Теория статистического вывода - 76 стр.

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Число степеней свободы для бóльшей дисперсии df
1
df
2
119 129 139 149 159 169 179 189 199 249 299 349 399 499 599 699 799 899 999
α = 0,05
16 2,059 2,056 2,052
2,050
2,047 2,045 2,043 2,041
2,040
2,034 2,030 2,027 2,025
2,022
2,020 2,018 2,017 2,016 2,016
2,010
19 1,931 1,927 1,923 1,920 1,918 1,915 1,913 1,912 1,910 1,904 1,899 1,896 1,894 1,891 1,889 1,887 1,886 1,885 1,884 1,878
24 1,790 1,786 1,782
1,779
1,776 1,774 1,771 1,769
1,768
1,761 1,756 1,753 1,751
1,747
1,745 1,743 1,742 1,741 1,740
1,733
29 1,699 1,694 1,690 1,687 1,684 1,681 1,679 1,677 1,675 1,667 1,663 1,659 1,656 1,653 1,650 1,648 1,647 1,646 1,645 1,638
39 1,585 1,580 1,576
1,572
1,569 1,566 1,564 1,561
1,559
1,551 1,546 1,542 1,539
1,535
1,532 1,530 1,528 1,527
1,526
1,518
49 1,517 1,512 1,508 1,503 1,500 1,497 1,494 1,492 1,489 1,481 1,475 1,470 1,467 1,463 1,460 1,457 1,456 1,455 1,453 1,444
59 1,472 1,466 1,461
1,457
1,453 1,450 1,447 1,444
1,442
1,433 1,426 1,422 1,418
1,413
1,410 1,408 1,406 1,405 1,404
1,394
69 1,439 1,433 1,428
1,423
1,419 1,416 1,413 1,410
1,407
1,398 1,391 1,386 1,383
1,377
1,374 1,371 1,370 1,368 1,367
1,356
79 1,414 1,407 1,402
1,398
1,394 1,390 1,387 1,384
1,381
1,371 1,364 1,359 1,355
1,350
1,346 1,343 1,341 1,340 1,339
1,327
89 1,394 1,388 1,382
1,377
1,373 1,369 1,366 1,363
1,360
1,350 1,343 1,337 1,333
1,328
1,324 1,321 1,319 1,317 1,316
1,304
99 1,378 1,371 1,366 1,361 1,357 1,353 1,349 1,346 1,343 1,332 1,325 1,320 1,315 1,310 1,306 1,303 1,301 1,299 1,297 1,285
109 1,365 1,358 1,352
1,347
1,343 1,339 1,336 1,332
1,329
1,318 1,310 1,305 1,301
1,294
1,290 1,287 1,285 1,283 1,282
1,269
119 1,354 1,347 1,341
1,336
1,331 1,327 1,324 1,321
1,318
1,306 1,298 1,292 1,288
1,282
1,277 1,274 1,272 1,270 1,269
1,255
129 1,344 1,337 1,331
1,326
1,322 1,318 1,314 1,310
1,307
1,296 1,288 1,282 1,277
1,271
1,266 1,263 1,261 1,259 1,257
1,243
139 1,336 1,329 1,323
1,318
1,313 1,309 1,305 1,302
1,299
1,287 1,278 1,272 1,268
1,261
1,256 1,253 1,251 1,249 1,247
1,233
149 1,329 1,322 1,316
1,310
1,306 1,301 1,298 1,294
1,291
1,279 1,270 1,264 1,259
1,252
1,248 1,245 1,242 1,240 1,238
1,223
α = 0,01
16 2,845 2,838 2,832
2,827
2,823 2,818 2,815 2,812
2,809
2,798 2,790 2,785 2,781
2,775
2,772 2,769 2,767 2,765 2,764
2,753
19 2,585 2,577 2,571 2,566 2,561 2,557 2,553 2,550 2,547 2,536 2,528 2,522 2,518 2,512 2,509 2,506 2,504 2,502 2,501 2,489
24 2,311 2,303 2,297
2,291
2,286 2,282 2,278 2,274
2,271
2,259 2,251 2,246 2,241
2,235
2,231 2,228 2,226 2,224 2,223
2,211
29 2,139 2,131 2,124 2,118 2,113 2,109 2,105 2,101 2,098 2,085 2,077 2,071 2,066 2,060 2,056 2,053 2,050 2,048 2,047 2,034
39 1,933 1,925 1,917
1,911
1,906 1,901 1,896 1,893 1,889 1,876 1,866 1,860 1,855
1,848
1,844 1,840 1,838 1,836 1,834
1,820
49 1,813 1,804 1,797 1,790 1,784 1,779 1,774 1,770 1,767 1,752 1,743 1,736 1,731 1,723 1,718 1,715 1,712 1,710 1,708 1,693
59 1,734 1,725 1,717
1,710
1,704 1,698 1,694 1,689
1,685
1,670 1,660 1,653 1,647
1,640
1,634 1,631 1,628 1,626 1,624
1,608
69 1,677 1,668 1,660
1,653
1,646 1,641 1,636 1,631
1,627
1,612 1,601 1,593 1,588
1,579
1,574 1,570 1,567 1,565 1,563
