International Journal of Epidemiology, Vol 28, 319-326, Copyright © 1999 by International Epidemiological Association
RJ Hayes and S Bennett
BACKGROUND: Cluster-randomized trials, in which health interventions are
allocated randomly to intact clusters or communities rather than to
individual subjects, are increasingly being used to evaluate disease
control strategies both in industrialized and in developing countries.
Sample size computations for such trials need to take into account
between-cluster variation, but field epidemiologists find it difficult to
obtain simple guidance on such procedures. METHODS: In this paper, we
provide simple formulae for sample size determination for both unmatched
and pair-matched trials. Outcomes considered include rates per person-year,
proportions and means. For simplicity, formulae are expressed in terms of
the coefficient of variation (SD/mean) of cluster rates, proportions or
means. Guidance is also given on the estimation of this value, with or
without the use of prior data on between-cluster variation. CASE STUDIES:
The methods are illustrated using two case studies: an unmatched trial of
the impact of impregnated bednets on child mortality in Kenya, and a
pair-matched trial of improved sexually- transmitted disease (STD)
treatment services for HIV prevention in Tanzania.
ARTICLES
Simple sample size calculation for cluster-randomized trials
MRC Tropical Epidemiology Group, London School of Hygiene and Tropical Medicine, UK.
![]()
CiteULike
Connotea
Del.icio.us What's this?
This article has been cited by other articles:
![]() |
M. Noordzij, G. Tripepi, F. W Dekker, C. Zoccali, M. W Tanck, and K. J Jager Sample size calculations: basic principles and common pitfalls Nephrol. Dial. Transplant., January 12, 2010; (2010) gfp732v1. [Abstract] [Full Text] [PDF] |
||||
![]() |
D. Sur, R. L. Ochiai, S. K. Bhattacharya, N. K. Ganguly, M. Ali, B. Manna, S. Dutta, A. Donner, S. Kanungo, J. K. Park, et al. A Cluster-Randomized Effectiveness Trial of Vi Typhoid Vaccine in India N. Engl. J. Med., July 23, 2009; 361(4): 335 - 344. [Abstract] [Full Text] [PDF] |
||||
![]() |
K. Hanson, T. Marchant, R. Nathan, H. Mponda, C. Jones, J. Bruce, H. Mshinda, and J. A. Schellenberg Household ownership and use of insecticide treated nets among target groups after implementation of a national voucher programme in the United Republic of Tanzania: plausibility study using three annual cross sectional household surveys BMJ, July 2, 2009; 339(jul02_1): b2434 - b2434. [Abstract] [Full Text] [PDF] |
||||
![]() |
V Vanlerberghe, M E Toledo, M Rodriguez, D Gomez, A Baly, J R Benitez, and P Van der Stuyft Community involvement in dengue vector control: cluster randomised trial BMJ, June 9, 2009; 338(jun09_1): b1959 - b1959. [Abstract] [Full Text] [PDF] |
||||
![]() |
D Kendrick, S Smith, A J Sutton, C Mulvaney, M Watson, C Coupland, and A Mason-Jones The effect of education and home safety equipment on childhood thermal injury prevention: meta-analysis and meta-regression Inj. Prev., June 1, 2009; 15(3): 197 - 204. [Abstract] [Full Text] [PDF] |
||||
![]() |
R. Sankaranarayanan, B. M. Nene, S. S. Shastri, K. Jayant, R. Muwonge, A. M. Budukh, S. Hingmire, S. G. Malvi, R. Thorat, A. Kothari, et al. HPV Screening for Cervical Cancer in Rural India N. Engl. J. Med., April 2, 2009; 360(14): 1385 - 1394. [Abstract] [Full Text] [PDF] |
||||
![]() |
P. Kelly, M. Katubulushi, J. Todd, R. Banda, V. Yambayamba, M. Fwoloshi, I. Zulu, E. Kafwembe, F. Yavwa, I. R Sanderson, et al. Micronutrient supplementation has limited effects on intestinal infectious disease and mortality in a Zambian population of mixed HIV status: a cluster randomized trial Am. J. Clinical Nutrition, October 1, 2008; 88(4): 1010 - 1017. [Abstract] [Full Text] [PDF] |
