Table S1.

Bounds in Propositions 1 and 2 for balanced designs with n subjects per treatment

Upper bounds on maximum regretK =Common multiplicative factor
234567
Bound S60.42890.85781.28661.71552.14442.5733Mn–1/2
Bound S70.65390.92791.08921.19991.28271.3481Mn–1/2
Bound S80.83261.04811.17741.26861.33861.3950Mn–1/2