1,546
79 1,635 1,625 1,617
1,610
1,603 1,597 1,592 1,588
1,583
1,567 1,556 1,548 1,542
1,534
1,528 1,524 1,521 1,518 1,516
1,498
89 1,602 1,592 1,584
1,576
1,569 1,563 1,558 1,553
1,549
1,532 1,521 1,513 1,506
1,498
1,492 1,487 1,484 1,482 1,479
1,461
99 1,576 1,566 1,557 1,549 1,542 1,536 1,531 1,526 1,521 1,504 1,492 1,484 1,477 1,468 1,462 1,458 1,454 1,452 1,450 1,430
109 1,554 1,544 1,535
1,527
1,520 1,514 1,508 1,503
1,498
1,481 1,469 1,460 1,453
1,444
1,438 1,433 1,429 1,427 1,425
1,404
119 1,536 1,525 1,516
1,508
1,501 1,495 1,489 1,484
1,479
1,461 1,449 1,440 1,433
1,423
1,417 1,412 1,408 1,406 1,403
1,383
129 1,520 1,510 1,500
1,492
1,485 1,479 1,473 1,468
1,463
1,444 1,432 1,423 1,416
1,406
1,399 1,394 1,390 1,388 1,385
1,364
139 1,507 1,496 1,487
1,479
1,471 1,465 1,459 1,454
1,449
1,430 1,417 1,408 1,401
1,390
1,384 1,379 1,375 1,372 1,369
1,347
149 1,495 1,485 1,475
1,467
1,459 1,453 1,447 1,441
1,436
1,417 1,404 1,395 1,387
1,377
1,370 1,365 1,361 1,358 1,355
1,333
                                                         Число степеней свободы для бóльшей дисперсии df1
df2
      119     129     139     149     159     169      179   189     199    249      299 349    399    499   599     699     799     899     999      ∞
                                                                              α = 0,05
16    2,059   2,056   2,052   2,050   2,047   2,045   2,043 2,041 2,040 2,034 2,030 2,027 2,025 2,022        2,020   2,018   2,017   2,016   2,016   2,010
19    1,931   1,927   1,923   1,920   1,918   1,915   1,913 1,912 1,910 1,904 1,899 1,896 1,894 1,891        1,889   1,887   1,886   1,885   1,884   1,878
24    1,790   1,786   1,782   1,779   1,776   1,774   1,771 1,769 1,768 1,761 1,756 1,753 1,751 1,747        1,745   1,743   1,742   1,741   1,740   1,733
29    1,699   1,694   1,690   1,687   1,684   1,681   1,679 1,677 1,675 1,667 1,663 1,659 1,656 1,653        1,650   1,648   1,647   1,646   1,645   1,638
39    1,585   1,580   1,576   1,572   1,569   1,566   1,564 1,561 1,559 1,551 1,546 1,542 1,539 1,535        1,532   1,530   1,528   1,527   1,526   1,518
49    1,517   1,512   1,508   1,503   1,500   1,497   1,494 1,492 1,489 1,481 1,475 1,470 1,467 1,463        1,460   1,457   1,456   1,455   1,453   1,444
59    1,472   1,466   1,461   1,457   1,453   1,450   1,447 1,444 1,442 1,433 1,426 1,422 1,418 1,413        1,410   1,408   1,406   1,405   1,404   1,394
69    1,439   1,433   1,428   1,423   1,419   1,416   1,413 1,410 1,407 1,398 1,391 1,386 1,383 1,377        1,374   1,371   1,370   1,368   1,367   1,356
79    1,414   1,407   1,402   1,398   1,394   1,390   1,387 1,384 1,381 1,371 1,364 1,359 1,355 1,350        1,346   1,343   1,341   1,340   1,339   1,327
89    1,394   1,388   1,382   1,377   1,373   1,369   1,366 1,363 1,360 1,350 1,343 1,337 1,333 1,328        1,324   1,321   1,319   1,317   1,316   1,304
99    1,378   1,371   1,366   1,361   1,357   1,353   1,349 1,346 1,343 1,332 1,325 1,320 1,315 1,310        1,306   1,303   1,301   1,299   1,297   1,285
109   1,365   1,358   1,352   1,347   1,343   1,339   1,336 1,332 1,329 1,318 1,310 1,305 1,301 1,294        1,290   1,287   1,285   1,283   1,282   1,269
