Cluster randomization trials: A simulation study

James X. Song, Chul Ahn

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A simulation study is conducted to compare several methods that test the common log odds ratio in multiple 2 × 2 tables when the data are correlated within clusters. Allowing cluster size to vary within each table, we evaluate the unadjusted Mantel-Haenszel chi-square statistic (χMH 2), the adjusted Mantel-Haenszel chi-square statistics of Rao and Scott using both an unpooled design effect (χRSN 2) and a pooled design effect (χRSP 2), the adjusted Mantel-Haenszel chi-square statistic of Donald and Donner (χDD 2), the chi-square statistic using the GEE approach (χGEE 2), the adjusted Mantel-Haenszel chi-square statistic of Begg (χB 2), the Wald (χW 2), the robust Wald (χRW 2), the score (χS 2), the robust score (χRS 2), and the adjusted Mantel-Haenszel chi-square statistics of Zhang and Boos (χZBP 2 and χZBN 2). The test statistics above are compared in terms of empirical significance levels and empirical power levels. The robust score statistic χRS 2 and the adjusted Mantel-Haenszel chi-square statistics of Zhang and Boos (χZBP 2 and χZBN 2) generally have empirical significance levels closer to the nominal value than the other statistics. These three statistics have similar empirical power levels when the intrachister correlation is zero or the cluster sizes are balanced. χRS 2 performs better in terms of empirical power levels when a positive intracluster correlation exists in the imbalance setting.

Original languageEnglish (US)
Pages (from-to)375-390
Number of pages16
JournalBiometrical Journal
Volume44
Issue number3
DOIs
StatePublished - 2002

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Chi-square
Randomisation
Simulation Study
Statistic
Statistics
Design Effect
Significance level
Intracluster Correlation
2 × 2 Table
Score Statistic
Odds Ratio
Simulation study
Randomization
Test Statistic
Categorical or nominal
Table
Vary
Evaluate
Zero

Keywords

  • Correlated binary data
  • Mantel-Haenszel
  • Randomization trial

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

Cluster randomization trials : A simulation study. / Song, James X.; Ahn, Chul.

In: Biometrical Journal, Vol. 44, No. 3, 2002, p. 375-390.

Research output: Contribution to journalArticle

Song, James X. ; Ahn, Chul. / Cluster randomization trials : A simulation study. In: Biometrical Journal. 2002 ; Vol. 44, No. 3. pp. 375-390.
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