Table 1.

Sample sizes n = n_C = n_T for the co-primary and multiple primary endpoints for overall power 1 − β ≈ 0.80, α = 0.025, k_m = 2, K = 4 using the MUSE trial data

SLEDAI		PGA		BILAG		Taper
δ 1	${\mathit{\sigma }}_1^2$	δ 2	${\mathit{\sigma }}_2^2$	(πT3,πC3)	${\mathit{\sigma }}_3^{*}$	(πT4,πC4)	${\mathit{\sigma }}_4^{*}$	nco	nmult	SS 1	SS 2	SS 3	SS 4
0.88	18	0.38	0.35	(0.97,0.95)	0.24	(0.54,0.38)	0.40	403	46	365	39	273	99
0.88	19	0.38	0.35	(0.97,0.95)	0.24	(0.54,0.38)	0.40	419	46	386	39	273	99
0.88	20	0.38	0.35	(0.97,0.95)	0.24	(0.54,0.38)	0.40	435	46	406	39	273	99
0.88	18	0.38	0.45	(0.97,0.95)	0.24	(0.54,0.38)	0.40	403	55	365	49	273	99
0.88	18	0.38	0.55	(0.97,0.95)	0.24	(0.54,0.38)	0.40	403	63	365	60	273	99
0.88	18	0.38	0.65	(0.97,0.95)	0.24	(0.54,0.38)	0.40	403	70	365	71	273	99

Note: SS₁, SS₂, SS₃, SS₄ are sample sizes required per group for the individual endpoints for a power of at least 1 − β = 0.80.