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J Am Med Inform Assoc 9:230-238 doi:10.1197/jamia.M0997
  • The Practice of Informatics

Design and Analysis of Controlled Trials in Naturally Clustered Environments

Table 3

Statistical Analysis of a Cluster-randomized Trial

Statistical Test Test Statistic (df) pValue Effect Size 95% CI
Ignoring clustering in the analysis (incorrect approach):
 Chi-square test χ2=6.95 (1 df) 0.008 PD=7% 2%–12%
OR=1.5 1.1–2.0
Cluster-level analyses:
 Two-sample t test t=1.84 (32 df) 0.074 MD=8% -1%–17%
Weighted t test t=2.09 (32 df) 0.044 WMD=7% 0%–14%
Individual-level analyses that account for clustering:
Random effects model t=2.00 (1,097 df) 0.046 OR=1.5 1.0–2.3
Generalized estimating equations z=2.06 0.040 OR=1.5 1.0–2.1
  • Abbreviations: PD indicates proportion difference; MD, mean difference; WMD, weighted mean difference; OR, odds ratio; CI, confidence interval; df, degree of freedom.

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