[9].
?
(, , ) ?
( , , , ) ?
(, , ) (, , ) ?
. , . (interaction) , .
(interaction)
, ai Xi, .
- . , , . , ^2 7 ^. :
SS = SSsa 1 + SSza 2 + 85 1 2 +SSeHympu
ssy=ssXi+ssXi+ssXiX2+ssoulll6Ktl
Xj Xt 55]. 2. 1 2, SSX^. , 1 2 , SSX^ [10].
() , n2 (multiple 2), :
_ (SSXi
r\2 (multiple r\2)
( ) , .
(significance of the overall effect) 7-, :
,), }ldfn _ SSXi^^ ldfn _ MSXi^x^
F=-
MS
dfn
= (, - 1) + (2- 1) + (, - 1) <2- 1) =,2- 1
dfd
= N-c,c2
MS .
(significance of the overall effect)
.
, (significance of the interaction effect) [11]. , , F- :
|
|
(significance of the interaction effect)
.
, , , ^ 2, . () , , , [12].
(significance of the main effect of each factc ( Xj): MSr
MS01
dfd=N-Clc2
(significance of the main effect of each factor)
.
, ( ). , . ; .
. . 16.4, , \ . 3x2 . 16.5. , bi , SS^, MS^ , . 16.4. , $8= 53,333 , $, . , , (SS^ + 55^ = 106,067 + 53,333 = 159,400). (2 + 1) = 3. < SSxpxc = 3,267 (3 - 1) (2 - 1) = 2 , , MSxpn 3,267/2 = 1,633. , = 106,067 + 52,333 + 3,267 = 162,667 2 + 1 + 2 = 5 , , ] 162,667/5 = 32,533. , . 16.4. , ! SS()Uiuf)KU = 23,2 (30 3 2) 24 , 8()1< 0,967.
16.5.
F | F | of | ||||
106,067 | 53,033 | 54,862 | 0,000 | 0,557 | ||
53,333 | 53,333 | 55,172 | 0,000 | 0,280 |
. 16.5
F F of | ||
159,400 3 | 53,133 54,966 0,000 | |
3,267 2 | 1,633 1,690 0,206 | |
162,667 5 | 32,533 33,655 0,000 | |
() | 23,200 24 | 0,967 |
185,867 29 | 6,409 | |
() | ||
5 | 9,200 | |
5 | 7,400 | |
5 | 7,600 | |
5 | 4,800 | |
5 | 5,400 | |
5 | 2,000 | |
( | ||
8,300 | ||
6,200 | ||
3,700 | ||
15 | 7,400 | |
15 | 4,733 | |
6,067 |
F- :
|
|
5 24 . , 0,05.
F- :
2 24 . , 0,05.
, , /"- :
2 24 . , 0,05.
F- :
'1^33 } 0,967 J
1 24 . , 0,05. , , . . .
.
. ?
, - : , ; (), . , - . : 2x2x2. : 349,95 () 449,95 (), - , - Hudson .
. 2 ! , 240 . . 1 , \ .
1, ()
,
:
, F | (df) | Sepoi |
7,57 | 1,232 | 0,006 |
6,57 | 1,232 | 0,011 |
6,17 | 1,232 | 0,014 |
6,57 | 1,232 | 0,011 |
10,31 | 1,232 | 0,002 |
"-" < . 2.
2, "-"
Hudson
Hudson
3,67 3,18
3,60 3,77
3,42 2,88
3,47 3,65
3,82 3,15
|
|
3,53 3,75
, ( Hudson , ,
. , "-" . 3. 449,95 " " "" , , 349,95 .
3. "-"
$349,95
3,75 3,40
3,53 3,45
$449,95
3,15 2,90
3,73 3,67
, , , , . , ( , ) , . , , " " "" , , , [13].
, , .
.
, , , , .
, .
, , , . , . , . , , . , , [14]. , , -
F- . " , . ] [15].
. 16.2. npej , , , , , . , > . ; . , , ; . , . . 16.6.
|
|
16.6.