Skip to main content
Top
Published in: Malaria Journal 1/2019

Open Access 01-12-2019 | Malaria | Methodology

Intracluster correlation coefficients in the Greater Mekong Subregion for sample size calculations of cluster randomized malaria trials

Authors: Pimnara Peerawaranun, Jordi Landier, Francois H. Nosten, Thuy-Nhien Nguyen, Tran Tinh Hien, Rupam Tripura, Thomas J. Peto, Koukeo Phommasone, Mayfong Mayxay, Nicholas P. J. Day, Arjen Dondorp, Nick White, Lorenz von Seidlein, Mavuto Mukaka

Published in: Malaria Journal | Issue 1/2019

Login to get access

Abstract

Background

Sample size calculations for cluster randomized trials are a recognized methodological challenge for malaria research in pre-elimination settings. Positively correlated responses from the participants in the same cluster are a key feature in the estimated sample size required for a cluster randomized trial. The degree of correlation is measured by the intracluster correlation coefficient (ICC) where a higher coefficient suggests a closer correlation hence less heterogeneity within clusters but more heterogeneity between clusters.

Methods

Data on uPCR-detected Plasmodium falciparum and Plasmodium vivax infections from a recent cluster randomized trial which aimed at interrupting malaria transmission through mass drug administrations were used to calculate the ICCs for prevalence and incidence of Plasmodium infections. The trial was conducted in four countries in the Greater Mekong Subregion, Laos, Myanmar, Vietnam and Cambodia. Exact and simulation approaches were used to estimate ICC values for both the prevalence and the incidence of parasitaemia. In addition, the latent variable approach to estimate ICCs for the prevalence was utilized.

Results

The ICCs for prevalence ranged between 0.001 and 0.082 for all countries. The ICC from the combined 16 villages in the Greater Mekong Subregion were 0.26 and 0.21 for P. falciparum and P. vivax respectively. The ICCs for incidence of parasitaemia ranged between 0.002 and 0.075 for Myanmar, Cambodia and Vietnam. There were very high ICCs for incidence in the range of 0.701 to 0.806 in Laos during follow-up.

