Table 4.

Table of example for the transformation of Beta-Values to M-values and the differences, respectively. The Beta-value difference between the Placebo group and the Treatments group is constant at 10%. Due to the transformation, the M-values differ and the differences in M-values can not be mapped to the differences in Beta-values

Grp${}_{\mathit{Placebo}}$		Grp${}_{\mathit{Treatment}}$		${\mathrm{\Delta }}_{\mathit{Beta}}$	${\mathrm{\Delta }}_M$	Regression formula
Beta-value	M-value	Beta-value	M-value			on M-values
0.001	$-$9.96	0.101	$-$3.15	0.10	6.81	$-$9.96 + 6.81 $·$ Grp${}_{\mathit{Treatment}}$
0.101	$-$3.15	0.201	$-$1.99	0.10	1.16	$-$3.15 + 1.16 $·$ Grp${}_{\mathit{Treatment}}$
0.201	$-$1.99	0.301	$-$1.22	0.10	0.77	$-$1.99 + 0.77 $·$ Grp${}_{\mathit{Treatment}}$
0.301	$-$1.22	0.401	$-$0.58	0.10	0.64	$-$1.22 + 0.64 $·$ Grp${}_{\mathit{Treatment}}$
0.401	$-$0.58	0.501	0.01	0.10	0.59	$-$0.58 + 0.59 $·$ Grp${}_{\mathit{Treatment}}$
0.501	0.01	0.601	0.59	0.10	0.58	0.01 + 0.58 $·$ Grp${}_{\mathit{Treatment}}$
0.601	0.59	0.701	1.23	0.10	0.64	0.59 + 0.64 $·$ Grp${}_{\mathit{Treatment}}$
0.701	1.23	0.801	2.01	0.10	0.78	1.23 + 0.78 $·$ Grp${}_{\mathit{Treatment}}$
0.801	2.01	0.901	3.19	0.10	1.18	2.01 + 1.18 $·$ Grp${}_{\mathit{Treatment}}$
0.901	3.19	0.999	9.96	0.10	6.77	3.19 + 6.77 $·$ Grp${}_{\mathit{Treatment}}$