Imputing intracluster correlation coefficients from a posterior predictive distribution is a feasible method of dealing with unit of analysis errors in a meta-analysis of cluster RCTs

Kristin J Konnyu* (Corresponding Author), Monica Taljaard, Noah M Ivers, David Moher, Jeremy M Grimshaw

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

BACKGROUND: Incorporating cluster randomized trials (CRTs) into meta-analyses is challenging because appropriate standard errors of study estimates accounting for clustering are not always reported. Systematic reviews of CRTs often use a single constant external estimate of the intraclass correlation coefficient (ICC) to adjust study estimate standard errors and facilitate meta-analyses; an approach that fails to account for possible variation of ICCs among studies and the imprecision with which they are estimated. Using a large systematic review of the effects of diabetes quality improvement interventions, we investigated whether we could better account for ICC variation and uncertainty in meta-analyzed effect estimates by imputing missing ICCs from a posterior predictive distribution constructed from a database of relevant ICCs.

METHODS: We constructed a dataset of ICC estimates from applicable studies. For outcomes with two or more available ICC estimates, we constructed posterior predictive ICC distributions in a Bayesian framework. For a selected continuous outcome, glycosylated hemoglobin (HbA1c), we compared the impact of incorporating a single constant ICC versus imputing ICCs drawn from the posterior predictive distribution when estimating the effect of intervention components on post treatment mean in a case study of diabetes quality improvement trials.

RESULTS: Using internal and external ICC estimates, we were able to construct a database of 59 ICCs for 12 of the 13 review outcomes (range 1-10 per outcome) and estimate the posterior predictive ICC distribution for 11 review outcomes. Synthesized results were not markedly changed by our approach for HbA1c.

CONCLUSION: Building posterior predictive distributions to impute missing ICCs is a feasible approach to facilitate principled meta-analyses of cluster randomized trials using prior data. Further work is needed to establish whether the application of these methods leads to improved review inferences for different reviews based on different factors (e.g., proportion of CRTs and CRTs with missing ICCs, different outcomes, variation and precision of ICCs).

Original languageEnglish
Pages (from-to)307-318
Number of pages12
JournalJournal of Clinical Epidemiology
Volume139
Early online date22 Jun 2021
DOIs
Publication statusPublished - Nov 2021
Externally publishedYes

Bibliographical note

Funding
This study was supported by a grant from the Canadian Institutes of Health Research (CIHR, FRN-123345) and a research fellowship held by KJK (Frederick Banting and Charles Best Canada Graduate Scholarship; GSD-134936). CIHR had no role in study design, plans for data collection and analysis, decision to publish, or preparation of this manuscript. NMI is holds a Canada Research Chair (Tier 2) in Implementation of Evidence Based Practice and a Clinician Scientist Award from the Department of Family and Community Medicine at the University of Toronto. JMG holds a Canada Research Chair in Health Knowledge Transfer and Uptake and is funded by a Foundation Grant from the Canadian Institutes of Health Research. DM is supported by a University Research Chair. Funders played no role in the design, conduct or reporting of the study.

Data Availability Statement

Supplementary materials
Supplementary material associated with this article can be found, in the online version, at doi:10.1016/j.jclinepi.2021.06.011.

Keywords

  • unit of analysis errors
  • cluster randomized trial
  • complex interventions
  • meta-analysis
  • intraclass correlation coefficient
  • intracluster correlation coefficient

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