t-распределение
ад
Критические значения ta для различных уровней значимости а и числа степеней свободы v.
Пример: при v = 19 P(t>2,0930)=0,025, а P(|t|>2,0930)=0,05.
0.4 | 0.25 | 0.15 | 0.1 | 0.05 | 0.025 | 0.01 | 0.005 | 0.001 | 0.0005 | |
0.3249 | 1.0000 | 1.9626 | 3.0777 | 6.313* | 12.7062 | 31.8205 | 63.6567 | 311.30*7 | 636.61*9 | |
0.2*17 | 0.1165 | 1.1*62 | 1.1*56 | 2.9200 | 4.3027 | 6.9646 | 9.924* | 22.3271 | 31.5991 | |
0.27*7 | 0.7649 | 1.249* | 1.6377 | 2.3534 | 3.1*24 | 4.5407 | 5.1409 | 10.2145 | 12.9240 | |
0.2707 | 0.7407 | 1.1196 | 1.3332 | 2.131* | 2.7764 | 3.7469 | 4.6041 | 7.1732 | (.6103 | |
0.2672 | 0.7267 | 1.155» | 1.4759 | 2.0150 | 2.5706 | 3.3649 | 4.0321 | 5*934 | 6.8688 | |
0.264* | 0.7176 | 1.1342 | 1.439* | 1.9432 | 2.4469 | 3.1427 | 3.7074 | 5.2076 | 5.95*1 | |
0.2632 | 0.7111 | 1.1192 | 1.4149 | 1.8946 | 2.3646 | 2.99*0 | 3.4995 | 4.7*53 | 5.4079 | |
0.2619 | 0.7064 | 1.10*1 | 1.3961 | 1.8595 | 2.3060 | 2.1965 | 3.3554 | 4.500* | 5.0413 | |
0.2610 | 0.7027 | 1.0997 | 1.5130 | 1.1331 | 2.2622 | 2.1214 | 3.2491 | 4.296* | 4.7*0» | |
0.2602 | 0.699* | 1.0931 | 1.3722 | 1 «125 | 2.22(1 | 2.763* | 3.1693 | 4.1437 | 4.5*69 | |
0.2596 | 0.6974 | 1.0*77 | 1.3634 | 1.7959 | 2.2010 | 2.7111 | 1.105* | 4.0247 | 4.4370 | |
0.2590 | 0.6955 | 1.0*32 | 1.3562 | 1.7123 | 2.17** | 2.6*10 | 3.0545 | 3.9296 | 4.317* | |
0.25*6 | 0.693* | 1.0795 | 1.3502 | 1.7709 | 2.1604 | 2.6503 | 3.0123 | 3.(520 | 4.2201 | |
0.25*2 | 0.6924 | 1.0763 | 1.3450 | 1.7613 | 2.1441 | 2.6245 | 2.976* | 3.7*74 | 4.1405 | |
0.2579 | 0.6912 | 1.0735 | 1.3406 | 1.7531 | 2.1314 | 2.6025 | 2.9467 | 3.732* | 4.072* | |
0.2576 | 0.6901 | 1.0711 | 1.3361 | 1.7459 | 2.1199 | 2.5*35 | 2.920* | 3.6(62 | 4.0150 | |
0.2573 | 0.6*92 | 1.0690 | 1.3334 | 1.7396 | 2.109* | 2.5669 | 2.19*2 | 3.645* | 3.9651 | |
0.2571 | 0.6**4 | 1.0672 | 1.3304 | 1.7341 | 2.1009 | 2.5524 | 2.17*4 | 3.6105 | 3.9216 | |
0.2569 | 0.6(76 | 1.0655 | 1.7291 | 2.0930 | 2.5395 | 2.1609 | 3.5794 | 3.1*34 | ||
0.2567 | 0.6*70 | 1.0640 | 1.3253 | 1.7247 | 2.0*60 | 2.52*0 | 2.1453 | 3.5518 | 3*495 | |
0.2566 | 0.6*64 | 1.0627 | 1.3232 | 1.7207 | 2.0796 | 2.5176 | 2.1314 | 3.5272 | 3*193 | |
0.2564 | 0.6*5* | 1.0614 | 1.3212 | 1.7171 | 2.0739 | 2.50*3 | 2.818* | 3.5050 | 3.7921 | |
0.2563 | 0.6*53 | 1.0603 | 1.3195 | 1.7139 | 2.06*7 | 2.4999 | 2*073 | 3.4(50 | 3.7676 | |
0.2562 | 0.6*4* | 1.0593 | 1.3178 | 1.7109 | 2.0639 | 2.4922 | 2.7969 | 3.466* | 3.7454 | |
