Allocation techniques for balance at baseline in cluster randomized trials: a methodological review

Noah M Ivers, Ilana J Halperin, Jan Barnsley, Jeremy M Grimshaw, Baiju R Shah, Karen Tu, Ross Upshur, Merrick Zwarenstein, Noah M Ivers, Ilana J Halperin, Jan Barnsley, Jeremy M Grimshaw, Baiju R Shah, Karen Tu, Ross Upshur, Merrick Zwarenstein

Abstract

Reviews have repeatedly noted important methodological issues in the conduct and reporting of cluster randomized controlled trials (C-RCTs). These reviews usually focus on whether the intracluster correlation was explicitly considered in the design and analysis of the C-RCT. However, another important aspect requiring special attention in C-RCTs is the risk for imbalance of covariates at baseline. Imbalance of important covariates at baseline decreases statistical power and precision of the results. Imbalance also reduces face validity and credibility of the trial results. The risk of imbalance is elevated in C-RCTs compared to trials randomizing individuals because of the difficulties in recruiting clusters and the nested nature of correlated patient-level data. A variety of restricted randomization methods have been proposed as way to minimize risk of imbalance. However, there is little guidance regarding how to best restrict randomization for any given C-RCT. The advantages and limitations of different allocation techniques, including stratification, matching, minimization, and covariate-constrained randomization are reviewed as they pertain to C-RCTs to provide investigators with guidance for choosing the best allocation technique for their trial.

Figures

Figure 1
Figure 1
Questions to ask and potential answers when trialists and statisticians work together to consider allocation techniques for balancing covariates in cluster-trials.aOne would expect that in most trials access to some relevant data would become accessible immediately after recruitment and prior to allocation. bOnly use matching if confident in ability to achieve a good match

