journal of Consulting and Clinical Psychology, 77, 543–553. doi:a0020761/a0015622.PubMedCrossRef Gardner, F., Connell, A., Trentacosta, C.J., Shaw, D.S., Dishion, T.J., & Wilson, M.N. (2009). Moderators of Outcome in a Brief Family-Centered Intervention for Preventing Early Problem Behavior. Journal of Consulting and Clinical Psychology, 77, 543–553. doi:a0020761/​a0015622.PubMedCrossRef
Zurück zum Zitat Halperin, M., Ware, J.H., Byar, D.P., Mantel, N., Brown, C.C., Koziol, J., ...Green, S.B. (1977). Testing for interaction in an I × J × K contingency table. Biometrika, 64, 271–275. doi:10.2307/2335693. Halperin, M., Ware, J.H., Byar, D.P., Mantel, N., Brown, C.C., Koziol, J., ...Green, S.B. (1977). Testing for interaction in an I × J × K contingency table. Biometrika, 64, 271–275. doi:10.​2307/​2335693.
Zurück zum Zitat Hastie, T., & Tibshirani, R. (1990). Generalised additive models. Boca Raton, FL: Chapman and Hall/CRC. Hastie, T., & Tibshirani, R. (1990). Generalised additive models. Boca Raton, FL: Chapman and Hall/CRC.
Zurück zum Zitat Holm, S. (1979). A simple sequential rejective multiple test procedure. Scandinavian Journal of Statistics, 6, 65–70. Retrieved from http://www.blackwellpublishing.com/journal.asp?ref=0303-6898. Holm, S. (1979). A simple sequential rejective multiple test procedure. Scandinavian Journal of Statistics, 6, 65–70. Retrieved from http://​www.​blackwellpublish​ing.​com/​journal.​asp?​ref=​0303-6898.​
Zurück zum Zitat Jackson, R.D., LaCroix, A.Z., Gass, M., Wallace, R.B., Robbins, J., Lewis, C.E., ...Barad, D. (2006). Calcium plus vitamin D supplementation and the risk of fractures. New England Journal of Medicine, 354, 669–683. doi:10.1056/NEJMoa055218 [Erratum, N Engl J Med 2006; 354:1102].PubMedCrossRef Jackson, R.D., LaCroix, A.Z., Gass, M., Wallace, R.B., Robbins, J., Lewis, C.E., ...Barad, D. (2006). Calcium plus vitamin D supplementation and the risk of fractures. New England Journal of Medicine, 354, 669–683. doi:10.​1056/​NEJMoa055218 [Erratum, N Engl J Med 2006; 354:1102].PubMedCrossRef
Zurück zum Zitat Julius, S., Nesbitt, S.D., Egan, B.M., Weber, M.A., Michelson, E.L., Kaciroti, N.,.... Schork, M.A. (2006). Feasibility of treating prehypertension with an angiotension-receptor blocker. New England Journal of Medicine, 354, 1685–1697. doi:10.1056/NEJMoa060838.PubMedCrossRef Julius, S., Nesbitt, S.D., Egan, B.M., Weber, M.A., Michelson, E.L., Kaciroti, N.,.... Schork, M.A. (2006). Feasibility of treating prehypertension with an angiotension-receptor blocker. New England Journal of Medicine, 354, 1685–1697. doi:10.​1056/​NEJMoa060838.PubMedCrossRef
Zurück zum Zitat Kent, D.M., & Hayward, R.A. (2007). Limitations of applying summary results of clinical trials to individual patients, the need for risk stratification. Journal of American Medical Association, 298, 1209–1212. doi:10.1001/jama.298.10.1209.CrossRef Kent, D.M., & Hayward, R.A. (2007). Limitations of applying summary results of clinical trials to individual patients, the need for risk stratification. Journal of American Medical Association, 298, 1209–1212. doi:10.​1001/​jama.​298.​10.​1209.CrossRef
Zurück zum Zitat Keppel, G., & Wickens, T.D. (2004). Design and analysis: A researcher’s handbook. Upper Saddle River, NJ: Pearson/Prentice Hall. Keppel, G., & Wickens, T.D. (2004). Design and analysis: A researcher’s handbook. Upper Saddle River, NJ: Pearson/Prentice Hall.
