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$$_{Placebo}$$ Grp$$_{Treatment}$$ $$\Delta _{Beta}$$ $$\Delta _{M}$$ 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 $$\cdot$$ Grp$$_{Treatment}$$
0.101 $$-$$3.15 0.201 $$-$$1.99 0.10 1.16 $$-$$3.15 + 1.16 $$\cdot$$ Grp$$_{Treatment}$$
0.201 $$-$$1.99 0.301 $$-$$1.22 0.10 0.77 $$-$$1.99 + 0.77 $$\cdot$$ Grp$$_{Treatment}$$
0.301 $$-$$1.22 0.401 $$-$$0.58 0.10 0.64 $$-$$1.22 + 0.64 $$\cdot$$ Grp$$_{Treatment}$$
0.401 $$-$$0.58 0.501 0.01 0.10 0.59 $$-$$0.58 + 0.59 $$\cdot$$ Grp$$_{Treatment}$$
0.501 0.01 0.601 0.59 0.10 0.58 0.01 + 0.58 $$\cdot$$ Grp$$_{Treatment}$$
0.601 0.59 0.701 1.23 0.10 0.64 0.59 + 0.64 $$\cdot$$ Grp$$_{Treatment}$$
0.701 1.23 0.801 2.01 0.10 0.78 1.23 + 0.78 $$\cdot$$ Grp$$_{Treatment}$$
0.801 2.01 0.901 3.19 0.10 1.18 2.01 + 1.18 $$\cdot$$ Grp$$_{Treatment}$$
0.901 3.19 0.999 9.96 0.10 6.77 3.19 + 6.77 $$\cdot$$ Grp$$_{Treatment}$$