||||
![]() |
R. Jewkes, M Nduna, J Levin, N Jama, K Dunkle, A Puren, and N Duvvury Impact of Stepping Stones on incidence of HIV and HSV-2 and sexual behaviour in rural South Africa: cluster randomised controlled trial BMJ, August 7, 2008; 337(aug07_1): a506 - a506. [Abstract] [Full Text] [PDF] |
||||
![]() |
C. Sismanidis, L. H Moulton, H. Ayles, K. Fielding, A. Schaap, N. Beyers, G. Bond, P. Godfrey-Faussett, and R. Hayes Restricted randomization of ZAMSTAR: a 2 x 2 factorial cluster randomized trial Clinical Trials, August 1, 2008; 5(4): 316 - 327. [Abstract] [PDF] |
||||
![]() |
D Kendrick, S Smith, A Sutton, M Watson, C Coupland, C Mulvaney, and A Mason-Jones Effect of education and safety equipment on poisoning-prevention practices and poisoning: systematic review, meta-analysis and meta-regression Arch. Dis. Child., July 1, 2008; 93(7): 599 - 608. [Abstract] [Full Text] [PDF] |
||||
![]() |
T. Hallett, G. Garnett, Z Mupamberiyi, and S Gregson Measuring effectiveness in community randomized trials of HIV prevention Int. J. Epidemiol., February 1, 2008; 37(1): 77 - 87. [Abstract] [Full Text] [PDF] |
||||
![]() |
N Hill, A Lenglet, A M Arnez, and I Carneiro Plant based insect repellent and insecticide treated bed nets to protect against malaria in areas of early evening biting vectors: double blind randomised placebo controlled clinical trial in the Bolivian Amazon BMJ, November 17, 2007; 335(7628): 1023 - 1023. [Abstract] [Full Text] [PDF] |
||||
![]() |
B. Roudsari, R. Fowler, and A. Nathens Intracluster correlation coefficient in multicenter childhood trauma studies Inj. Prev., October 1, 2007; 13(5): 344 - 347. [Abstract] [Full Text] [PDF] |
||||
![]() |
M K. Ranson, T. Sinha, M. Chatterjee, F. Gandhi, R. Jayswal, F. Patel, S. S Morris, and A. J Mills Equitable utilisation of Indian community based health insurance scheme among its rural membership: cluster randomised controlled trial BMJ, June 23, 2007; 334(7607): 1309 - 1309. [Abstract] [Full Text] [PDF] |
||||
![]() |
L. H. Moulton, J. E. Golub, B. Durovni, S. C. Cavalcante, A. G. Pacheco, V. Saraceni, B. King, and R. E. Chaisson Statistical design of THRio: a phased implementation clinic-randomized study of a tuberculosis preventive therapy intervention Clinical Trials, April 1, 2007; 4(2): 190 - 199. [Abstract] [PDF] |
||||
![]() |
J. L Varma, S. Das, R. Sankar, M. G V. Mannar, F J. Levinson, and D. H Hamer Community-level micronutrient fortification of a food supplement in India: a controlled trial in preschool children aged 36-66 mo Am. J. Clinical Nutrition, April 1, 2007; 85(4): 1127 - 1133. [Abstract] [Full Text] [PDF] |
||||
![]() |
D. A. DIALLO, C. SUTHERLAND, I. NEBIE, A. T. KONATE, R. ORD, H. POTA, C. ROPER, E. ILBOUDO-SANOGO, B. M. GREENWOOD, and S. N. COUSENS SUSTAINED USE OF INSECTICIDE-TREATED CURTAINS IS NOT ASSOCIATED WITH GREATER CIRCULATION OF DRUG-RESISTANT MALARIA PARASITES, OR WITH HIGHER RISK OF TREATMENT FAILURE AMONG CHILDREN WITH UNCOMPLICATED MALARIA IN BURKINA FASO Am J Trop Med Hyg, February 1, 2007; 76(2): 237 - 244. [Abstract] [Full Text] [PDF] |
||||
![]() |
S. Thiam, A. M. LeFevre, F. Hane, A. Ndiaye, F. Ba, K. L. Fielding, M. Ndir, and C. Lienhardt Effectiveness of a Strategy to Improve Adherence to Tuberculosis Treatment in a Resource-Poor Setting: A Cluster Randomized Controlled Trial JAMA, January 24, 2007; 297(4): 380 - 386. [Abstract] [Full Text] [PDF] |
||||
![]() |
N. Bhandari, S. Taneja, S. Mazumder, R. Bahl, O. Fontaine, M. K. Bhan, and and other members of the Zinc Study Group Adding Zinc to Supplemental Iron and Folic Acid Does Not Affect Mortality and Severe Morbidity in Young Children J. Nutr., January 1, 2007; 137(1): 112 - 117. [Abstract] [Full Text] [PDF] |
