Basic Statistics and Tables ( ANOVA/MANOVA). 30 ; , - : 㳿 0, 1, 2. :
One - Way ANOVA (Analys Of Variances) - Analysis: Detailed Analysis Of Individual tables, Variabbles: Grouping variabbles ( ): T, Dependent variabbles ( - ): P - OK - OK - Statistics: Number of observations ( ), Standart deviations ( ) Variances (), Summary table of means ( ); , ( ) - Descriptive Stats and... Results Analysis of Variance - : SS (Sum of Squares) Effect (4), (k - 1), df = 2 = k - 1 - , MS (Mean Square) = 839.0 - (4), SS = 2711 - (3), (N - k), df = 27 = N - k, Ms Error = 100.4 - (3), F = 8.35 - (5), p = 0.0015 - (7); , . : () ().
: 㳿 ? Descriptive Stats and... Results Post - hoc comparasion of means ( ) Sheffe test. , ; , 㳿 0 1 ( 0.0015 , 0 1).
. , ( A B) (). , ( B) : , A.
A k A 1 ,..., Ak, B - n B 1 ,...,Bn. , x 䳿 A B e:
䳿 :
, (6.10)
, 
. (6.11)
aj bi c; aj bi . , ,
xij=c+aj+bi+ e ij, i= 1 ,..., n; j = 1 ,..., k, (6.12)
e ij - , N( 0,s2 ) . 6.2 ( , (Aj, Bi) , , ; .
|
|
|
()^ . A ( B) ,
HA: a 1 = a 2 =... = ak = 0 (6.13)
s2. , s2* , HA. , s2** , HA ; HA , .
6.2
| B | A A 1 A 2 ... Ak | ( B) |
| B 1 B 2 Bn | x 1 x 12 ... x 1 k x 21 x 22 ... x 2 k xn 1 xn 2 ... xnk | x 1 =(c+b 1 )^ x 2 =(c+b 2 )^ xn=(c+bn)^ |
| ( A) | x 1 = x 2 = xk= (c+a 1 )^ (c+a 2 )^ c+ak)^ | x=c^ |
. s2* . c, bi, aj
(6.14)
, 
.
, 
, 
(6.15)
, - ( s2) r = nk - (n- 1 ) - (k- 1 ) -1 = (n- 1 )(k- 1 ).
(6.17)
, s 2 * , x 1 ,...,xk - k , xj N(c+aj, s 2 /n). HA , N(cj, s 2 /n), s 2 /n
, 
.
(6.18)
- , A ( A),
, (6.19)
- (k- 1) ; QA ~ s 2 c 2 k - 1. HA , , , QA/ s2 - (k -1 ) 
.
HA ,
F - Գ (k -1 ) r .
FA ³ F 1 - a, (6.20)
F 1 - a - 1 - a, a - , HA . (20) : HA ,
P{ F ³ FA } £ a;(6.21)
P{ F ³ FA } - HA FA ; F - , Գ.
