Table 3 Average (ATE) and conditional average (CATE) treatment effects of the specified (sub)populations of the IST-3

ATE

\(n_{A} = 716\), \(n_{C} = 731\)

     BMMLR

(\(-0.114, 0.029\))

    (0.000, 0.886)

\(\varvec{<}\)

-

0.000

0.504

-

     BMLR

(\(-0.116, 0.033\))

    (0.000, 0.941)

\(\varvec{<}\)

-

0.003

0.572

-

     BMB

(\(-0.117, 0.032\))

    (0.000, 0.911)

\(\varvec{<}\)

-

0.003

0.549

-

CATE - Low range

\(n_{A} = 99\), \(n_{C} = 105\)

     BMMLR

(\(-0.078, -0.023\))

    (0.003, 0.317)

\(\varvec{<}\)

-

\(-0.034\)

0.200

-

     BMLR

(\(-0.081, -0.016\))

    (0.004, 0.365)

\(\varvec{<}\)

-

\(-0.029\)

0.225

-

     BMB

(\(-0.110, -0.036\))

    (0.019, 0.318)

-

-

\(-0.051\)

0.207

-

CATE - Mid-Low range

\(n_{A} = 327\), \(n_{C} = 334\)

     BMMLR

(\(-0.090, 0.038\))

    (0.000, 0.884)

\(\varvec{<}\)

-

0.013

0.679

-

     BMLR

(\(-0.092, 0.044\))

    (0.000, 0.937)

\(\varvec{<}\)

-

0.017

0.752

-

     BMB

(\(-0.114, 0.045\))

    (0.001, 0.853)

\(\varvec{<}\)

-

0.013

0.642

-

CATE - Mid-High range

\(n_{A} = 237\), \(n_{C} = 252\)

     BMMLR

(\(-0.139, 0.051\))

    (0.000, 0.992)

\(\varvec{<} \& \varvec{>}\)

-

0.013

0.753

-

     BMLR

(\(-0.141, 0.054\))

    (0.000, 0.995)

\(\varvec{<} \& \varvec{>}\)

-

0.015

0.783

-

     BMB

(\(-0.118, 0.047\))

    (0.006, 0.938)

\(\varvec{<}\)

-

0.014

0.694

-

CATE - High range

\(n_{A} = 53\), \(n_{C} = 40\)

     BMMLR

(\(-0.183, 0.020\))

    (0.002, 0.980)

\(\varvec{<}\)

-

\(-0.021\)

0.100

-

     BMLR

(\(-0.188, 0.021\))

    (0.001, 0.982)

\(\varvec{<}\)

-

\(-0.021\)

0.100

-

     BMB

(\(-0.173, 0.019\))

    (0.069, 0.687)

-

-

\(-0.019\)

0.327

-

CATE - Low value

     BMMLR

(\(-0.078, -0.007\))

    (0.002, 0.440)

\(\varvec{<}\)

-

\(-0.021\)

0.291

-

     BMLR

(\(-0.080, 0.000\))

    (0.002, 0.503)

\(\varvec{<}\)

-

\(-0.016\)

0.328

-

CATE - High value

     BMMLR

(\(-0.140, 0.052\))

    (0.000, 0.991)

\(\varvec{<} \& \varvec{>}\)

-

0.014

0.751

-

     BMLR

(\(-0.142, 0.055\))

    (0.000, 0.994)

\(\varvec{<} \& \varvec{>}\)

-

0.015

0.777

-