1、中华人民共和国国家标准非中心t分布分位数表The tables of quantites 。fthe non-central t-distribution 1 主题内容和适用范围本标准规定了非中心t分布分位数的计算方法和用表。本标准适用于用非中心t分布分位数的有关场合。2 引用标准GB/T 3358.1统计学术语第一部分一般统计术语3 术语与符号3. 1 术语除F列术语外，其它术语见GB/T3358. 1. 3. 1. 1 非中心t分布种连续概率分布，其密度函数为zG/T 15932-1995 川，8)=右iE;百无而-2r与土1J年(JfzEY一0 式中:8一一非中心t分布的非中心参数。n一
2、一非中心z分布的自由度。注z假设Y服从均值为、方差为2的正态分布N巾，(2)，Z/2服从自由度为n的x分布，若Y与Z相互独立，则xY仔服从非中心参数为， ;rc. n .1.) .:/ (一一一-言)言J石r(什川+川tz z, nh 给定自由度n，非中心参数占及分位数概率P，则相应的分位数x，应满足3( 2 ) F(x,) = f工f(t)dt= P ( 3 ) 4.2 数表的参数范围和表距zP二0.60，0.70，0.80，0.90，0.95，0.99，n=5(1)30,40(10)80 ,100 ,150 ,200 , 8=1(1)35 , 4.3 本标准所列数表未给出的分位数值，可用本
3、标准提供的数据内做线性内插M二三15)或抛物线内插(n15)汁算。5 应用示例应用示例见附录A(参考件GB/T 15932-1995 6 非中心t分布分位数Xp恤.6)表分位数概率P=0.60B 2 3 4 5 6 7 n 5 1.342 48 2.451 53 3.585 82 4. 734 93 5.892 00 7. 053 40 8.21728 6 1.326 70 2.415 64 3.525 99 4.649 97 5.781 86 6.91833 8.057 52 7 1.315 66 2. 390 69 3.在84294.590 43 5.704 31 6.822 87 7.
4、944 33 8 1.307 50 2. 372 37 3.453 59 4.546 40 5.646 70 6.751 71 7.85974 9 1.301 123 2. 358 33 3.430 05 4.512 50 5.602 18 6.696 56 7.794 01 10 1.296 26 2. 347 26 3.411 44 4.485 61 5.56674 6.652 51 7.741 40 11 1.29222 2. 338 28 3.396 35 4.463 76 5.537 84 6.61650 7. 698 29 12 . 288 88 2.330 87 3.383 88
5、 4.445 65 5.51382 6.586 50 7.662 30 13 1.286 06 2.324 65 3.373 40 4.430 40 5.493 55 6.561 10 7.631 78 14 1. 2吕366 2.319 34 3. 364 48 4.41738 5.476 20 6.539 33 7.605 56 15 1. 281 59 2.31477 3.356 78 4.406 14 5.461 18 6.520 45 7.582 78 16 1.279 78 2.31080 3.350 08 4. 396 33 5.448 06 6.503 91 7. 562 80
6、 17 1.278 19 2.307 30 3.344 19 4.38771 5.436 50 6.489 31 7.545 12 1日1.276 78 2.304 21 3.338 97 4.380 06 5.426 23 6.47632 7.52938 19 1.275 52 2.301 45 3.334 32 4.373 23 5.41705 6.464 70 7.515 26 20 1.27439 2.298 97 3.330 15 4.36710 5.408 79 6.454 22 7.502 53 21 1.27337 2.29674 3. 326 38 4.361 56 5.40
7、1 32 6.44474 7.49098 22 1.272 44 2.29471 3.322 97 4.356 53 5.394 54 6.436 11 7.48047 23 . 271 60 2.292 87 3.31986 4.351 95 5.388 35 6.428 23 7.47085 24 1.2708.1 2.291 18 3.31701 4.347 76 5.382 68 6.421 00 7.46202 25 1.27011 2.289 63 3.314 40 4.343 91 5.37747 6.414 34 7.45388 26 1.269 46 2.288 20 3.3
8、11 99 4.340 36 5. 372 65 6.408 19 7. 446 35 27 . 268 85 2.286 88 3.309 77 4. 337 08 5.368 20 6.40250 7.439 37 28 . 268 29 2.285 66 3.307 71 4.334 03 5.364 07 6.39721 7.43288 29 1.267 77 2.284 52 3.305 79 4.331 20 5.360 22 6.392 28 7.42683 30 1.26728 2. 283 46 3.304 00 4.328 56 5.356 63 6.387 68 7.42
9、117 40 1.263 76 2. 275 82 3.29113 4.309 50 5.330 65 6.354 24 7.37993 50 1.261 66 2.271 27 3.283 47 1.29814 5.315 10 6.334 13 7.354 97 60 1.260 27 2.268 25 3. 278 39 4.290 60 5.304 75 6.320 69 7.338 23 70 1.259 27 2.266 10 3.274 77 4.285 23 5.297 37 6.311 08 7.326 23 80 1.258 53 2.264 49 3.272 07 4.2
