Research Article
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 |
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