From: Confidence intervals construction for difference of two means with incomplete correlated data
Bivariate normal distribution | ||||||||||||
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ρ | δ | μ 1 | μ 2 | T 3 | T 4 | T 5 | W s | W a | B 1 | B 2 | B 3 | B 4 |
-0.9 | -0.25 | 0 | 0.25 | 0.4697 | 0.5652 | 0.4787 | 0.4000 | 0.5187 | 0.4583 | 0.5217 | 0.5185 | 0.5217 |
0 | 1 | 1 | 0.4464 | 0.5968 | 0.4190 | 0.4304 | 0.4151 | 0.4815 | 0.4340 | 0.4478 | 0.4340 | |
0.5 | 2 | 1.5 | 0.4386 | 0.6170 | 0.4796 | 0.6324 | 0.4796 | 0.4898 | 0.4792 | 0.5000 | 0.4800 | |
-0.5 | -0.25 | 0 | 0.25 | 0.4915 | 0.5577 | 0.5258 | 0.4396 | 0.5258 | 0.5000 | 0.5088 | 0.5246 | 0.5088 |
0 | 1 | 1 | 0.4444 | 0.5577 | 0.4800 | 0.4824 | 0.4800 | 0.4706 | 0.4286 | 0.4423 | 0.4490 | |
0.5 | 2 | 1.5 | 0.4915 | 0.5814 | 0.4950 | 0.6081 | 0.4902 | 0.4286 | 0.4545 | 0.4898 | 0.4773 | |
-0.1 | -0.25 | 0 | 0.25 | 0.4776 | 0.6042 | 0.4800 | 0.4330 | 0.4800 | 0.4912 | 0.4727 | 0.4630 | 0.4630 |
0 | 1 | 1 | 0.4918 | 0.5714 | 0.4839 | 0.4773 | 0.4839 | 0.4583 | 0.4490 | 0.4783 | 0.4681 | |
0.5 | 2 | 1.5 | 0.5862 | 0.6563 | 0.5200 | 0.6724 | 0.5132 | 0.4750 | 0.4878 | 0.4878 | 0.4878 | |
0 | -0.25 | 0 | 0.25 | 0.5077 | 0.5641 | 0.5233 | 0.4598 | 0.5233 | 0.5385 | 0.5385 | 0.5600 | 0.5600 |
0 | 1 | 1 | 0.5333 | 0.5769 | 0.5000 | 0.4891 | 0.5000 | 0.5085 | 0.5085 | 0.5000 | 0.5000 | |
0.5 | 2 | 1.5 | 0.5000 | 0.5957 | 0.5116 | 0.6053 | 0.5057 | 0.4167 | 0.4167 | 0.4286 | 0.4286 | |
0.1 | -0.25 | 0 | 0.25 | 0.5256 | 0.5652 | 0.5000 | 0.4205 | 0.5000 | 0.5000 | 0.5192 | 0.5000 | 0.5094 |
0 | 1 | 1 | 0.4545 | 0.5625 | 0.4778 | 0.4681 | 0.4725 | 0.5179 | 0.5273 | 0.5179 | 0.5000 | |
0.5 | 2 | 1.5 | 0.5694 | 0.6486 | 0.5057 | 0.6212 | 0.5057 | 0.5741 | 0.5660 | 0.5556 | 0.5556 | |
0.5 | -0.25 | 0 | 0.25 | 0.5139 | 0.6604 | 0.4805 | 0.4167 | 0.4805 | 0.4510 | 0.4630 | 0.4615 | 0.4815 |
0 | 1 | 1 | 0.4930 | 0.6667 | 0.5513 | 0.5057 | 0.5584 | 0.4746 | 0.5088 | 0.5077 | 0.5283 | |
0.5 | 2 | 1.5 | 0.5067 | 0.7027 | 0.5455 | 0.6604 | 0.5373 | 0.4878 | 0.5238 | 0.5439 | 0.5250 | |
0.9 | -0.25 | 0 | 0.25 | 0.5057 | 0.8286 | 0.5556 | 0.4028 | 0.5769 | 0.5000 | 0.4694 | 0.4798 | 0.4800 |
0 | 1 | 1 | 0.4624 | 0.8333 | 0.5000 | 0.5000 | 0.5000 | 0.5185 | 0.4565 | 0.5227 | 0.5000 | |
