Table 4 Power 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

167

\(-\,1.0\)

1.0

0.56

0.32

0.33

0.07

0.30

187

\(-\,1.0\)

1.0

0.77

0.53

0.54

0.11

0.54

211

\(-\,0.8\)

0.8

0.26

0.18

0.13

0.00

0.18

270

\(-\,0.8\)

0.8

0.42

0.24

0.28

0.02

0.22