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. 2019 Jan 11;20:9. doi: 10.1186/s12881-018-0739-x

Fig. 4.

Fig. 4

Estimated type I error rates for the compared analytical approaches. Type I error rates were estimated for each analytical approach as the proportion of false positive results (p-value < 0.05) calculated over 2000 simulation replicates with no interaction effect. Estimated type I error rates are shown for gene-environment (GE) interaction effect (left panel; simulation model includes a genetic main effect) and gene-time-environment (GTE) interaction effect (right panel; simulation model includes a gene-time interaction effect). The environmental main effect (βE) was included for all null scenarios