TABLE 1.

Sample sizes $n=n_C=n_T$ for the co‐primary and multiple primary endpoints for overall power $1-\beta \approx 0.80$, $\alpha =0.025$, $k_m=2,K=4$ using the MUSE trial data

SLEDAI		PGA		BILAG		Taper
${\delta }_1$	${\sigma }_1^2$	${\delta }_2$	${\sigma }_2^2$	$({\pi }_{T3},{\pi }_{C3})$	${\delta }_3^{\ast }$	$({\pi }_{T4},{\pi }_{C4})$	${\delta }_4^{\ast }$	$n_{co}$	$n_{mult}$	$S{S}_1$	$S{S}_2$	$S{S}_3$	$S{S}_4$
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: $S{S}_1,S{S}_2,S{S}_3,S{S}_4$ are sample sizes required per group for the individual endpoints for a power of at least $1-\beta =0.80$.