0.2561 | 0.6*44 | 1.05*4 | 1.3163 | 1.7011 | 2.0595 | 2.4151 | 2.7*74 | 3.4502 | 3.7251 | |
0.2560 | 0.6*40 | 1.0575 | 1.3150 | 1.7056 | 2.0555 | 2.47*6 | 2.77*7 | 3.4350 | 3.7066 | |
0.2559 | 0.6*37 | 1.0567 | 1.3137 | 1.7033 | 2.051* | 2.4727 | 2.7707 | 3.4210 | 3.6*96 | |
0.255* | 0.6*34 | 1.0560 | 1.3125 | 1.7011 | 2.0414 | 2.4671 | 2.7633 | 3.40*2 | 3.6739 | |
0.2557 | 0.6130 | 1.0553 | 1.3114 | 1.6991 | 2.0452 | 2.4620 | 2.7564 | 3.3962 | 3.6594 | |
0.2556 | 0.6*2* | 1.0547 | 1.3104 | 1.6973 | 2.0423 | 2.4573 | 2.7500 | 3.3*52 | 3.6460 | |
0.2553 | 0.6*16 | 1.0520 | 1.3062 | 1.6*96 | 2.0301 | 2.4377 | 2.723* | 3.3400 | 3.5911 | |
0.2550 | 0.6107 | 1.0500 | 1.3031 | 1.6*39 | 2.0211 | 2.4233 | 2.7045 | 3.3069 | 3.55Ю | |
0.2549 | 0.6*00 | 1.04*5 | 1.3006 | 1.6794 | 2.0141 | 2.4121 | 2.6*96 | 3.2*15 | 3.5203 | |
SO | 0.2547 | 0.6794 | 1.0473 | 1.29*7 | 1.6759 | 2.00*6 | 2.4033 | 2.677* | 3.2614 | 3.4960 |
0.2545 | 0.67*6 | 1.0455 | 1.295* | 1.6706 | 2.0003 | 2.3901 | 2.6603 | 3.2317 | 3.4602 | |
0.2545 | 0.67*0 | 1.0442 | 1.293* | 1.6669 | 1.9944 | 2.3*0* | 2.6479 | 3.210* | 3.4350 | |
SO | 0.2542 | 0.6776 | 1.0432 | 1.2922 | 1.6641 | 1.9901 | 2.3739 | 2.6317 | 3.1953 | 3.4163 |
0.2541 | 0.6772 | 1.0424 | 1.2910 | 1.6620 | 1.9*67 | 2.3615 | 2.6316 | 3.1133 | 3.4019 | |
0.2540 | 0.6770 | 1.041* | 1.2901 | 1.6602 | 1.9140 | 2.3642 | 2.6259 | 3.1737 | 3.3905 | |
0.2539 | 0.6765 | 1.0409 | 1.2**6 | 1.6577 | 1.9799 | 2.3571 | 2.6174 | 3.1595 | 3.3735 | |
0.253* | 0.6761 | 1.0400 | 1.2872 | 1.6551 | 1.9759 | 2.3515 | 2.6090 | 3.1455 | 3.3566 | |
0.2537 | 0.6757 | 1.0391 | 1.2*51 | 1.6525 | 1.9719 | 2.3451 | 2.6006 | 3.1315 | 3.339* | |
0.2536 | 0.6753 | 1.03*2 | 1.2*44 | 1.6499 | 1.9679 | 2.33*1 | 2.5923 | 3.1176 | 3.3213 | |
"" | 0.2533 | 0.6745 | 1.0364 | 1.2*16 | 1.6449 | 1.9600 | 2.3263 | 2.575* | 3.0902 | 3.2905 |
57?
Статистические таблицы
Факторы построения контрольных карт средних и размахов "За"
Число | ||||
наблюдений | Л | В | С | |
в подгруппах, п | ||||
1,88 | 3,27 | |||
1,02 | 2,57 | |||
0,73 | 2,28 | |||
0,58 | 2,11 | |||
0,48 | 2,00 | |||
• 0,42 | 0,08 | 1,92 | ||
0,37 | 0,14 | 1,86 | ||
0,34 | 0,18 | 1,82 | ||
0,31 | 0,22 | 1,78 | ||
0,29 | 0,26 | 1,74 | ||
0,27 | 0,28 | 1,72 | ||
0,25 | 0,31 | 1,69 | ||
0,24 | 0,33 | 1,67 | ||
0,22 | 0,35 | 1,65 | ||
0,21 | 0,36 | 1,64 | ||
0,20 | 0,38 | 1,62 | ||
0,19 | 0,39 | 1,61 | ||
0,19 | 0,40 | 1,60 | ||
0,18 | 0,41 | 1,59 |
Примечание: по использованию этих факторов см. Гл. 7 и Математические формулы.
Статистические таблицы