References

    1. Donner A, Klar N. Design and Analysis of Cluster Randomization Trials in Health Research. New York, NY: Oxford University Press; 2000.
    1. Murray DM, Pals SL, Blitstein JL, Alfano CM, Lehman J. Design and analysis of group-randomized trials in cancer: a review of current practices. J Natl Cancer Inst. 2008;100:483–491. doi: 10.1093/jnci/djn066.
    1. Varnell SP, Murray DM, Janega JB, Blitstein JL. Design and analysis of group-randomized trials: a review of recent practices. Am J Public Health. 2004;94:393–399. doi: 10.2105/AJPH.94.3.393.
    1. Ivers NM, Taljaard M, Dixon S, Bennett C, McRae A, Taleban J, Skea Z, Brehaut JC, Boruch RF, Eccles MP, Grimshaw JM, Weijer C, Zwarenstein M, Donner A. Impact of CONSORT extension for cluster randomised trials on quality of reporting and study methodology: review of random sample of 300 trials, 2000–8. BMJ. 2011;343:d5886. doi: 10.1136/bmj.d5886.
    1. Eldridge SM, Ashby D, Feder GS, Rudnicka AR, Ukoumunne OC. Lessons for cluster randomized trials in the twenty-first century: a systematic review of trials in primary care. Clin Trials. 2004;1:80–90. doi: 10.1191/1740774504cn006rr.
    1. Eldridge S, Ashby D, Bennett C, Wakelin M, Feder G. Internal and external validity of cluster randomised trials: systematic review of recent trials. BMJ. 2008;336:876–880. doi: 10.1136/bmj.39517.495764.25.
    1. Campbell MK, Elbourne DR, Altman DG. CONSORT group: CONSORT statement: extension to cluster randomised trials. BMJ. 2004;328:702–708. doi: 10.1136/bmj.328.7441.702.
    1. Rosenberger WF. Randomization in clinical trials. New York, NY: Wiley; 2002.
    1. Kalish LA, Begg CB. Treatment allocation methods in clinical trials: A review. Statist Med. 1985;4:129–144. doi: 10.1002/sim.4780040204.
    1. Atkinson AC. The comparison of designs for sequential clinical trials with covariate information. Journal of the Royal Statistical Society: Series A (Statistics in Society) 2002;165:349–373. doi: 10.1111/1467-985X.00564.
    1. Heritier S, Gebski V, Pillai A. Dynamic balancing randomization in controlled clinical trials. Stat Med. 2005;24:3729–3741. doi: 10.1002/sim.2421.
    1. Roozenbeek B, Maas AI, Lingsma HF, Butcher I, Lu J, Marmarou A, McHugh GS, Weir J, Murray GD, Steyerberg EW. IMPACT Study Group: Baseline characteristics and statistical power in randomized controlled trials: selection, prognostic targeting, or covariate adjustment? Crit Care Med. 2009;37:2683–2690. doi: 10.1097/CCM.0b013e3181ab85ec.
    1. Senn S. Testing for baseline balance in clinical trials. Stat Med. 1994;13:1715–1726. doi: 10.1002/sim.4780131703.
    1. Flynn TN, Whitley E, Peters TJ. Recruitment strategies in a cluster randomized trial-cost implications. Stat Med. 2002;21:397–405. doi: 10.1002/sim.1025.
    1. Carter B. Cluster size variability and imbalance in cluster randomized controlled trials. Stat Med. 2010;29:2984–2993. doi: 10.1002/sim.4050.
    1. Kerry SM, Bland JM. Unequal cluster sizes for trials in English and Welsh general practice: implications for sample size calculations. Stat Med. 2001;20:377–390. doi: 10.1002/1097-0258(20010215)20:3<377::AID-SIM799>;2-N.
    1. Guittet L, Ravaud P, Giraudeau B. Planning a cluster randomized trial with unequal cluster sizes: practical issues involving continuous outcomes. BMC Med Res Methodol. 2006;6:17. doi: 10.1186/1471-2288-6-17.
    1. Gattellari M, Leung DY, Ukoumunne OC, Zwar N, Grimshaw J, Worthington JM. Study protocol: the DESPATCH study: Delivering stroke prevention for patients with atrial fibrillation - a cluster randomised controlled trial in primary healthcare. Implement Sci. 2011;6:48. doi: 10.1186/1748-5908-6-48.
    1. Kerry SM, Cappuccio FP, Emmett L, Plange-Rhule J, Eastwood JB. Reducing selection bias in a cluster randomized trial in West African villages. Clin Trials. 2005;2:125–129. doi: 10.1191/1740774505cn074oa.
    1. Raab GM, Butcher I. Balance in cluster randomized trials. Stat Med. 2001;20:351–365. doi: 10.1002/1097-0258(20010215)20:3<351::AID-SIM797>;2-C.
    1. Altman DG, Dore CJ. Randomisation and baseline comparisons in clinical trials. Lancet. 1990;335:149–153. doi: 10.1016/0140-6736(90)90014-V.
    1. Donner A, Klar N. Methods for comparing event rates in intervention studies when the unit of allocation is a cluster. Am J Epidemiol. 1994;140:279–289. discussion 300–301.
    1. Solomon DH, Polinski JM, Stedman M, Truppo C, Breiner L, Egan C, Jan S, Patel M, Weiss TW, Chen YT, Brookhart MA. Improving care of patients at-risk for osteoporosis: a randomized controlled trial. J Gen Intern Med. 2007;22:362–367.
    1. Glynn RJ, Brookhart MA, Stedman M, Avorn J, Solomon DH. Design of cluster-randomized trials of quality improvement interventions aimed at medical care providers. Med Care. 2007;Suppl 2:38–43.
