Table 4 Simulation results of type I error rate of permutation-based FRM for mixture exposure studies.

From: Introduction of FixFRM package for gene-based association test and its innovative application to mixture exposure analysis

Sample size

\(\:{K}_{\beta\:}=5\)

\(\:{K}_{\beta\:}=7\)

\(\:{K}_{\beta\:}=9\)

1000

0.044

0.053

0.042

2000

0.046

0.04

0.051

  1. \(\:{K}_{\beta\:}\) is the number of basis functions used to expand the genetic effect function in Model 10.