. Author manuscript; available in PMC: 2017 Apr 1.

Published in final edited form as: Stat Methods Med Res. 2012 Dec 6;25(2):686–705. doi: 10.1177/0962280212465163

Table 2b. Empirical Type 1 error rates for 5-visit studies (ρ = 0.25) under various values for a₀ (true value of a), b₀ (true value of b), sample size n and drop out rate, with joint significance test (Joint Sig) and normal approximation (Norm Appr) methods used for the test of Δ = ab.

			no drop out				30% drop out

			Test of a	Test of b	Test of Δ = ab		Test of a	Test of b	Test of Δ = ab

a₀	b₀	n			Joint Sig	Norm App			Joint Sig	Norm Appr

0	0	100	0.0540	0.0435	0.0025	0.0000	0.0610	0.0525	0.0010	0.0000
		200	0.0530	0.0425	0.0010	0.0000	0.0535	0.0515	0.0030	0.0000
		300	0.0575	0.0525	0.0025	0.0000	0.0555	0.0450	0.0035	0.0000
		500	0.0490	0.0615	0.0025	0.0000	0.0490	0.0485	0.0020	0.0000
		1000	0.0450	0.0490	0.0015	0.0000	0.0505	0.0420	0.0020	0.0000
0	0.02	100	0.0495	0.1260	0.0065	0.0000	0.0505	0.0760	0.0045	0.0010
		200	0.0445	0.1710	0.0080	0.0005	0.0500	0.1060	0.0055	0.0005
		300	0.0500	0.2315	0.0110	0.0005	0.0555	0.1380	0.0065	0.0000
		500	0.0535	0.3720	0.0195	0.0025	0.0500	0.1960	0.0115	0.0010
		1000	0.0500	0.6215	0.0320	0.0075	0.0425	0.3245	0.0155	0.0015
	0.03	100	0.0550	0.1840	0.0065	0.0005	0.0550	0.1120	0.0060	0.0000
		200	0.0520	0.3195	0.0180	0.0020	0.0465	0.1635	0.0100	0.0005
		300	0.0550	0.4755	0.0245	0.0045	0.0555	0.2320	0.0155	0.0010
		500	0.0480	0.6885	0.0340	0.0035	0.0395	0.3540	0.0140	0.0020
		1000	0.0485	0.9350	0.0445	0.0180	0.0505	0.5990	0.0330	0.0040
	0.05	100	0.0545	0.4415	0.0210	0.0025	0.0495	0.2035	0.0080	0.0010
		200	0.0540	0.7415	0.0395	0.0055	0.0465	0.3830	0.0170	0.0015
		300	0.0540	0.8775	0.0470	0.0130	0.0530	0.5130	0.0270	0.0040
		500	0.0440	0.9795	0.0425	0.0205	0.0440	0.7455	0.0305	0.0055
		1000	0.0465	1.0000	0.0465	0.0325	0.0570	0.9540	0.0555	0.0240
0.10	0	100	0.1625	0.0590	0.0125	0.0005	0.1615	0.0480	0.0080	0.0005
		200	0.2830	0.0475	0.0155	0.0000	0.2890	0.0395	0.0125	0.0015
		300	0.4100	0.0590	0.0195	0.0020	0.3900	0.0505	0.0210	0.0005
		500	0.6215	0.0500	0.0355	0.0045	0.5905	0.0545	0.0325	0.0075
		1000	0.8900	0.0495	0.0445	0.0095	0.8860	0.0525	0.0460	0.0120
0.20	0	100	0.5400	0.0525	0.0285	0.0050	0.5250	0.0500	0.0265	0.0070
		200	0.8225	0.0495	0.0425	0.0120	0.8150	0.0585	0.0490	0.0120
		300	0.9345	0.0515	0.0470	0.0140	0.9430	0.0570	0.0560	0.0225
		500	0.9970	0.0470	0.0465	0.0280	0.9950	0.0505	0.0500	0.0290
		1000	1.0000	0.0455	0.0455	0.0385	1.0000	0.0485	0.0485	0.0345
0.30	0	100	0.8745	0.0500	0.0425	0.0120	0.8805	0.0435	0.0380	0.0170
		200	0.9915	0.0500	0.0495	0.0235	0.9930	0.0485	0.0485	0.0225
		300	0.9995	0.0515	0.0515	0.0355	0.9995	0.0500	0.0500	0.0300
		500	1.0000	0.0400	0.0400	0.0330	1.0000	0.0520	0.0520	0.0430

Table 2b. Empirical Type 1 error rates for 5-visit studies (ρ = 0.25) under various values for a0 (true value of a), b0 (true value of b), sample size n and drop out rate, with joint significance test (Joint Sig) and normal approximation (Norm Appr) methods used for the test of Δ = ab.

Table 2b. Empirical Type 1 error rates for 5-visit studies (ρ = 0.25) under various values for a₀ (true value of a), b₀ (true value of b), sample size n and drop out rate, with joint significance test (Joint Sig) and normal approximation (Norm Appr) methods used for the test of Δ = ab.