Conclusion

ICC estimates can help researchers when designing malaria cluster randomized trials. A high variability in ICCs and hence sample size requirements between study sites was observed. Realistic sample size estimates for cluster randomized malaria trials in the Greater Mekong Subregion have to assume high between cluster heterogeneity and ICCs. This work focused on uPCR-detected infections; there remains a need to develop more ICC references for trials designed around prevalence and incidence of clinical outcomes. Adequately powered trials are critical to estimate the benefit of interventions to malaria in a reliable and reproducible fashion.
Trial registration: ClinicalTrials.govNCT01872702. Registered 7 June 2013. Retrospectively registered. https://​clinicaltrials.​gov/​ct2/​show/​NCT01872702
Appendix
Available only for authorised users
Literature
1.
go back to reference Donner A, Klar N. Design and analysis of cluster randomization trials in health research. London: Arnold Publishers; 2000. Donner A, Klar N. Design and analysis of cluster randomization trials in health research. London: Arnold Publishers; 2000.
2.
go back to reference Hayes RJ, Moulton LH. Cluster randomised trials. Boca Raton: Chapman & Hall/CRC Press; 2009.CrossRef Hayes RJ, Moulton LH. Cluster randomised trials. Boca Raton: Chapman & Hall/CRC Press; 2009.CrossRef
3.
go back to reference Eldridge SM, Ashby D, Kerry S. Sample size for cluster randomized trials: effect of coefficient of variation of cluster size and analysis method. Int J Epidemiol. 2006;35:1292–300.CrossRef Eldridge SM, Ashby D, Kerry S. Sample size for cluster randomized trials: effect of coefficient of variation of cluster size and analysis method. Int J Epidemiol. 2006;35:1292–300.CrossRef
4.
go back to reference Hayes RJ, Bennett S. Simple sample size calculation for cluster-randomized trials. Int J Epidemiol. 1999;28:319–26.CrossRef Hayes RJ, Bennett S. Simple sample size calculation for cluster-randomized trials. Int J Epidemiol. 1999;28:319–26.CrossRef
5.
go back to reference Donner A, Birkett N, Buck C. Randomization by cluster. Sample size requirements and analysis. Am J Epidemiol. 1981;114:906–14.CrossRef Donner A, Birkett N, Buck C. Randomization by cluster. Sample size requirements and analysis. Am J Epidemiol. 1981;114:906–14.CrossRef
6.
go back to reference Adams G, Gulliford M, Ukoumunne O, Eldridge S, Chinn S, Campbell M. Patterns of intra-cluster correlation from primary care research to inform study design and analysis. J Clin Epidemiol. 2004;57:785–94.CrossRef Adams G, Gulliford M, Ukoumunne O, Eldridge S, Chinn S, Campbell M. Patterns of intra-cluster correlation from primary care research to inform study design and analysis. J Clin Epidemiol. 2004;57:785–94.CrossRef
7.
go back to reference Campbell M, Thomson S, Ramsay C, MacLennan G, Grimshaw J. Sample size calculator for cluster randomized trials. Comput Biol Med. 2004;34:113–25.CrossRef Campbell M, Thomson S, Ramsay C, MacLennan G, Grimshaw J. Sample size calculator for cluster randomized trials. Comput Biol Med. 2004;34:113–25.CrossRef
8.
go back to reference Austin P, Stryhn H, Leckie G, Merlo J. Measures of clustering and heterogeneity in multilevel Poisson regression analyses of rates/count data. Stat Med. 2018;37:572–89.CrossRef Austin P, Stryhn H, Leckie G, Merlo J. Measures of clustering and heterogeneity in multilevel Poisson regression analyses of rates/count data. Stat Med. 2018;37:572–89.CrossRef
9.
go back to reference Singh J, Liddy C, Hogg W, Taljaard M. Intracluster correlation coefficients for sample size calculations related to cardiovascular disease prevention and management in primary care practices. BMC Res Notes. 2015;8:89.CrossRef Singh J, Liddy C, Hogg W, Taljaard M. Intracluster correlation coefficients for sample size calculations related to cardiovascular disease prevention and management in primary care practices. BMC Res Notes. 2015;8:89.CrossRef
10.
go back to reference Browne WJ, Subramanian SV, Jones K, Goldstein H. Variance partitioning in multilevel models that exhibit overdispersion. J R Stat Soc A. 2005;168:599–614.CrossRef Browne WJ, Subramanian SV, Jones K, Goldstein H. Variance partitioning in multilevel models that exhibit overdispersion. J R Stat Soc A. 2005;168:599–614.CrossRef
11.
go back to reference Goldstein H, Browne WJ, Rasbach J. Partitioning variation in multilevel models. Underst Stat. 2002;1:223–32.CrossRef Goldstein H, Browne WJ, Rasbach J. Partitioning variation in multilevel models. Underst Stat. 2002;1:223–32.CrossRef
12.
