A New Approach to Astronomical Data Analysis Based on Multiple Variables

Table 5

Power estimated with the second proposed test (t2) for (a1) multivariate truncated normal sample.

n	d
	5	10	15	20	25	30	35	40	45	50
100	0.08706	0.18502	0.226047	0.252485	0.271076	0.282643	0.291117	0.296515	0.300667	0.304674
150	0.13546	0.23222	0.285373	0.309035	0.323816	0.331347	0.338	0.342938	0.34548	0.349036
200	0.18192	0.2784	0.325107	0.34561	0.358504	0.365677	0.37036	0.374968	0.377864	0.380338
250	0.22294	0.31424	0.35638	0.3745	0.385236	0.390967	0.39684	0.400335	0.403776	0.406614
300	0.25302	0.3428	0.380947	0.396105	0.406404	0.413237	0.417974	0.42171	0.424169	0.427572
350	0.27758	0.36682	0.401273	0.414785	0.426112	0.432093	0.436494	0.44055	0.443536	0.446374
400	0.29494	0.38808	0.418153	0.432625	0.442024	0.448197	0.453223	0.456693	0.459744	0.46292
450	0.31186	0.40588	0.433913	0.447665	0.45702	0.462753	0.468123	0.471495	0.47482	0.477348
500	0.32654	0.4217	0.447933	0.46099	0.470884	0.47675	0.481574	0.484995	0.488813	0.491202
550	0.34116	0.43654	0.460153	0.473895	0.483248	0.489407	0.493343	0.49755	0.50118	0.503004
600	0.35716	0.449	0.472707	0.485105	0.49486	0.500793	0.505191	0.509313	0.512644	0.515478
650	0.3721	0.46175	0.483113	0.496515	0.5059	0.512023	0.516177	0.5202	0.523047	0.525594
700	0.38478	0.47148	0.493733	0.50638	0.515872	0.522043	0.526271	0.53045	0.533	0.53509
750	0.39934	0.48141	0.503773	0.516015	0.524692	0.53087	0.535954	0.539903	0.542709	0.54521
800	0.41464	0.49258	0.512833	0.525215	0.533808	0.54015	0.545054	0.54851	0.552324	0.554448
850	0.42922	0.50198	0.521573	0.534	0.543068	0.5493	0.553251	0.557185	0.561124	0.562808
900	0.44046	0.50967	0.52952	0.54209	0.550968	0.5568	0.561949	0.56581	0.568938	0.571622
950	0.4541	0.51873	0.536893	0.549885	0.558672	0.565363	0.569234	0.572825	0.576489	0.5789
1000	0.46576	0.52686	0.54374	0.557295	0.565496	0.572923	0.577389	0.58106	0.584838	0.586738