||||
![]() |
S. EBRAHIM Entelechy, citation indexes, and the association of ideas Int. J. Epidemiol., October 1, 2006; 35(5): 1117 - 1118. [Full Text] [PDF] |
||||
![]() |
S. M Eldridge, D. Ashby, and S. Kerry Sample size for cluster randomized trials: effect of coefficient of variation of cluster size and analysis method Int. J. Epidemiol., October 1, 2006; 35(5): 1292 - 1300. [Abstract] [Full Text] [PDF] |
||||
![]() |
A. Kroeger, A. Lenhart, M. Ochoa, E. Villegas, M. Levy, N. Alexander, and P J McCall Effective control of dengue vectors with curtains and water container covers treated with insecticide in Mexico and Venezuela: cluster randomised trials. BMJ, May 27, 2006; 332(7552): 1247 - 1252. [Abstract] [Full Text] [PDF] |
||||
![]() |
P. Milligan, A. Njie, and S. Bennett Comparison of two cluster sampling methods for health surveys in developing countries Int. J. Epidemiol., June 1, 2004; 33(3): 469 - 476. [Abstract] [Full Text] [PDF] |
||||
![]() |
M. K Campbell, D. R Elbourne, and D. G Altman CONSORT statement: extension to cluster randomised trials BMJ, March 20, 2004; 328(7441): 702 - 708. [Full Text] [PDF] |
||||
![]() |
D. M. Murray, S. P. Varnell, and J. L. Blitstein Design and Analysis of Group-Randomized Trials: A Review of Recent Methodological Developments Am J Public Health, March 1, 2004; 94(3): 423 - 432. [Abstract] [Full Text] [PDF] |
||||
![]() |
P. Isaakidis and J. P. A. Ioannidis Evaluation of Cluster Randomized Controlled Trials in Sub-Saharan Africa Am. J. Epidemiol., November 1, 2003; 158(9): 921 - 926. [Abstract] [Full Text] [PDF] |
||||
![]() |
T. M Braun A mixed model formulation for designing cluster randomized trials with binary outcomes Statistical Modeling, October 1, 2003; 3(3): 233 - 249. [Abstract] [PDF] |
||||
![]() |
J. Todd, L. Carpenter, X. Li, J. Nakiyingi, R. Gray, and R. Hayes The effects of alternative study designs on the power of community randomized trials: evidence from three studies of human immunodeficiency virus prevention in East Africa Int. J. Epidemiol., October 1, 2003; 32(5): 755 - 762. [Abstract] [Full Text] [PDF] |
||||
![]() |
S. Bennett, T. Parpia, R. Hayes, and S. Cousens Methods for the analysis of incidence rates in cluster randomized trials Int. J. Epidemiol., August 1, 2002; 31(4): 839 - 846. [Abstract] [Full Text] [PDF] |
||||
![]() |
J. Hippisley-Cox, L. Groom, D. Kendrick, C. Coupland, E. Webber, and B. Savelyich Cross sectional survey of socioeconomic variations in severity and mechanism of childhood injuries in Trent 1992-7 BMJ, May 11, 2002; 324(7346): 1132 - 1132. [Abstract] [Full Text] [PDF] |
||||
![]() |
J. Judd, C. J. Frankish, and G. Moulton Setting standards in the evaluation of community-based health promotion programmes-- a unifying approach Health Promot. Int., December 1, 2001; 16(4): 367 - 380. [Abstract] [Full Text] [PDF] |
||||
![]() |
J. Hippisley-Cox, M. Pringle, C. Coupland, V. Hammersley, and A. Wilson Do single handed practices offer poorer care? Cross sectional survey of processes and outcomes BMJ, August 11, 2001; 323(7308): 320 - 323. [Abstract] [Full Text] [PDF] |
||||
![]() |
M J Campbell Cluster randomized trials in general (family) practice research Statistical Methods in Medical Research, April 1, 2000; 9(2): 81 - 94. [Abstract] [PDF] |
||||
![]() |
R J Hayes, N D. Alexander, S Bennett, and S N Cousens Design and analysis issues in cluster-randomized trials of interventions against infectious diseases Statistical Methods in Medical Research, April 1, 2000; 9(2): 95 - 116. [Abstract] [PDF] |
||||