0.5 | 2 | 1.5 | 0.4943 | 0.7733 | 0.4074 | 0.6538 | 0.4231 | 0.4630 | 0.5319 | 0.4775 | 0.5435 | |
Bivariate t-distribution | ||||||||||||
-0.9 | -0.25 | 0 | 0.25 | 0.5195 | 0.6977 | 0.4891 | 0.5000 | 0.4930 | 0.4750 | 0.4375 | 0.4444 | 0.4318 |
0 | 1 | 1 | 0.4706 | 0.6905 | 0.5349 | 0.5152 | 0.5231 | 0.4717 | 0.5690 | 0.5469 | 0.5769 | |
0.5 | 2 | 1.5 | 0.5362 | 0.7436 | 0.5000 | 0.5469 | 0.5556 | 0.5192 | 0.4800 | 0.5085 | 0.4898 | |
-0.5 | -0.25 | 0 | 0.25 | 0.5915 | 0.6818 | 0.4684 | 0.4426 | 0.4426 | 0.4915 | 0.5085 | 0.5000 | 0.5000 |
0 | 1 | 1 | 0.4928 | 0.7143 | 0.4800 | 0.4531 | 0.4462 | 0.4912 | 0.4576 | 0.4737 | 0.4815 | |
0.5 | 2 | 1.5 | 0.5256 | 0.7021 | 0.5056 | 0.5526 | 0.5526 | 0.4167 | 0.3878 | 0.3529 | 0.3696 | |
-0.1 | -0.25 | 0 | 0.25 | 0.3971 | 0.5526 | 0.4937 | 0.4667 | 0.4667 | 0.5102 | 0.5000 | 0.5333 | 0.5217 |
0 | 1 | 1 | 0.5270 | 0.7250 | 0.5395 | 0.5325 | 0.5325 | 0.4667 | 0.4655 | 0.4630 | 0.4717 | |
0.5 | 2 | 1.5 | 0.4605 | 0.5750 | 0.4444 | 0.4810 | 0.4810 | 0.5000 | 0.4717 | 0.5106 | 0.5000 | |
0 | -0.25 | 0 | 0.25 | 0.5309 | 0.6341 | 0.5000 | 0.4819 | 0.4878 | 0.5088 | 0.5088 | 0.4902 | 0.4902 |
0 | 1 | 1 | 0.5067 | 0.6389 | 0.4805 | 0.4865 | 0.4800 | 0.5667 | 0.5667 | 0.5660 | 0.5660 | |
0.5 | 2 | 1.5 | 0.5574 | 0.7097 | 0.5132 | 0.5068 | 0.5000 | 0.5200 | 0.5200 | 0.5435 | 0.5435 | |
0.1 | -0.25 | 0 | 0.25 | 0.5714 | 0.5294 | 0.5556 | 0.5139 | 0.5139 | 0.5532 | 0.5652 | 0.5814 | 0.5814 |
0 | 1 | 1 | 0.5211 | 0.7813 | 0.5833 | 0.5833 | 0.5833 | 0.5098 | 0.4902 | 0.5000 | 0.4898 | |
0.5 | 2 | 1.5 | 0.4925 | 0.6563 | 0.4800 | 0.5000 | 0.5000 | 0.5208 | 0.5106 | 0.5116 | 0.5116 | |
0.5 | -0.25 | 0 | 0.25 | 0.5493 | 0.6744 | 0.4717 | 0.4833 | 0.4833 | 0.4821 | 0.5000 | 0.5000 | 0.4800 |
0 | 1 | 1 | 0.4625 | 0.7083 | 0.4444 | 0.4861 | 0.4861 | 0.4386 | 0.4912 | 0.4688 | 0.4630 | |
0.5 | 2 | 1.5 | 0.5161 | 0.6744 | 0.5172 | 0.5286 | 0.5286 | 0.5455 | 0.5283 | 0.5085 | 0.5306 | |
0.9 | -0.25 | 0 | 0.25 | 0.5455 | 0.8803 | 0.4348 | 0.5088 | 0.5088 | 0.4677 | 0.4677 | 0.4926 | 0.4754 |
0 | 1 | 1 | 0.5570 | 0.8534 | 0.5652 | 0.6042 | 0.6042 | 0.5000 | 0.5000 | 0.5194 | 0.4706 | |
0.5 | 2 | 1.5 | 0.4348 | 0.8333 | 0.5714 | 0.4821 | 0.4821 | 0.5000 | 0.5357 | 0.4898 | 0.5370 |