10、81 21 5.291 84 6.303 88 7.31720 100 1. 257 49 2.262 25 3.268 30 4.275 60 5.284 11 6.293 78 7.304 51 150 1.256 10 2.259 27 3.263 29 4.268 15 5.27383 6.280 30 7.287 53 200 1.255 41 2.257 78 3.260 79 4.264 43 5. 268 70 6.273 56 7.279 01 G/T 15932-1995 B 8 14 n 84 64 28 89 31 99 56 7 1 9.06767 8 1 8. 96
11、9 75 9 1 8.893 53 1018.83241 1118.78225 072 3,b0 044 407 776 . 888 9qdA哇111 15 1 8. 647 34 27643 91600 33483 20865 66555 88888 67890 且-A1i1A919 49 Qdno 32 55 00。-L? 22 23 1 8.515 61 24 1 8.505 16 25 1 8.495 51 26 1 8.486 59 2718.47830 996 536 036 765 444 888 890 223 401 8.40739 50 1 8.377 40 06958 2
12、6624 72165 543l9 33332 88888 00000 05 678ll 2日018.285 02 9 10.549 07 10.34050 10.192 26 10.08111 9.99447 9.924 91 9.867 75 9.819 88 9.779 18 9.744 11 9.713 56 9.686 70 9. 662 88 9.641 61 9.622 50 9.605 22 9.589 52 9. 575 19 9. 562 05 9. 549 96 9. 538 81 9.52847 9.518 87 9.509 92 9.501 57 9.493 75 9.
13、436 34 9.401 19 9.377 41 9.360 24 9.347 25 9.328 90 9.304 11 9.291 57 10 11.716 13 11. 483 35 11.31772 11.19342 l!. 096 43 11. 018 48 10.954 36 10.900 61 10.854 86 10.815 41 10.781 01 10.75073 10.72386 10.699 85 10.678 24 10.658 70 10.64092 10.624 69 10.609 79 10.59608 10.58341 10.571 66 10.56074 10
14、.550 57 10.541 05 10.532 15 10.466 52 10.426 13 10.398 70 10.37882 10. 363 75 10.342 38 10.313 38 10. 298 63 11 12.883 67 12.626 75 12.44382 12.306 43 12.199 14 12. 112 84 12.041 80 11.982 21 11.93144 11.887 62 11.849 39 11.815 72 11.78581 l!. 759 06 l!. 734 98 l!. 713 18 11.693 35 11.675 21 11.658
15、57 11.643 23 11.62905 11.615 90 11.60367 11.592 25 l!. 581 59 l!. 571 59 11.49773 11.452 07 l!. 420 93 11.398 30 ll. 381 09 ll. 356 62 ll. 323 23 11.306 18 12 14.051 56 13.77058 13.57040 13.41996 13.302 41 13. 207 80 13.12987 13.064 45 13.008 69 12.96054 12.918 50 12.881 45 12.848 52 12.819 05 12.79
16、2 51 12.76日4612.74657 12.726 55 12.70816 12.691 21 12.675 53 12.66097 12.64743 12.634 79 12.622 97 12.611 88 12.529 80 12.47884 12.443 97 12.418 55 12.39917 12.371 53 12.333 63 12.31417 13 15.21972 14.91472 14.697 33 14.533 88 14.406 11 14.303 22 14.21842 14.14721 14.086 48 14.034 01 13. 988 17 13.9
17、47 76 13.911 83 13.879 65 13日506613.824 38 13.800 45 13.778 54 13.758 42 13.739 86 13.722 68 13.706 73 13.691 88 13.67802 13.665 04 13.652 87 13.562 59 13.506 32 13.46770 13.439 48 13.41790 13.38705 13.344 54 13.322 60 16.38808 16.059 11 15.824 55 15.648 12 15.510 14 15. 399 00 15.30736 15. 230 38 1
18、5.1 .1 69 15.10792 15. 058 30 15.01454 14.975 62 14.940 75 14.909 31 14.880 81 14.854 84 14.831 06 14.809 21 14.789 05 14.770 38 14.753 04 14.736 89 14.721 81 14.707 69 14.694 44 14.595 97 14.534 41 14.492 04 14.461 00 14.437 22 14.403 12 14. 355 91 14.331 42 GB/T 15932-1995 B 15 21 09 66 63 50 52 7
