i | Qi |
3 | -3,60457 |
2 | -2,29834 |
5 | -0,71843 |
6 | -0,71843 |
8 | -0,71843 |
7 | -0,06531 |
1 | 0,58781 |
10 | 0,58781 |
9 | 3,47395 |
4 | 3,47395 |
Qi bi , , . .
, , 0 , , . i- , 0(. .
, . 1968 . 0.
. (IRT) , . , , IRT j- 0. IRT, .
, Qi0 Qi. , . , . [50], , j Qi, , Qi j.
Qi , j . j- 0. , , , Q.
j - 0. j- I(Q) [31,46].
, i Qj 0.
(5.14) Prj=1.7PJQj(. 5.7),
Qj = 1 - Pj j- .
|
|
(5.16)
, j - ro
Qj=l-Pj
(5.49) 5.7.
j-
.
j- , (5.47). , Q. , . Pj(Q ) j- , , Q . Pj(Q ) Q = (bj) : Qi
, , , 0 , Q = b.
b Qi Q. Qi b. , , Qi, , Qi.
, 0. , . , . , , . , .
b , . j- af af
Pj, Qi.
, , . , Qi. , , Q .
, . 0, . Q, . , . , 0.
|
|
, 0 , Ii(Qi) (i=1, 2,..., n).
I(Q) , . (5.47)
, . I(Q). 25 [50], . . , .
. 5.29 I(Q), ( I). . , Q1 < b < Q2, 0.
(n > 100), , Q Q1, Q ~ Q2.
0, ;
0. .
2 , , Q2. . , . , Q.
. 5.29.
j - Ij(0) (5.48), :
9, /.(0).
10 . 5.3 . 5.30.
, . 5.31.
[46]
, j (Q) ( (5.14) (5.16)), Q = b.
Qmax, (5.18), . [46]
10 |
. 5.30.
|
|
. 5.31.
I(Qmax) j: IQmax) = 0. , Q. (Cj = 0,5), , .
, IRT , , , .
, , , . Q. , Q. . Qi. .
. b.
, , . :
, 6;
, ;
, ;
0;
, ;
Qmax.
, .
, . , Y 6. X (Y, X), Q [31,47]:
(Y, X) . (Y, X) , 0 .
E (Y, X) , , , .
|
|
5.32, 1,2, 3 , ( 1 2) (50 ), ( 3). , . = 1 50 .
25 50, . 1 1 , . , , 6.
2, 2, , 25 , 50 . 2 . , . , , , .
. 5.32.
3 , 50 , , , . , , .
, Q , , , , . 5.33. , (5.55) .
, . .
. 5.33.