    1. Puffer S, Torgerson D, Watson J. Evidence for risk of bias in cluster randomised trials: review of recent trials published in three general medical journals. BMJ. 2003;327:785–789. doi: 10.1136/bmj.327.7418.785.
    1. Shah S, Peat JK, Mazurski EJ, Wang H, Sindhusake D, Bruce C, Henry RL, Gibson PG. Effect of peer led programme for asthma education in adolescents: cluster randomised controlled trial. BMJ. 2001;322:583–585. doi: 10.1136/bmj.322.7286.583.
    1. Chapman S, Cornwall J, Righetti J, Sung L. Preventing dog bites in children: randomised controlled trial of an educational intervention. BMJ. 2000;320:1512–1513. doi: 10.1136/bmj.320.7248.1512.
    1. Carman WF, Elder AG, Wallace LA, McAulay K, Walker A, Murray GD, Stott DJ. Effects of influenza vaccination of health-care workers on mortality of elderly people in long-term care: a randomised controlled trial. Lancet. 2000;355:93–97. doi: 10.1016/S0140-6736(99)05190-9.
    1. Campbell MJ, Donner A, Klar N. Developments in cluster randomized trials and Statistics in Medicine. Stat Med. 2007;26:2–19. doi: 10.1002/sim.2731.
    1. Donner A, Klar N. Pitfalls of and controversies in cluster randomization trials. Am J Public Health. 2004;94:416–422. doi: 10.2105/AJPH.94.3.416.
    1. Martin DC, Diehr P, Perrin EB, Koepsell TD. The effect of matching on the power of randomized community intervention studies. Stat Med. 1993;12:329–338. doi: 10.1002/sim.4780120315.
    1. Grosskurth H, Mosha F, Todd J, Mwijarubi E, Klokke A, Senkoro K, Mayaud P, Changalucha J, Nicoll A, ka-Gina G. Impact of improved treatment of sexually transmitted diseases on HIV infection in rural Tanzania: randomised controlled trial. Lancet. 1995;346:530–536. doi: 10.1016/S0140-6736(95)91380-7.
    1. Lang E, Afilalo M, Vandal AC, Boivin JF, Xue X, Colacone A, Leger R, Shrier I, Rosenthal S. Impact of an electronic link between the emergency department and family physicians: a randomized controlled trial. CMAJ. 2006;174:313–318. doi: 10.1503/cmaj.050698.
    1. Griffiths C, Foster G, Barnes N, Eldridge S, Tate H, Begum S, Wiggins M, Dawson C, Livingstone AE, Chambers M, Coats T, Harris R, Feder GS. Specialist nurse intervention to reduce unscheduled asthma care in a deprived multiethnic area: the east London randomised controlled trial for high risk asthma (ELECTRA) BMJ. 2004;328:144. doi: 10.1136/.
    1. Althabe F, Buekens P, Bergel E, Belizan JM, Campbell MK, Moss N, Hartwell T, Wright LL. Guidelines Trial Group: A behavioral intervention to improve obstetrical care. N Engl J Med. 2008;358:1929–1940. doi: 10.1056/NEJMsa071456.
    1. Campbell MJ. Cluster randomized trials in general (family) practice research. Stat Methods Med Res. 2000;9:81–94. doi: 10.1191/096228000676246354.
    1. Klar N, Donner A. The merits of matching in community intervention trials: a cautionary tale. Stat Med. 1997;16:1753–1764. doi: 10.1002/(SICI)1097-0258(19970815)16:15<1753::AID-SIM597>;2-E.
    1. Raudenbush SW, Martinez A, Spybrook J. Strategies for Improving Precision in Group-Randomized Experiments. Educational Evaluation and Policy Analysis. 2007;29:5–29. doi: 10.3102/0162373707299460.
    1. Donner A, Taljaard M, Klar N. The merits of breaking the matches: a cautionary tale. Statist Med. 2007;26:2036–2051. doi: 10.1002/sim.2662.
    1. Foy R, Penney GC, Grimshaw JM, Ramsay CR, Walker AE, MacLennan G, Stearns SC, McKenzie L, Glasier A. A randomised controlled trial of a tailored multifaceted strategy to promote implementation of a clinical guideline on induced abortion care. BJOG. 2004;111:726–733. doi: 10.1111/j.1471-0528.2004.00168.x.
    1. Pocock SJ, Simon R. Sequential treatment assignment with balancing for prognostic factors in the controlled clinical trial. Biometrics. 1975;31:103–115. doi: 10.2307/2529712.
    1. Kernan WN, Viscoli CM, Makuch RW, Brass LM, Horwitz RI. Stratified randomization for clinical trials. J Clin Epidemiol. 1999;52:19–26. doi: 10.1016/S0895-4356(98)00138-3.
    1. Therneau TM. How many stratification factors are “too many” to use in a randomization plan? Control. Clin Trials. 1993;14:98–108. doi: 10.1016/0197-2456(93)90013-4.
    1. Feder G, Davies RA, Baird K, Dunne D, Eldridge S, Griffiths C, Gregory A, Howell A, Johnson M, Ramsay J, Rutterford C, Sharp D. Identification and Referral to Improve Safety (IRIS) of women experiencing domestic violence with a primary care training and support programme: a cluster randomised controlled trial. Lancet. 2011;378:1788–1795. doi: 10.1016/S0140-6736(11)61179-3.
    1. Taves DR. Minimization: a new method of assigning patients to treatment and control groups. Clin Pharmacol Ther. 1974;15:443–453.