go back to reference von Seidlein L, Peto TJ, Landier J, Nguyen T-N, Tripura R, Phommasone K, et al. The impact of targeted malaria elimination with mass drug administrations on falciparum malaria in Southeast Asia: a cluster randomised trial. PLoS Med. 2019;16:e1002745.CrossRef von Seidlein L, Peto TJ, Landier J, Nguyen T-N, Tripura R, Phommasone K, et al. The impact of targeted malaria elimination with mass drug administrations on falciparum malaria in Southeast Asia: a cluster randomised trial. PLoS Med. 2019;16:e1002745.CrossRef
13.
go back to reference Nguyen T-N, von Seidlein L, Nguyen T-V, Truong P-N, Do Hung S, Pham H-T, et al. The persistence and oscillations of submicroscopic Plasmodium falciparum and Plasmodium vivax infections over time in Vietnam: an open cohort study. Lancet Infect Dis. 2018;18:565–72.CrossRef Nguyen T-N, von Seidlein L, Nguyen T-V, Truong P-N, Do Hung S, Pham H-T, et al. The persistence and oscillations of submicroscopic Plasmodium falciparum and Plasmodium vivax infections over time in Vietnam: an open cohort study. Lancet Infect Dis. 2018;18:565–72.CrossRef
14.
go back to reference Pongvongsa T, Phommasone K, Adhikari B, Henriques G, Chotivanich K, Hanboonkunupakarn B, et al. The dynamic of asymptomatic Plasmodium falciparum infections following mass drug administrations with dihydroarteminisin–piperaquine plus a single low dose of primaquine in Savannakhet Province, Laos. Malar J. 2018;17:405.CrossRef Pongvongsa T, Phommasone K, Adhikari B, Henriques G, Chotivanich K, Hanboonkunupakarn B, et al. The dynamic of asymptomatic Plasmodium falciparum infections following mass drug administrations with dihydroarteminisin–piperaquine plus a single low dose of primaquine in Savannakhet Province, Laos. Malar J. 2018;17:405.CrossRef
15.
go back to reference Tripura R, Peto TJ, Chea N, Chan D, Mukaka M, Sirithiranont P, et al. A controlled trial of mass drug administration to interrupt transmission of multidrug-resistant falciparum malaria in Cambodian villages. Clin Infect Dis. 2018;67:817–26.CrossRef Tripura R, Peto TJ, Chea N, Chan D, Mukaka M, Sirithiranont P, et al. A controlled trial of mass drug administration to interrupt transmission of multidrug-resistant falciparum malaria in Cambodian villages. Clin Infect Dis. 2018;67:817–26.CrossRef
16.
go back to reference Landier J, Kajeechiwa L, Thwin MM, Parker DM, Chaumeau V, Wiladphaingern J, et al. Safety and effectiveness of mass drug administration to accelerate elimination of artemisinin-resistant falciparum malaria: a pilot trial in four villages of Eastern Myanmar. Wellcome Open Res. 2017;2:81.CrossRef Landier J, Kajeechiwa L, Thwin MM, Parker DM, Chaumeau V, Wiladphaingern J, et al. Safety and effectiveness of mass drug administration to accelerate elimination of artemisinin-resistant falciparum malaria: a pilot trial in four villages of Eastern Myanmar. Wellcome Open Res. 2017;2:81.CrossRef
17.
go back to reference Eldridge SM, Ukoumunne OC, Carlin JB. The intra-cluster correlation coefficient in cluster randomized trials: a review of definitions. Int Stat Rev. 2009;77:378–94.CrossRef Eldridge SM, Ukoumunne OC, Carlin JB. The intra-cluster correlation coefficient in cluster randomized trials: a review of definitions. Int Stat Rev. 2009;77:378–94.CrossRef
18.
go back to reference Nakagawa S, Schielzeth H. Repeatability for Gaussian and non-Gaussian data: a practical guide for biologists. Biol Rev Camb Philos Soc. 2010;85:935–56.PubMed Nakagawa S, Schielzeth H. Repeatability for Gaussian and non-Gaussian data: a practical guide for biologists. Biol Rev Camb Philos Soc. 2010;85:935–56.PubMed
19.
go back to reference Woertman W, de Hoop E, Moerbeek M, Zuidema SU, Gerritsen DL, Teerenstra S. Stepped wedge designs could reduce the required sample size in cluster randomized trials. J Clin Epidemiol. 2013;66:752–8.CrossRef Woertman W, de Hoop E, Moerbeek M, Zuidema SU, Gerritsen DL, Teerenstra S. Stepped wedge designs could reduce the required sample size in cluster randomized trials. J Clin Epidemiol. 2013;66:752–8.CrossRef
Metadata
Title
Intracluster correlation coefficients in the Greater Mekong Subregion for sample size calculations of cluster randomized malaria trials
Authors
Pimnara Peerawaranun
Jordi Landier
Francois H. Nosten
Thuy-Nhien Nguyen
Tran Tinh Hien
Rupam Tripura
Thomas J. Peto
Koukeo Phommasone
Mayfong Mayxay
Nicholas P. J. Day
Arjen Dondorp
Nick White
Lorenz von Seidlein
Mavuto Mukaka
Publication date
01-12-2019
Publisher
BioMed Central
Published in
Malaria Journal / Issue 1/2019
Electronic ISSN: 1475-2875
DOI
https://doi.org/10.1186/s12936-019-3062-x

Other articles of this Issue 1/2019

Malaria Journal 1/2019 Go to the issue