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Table 2 Stability point identification (average number of selected itens \(\bar {x}\)) and sample size (σ) for each ISR and for each \(\hat {\theta }\) interval

From: ALICAT: a customized approach to item selection process in computerized adaptive testing

Estimated \(\hat {\theta }\) interval

F

KL

KLP

MLWI

MPWI

 

σ

\(\bar {x}\)

σ

\(\bar {x}\)

σ

\(\bar {x}\)

σ

\(\bar {x}\)

σ

\(\bar {x}\)

[ − 2 ; − 1.5 ]

502

7

48

14

301

8

0

0

[ − 1.5 ; − 1 ]

439

8

548

8

552

8

3

23

797

8

[ − 1 ; − 0.5 ]

611

10

477

8

740

9

7

17

723

8

[ − 0.5 ; 0 ]

490

14

1047

7

385

13

2544

6

517

9

[ 0 ; 0.5 ]

666

21

629

8

506

14

771

6

585

15

[ 0.5 ; 1 ]

281

19

369

10

708

9

377

7

395

13

[ 1 ; 1.5 ]

665

35

406

21

242

24

166

10

454

18

[ 1.5 ; 2 ]

152

25

554

12

1512

7

35

19

1506

9

[ 2 ; 2.5 ]

1142

19

901

15

3

22

769

14

2

2

[ 2.5 ; 3 ]

31

27

0

0

307

9

0