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. Author manuscript; available in PMC: 2021 Mar 15.
Published in final edited form as: Stat Med. 2019 Dec 4;39(6):801–813. doi: 10.1002/sim.8446

Appendix 2:

Full table for type 1 errors results based on 20,000 replications (in %)

Continuous Binary
Scenarios (+/−/0) α level famGEa rareGEb BTc famGEa rareGEb BTc
4/0/16 5 4.96 5.30 5.01 5.03 5.51 5.07
1 1.00 1.10 1.02 1.02 1.25 1.05
0.1 0.10 1.70 0.10 0.12 0.18 0.10
8/0/12 5 4.88 5.21 4.99 4.84 5.57 4.92
1 1.00 1.03 1.00 0.97 1.34 0.95
0.1 0.10 0.11 0.10 0.11 0.19 0.09
12/0/8 5 4.95 5.20 4.99 4.82 5.54 4.98
1 0.94 1.20 0.96 1.06 1.22 0.90
0.1 0.10 0.15 0.10 0.08 0.15 0.10
16/0/4 5 5.04 5.38 5.00 4.84 5.70 5.00
1 0.91 1.16 0.99 0.97 1.41 0.94
0.1 0.11 0.16 0.10 0.12 0.20 0.10
2/2/16 5 4.80 5.25 5.00 4.97 5.56 5.06
1 0.95 1.20 1.01 0.94 1.16 0.97
0.1 0.10 0.14 0.11 0.11 0.16 0.11
4/4/12 5 4.99 5.33 5.02 4.84 5.52 4.89
1 0.93 1.05 1.00 0.97 1.16 0.96
0.1 0.10 0.19 0.10 0.10 0.14 0.09
6/6/8 5 4.93 5.41 4.94 4.88 5.61 4.88
1 1.03 1.10 1.04 0.92 1.37 1.00
0.1 0.10 0.14 0.10 0.11 0.17 0.11
8/8/4 5 5.02 5.31 4.93 4.89 5.55 4.79
1 0.90 1.11 0.99 0.97 1.27 0.94
0.1 0.10 0.17 0.12 0.10 0.16 0.10

+/−/0: number of variants with main genotype effect sizes that are positive, negative, and neutral

a

famGE: our proposed method accounting for family correlation

b

rareGE: interaction test ignoring family correlation

c

BT: burden test