(4)


должно подчиняться распределению Фишера.


В соответствии с критерием оценки статистической гипотезы необходимо величину (4) сопоставлять с табличным значением для заданного уровня значимости и чисел степеней свободы и соответственно.


При этом если


, (5)


то гипотезу линейности принимают.


Величины приведены в таблице для критерия значимости .


В числителе дисперсионного отношения (4) должна стоять большая из сравниваемых дисперсий. Как правило, . Число степеней свободы дисперсии равно .



Значения при


1

2

3

4

5

6

7

8

9

1


161,45


199,50


215,71


224,58


230,16


233,99


236,77


238,88


240,50


2


18,513


19,000


19,164


19,247


19,296


19,330


19,353


19,371


19,38


3


10,128


9,552


9,277


9,117


9,014


8,941


8,887


8,887


8,81


4


7,709


6,944


6,591


6,388


6,256


6,163


6,094


6,041


5,99


5


6,608


5,786


5,410


5,192


5,050


4,950


4,876


4,818


4,77


6


5,987


5,141


4,757


4,534


4,387


4,284


4,207


4,147


4,09


7


5,591


4,737


4,347


4,120


3,972


3,866


3,787


3,726


3,67


8


5,318


4,459


4,066


3,838


3,688


3,581


3,501


3,438


3,38


9


5,117


4,257


3,863


3,633


3,482


3,374


3,293


3,230


3,17


10


4,965


4,103


3,708


3,478


3,326


3,217


3,136


3,072


3,02


11


4,844


3,982


3,587


3,357


3,204


3,095


3,012


2,948


2,89


12


4,747


3,885


3,490


3,259


3,106


2,996


2,913


2,849


2,79


13


4,667


3,806


3,411


3,179


3,025


2,915


2,832


2,767


2,71


14


4,600


3,739


3,344


3,112


2,958


2,848


2,764


2,699


2,64


15


4,543


3,682


3,287


3,056


2,901


2,791


2,707


2,641


2,55


16


4,494


3,634


3,239


3,007


2,852


2,741


2,657


2,591


2,53


17


4,451


3,592


3,197


2,965


2,810


2,699


2,614


2,548


2,49


18


4,414


3,555


3,160


2,928


2,773


2,661


2,577


2,510


2,45


19


4,381


3,522


3,127


2,895


2,740


2,628


2,544


2,477


2,423


20


4,351


3,493


3,098


2,866


2,711


2,599


2,514


2,447


3,393


21


4,325


3,467


3,073


2,840


2,685


2,573


2,488


2,421


2,366


22


4,301


3,443


3,049


2,817


2,661


2,549


2,464


2,397


2,342


23


4,279


3,422


3,028


2,796


2,640


2,528


2,442


2,375


2,320


24


4,260


3,403


3,009


2,776


2,621


2,508


2,423


2,355


2,300


25


4,242


3,385


2,991


2,759


2,603


2,490


2,405


2,337


2,282


26


4,225


3,369


2,975


2,743


2,585


2,474


2,388


2,321


2,226


27


4,210


3,354


2,960


2,728


2,572


2,459


2,373


2,305


2,250


28


4,196


3,340


2,947


2,714


2,558


2,445


2,359


2,291


2,236


29


4,183


3,328


2,934


2,701


2,545


2,434


2,346


2,278


2,223


30


4,171


3,316


2,922


2,690


2,534


2,421


2,334


2,266


2,211


40


4,085


3,232


2,839


2,606


2,450


2,336


2,249


2,180


2,124


60


4,001


3,150


2,758


2,525


2,368


2,254


2,167


2,097


2,040


120


3,920


3,072


2,680


2,447


2,290


2,175


2,087


2,016


1,959



3,842


2,996


2,605


2,372


2,214


2,099


2,010


1,938


1,880


Продолжение


10

12

15

20

24

30

40

60

120

1


241,88


243,91


245,95


248,01


249,05


250,09


251,14


252,20


253,25


254,32


2


19,396


19,413


19,429


19,446


19,454


19,462


19,471


19,479


19,487


19,496


3


8,786


8,745


8,703


8,660


8,639


8,617


8,594


8,572


8,549


8,257


4


5,964


5,912


5,858


5,803


5,774


5,746


5,717


5,688


5,658


5,628


5


4,735


4,678


4,619


4,558


4,527


4,496


4,464


4,431


4,398


4,365


6


4,060


4,000


3,938


3,874


3,842


3,808


3,774


3,740


3,705


3,669


7


3,637


3,575


3,511


3,445


3,411


3,376


3,430


3,304


3,267


3,230


8


3,347


3,284


3,218


3,150


3,115


3,079


3,043


3,005


2,967


2,928


9


3,137


3,073


3,006


2,937


2,901


2,864


2,826


2,787


2,748


2,707


10


2,978


2,913


2,845


2,774


2,737


2,700


2,661


2,621


2,580


2,588


11


2,854


2,788


2,719


2,646


2,609


2,571


2,531


2,490


2,448


2,405


12


2,753


2,687


2,617


2,544


2,506


2,466


2,426


2,384


2,341


2,296


13


2,671


2,604


2,533


2,459


2,420


2,380


2,330


2,297


2,252


2,206


14


2,602


2,534


2,463


2,388


2,349


2,308


2,266


2,223


2,178


2,131


15


2,544


2,475


2,404


2,328


2,288


2,247


2,204


2,160


2,114


2,066


16


2,494


2,425


2,352


2,276


2,235


2,194


2,151


2,106


2,059


2,010


17


2,450


2,381


2,308


2,230


2,190


2,148


2,104


2,058


2,011


1,960


18


2,412


2,342


2,269


2,191


2,150


2,107


2,063


2,017


1,968


1,913


19


2,378


2,308


2,234


2,156


2,114


2,071


2,026


1,980


1,930


1,878


20


2,348


2,278


2,203


2,124


2,083


2,039


1,994


1,946


1,896


1,843


21


2,321


2,250


2,178


2,096


2,054


2,010


1,965


1,917


1,876


1,812


22


2,297


2,226


2,151


2,071


2,028


1,984


1,938


1,890


1,838


1,783


23


2,275


2,204


2,128


2,048


2,005


1,961


1,914


1,865


1,813


1,757


24


2,255


2,183


2,108


2,027


1,984


1,939


1,892


1,842


1,790


1,733


25


2,237


2,165


2,089


2,008


1,964


1,919


1,872


1,822


1,768


1,711


26


2,220


2,148


2,072


1,990


1,946


1,901


1,853


1,803


1,749


1,691


27


2,204


2,132


2,056


1,974


1,930


1,884


1,836


1,785


1,731


1,672


28


2,190


2,118


2,041


1,959


1,915


1,869


1,820


1,769


1,714


1,654


29


2,177


2,105


2,028


1,945


1,901


1,854


1,806


1,754


1,698


1,638


30


1,165


2,092


2,015


1,932


1,887


1,841


1,792


1,740


1,684


1,622


40


2,077


2,004


1,925


1,839


1,793


1,744


1,693


1,637


1,577


1,509


60


1,993


1,917


1,836


1,748


1,700


1,649


1,594


1,534


1,467


1,389


120


1,911


1,834


1,751


1,659


1,608


1,554


1,495


1,429


1,352


1,254


1,831


1,752


1,666


1,571


1,517


1,459


1,394


1,318


1,221


1,000