Research Article
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 |
|
|