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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).