Table 7 Type I error for testing \(H_0:\beta ^{(1)}_{j}=\cdots =\beta ^{(G)}_{j}\) vs \(H_1:\) not \(H_0\) at \(\alpha =0.05\).

From: Debiased inference for heterogeneous subpopulations in a high-dimensional logistic regression model

j

\(\min _{g}\beta ^{(g)}_j\)

\(\max _{g}\beta ^{(g)}_j\)

Methods

DFGL

DL

DPL

DR-B

DL-B

1

0.0

0.0

0.04

0.04

0.03

0.00

0.02

2

0.0

0.0

0.02

0.01

0.00

0.00

0.00

3

0.0

0.0

0.01

0.02

0.01

0.00

0.03