Zurück zum Zitat Koch, G.G., & Gansky, S.A. (1996). Statistical considerations for multiplicity in confirmatory protocols. Drug Information Journal, 30, 523–533. Retrieved from http://www.diahome.org/DIAHome/Resources/FindPublications.aspx.CrossRef Koch, G.G., & Gansky, S.A. (1996). Statistical considerations for multiplicity in confirmatory protocols. Drug Information Journal, 30, 523–533. Retrieved from http://​www.​diahome.​org/​DIAHome/​Resources/​FindPublications​.​aspx.​CrossRef
Zurück zum Zitat Kraemer, H.C., Kiernan, M., Essex, M., & Kupfer, D. J. (2008). How and why criteria defining moderators and mediators differ between the Baron & Kenny and the MacArthur approaches. Health Psychology, 27, S101–S108. Retrieved from http://www.apa.org/pubs/journals/hea/.PubMedCrossRef Kraemer, H.C., Kiernan, M., Essex, M., & Kupfer, D. J. (2008). How and why criteria defining moderators and mediators differ between the Baron & Kenny and the MacArthur approaches. Health Psychology, 27, S101–S108. Retrieved from http://​www.​apa.​org/​pubs/​journals/​hea/​.​PubMedCrossRef
Zurück zum Zitat Lemon, S.C., Roy, J., Clark, M.A., Friedmann, P.D., & Rakowski, W. (2003). Classification and regression tree analysis in public health: Methodological review and comparison with logistic regression. Annals of Behavioral Medicine, 26, 172–181. doi:10.1207/S15324796ABM2603_02.PubMedCrossRef Lemon, S.C., Roy, J., Clark, M.A., Friedmann, P.D., & Rakowski, W. (2003). Classification and regression tree analysis in public health: Methodological review and comparison with logistic regression. Annals of Behavioral Medicine, 26, 172–181. doi:10.​1207/​S15324796ABM2603​_​02.PubMedCrossRef
Zurück zum Zitat MacKinnon, D.P. (2008). Introduction to statistical mediation analysis. New York, NY: Taylor & Francis Group. MacKinnon, D.P. (2008). Introduction to statistical mediation analysis. New York, NY: Taylor & Francis Group.
Zurück zum Zitat Patel, K.M., & Hoel, D.G. (1973). A nonparametric test for interaction in factorial experiments. Journal of the American Statistical Association, 68, 615–620. doi:10.2307/2284788.CrossRef Patel, K.M., & Hoel, D.G. (1973). A nonparametric test for interaction in factorial experiments. Journal of the American Statistical Association, 68, 615–620. doi:10.​2307/​2284788.CrossRef
Zurück zum Zitat Pearl, J. (2001). Direct and indirect effects. Proceedings of the Seventeenth Conference on Uncertainty and Artificial Intelligence, 411–20. San Francisco: Morgan Kaufmann. Pearl, J. (2001). Direct and indirect effects. Proceedings of the Seventeenth Conference on Uncertainty and Artificial Intelligence, 411–20. San Francisco: Morgan Kaufmann.
Zurück zum Zitat Peto, R. (1982). Statistical aspects of cancer trials. In K. E. Halnan (Ed.), Treatment of Cancer (pp. 867–871). London: Chapman and Hall. Peto, R. (1982). Statistical aspects of cancer trials. In K. E. Halnan (Ed.), Treatment of Cancer (pp. 867–871). London: Chapman and Hall.
Zurück zum Zitat Rothman, K.J. (1986). Modern Epidemiology. Boston, MA: Little, Brown and Company. Rothman, K.J. (1986). Modern Epidemiology. Boston, MA: Little, Brown and Company.
