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. Author manuscript; available in PMC: 2020 Apr 15.
Published in final edited form as: Stat Med. 2018 Dec 4;38(8):1357–1373. doi: 10.1002/sim.8040

TABLE 4.

Transcriptome-biomarker association analysis

γ0 γ1 σ β0 β1* α
 EM§:

COL5A2 estimate: −0.377 −0.00914 1.118 3.126 −0.354 1.162
std err: 0.179 0.00735 0.0346 0.0713
test stat: −2.113 −1.243 90.450 −4.970
p-value: 0.0346 0.214 < 0.001 < 0.001

PDIA5 estimate: −0.256 −0.00100 1.122 5.654 0.0904 4.003
std err: 0.413 0.00128 0.0415 0.0285
test stat: −0.784 −0.619 136.104 3.176
p-value: 0.536 0.433 < 0.001 0.002

LRRC16A estimate: 4.362 0.00118 1.501 5.0286 −0.288 3.281
std err: 0.346 0.00184 0.132 0.0370
test stat: 12.609 0.656 38.049 −7.781
p-value < 0.001 0.523 < 0.001 < 0.001

 Regression Imputation:

CoL5A2 estimate: 1.966 −0.119 1.075 3.123 −0.343 1.160
std err: 0.638 0.0297 0.0346 0.0726
test stat: 3.083 −4.015 90.917 −4.726
p-value: 0.002 < 0.001 < 0.001 < 0.001

PDIA5 estimate: 0.529 −0.00348 1.120 5.651 0.0913 4.002
std err: 0.920 0.00290 0.0415 0.0284
test stat: 0.575 −1.203 158.692 2.937
p-value: 0.566 0.231 < 0.001 0.002

LRRC16A estimate: 4.166 0.00228 1.491 5.039 −0.288 3.280
std err: 0.530 0.00292 0.131 0.0370
test stat: 7.859 0.780 38.509 −7.789
p-value < 0.001 0.436 < 0.001 < 0.001
§

Coefficient estimates and standard errors are based on application of the EM strategy using a convergence criterion of < 1 × 10−6. Convergence is reached at 34 iterations for COL5A2, 71 iterations for PDIA5 and 34 iterations for LRCC16A.

*

The coefficient estimate and corresponding standard error is reported for the strongest signal SNP within each gene (rs9467471 for LRCC16A; rs836861 for PDIA5).