. 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 2a. Empirical Type 1 error rates for 2-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	0.0595	0.0505	0.0030	0.0000	0.0455	0.0540	0.0015	0.0000
		200	0.0540	0.0600	0.0050	0.0005	0.0500	0.0525	0.0025	0.0010
		300	0.0490	0.0510	0.0025	0.0000	0.0540	0.0475	0.0015	0.0000
		500	0.0535	0.0455	0.0035	0.0000	0.0545	0.0415	0.0015	0.0000
		1000	0.0490	0.0480	0.0025	0.0000	0.0540	0.0595	0.0030	0.0000
0	0.10	100	0.0520	0.1295	0.0070	0.0005	0.0500	0.1240	0.0050	0.0000
		200	0.0515	0.2200	0.0110	0.0020	0.0610	0.1840	0.0090	0.0000
		300	0.0570	0.2985	0.0160	0.0020	0.0465	0.2505	0.0095	0.0000
		500	0.0510	0.4315	0.0240	0.0025	0.0535	0.3845	0.0215	0.0030
		1000	0.0520	0.7295	0.0380	0.0085	0.0490	0.6380	0.0315	0.0050
	0.20	100	0.0495	0.3820	0.0185	0.0055	0.0495	0.3065	0.0155	0.0010
		200	0.0485	0.6325	0.0290	0.0050	0.0470	0.5045	0.0180	0.0035
		300	0.0515	0.7840	0.0395	0.0065	0.0510	0.6880	0.0315	0.0080
		500	0.0485	0.9505	0.0440	0.0185	0.0535	0.9010	0.0485	0.0140
		1000	0.0515	0.9995	0.0515	0.0305	0.0500	0.9970	0.0500	0.0265
	0.30	100	0.0455	0.6745	0.0300	0.0075	0.0535	0.5720	0.0260	0.0020
		200	0.0525	0.9260	0.0475	0.0170	0.0550	0.8505	0.0450	0.0120
		300	0.0430	0.9845	0.0430	0.0205	0.0475	0.9620	0.0460	0.0150
		500	0.0505	1.0000	0.0505	0.0335	0.0420	0.9975	0.0420	0.0260
0.25	0	100	0.2490	0.0495	0.0145	0.0025	0.2480	0.0515	0.0135	0.0015
		200	0.4330	0.0520	0.0170	0.0005	0.4370	0.0445	0.0200	0.0035
		300	0.6030	0.0545	0.0310	0.0040	0.5675	0.0525	0.0335	0.0035
		500	0.8055	0.0530	0.0435	0.0140	0.8110	0.0515	0.0435	0.0095
		1000	0.9795	0.0470	0.0460	0.0190	0.9805	0.0485	0.0470	0.0225
0.50	0	100	0.7355	0.0390	0.0240	0.0045	0.7430	0.0605	0.0505	0.0135
		200	0.9455	0.0440	0.0410	0.0160	0.9595	0.0555	0.0540	0.0205
		300	0.9930	0.0495	0.0490	0.0255	0.9930	0.0470	0.0470	0.0250
		500	1.0000	0.0560	0.0560	0.0420	0.9995	0.0490	0.0490	0.0370
0.75	0	100	0.9790	0.0480	0.0470	0.0205	0.9820	0.0570	0.0560	0.0270
		200	1.0000	0.0575	0.0575	0.0380	1.0000	0.0495	0.0495	0.0365
		300	1.0000	0.0500	0.0500	0.0375	1.0000	0.0555	0.0555	0.0435
		500	1.0000	0.0495	0.0495	0.0420	1.0000	0.0545	0.0545	0.0465

Table 2a. Empirical Type 1 error rates for 2-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 2a. Empirical Type 1 error rates for 2-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.