() . , . , , , . . 1, 2, 3,..., J (, , . .).
, . . . , J ( ) n . , , . , , n s2. , s2 J ( , ).
.
1. ( ) (. 10.3):
10.3
( ) | |||||
1 | 2 | 3 | ... | J | |
X 11 | x 12 | x 13 | ... | x 1 J | |
X 21 | x 22 | x 23 | ... | x 2 J | |
. | . | . | ... | . | |
. | . | . | ... | . | |
. | . | . | ... | . | |
xn1 | xn2 | xn3 | ... | xnJ |
2. () SS W, :
. (10.2)
3. () SSb, :
. (10.3)
4. SS c, : SS c = SS b + SS W. :
. (10.4)
5. :
(10.5)
6. :
) , : n1 = J - 1;
) , : n2 = J (n - 1).
7. :
(10.6)
. F . , n1 , n2. , , , F ³ F .
|
|
(. 10.4):
10.4
1 | 2 | ... | J | 1 | 2 | ... | J |
x 11 x 21 . . . x n1 | x 12 x 22 . . . x n2 | ... ... ... ... ... ... | x 1J x 2J . . . x nJ | x 112 x 212 . . . x n12 | x 122 x 222 . . . x n22 | ... ... ... ... ... ... | x 1J2 x 2J2 . . . x nJ2 |
(. 10.5):
10.5
1 | xi ( ) : (x 11 + x 21 +... + x n1)2 (x 12 + x 22 +... + x n2)2 .............. .............. .............. (x 1J + x 2J +... + x nJ)2 n. | |
2 | ; : + + ............. + | |
3 | SS W = (2) (1) | (2) (1), SS W. |
4 | , Jn. | |
5 | SS b = (1) (4) | (1) (4), SS b |
6 | SSC = (2) (4) = (3) + (5) | SS C - (4) (2), (3) (5), . . . |
7 | = (5)/(6) | (5) (6), .. . |
8 | (5)/(3) J (n -1)/(J -1), . |
.
, . 4- (, 7-, 8-, 9- 10- ) 10 .
(. 10.6):
10.6
| ||||||||
|
| |||||||
7- | 8- | 9- | 10- | 7- | 8- | 9- | 10- | |
16 6 19 10 11 13 21 14 13 11 | 9 14 19 16 20 18 14 22 12 17 | 21 17 23 12 12 17 15 21 9 9 | 9 13 19 14 13 12 15 23 14 17 | 256 36 361 100 121 169 441 196 169 121 | 81 196 361 256 400 324 196 484 144 289 | 441 289 529 144 144 289 225 441 81 81 | 81 169 361 196 169 144 225 529 196 289 | |
Σ | 134 | 161 | 156 | 149 | 1970 | 2731 | 2664 | 2359 |
(Σ)2 | 17956 | 25921 | 24336 | 22201 |
|
|
, .
1.
2.
3. SSw = (2) (1) = 9724 9041 = 683;
4.
5. SSb = (1) (4) = 9041 9000 = 41;
6. SSc = (2) (4) = (3) + (5) = 9724 9000 = 683 + 41 = 724;
7.
8.
F = 0,720 < F . = 2,86. .