19、7 11 56 7 1 16. 951 99 8 1 16.762 60 9 1 16.614 45 10 1 16.495 07 11 1 16.396 61 6480 82l8 3328 -482 32l1 6666 11ll 2345 11ll 16 1 16.081 70 9476 7236 9287 3063 0099 . 6655 1111 789O Il-2 62 60 94 08 QdQ0 55 l1 AqL 9。缸23 1 15.860 45 QdAA宫1iqd6583 8892 3198 8877 RJVRdRUFb 1111 -4567 2222 7l87 OE48 60
20、69 6532 7776 5565 111 8900 2234 303 090 363 618 554 555 111 nunn 567 80 1 15. 457 O 1001 15.41967 01 76 70 64 ?dqd 55 1I Anv 50 1tz 16 18.725 26 18.348 43 18.079 60 7. 877 29 17.71898 17.59138 17.48611 17.39762 17.32207 17.25673 17.19960 17.14917 17.10429 17.064 06 17.02777 16.99485 16.964 83 16.937
21、 34 16.912 05 16.888 70 16.867 07 16.846 97 16.828 24 16.81073 16.79433 16.778 93 16.66419 16.592 08 16.542 22 16.50552 16.477 31 16.436 65 16.379 88 16.350 14 17 19.894 02 19.49330 19.20737 18.99214 18.823 69 18. 687 88 18. 575 82 18.481 59 18.401 12 1日.33152 18.270 64 18.21690 18.16905 18.126 16 1
22、8.087 45 18.052 33 18.020 30 17.990 95 7. 963 95 7. 939 02 7. 915 92 17.89445 17.874 43 17.85572 17.838 19 17.82172 17.698 89 17.6215.1 17. 567 92 17.528 40 17.49797 17. 454 02 17.39242 17.35999 18 21.062 87 20.638 28 20.335 26 20. 107 12 19.92854 19.78454 19. 665 69 19.56574 19.48037 19.40651 19.34
23、1 90 19.284 84 19.234 04 19. 188 48 19.14737 19. 110 05 19.076 01 19.044 82 19.01612 18.98961 18. 965 04 18. 942 20 18.92090 18. 900 99 18.882 33 18.864 80 18.733 90 18.65130 18.593 97 18.551 64 18.518 99 18.47174 18.405 28 18.370 14 19 22. 231 79 21.783.14 2. 463 25 21. 222 23 21.033 52 20.881 34 2
24、0.755 72 20.650 05 20.559 78 20.481 67 20.413 33 20.352 97 20.299 22 20.251 00 20.207 49 20.167 98 20. 131 94 20.098 91 20.068 51 20.040 42 20.014 39 19.990 18 19.967 61 19.946 50 19.926 71 19.908 12 19.769 19 19.681 37 19.62032 19.575 18 19.540 31 19.489 78 19.41843 19.380马720 23.400 78 22.928 48 2
25、2. 591 33 22.337 42 22.138 61 21.978 25 21.85 86 21.734 49 21.639 33 21. 556 98 21.484 91 21.421 25 21. 364 55 21.313 69 21.267 78 21. 226 09 21. IS日05 21. 153 18 21.121 08 21.09113 21.063 93 21. 038 36 21.014 52 20.992 21 20.971 30 20.951 66 20.804 71 20.711 69 20.646 93 20.598 99 20.561 91 20.508
26、09 20.431 86 20.391 24 24.569日224.073 69 23.719 48 23. 452 71 23.20 79 23.075 27 22. 936 11 22.81904 22.71900 22. 632 40 22.556 62 22.489 67 22.430 03 22. 376 52 22. 328 21 22.284 35 22.244 31 22.207 61 22.17382 22.14260 22.11365 22.086 72 22.061 60 22.038 11 22.016 08 21.995 38 21.84044 21.742 23 2