Zurück zum Zitat Sacks, F.M., Pfeffer, M.A., Moye, L.A., Rouleau, J.L., Rutherford, J.D., Cole, T.G.,... Braunwald, E. (1996). The effect of Pravastatin on coronary events after Myocardial infarction in patients with average cholesterol levels. The New England Journal of Medicine, 335, 1001–1009. doi:10.1056/NEJM199610033351401.PubMedCrossRef Sacks, F.M., Pfeffer, M.A., Moye, L.A., Rouleau, J.L., Rutherford, J.D., Cole, T.G.,... Braunwald, E. (1996). The effect of Pravastatin on coronary events after Myocardial infarction in patients with average cholesterol levels. The New England Journal of Medicine, 335, 1001–1009. doi:10.​1056/​NEJM199610033351​401.PubMedCrossRef
Zurück zum Zitat Sleeper, L.A., & Harrington, D.P. (1990). Regression splines in the Cox model with application to covariate effects in liver disease. Journal of the American Statistical Association, 85, 941–949. doi:10.2307/2289591.CrossRef Sleeper, L.A., & Harrington, D.P. (1990). Regression splines in the Cox model with application to covariate effects in liver disease. Journal of the American Statistical Association, 85, 941–949. doi:10.​2307/​2289591.CrossRef
Zurück zum Zitat Van den Berghe, G., Wilmer, A., Hermans, G., Meersseman, W., Wouters, P.J., Milants, L., ... Bouillon, R. (2006). Intensive Insulin Therapy in the Medical ICU. New England Journal of Medicine, 354, 449–461. doi:10.1056/NEJMoa052521.PubMedCrossRef Van den Berghe, G., Wilmer, A., Hermans, G., Meersseman, W., Wouters, P.J., Milants, L., ... Bouillon, R. (2006). Intensive Insulin Therapy in the Medical ICU. New England Journal of Medicine, 354, 449–461. doi:10.​1056/​NEJMoa052521.PubMedCrossRef
Zurück zum Zitat VanderWeele, T.J., & Knol, M.J. (2011). The interpretation of subgroup analyses in randomized trials: Heterogeneity versus secondary interventions. Annals of Internal Medicine, in press. VanderWeele, T.J., & Knol, M.J. (2011). The interpretation of subgroup analyses in randomized trials: Heterogeneity versus secondary interventions. Annals of Internal Medicine, in press.
Zurück zum Zitat VanderWeele, T.J., & Vansteelandt, S. (2009). Conceptual issues concerning mediation, interventions and composition. Statistics and Its Interface, 2, 457–468. Retrieved from http://www.intlpress.com/SII/. VanderWeele, T.J., & Vansteelandt, S. (2009). Conceptual issues concerning mediation, interventions and composition. Statistics and Its Interface, 2, 457–468. Retrieved from http://​www.​intlpress.​com/​SII/​.​
Zurück zum Zitat Wactawski-Wende, J., Kotchen, J.M., Anderson, G.L., Assaf, A.R., Brunner, R.L., O’Sullivan, M.J., ... Manson, E. (2006). Calcium plus vitamin D supplementation and the risk of colorectal cancer. New England Journal of Medicine, 354, 684–696. doi:10.1056/NEJMoa055222.PubMedCrossRef Wactawski-Wende, J., Kotchen, J.M., Anderson, G.L., Assaf, A.R., Brunner, R.L., O’Sullivan, M.J., ... Manson, E. (2006). Calcium plus vitamin D supplementation and the risk of colorectal cancer. New England Journal of Medicine, 354, 684–696. doi:10.​1056/​NEJMoa055222.PubMedCrossRef
Zurück zum Zitat Wang, R., Lagakos, S.W., Ware, H., Hunter, D.J., & Drazen, J.M. (2007). Statistics in medicine—reporting of subgroup analyses in clinical trials. New England Journal of Medicine, 357, 2189–2194. doi:10.1056/NEJMsr077003.PubMedCrossRef Wang, R., Lagakos, S.W., Ware, H., Hunter, D.J., & Drazen, J.M. (2007). Statistics in medicine—reporting of subgroup analyses in clinical trials. New England Journal of Medicine, 357, 2189–2194. doi:10.​1056/​NEJMsr077003.PubMedCrossRef
Zurück zum Zitat Wen, L., Badgett, R., & Cornell, J. (2005). Number needed to treat: A descriptor for weighing therapeutic options. American Journal of Health-System Pharmacology, 62, 2031–2036. doi:10.2146/ajhp040558.CrossRef Wen, L., Badgett, R., & Cornell, J. (2005). Number needed to treat: A descriptor for weighing therapeutic options. American Journal of Health-System Pharmacology, 62, 2031–2036. doi:10.​2146/​ajhp040558.CrossRef
Metadaten
Titel
Detecting Moderator Effects Using Subgroup Analyses
verfasst von
Rui Wang
James H. Ware
Publikationsdatum
01.04.2013
Verlag
Springer US
Erschienen in
Prevention Science / Ausgabe 2/2013
Print ISSN: 1389-4986
Elektronische ISSN: 1573-6695
DOI
https://doi.org/10.1007/s11121-011-0221-x

Weitere Artikel der Ausgabe 2/2013

Prevention Science 2/2013 Zur Ausgabe