A New Approach to Astronomical Data Analysis Based on Multiple Variables

Table 4

Power estimated with the first proposed test (t1) for (a1) multivariate truncated normal sample.

n	d
	5	10	15	20	25	30	35	40	45	50
100	0.07478	0.162	0.18902	0.21238	0.233184	0.246853	0.256389	0.263498	0.268558	0.274604
150	0.1026	0.20196	0.242847	0.269775	0.288792	0.298597	0.305523	0.312215	0.31536	0.31962
200	0.13706	0.23465	0.284347	0.309	0.32422	0.332747	0.338497	0.34391	0.347029	0.34996
250	0.17176	0.26479	0.316347	0.338605	0.351276	0.358063	0.364303	0.367873	0.371764	0.374508
300	0.2027	0.29381	0.340387	0.36097	0.372216	0.379727	0.384577	0.388495	0.390798	0.394482
350	0.22804	0.31744	0.361527	0.379335	0.390308	0.397063	0.402117	0.40634	0.409131	0.412306
400	0.25244	0.33986	0.378747	0.39601	0.405784	0.41297	0.416834	0.422085	0.424927	0.42763
450	0.2712	0.35754	0.3955	0.410765	0.420452	0.42645	0.432037	0.435383	0.438587	0.44146
500	0.28732	0.37477	0.409047	0.42406	0.432736	0.43908	0.444149	0.448043	0.451011	0.454104
550	0.3016	0.38936	0.420853	0.435605	0.444908	0.451113	0.455557	0.459428	0.462836	0.465366
600	0.31362	0.40175	0.43216	0.44653	0.455652	0.462357	0.465709	0.47019	0.473744	0.476916
650	0.3267	0.41432	0.442807	0.456925	0.465796	0.47208	0.476157	0.479868	0.483411	0.485982
700	0.33468	0.42642	0.45248	0.46601	0.47554	0.48069	0.485497	0.489483	0.492962	0.495248
750	0.34502	0.43565	0.462727	0.47478	0.484152	0.490083	0.494371	0.49859	0.501191	0.504396
800	0.35666	0.44593	0.470493	0.48322	0.492392	0.49834	0.50218	0.506488	0.510542	0.512518
850	0.36584	0.4561	0.47894	0.491695	0.500476	0.506613	0.510571	0.514313	0.517993	0.520508
900	0.37444	0.46257	0.48522	0.499045	0.508176	0.51426	0.518591	0.522615	0.52564	0.528576
950	0.3843	0.47354	0.49362	0.5067	0.515516	0.520923	0.526234	0.529033	0.53254	0.535292
1000	0.39536	0.48021	0.500273	0.513705	0.522092	0.528797	0.53306	0.536483	0.540473	0.542114