27、1.673 78 21.623 04 21.583 76 21.526 65 21.445 53 21. 402 15 G/T 15932-1995 23 28 22 24 25 26 27 0506566874403884180113461657313338 99700346794264777179828l0239838442 8878926387885982026335841962075593 3l46472090259384062963086377040451 72853l0977654433322Ill-00087766544 55444443333333333333333333222
28、22222 2222222222222222222222222222222222 5678901234567890123456789000ooom 11l1111ll122222222223456781 112 26.908 02 26.364 25 25.975 97 25. 683 48 25.454 38 25.269 54 25.11688 24.988 42 24.878 62 24.783 57 24.700 36 24.626 84 24.561 33 24.502 54 24.449 46 24.401 24 24.357 23 24.31687 24.279 71 24.24
29、5 36 24.21350 24.18387 24.156 22 24. 130 35 24. 106 09 24.083 28 23. 912 42 23. 803 88 23.728 07 23. 671 76 23. 628 09 23.564 43 23.473 54 23.42461 28.077 19 27.50961 27. 104 29 26. 798 95 26.559 77 26.366 77 26.207 37 26.073 22 25.958 56 25.859 28 25.772 37 25.695 56 25.627 12 25.565 70 25.510 23 2
30、5.459 85 25.413 85 25.371 67 25.332 82 25.296 91 25.263 61 25.232 62 25.203 71 25.17666 25.151 29 25. 127 43 24. 948 63 24.834 95 24.75547 24.696 39 24.650 53 24.583 60 24.487 83 24.436 13 29.246 37 28.654 99 28.232 66 27.91447 27.665 21 27.46406 27.297 92 27. 158 09 27. 038 56 26. 935 06 26.844 45
31、26.764 36 26.693 00 26.628 95 26.571 09 26.518 54 26.47056 26.426 56 26.386 03 26.348 57 26.313 82 26.281 48 26. 251 31 26. 223 07 26.19659 26.171 69 25. 981 97 25.866 15 25.783 02 25.721 17 25.673 13 25.602 94 25.502 30 25.44781 30.415 59 29.800 41 29.361 06 29.030 03 28.770 69 28.561 41 28.388 53
32、28.243 02 28.11863 28.01091 27.91659 27.83323 27.758 94 27.69226 27.63203 27.57732 27.527 35 27.481 53 27.439 33 27.40031 27.364 11 27. 330 43 27.29900 27. 269 59 27.241 99 27.21605 27.021 42 26.897 48 26.810 70 26.746 10 26.695 88 26.622 43 26.516 93 26.459 66 31.584 83 30.945 86 30.489 49 30.145 6
33、2 29.876 22 29.658 79 29.479 18 29.327 99 29.19874 29.086 81 28.988 80 28.902 16 28.824 95 28.755 65 28.693 04 28.636 16 28. 584 22 28.536 58 28.492 70 28.452 13 28.414 49 28.37947 28.346 77 28.316 18 28.287 48 28.260 50 28.057 97 27.92892 27. 838 50 27. 771 14 27.71875 27. 642 06 27.531 70 27.471 6
34、5 32.754 09 32.091 33 31.61795 31.261 26 30.981 78 30.756 22 30.569 8日30.413 02 30.278 91 30.162 76 30.061 05 29.971 15 29.891 02 29.819 09 29.754 11 29. 695 07 29.641 15 29.591 69 29.546 14 29.504 02 29.464 94 29.428 57 29.394 62 29.362 85 29. 333 05 29.305 02 29.094 61 28.960 46 28.866 41 28.796 3
35、0 28.741 74 28.661 82 28.546 61 28.483 78 GB/T 15932-1995 E 29 35 n 73528 38493 36667 23478 92730 33222 33333 56789 10 I 31.85368 18266 60173 08983 69533 64321 11111 33333 12345 11lIl 16 1 31.040 19 171 30.95714 创00 33 89 20 1 30.754 03 47475449814 18694755663 86955729891 94951740743 66555444331 000
