Table 11.

The estimated Q-matrix based on L₁ regularization and the corresponding slipping and guessing parameters for the three and four dimensional DINA model for the fraction subtraction data

		K= 3					K = 4
ID	Content	Q̂			ŝ	ĝ	Q̂				ŝ	ĝ
1	$\frac{5}{3}-\frac{3}{4}$	1	0	0	0.12	0.03	1	0	0	0	0.12	0.03
2	$\frac{3}{4}-\frac{3}{8}$	1	0	0	0.05	0.04	1	0	0	0	0.04	0.03
3	$\frac{5}{6}-\frac{1}{9}$	1	0	0	0.13	0.00	1	0	0	0	0.12	0.00
4	$3\frac{1}{2}-2\frac{3}{2}$	0	1	0	0.13	0.17	0	1	1	0	0.13	0.21
5	$1\frac{1}{8}-\frac{1}{8}$	0	0	1	0.07	0.28	0	0	1	0	0.07	0.24
6	$3\frac{4}{5}-3\frac{2}{5}$	0	0	1	0.04	0.20	0	0	1	0	0.04	0.13
7	$4\frac{5}{7}-1\frac{4}{7}$	0	0	1	0.08	0.20	0	0	1	1	0.05	0.27
8	$4\frac{3}{5}-3\frac{4}{10}$	1	0	1	0.18	0.31	1	0	1	0	0.19	0.31
9	$3-2\frac{1}{5}$	1	0	1	0.32	0.06	0	1	1	1	0.23	0.11
10	$2-\frac{1}{3}$	1	0	1	0.23	0.07	0	1	1	1	0.15	0.14
11	$4\frac{4}{12}-2\frac{7}{12}$	0	1	1	0.23	0.03	0	1	1	0	0.24	0.03
12	$4\frac{1}{3}-2\frac{4}{3}$	0	1	1	0.07	0.07	0	1	0	0	0.09	0.06
13	$7\frac{3}{5}-\frac{4}{5}$	0	1	1	0.13	0.05	0	1	1	0	0.15	0.04
14	$4\frac{1}{10}-2\frac{8}{10}$	0	1	1	0.15	0.13	0	1	1	0	0.16	0.12
15	$4-1\frac{4}{3}$	0	1	1	0.37	0.02	0	1	0	1	0.32	0.02
16	$4\frac{1}{3}-1\frac{5}{3}$	0	1	1	0.18	0.01	0	1	1	0	0.20	0.01
17	$3\frac{3}{8}-2\frac{5}{6}$	1	1	1	0.33	0.01	1	1	1	1	0.31	0.01