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Table 1 Type-I error rates (%) for the bi-allelic case according to different genetic models of analysis and heterogeneity (τ2 ) for α = 5%

From: A note on the use of the generalized odds ratio in meta-analysis of association studies involving bi- and tri-allelic polymorphisms

  τ2= 0 τ2= 0.025 τ2= 0.05
Model of analysis Allelic LAT GOR Domi Rece Allelic LAT GOR Domi Rece Allelic LAT GOR Domi Rece
No. of Studies Fixed-effects, MAF = 10%
2 4.82 4.82 4.82 4.86 2.30 12.34 12.28 13.44 13.60 2.54 16.98 16.80 18.72 18.86 2.68
5 5.34 5.36 5.12 5.16 2.10 11.34 11.22 12.80 12.90 2.42 17.88 17.96 19.80 20.16 2.48
7 4.80 4.80 4.94 4.78 1.76 11.46 11.30 12.78 12.88 1.98 17.94 17.78 19.66 20.08 2.72
10 5.00 5.00 5.02 5.00 1.92 11.98 11.80 13.26 13.42 2.12 17.72 17.72 19.60 20.02 2.76
20 4.86 4.80 5.06 5.18 1.68 11.52 11.36 12.36 12.64 2.02 17.72 17.60 19.28 19.32 2.62
30 4.96 4.92 4.96 5.02 1.94 11.94 11.78 12.84 13.06 2.04 18.52 18.40 20.18 20.40 2.38
No. of Studies Random-effects, MAF = 10%
2 3.76 3.76 3.66 3.60 2.24 8.38 8.28 8.72 8.84 2.44 10.54 10.62 11.58 11.56 2.66
5 4.14 4.10 3.92 3.84 1.90 6.90 6.78 7.48 7.50 2.20 8.76 8.68 9.08 9.30 2.28
7 3.70 3.70 3.74 3.76 1.66 7.02 6.92 7.14 7.22 1.88 8.34 8.34 8.66 8.68 2.48
10 3.88 3.84 4.04 4.16 1.80 7.14 7.02 7.52 7.42 1.98 7.30 7.20 7.56 7.58 2.64
20 4.12 4.14 4.42 4.42 1.66 6.06 6.04 6.32 6.36 1.92 6.86 6.88 6.88 6.78 2.42
30 4.16 4.16 4.34 4.32 1.88 5.82 5.80 5.76 5.84 1.96 6.24 6.34 6.06 5.88 2.24
No. of Studies Fixed-effects, MAF = 40%
2 4.82 4.72 4.84 4.96 4.70 9.82 9.66 9.74 12.32 13.78 15.62 15.40 15.60 19.82 22.58
5 4.98 4.86 4.88 4.68 4.90 10.42 10.38 10.46 12.42 14.60 15.66 15.42 15.84 20.14 22.52
7 5.22 4.98 4.82 4.56 5.08 10.34 10.18 10.62 12.92 15.04 16.26 16.16 16.26 20.44 21.58
10 5.02 4.98 4.86 4.68 5.26 11.42 11.26 11.08 13.22 14.94 15.64 15.42 15.74 20.46 22.38
20 5.18 5.12 5.06 4.94 5.14 10.80 10.62 10.84 13.82 14.76 16.22 15.98 16.34 20.36 23.52
30 4.60 4.60 4.66 4.62 4.56 11.34 11.28 11.44 13.88 15.22 16.56 16.48 16.88 20.26 22.64
No. of Studies Random-effects, MAF = 40%
2 3.82 3.76 3.82 4.04 3.58 6.92 6.86 7.00 8.42 9.10 9.54 9.66 9.86 12.34 13.58
5 3.82 3.70 3.72 3.76 3.60 6.18 6.16 6.02 6.72 7.86 8.50 8.40 8.34 9.60 9.28
7 3.94 3.80 3.58 3.46 3.96 6.08 6.02 6.30 6.78 7.68 8.02 7.98 7.92 9.20 8.46
10 3.94 3.90 3.88 3.48 4.00 6.20 6.20 6.32 6.96 6.90 7.10 7.08 7.30 7.98 7.40
20 4.14 4.12 4.16 4.24 4.16 5.90 5.88 6.16 6.74 6.02 6.96 6.96 7.06 6.88 6.26
30 3.90 3.86 3.90 3.92 3.74 6.74 6.66 7.04 6.72 6.16 6.88 6.98 6.84 6.92 5.32
  1. Allelic, per-allele odds ratio. LAT, log-additive trend. GOR, generalized odds ratio. Domi, dominant. Rece, recessive. MAF, minor allele frequency. Results are based on 5,000 simulations. τ2, between-study variance. The size for each study was randomly sampled from a uniform distribution on the interval [500-1000] and split equally into cases and controls (i.e. case to control ratio = 1).