36、00000000 33333333333 12345678900 22222222234 50 1 29. 992 09 601 29.89141 70 I 29. 821 56 80 I 29.764 84 1001 29.68169 1501 29.561 64 200 I 29.496 03 30 35.092 67 34. 382 35 33.874 96 33.492 60 33. 193 00 32.951 18 32.751 38 32.583 18 32.439 36 32.314 80 32.205 71 32.10927 32.023 31 31.946 13 31.876
37、40 31.81304 31.755 18 31.702 10 31.653 20 31.607 98 31.566 02 31.526 97 31.490 52 31.456 39 31.424 38 31.394 27 31.168 13 31.023 80 30.922 50 30.846 92 30.788 04 30.701 67 30.576 79 30.508 40 31 36.261 97 35.527 88 35.003 50 34.608 32 34.298 65 34.048 70 33.842 18 33. 668 31 33.51965 33.390 87 33.27
38、8 09 33.17839 33.0日95133.009 72 32. 937 62 32.872 11 32.812 27 32.757 38 32.706 81 32.660 04 32.616 64 32.576 25 32.538 55 32.503 25 32.47014 32.438 99 32.205 00 32.055 58 31.950 68 31.872 36 31.811 33 31. 721 74 31. 592 04 31.52089 32 37.431 30 36. 673 44 36.132 05 35.724 05 35.404 34 35. 146 25 34
39、. 933 01 34. 753 48 34. 599 96 34.466 98 34.350 51 34.24754 34. 155 76 34.073 34 33. 998 88 33. 931 21 33.869 40 33.812 70 33.760 46 33.71215 33.667 32 33.625 59 33.586 63 33.550 16 33. 515 94 33.483 76 33.241 92 33.087 43 32. 978 92 32.897 88 32.834 69 32.74190 32.607 39 32.533 47 33 38.600 64 37.8
40、1901 37.26063 36目8398036.51003 36.243 83 36.023 87 35.838 67 35. 680 30 35.543 12 35.422 97 35.316 73 35.222 03 35.137 01 35.06017 34.990 35 34.926 58 34.868 06 34.814 15 34.764 30 34.71日0334.674 96 34.634 76 34.597 12 34. 561 80 34.528 58 34.27891 34. 119 35 34.007 24 33.92347 33.858 14 33. 762 14
41、33. 622 83 33. 546 15 34 39. 769 98 38.964 59 38.389 22 37.955 57 37.615 75 37.341 42 37.114 74 36.923 88 36.760 67 36.61929 36.495 45 36.385 95 36.288 35 36.200 70 36.121 50 36.049 52 35.983 78 35.923 46 35. 867 89 35.81648 35.768 78 35.724 38 35.682 92 35.644 11 35.607 69 35.573 44 35.315 94 35. 1
42、51 32 35.035 61 34.949 13 34.881 65 34. 782 46 34. 638 36 34.558 92 40.939 35 40. 1!0 18 39.51782 39.071 36 38.721 49 38.439 04 38. 205 64 38. 009 12 37. 841 06 37.69547 37.567 96 37.455 20 37.354 68 37.264 42 37.182 86 37.108 73 37. 041 03 36. 978 90 36. 921 65 36.868 71 36.81957 36.773 83 36.731 1
43、3 36.691 15 3日65363 36.618 34 36.353 02 36.183 35 36.064 04 35.97485 35.905 23 35.802 84 35. 653 96 35.571 77 G/T 1 5932 -1 995 分位数概率P=0.70占l 2 3 4 5 6 7 5 1.675 79 2.852 82 4.073 24 5.319 93 6.581 72 7.85241 9. 128 60 6 1.648 51 2.793 08 3.97494 5. 180 97 6.401 77 7.63167 8.867 35 7 1.629 53 2.751
44、67 3.906 51 5.083 65 6.27510 7.475 68 8.682 24 8 1.615 58 2.721 29 3.856 12 5.011 62 6. 180 92 7.359 29 8.54374 9 1.604 89 2.698 05 3.81747 4.956 13 6.108 05 7.268 94 8.435 95 10 1.596 45 2.679 72 3.786 88 4.912 04 6.049 94 7.196 66 8.34951 11 1.589 60 2.664 88 3.762 07 4.876 15 6.002 48 7.13745 8.
