Table 2.

The ACCR and PCCR for Eight Algorithms in Various Item Banks and Test Lengths.

Test length	Item quality	Selection algorithms	ACCR					PCCR	Difference
			A1	A2	A3	A4	A5
5	High	KL	0.581	0.964	0.548	0.897	0.562	0.144
		ACDI	0.720	0.989	0.492	0.941	0.492	0.187
		CDI	0.503	0.989	0.939	0.939	0.491	0.245
		PWKL	0.805	0.942	0.881	0.923	0.900	0.619
		MI	0.942	0.945	0.925	0.948	0.926	0.774	0.155
		MPWKL	0.921	0.943	0.916	0.923	0.904	0.772	0.153
		PWACDI	0.911	0.943	0.915	0.923	0.889	0.773	0.154
		PWCDI	0.923	0.943	0.917	0.923	0.906	0.773	0.154
	Low	KL	0.571	0.943	0.587	0.845	0.539	0.158
		ACDI	0.690	0.967	0.492	0.887	0.491	0.193
		CDI	0.504	0.966	0.888	0.889	0.491	0.238
		PWKL	0.762	0.875	0.835	0.867	0.835	0.512
		MI	0.887	0.888	0.846	0.894	0.866	0.627	0.115
		MPWKL	0.852	0.891	0.859	0.857	0.824	0.621	0.109
		PWACDI	0.838	0.892	0.856	0.856	0.811	0.635	0.123
		PWCDI	0.852	0.892	0.857	0.856	0.826	0.611	0.099
10	High	KL	0.591	0.989	0.753	0.928	0.842	0.337
		ACDI	0.719	0.991	0.937	0.947	0.714	0.534
		CDI	0.939	0.992	0.939	0.933	0.924	0.771
		PWKL	0.997	0.981	0.977	0.980	0.971	0.909
		MI	0.981	0.973	0.967	0.978	0.976	0.900	−0.09
		MPWKL	0.983	0.984	0.984	0.980	0.974	0.928	0.019
		PWACDI	0.976	0.980	0.978	0.971	0.972	0.921	0.012
		PWCDI	0.983	0.983	0.984	0.979	0.973	0.926	0.017
	Low	KL	0.578	0.981	0.825	0.9	0.655	0.277
		ACDI	0.688	0.972	0.883	0.891	0.685	0.460
		CDI	0.877	0.966	0.885	0.878	0.869	0.618
		PWKL	0.935	0.946	0.927	0.939	0.922	0.768
		MI	0.933	0.941	0.936	0.944	0.949	0.781	0.013
		MPWKL	0.937	0.949	0.944	0.935	0.930	0.798	0.030
		PWACDI	0.925	0.939	0.933	0.920	0.928	0.800	0.032
		PWCDI	0.938	0.947	0.944	0.936	0.930	0.800	0.032

Note. ACCR = attribute correct classification rate; A = attribute; PCCR = pattern correct classification rate; KL = Kullback–Leibler index method; ACDI = attribute-level cognitive diagnostic model discrimination index; CDI = cognitive diagnostic model discrimination index; PWKL = posterior-weighted Kullback–Leibler information method; MI = mutual information method; MPWKL = modified PWKL; PWACDI = posterior-weighted attribute-level cognitive diagnostic model discrimination index; PWCDI = posterior-weighted cognitive diagnostic model discrimination index.