Table 2.

Power Rate Estimates for Three Types of Misfitting Items.

n	Item	Test length	$S-X^2$	$Q_1$	$\mathrm{PV}-Q_1$	$\mathrm{PV}-Q_1^{*}$	${\chi }^{2*}$
500	$\mathrm{BA}{\mathrm{D}}_1$	10	0.770	0.998	0.016	0.406	0.882
		20	0.940	1.000	0.490	0.972	0.996
		40	0.914	1.000	0.926	1.000	1.000
		80	0.844	0.996	0.988	1.000	1.000
	$\mathrm{BA}{\mathrm{D}}_2$	10	0.484	1.000	0.404	0.890	1.000
		20	0.330	0.970	0.272	0.996	1.000
		40	0.254	0.842	0.678	0.998	0.998
		80	0.254	0.806	0.834	0.992	1.000
	$\mathrm{BA}{\mathrm{D}}_3$	10	0.248	0.988	0.042	0.588	0.804
		20	0.358	0.952	0.390	0.942	0.968
		40	0.414	0.972	0.828	0.986	0.990
		80	0.362	0.988	0.986	1.000	1.000
1,000	$\mathrm{BA}{\mathrm{D}}_1$	10	0.946	1.000	0.166	0.688	0.984
		20	0.998	1.000	0.886	0.998	1.000
		40	1.000	1.000	1.000	1.000	1.000
		80	0.998	1.000	1.000	1.000	1.000
	$\mathrm{BA}{\mathrm{D}}_2$	10	0.704	1.000	0.638	0.928	1.000
		20	0.584	1.000	0.880	0.996	1.000
		40	0.634	0.998	0.988	1.000	1.000
		80	0.516	0.984	0.996	1.000	1.000
	$\mathrm{BA}{\mathrm{D}}_3$	10	0.482	1.000	0.314	0.878	0.976
		20	0.690	1.000	0.890	0.998	1.000
		40	0.800	1.000	0.996	1.000	1.000
		80	0.778	1.000	1.000	1.000	1.000