    1. Scott NW, McPherson GC, Ramsay CR, Campbell MK. The method of minimization for allocation to clinical trials: a review. Control Clin Trials. 2002;23:662–674. doi: 10.1016/S0197-2456(02)00242-8.
    1. Wade A, Pan H, Eaton S, Pierro A, Ong E. An investigation of minimisation criteria. BMC Med Res Methodol. 2006;6:11. doi: 10.1186/1471-2288-6-11.
    1. Taves DR. The use of minimization in clinical trials. Contemp Clin Trials. 2010;31:180–184. doi: 10.1016/j.cct.2009.12.005.
    1. Treasure T, MacRae KD. Minimisation: the platinum standard for trials? Randomisation doesn’t guarantee similarity of groups; minimisation does. BMJ. 1998;317:362–363. doi: 10.1136/bmj.317.7155.362.
    1. Committee for Proprietary Medicinal Products (CPMP) Committee for Proprietary Medicinal Products (CPMP): points to consider on adjustment for baseline covariates. Stat Med. 2004;23:701–709.
    1. Berger VW. Minimization, by its nature, precludes allocation concealment, and invites selection bias. Contemp Clin Trials. 2010;31:406. doi: 10.1016/j.cct.2010.05.001.
    1. Taves DR. Minimization does not by its nature preclude allocation concealment and invite selection bias, as Berger claims. Contemp Clin Trials. 2011;32:323. doi: 10.1016/j.cct.2010.12.010.
    1. Efron B. Forcing a sequential experiment to be balanced. Biometrika. 1971;58:403–417. doi: 10.1093/biomet/58.3.403.
    1. Stigsby B, Taves DR. Rank-Minimization for balanced assignment of subjects in clinical trials. Contemp Clin Trials. 2010;31:147–150. doi: 10.1016/j.cct.2009.12.001.
    1. Hofmeijer J, Anema PC, van der Tweel I. New algorithm for treatment allocation reduced selection bias and loss of power in small trials. J Clin Epidemiol. 2008;61:119–124. doi: 10.1016/j.jclinepi.2007.04.002.
    1. Han B, Enas NH, McEntegart D. Randomization by minimization for unbalanced treatment allocation. Stat Med. 2009;28:3329–3346. doi: 10.1002/sim.3710.
    1. Begg CB, Iglewicz B. A treatment allocation procedure for sequential clinical trials. Biometrics. 1980;36:81–90. doi: 10.2307/2530497.
    1. Atkinson AC. Optimum biased-coin designs for sequential treatment allocation with covariate information. Stat Med. 1999;18:1741–1752. doi: 10.1002/(SICI)1097-0258(19990730)18:14<1741::AID-SIM210>;2-F. discussion 1753–1755.
    1. Senn S, Anisimov VV, Fedorov VV. Comparisons of minimization and Atkinson's algorithm. Stat Med. 2010;29:721–730. doi: 10.1002/sim.3763.
    1. Aickin M. Randomization, balance, and the validity and efficiency of design-adaptive allocation methods. Journal of Statistical Planning and Inference. 2001;94:97–119. doi: 10.1016/S0378-3758(00)00228-7.
    1. Rosenberger WF, Sverdlov O. Handling Covariates in the Design of Clinical Trials. Stat Sci. 2008;23:404–419. doi: 10.1214/08-STS269.
    1. Ivers NM, Tu K, Francis J, Barnsley J, Shah B, Upshur R, Kiss A, Grimshaw JM, Zwarenstein M. Feedback GAP: study protocol for a cluster-randomized trial of goal setting and action plans to increase the effectiveness of audit and feedback interventions in primary care. Implement Sci. 2010;5:98. doi: 10.1186/1748-5908-5-98.
    1. Minim: allocation by minimisation in clinical trials by Stephen Evans, Patrick Royston and Simon Day. .
    1. Moulton LH. Covariate-based constrained randomization of group-randomized trials. Clin Trials. 2004;1:297–305. doi: 10.1191/1740774504cn024oa.
    1. Perry M, Faes M, Reelick MF, Olde Rikkert MG, Borm GF. Studywise minimization: A treatment allocation method that improves balance among treatment groups and makes allocation unpredictable. J Clin Epidemiol. 2010;63:1118–1122. doi: 10.1016/j.jclinepi.2009.11.014.
    1. Xiao L, Lavori PW, Wilson SR, Ma J. Comparison of dynamic block randomization and minimization in randomized trials: a simulation study. Clin Trials. 2011;8:59–69. doi: 10.1177/1740774510391683.
    1. Carter BR, Hood K. Balance algorithm for cluster randomized trials. BMC Med Res Methodol. 2008;8:65. doi: 10.1186/1471-2288-8-65.
    1. Chaudhary MA, Moulton LH. A SAS macro for constrained randomization of group-randomized designs. Comput Methods Programs Biomed. 2006;83:205–210. doi: 10.1016/j.cmpb.2006.04.011.
    1. Sismanidis C, Moulton LH, Ayles H, Fielding K, Schaap A, Beyers N, Bond G, Godfrey-Faussett P, Hayes R. Restricted randomization of ZAMSTAR: a 2 x 2 factorial cluster randomized trial. Clin Trials. 2008;5:316–327. doi: 10.1177/1740774508094747.
    1. Berger VW. A review of methods for ensuring the comparability of comparison groups in randomized clinical trials. Rev Recent Clin Trials. 2006;1:81–86. doi: 10.2174/157488706775246139.
    1. Comparative Obstetric Mobile Epidural Trial (COMET) Study Group UK. Effect of low-dose mobile versus traditional epidural techniques on mode of delivery: a randomised controlled trial. Lancet. 2001;358:19–23.

Source: PubMed

3
Se inscrever