45、278 55 12 1. 583 95 2.652 62 3.741 55 4.846 37 5.962 97 7.088 03 8.219 18 13 1.579 19 2.642 33 3.724 28 4.821 26 5.929 55 7.04612 8.168 73 14 1.575 14 2.633 57 3.709 56 4.799 78 5.90090 7.01012 8.125 30 15 1. 57164 2.626 01 3.696 85 4.781 21 5.876 07 6.978 83 8. 087 49 16 1.568 60 2.61944 3.685 78 4
46、.765 00 5.854 34 6.951 40 8.051 27 17 1.565 92 2. 613 66 3.676 04 4.75071 5.835 15 6. 927 12 8.024 84 18 1. 563 56 2. 608 55 3. 667 41 4.738 02 5.818 08 6.905 50 7.99856 19 1.561 44 2.603 98 3.659 71 4.726 69 5.802 80 6.886 10 7.974 97 20 1.55954 2.599 89 3. 652 79 4.71650 5.789 04 6.868 60 7.953 65
47、 21 1.557 83 2.596 20 3.646 55 4. 707 28 5.776 58 6.85274 7.93429 22 1.556 28 2.592 85 3.640 89 4. 698 91 5.765 25 6.838 29 7.91663 23 1.554 86 2.589 80 3.635 72 4. 691 28 5.754 90 6.825 06 7.90046 24 1.553 56 2.58701 3.631 00 4. 684 28 5.745 40 6.812 92 7. 885 58 25 1.552 37 2.584 44 3.626 66 4.677
48、 85 5.736 65 6.801 72 7.871 85 26 1.551 28 2.582 09 3.622 66 4. 671 92 5.728 58 6.791 37 7.85914 27 1.550 26 2.579 90 3.61896 4. 666 42 5.721 10 6.781 77 7.847 34 28 1.54932 2.577 88 3.615 53 4. 661 33 5.714 15 6.772 84 7.83636 29 1.548 45 2.576 00 3.612 34 4. 656 58 5.707 67 6.76451 7.826 10 30 1.5
49、47 63 2.57425 3.609 36 4.652 15 5.701 62 6.756 73 7.81651 40 1. 541 75 2.561 60 3.587 88 4.620 11 5.657 67 6.699 92 7.746 19 50 1.53825 2. 554 08 3.575 07 4.60091 5.631 21 6.665 49 7. 703 28 60 1.535 92 2. 549 08 3.566 56 4.588 13 5.613 51 6.642 37 7.67433 70 1.53426 2. 545 53 3.560 50 4.579 01 5.600 85 6.625 76 7.65347 80 1.533 02 2. 542 87 3.555 96 4.57217 5.591 34 6.613 26 7. 637 71 100 1.531 29 2.539 15 3.549 62 4.562 60 5.578 01 6.595 68 7. 615 49 150 1.528 98 2.534 21 3.541 18 4.549 86 5.560 18 6
