TABLE 1.

Estimates of size and power for three log rank tests under simulation design 1 with $M=30$ clusters and heavy (50%) censoring. Positive/Negative cluster size informativeness indicates that larger/smaller clusters tended to have longer survival times. Group size informativeness indicates which group tended to be over-represented in clusters with longer survival times. LR = log rank, SLR = stratified log rank, CWLR = cluster size-weighted log rank, GWLR = group size-weighted log rank, and Frailty = frailty model

Informativeness			Power
Group Size	Cluster Size	Test	Size	$\beta =0.2$	$\beta =0.4$	$\beta =0.6$	$\beta =0.8$
None	None	LR	0.054	0.10	0.22	0.44	0.67
		SLR	0.048	0.16	0.49	0.83	0.97
		CWLR	0.061	0.11	0.22	0.42	0.64
		GWLR	0.055	0.14	0.37	0.68	0.89
		Frailty	0.045	0.17	0.50	0.84	0.98
	Positive	LR	0.044	0.09	0.23	0.45	0.67
		SLR	0.051	0.17	0.50	0.85	0.97
		CWLR	0.057	0.08	0.17	0.30	0.47
		GWLR	0.055	0.11	0.24	0.47	0.70
		Frailty	0.042	0.17	0.51	0.86	0.98
	Negative	LR	0.043	0.11	0.33	0.62	0.84
		SLR	0.050	0.16	0.48	0.81	0.96
		CWLR	0.055	0.10	0.26	0.48	0.69
		GWLR	0.055	0.16	0.47	0.78	0.95
		Frailty	0.057	0.16	0.50	0.84	0.97
Group 0	None	LR	1.000	1.00	1.00	1.00	1.00
		SLR	0.058	0.13	0.36	0.70	0.90
		CWLR	1.000	1.00	1.00	1.00	1.00
		GWLR	0.055	0.10	0.26	0.53	0.79
		Frailty	0.095	0.29	0.61	0.89	0.97
	Positive	LR	1.000	1.00	1.00	1.00	1.00
		SLR	0.052	0.11	0.35	0.63	0.85
		CWLR	0.994	1.00	1.00	1.00	1.00
		GWLR	0.057	0.08	0.20	0.37	0.60
		Frailty	0.074	0.23	0.53	0.79	0.95
	Negative	LR	1.000	1.00	1.00	1.00	1.00
		SLR	0.045	0.14	0.41	0.75	0.93
		CWLR	1.000	1.00	1.00	1.00	1.00
		GWLR	0.053	0.11	0.33	0.59	0.85
		Frailty	0.097	0.32	0.68	0.91	0.98
Group 1	None	LR	1.000	1.00	1.00	0.99	0.97
		SLR	0.051	0.13	0.37	0.70	0.91
		CWLR	1.000	1.00	0.98	0.94	0.83
		GWLR	0.058	0.14	0.33	0.59	0.81
		Frailty	0.090	0.07	0.22	0.54	0.81
	Positive	LR	1.000	1.00	0.98	0.95	0.86
		SLR	0.053	0.15	0.38	0.67	0.89
		CWLR	1.000	0.98	0.94	0.87	0.72
		GWLR	0.052	0.12	0.25	0.46	0.63
		Frailty	0.075	0.08	0.25	0.52	0.78
	Negative	LR	1.000	1.00	0.97	0.86	0.64
		SLR	0.048	0.14	0.43	0.73	0.94
		CWLR	1.000	1.00	0.98	0.89	0.72
		GWLR	0.066	0.16	0.40	0.67	0.88
		Frailty	0.093	0.07	0.25	0.57	0.85