119   1,354   1,347   1,341   1,336   1,331   1,327   1,324 1,321 1,318 1,306 1,298 1,292 1,288 1,282        1,277   1,274   1,272   1,270   1,269   1,255
129   1,344   1,337   1,331   1,326   1,322   1,318   1,314 1,310 1,307 1,296 1,288 1,282 1,277 1,271        1,266   1,263   1,261   1,259   1,257   1,243
139   1,336   1,329   1,323   1,318   1,313   1,309   1,305 1,302 1,299 1,287 1,278 1,272 1,268 1,261        1,256   1,253   1,251   1,249   1,247   1,233
149   1,329   1,322   1,316   1,310   1,306   1,301   1,298 1,294 1,291 1,279 1,270 1,264 1,259 1,252        1,248   1,245   1,242   1,240   1,238   1,223
                                                                              α = 0,01
16    2,845   2,838   2,832   2,827   2,823   2,818   2,815 2,812 2,809 2,798 2,790 2,785 2,781 2,775        2,772   2,769   2,767   2,765   2,764   2,753
19    2,585   2,577   2,571   2,566   2,561   2,557   2,553 2,550 2,547 2,536 2,528 2,522 2,518 2,512        2,509   2,506   2,504   2,502   2,501   2,489
24    2,311   2,303   2,297   2,291   2,286   2,282   2,278 2,274 2,271 2,259 2,251 2,246 2,241 2,235        2,231   2,228   2,226   2,224   2,223   2,211
29    2,139   2,131   2,124   2,118   2,113   2,109   2,105 2,101 2,098 2,085 2,077 2,071 2,066 2,060        2,056   2,053   2,050   2,048   2,047   2,034
39    1,933   1,925   1,917   1,911   1,906   1,901   1,896 1,893 1,889 1,876 1,866 1,860 1,855 1,848        1,844   1,840   1,838   1,836   1,834   1,820
49    1,813   1,804   1,797   1,790   1,784   1,779   1,774 1,770 1,767 1,752 1,743 1,736 1,731 1,723        1,718   1,715   1,712   1,710   1,708   1,693
59    1,734   1,725   1,717   1,710   1,704   1,698   1,694 1,689 1,685 1,670 1,660 1,653 1,647 1,640        1,634   1,631   1,628   1,626   1,624   1,608
69    1,677   1,668   1,660   1,653   1,646   1,641   1,636 1,631 1,627 1,612 1,601 1,593 1,588 1,579        1,574   1,570   1,567   1,565   1,563   1,546
79    1,635   1,625   1,617   1,610   1,603   1,597   1,592 1,588 1,583 1,567 1,556 1,548 1,542 1,534        1,528   1,524   1,521   1,518   1,516   1,498
89    1,602   1,592   1,584   1,576   1,569   1,563   1,558 1,553 1,549 1,532 1,521 1,513 1,506 1,498        1,492   1,487   1,484   1,482   1,479   1,461
99    1,576   1,566   1,557   1,549   1,542   1,536   1,531 1,526 1,521 1,504 1,492 1,484 1,477 1,468        1,462   1,458   1,454   1,452   1,450   1,430
109   1,554   1,544   1,535   1,527   1,520   1,514   1,508 1,503 1,498 1,481 1,469 1,460 1,453 1,444        1,438   1,433   1,429   1,427   1,425   1,404
119   1,536   1,525   1,516   1,508   1,501   1,495   1,489 1,484 1,479 1,461 1,449 1,440 1,433 1,423        1,417   1,412   1,408   1,406   1,403   1,383
129   1,520   1,510   1,500   1,492   1,485   1,479   1,473 1,468 1,463 1,444 1,432 1,423 1,416 1,406        1,399   1,394   1,390   1,388   1,385   1,364
139   1,507   1,496   1,487   1,479   1,471   1,465   1,459 1,454 1,449 1,430 1,417 1,408 1,401 1,390        1,384   1,379   1,375   1,372   1,369   1,347
149   1,495   1,485   1,475   1,467   1,459   1,453   1,447 1,441 1,436 1,417 1,404 1,395 1,387 1,377        1,370   1,365   1,361   1,358   1,355   1,333