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Research Article

Testing homogeneity of effect sizes in pooling 2x2 contingency tables from multiple studies: a comparison of methods

& | (Reviewing Editor)
Article: 1478698 | Received 03 Jan 2018, Accepted 13 May 2018, Published online: 14 Jun 2018

References

  • Agresti, A. (2002). Categorical data analysis (2nd ed.). New York, NY: John Wiley & Sons.
  • Bagheri, Z., Ayatollahi, S. M. T., & Jafari, P. (2011). Comparison of three tests of homogeneity of odds ratios in multicenter trials with unequal sample sizes within and among centers. BMC Medical Research Methodology, 11, 58.
  • Breslow, N. E., & Day, N. E. (1980). Statistical methods in cancer research 1980; Volume I—the design and analysis of case-control studies, Vol 32 of IARC Scientific Publications. Lyon: International Agency for Research on Cancer.
  • Bliss, C. L. (1952). The statistics of Bioassay: With special reference to the vitamins. New York, NY: Academic Press Inc.
  • Breslow, N. E. (1994). Statistics in epidemiology: The case-control study. Journal of the American Statistical Association, 91(433), 14–28. doi:10.1080/01621459.1996.10476660
  • Brockwell, S. E., & Gordon, I. R. (2001). A comparison of statistical methods for meta-analysis. Statistics in Medicine, 20(6), 825–840. doi:10.1002/(ISSN)1097-0258
  • Cochran, W. G. (1954). The combination of estimates from different experiments. Biometrics, 10, 101–129. doi:10.2307/3001666
  • DerSimonian, R., & Laird, N. (1986). Meta-analysis in clinical trials. Control Clinical Trials, 7(3), 177–188. doi:10.1016/0197-2456(86)90046-2
  • Gart, J. J. (1966). Alternative analyses of contingency tables. Journal of the Royal Statistical Society Series B (Methodological), 28(1), 164–179.
  • Gavaghan, D. J., Moore, R. A., & McQuay, H. J. (2000). An evaluation of homogeneity tests in meta-analyses in pain using simulations of individual patient data. Pain, 85(3), 415–424. doi:10.1016/S0304-3959(99)00302-4
  • Halperin, M., Ware, J. H., Byar, D. P., Mantel, N., Brown, C. C., Koziol, J., … Green, S. B. (1977). Testing for interaction in an I×J×K contingency table. Biometrika, 64, 271–275.
  • Higgins, J. P. T., & Thompson, S. G. (2002). Quantifying heterogeneity in a meta-analysis. Statistics in Medicine, 21(11), 1539–1558. doi:10.1002/sim.1186
  • Higgins, J. P. T., Thompson, S. G., Deeks, J. J., & Altman, D. G. (2003). Measuring inconsistency in meta-analyses. British Medical Journal, 327(7414), 557–560. doi:10.1136/bmj.327.7414.557
  • Hoaglin, D. C. (2016). Misunderstandings about Q and ‘Cochran’s Q test’ in meta-analysis. Statistics in Medicine, 35, 485–495. doi:10.1002/sim.v35.4
  • Huedo-Medina, T. B., Sánchez-Meca, J., Marín-Martínez, F., & Botella, J. (2006). Assessing heterogeneity in meta-analysis: Q statistic or I2 index. Psychological Methods, 11(2), 193–206. doi:10.1037/1082-989X.11.2.193
  • Jackson, D. (2006). The power of the standard test for the presence of heterogeneity in meta-analysis. Statistics in Medicine, 25, 2688–2699. doi:10.1002/(ISSN)1097-0258
  • Jones, M. P., O’Gorman, T. W., Lemke, J. H., Woolson, R. F., & Monte Carlo, A. (1989). Investigation of homogeneity tests of the odds ratio under various sample size configurations. Biometrics, 45(1), 171–181. doi:10.2307/2532043
  • Kulinskaya, E., Dollinger, M. B., & Bjørkestøl, K. (2011). Testing for homogeneity in meta-analysis. I. The one parameter case: Standardized mean difference. Biometrics, 67, 203–212. doi:10.1111/j.1541-0420.2010.01442.x
  • Liang, K. Y., & Self, S. G. (1989). Tests of homogeneity of odds ratio when the data are sparse. Biometrica, 72, 353–358. doi:10.1093/biomet/72.2.353
  • Mantel, N., & Haenszel, W. (1959). Statistical aspects of the analysis of data from retrospective studies of disease. Journal of the National Cancer Institute, 22, 719–748.
  • McCulloch, C. E., Searle, S. R., & Neuhaus, J. M. (2008). Generalized, linear, and mixed models (2nd ed.). New Jersey: Wiley.
  • Mzolo, T., Hendriks, M., & van den Heuvel, E. (2013). A comparison of statistical methods for combining relative bioactivities from parallel line bioassays. Pharmaceutical Statistics, 12(6), 375–84.
  • Pasipanodya, J. G., Srivastava, S., & Gumbo, T. (2012). Meta-analysis of clinical studies supports the pharmacokinetic variability hypothesis for acquired drug resistance and failure of antituberculosis therapy. Clinical Infectious Diseases, 55(2), 169–177. doi:10.1093/cid/cis353
  • Paul, S. R., & Donner, A. (1992). Small sample performance of tests of homogeneity of odds ratios in K 2 × 2 tables. Statistics in Medicine, 11(2), 159–165. doi:10.1002/sim.4780110203
  • Sánchez-Meca, J., & Marín-Martínez, F. (1997). Homogeneity tests in meta-analysis: A Monte Carlo comparison of statistical power and Type I error. Quality and Quantity, 31, 385–399. doi:10.1023/A:1004298118485
  • Skellam JG. (1948). A probability distribution derived from the binomial distribution by regarding the probability of success as variable between the sets of trials. Journal of the Royal Statistical Society, 10(2), 257–261.
  • Sutton, A. J., & Higgins, J. P. (2008). Recent developments in meta-analysis. Statistics in Medicine, 27(5), 625–650. doi:10.1002/sim.2934
  • Tarone, R. E. (1985). On heterogeneity tests based on efficient scores. Biometrika, 72, 91–95. doi:10.1093/biomet/72.1.91
  • Verbeke, G., & Molenberghs, G. (2003). The use of score tests for inference on variance components. Biometrics, 59, 254–262. doi:10.1111/1541-0420.00032
  • Wolfinger, R., & O’ Connell, M. (1993). Generalized linear mixed models: A pseudo-likelihood approach. Journal of Statistical Computation and Simulation, 4, 233–243. doi:10.1080/00949659308811554
  • Woolf, B. (1955). On estimating the relationship between blood group and disease. Annual Human Genetics, 19, 251–253. doi:10.1111/j.1469-1809.1955.tb01348.x
  • Yusuf, S., Peto, R., Lewis, J., Collins, R., & Sleight, P. (1986). Beta blockade during and after myocardial infarction: An overview of the randomized trials. Progress in Cardiovascular Diseases, 27(5), 335–371. doi:10.1016/S0033-0620(85)80003-7
  • Zelen, M. (1971). The analysis of several 2 × 2 contingency tables. Biometrika, 58, 129–137.