. Author manuscript; available in PMC: 2011 May 1.

Published in final edited form as: Br J Math Stat Psychol. 2009 Sep 29;63(Pt 2):273–291. doi: 10.1348/000711009X449771

Table 2(c).

Kolmogorov-Smirnov (KS) distances and the mean KS (MKS) between the empirical distributions of the statistics and their proposed distributions, d = 50, λ_k = 1₅₀ + k(0, 0.1, 0.2, …, 4.9)′, 2000 replications.

		KS				MKS
k	CV(λ)	$χ_{d}^{2}$	$L χ_{d}^{2}$	$c χ_{d}^{2}$	$a χ_{b}^{2}$	$χ_{d}^{2}$	$L χ_{d}^{2}$	$c χ_{d}^{2}$	$a χ_{b}^{2}$
1	0.418	0.015	0.997	0.031	0.010	0.005	0.500	0.015	0.003
2	0.489	0.025	1.000	0.026	0.020	0.009	0.500	0.015	0.005
3	0.518	0.029	1.000	0.043	0.026	0.014	0.500	0.021	0.014
4	0.534	0.018	1.000	0.033	0.017	0.006	0.500	0.017	0.007
5	0.545	0.017	1.000	0.032	0.018	0.006	0.500	0.016	0.006
6	0.551	0.013	1.000	0.040	0.022	0.004	0.500	0.022	0.006
7	0.557	0.010	1.000	0.054	0.016	0.004	0.500	0.024	0.007
8	0.560	0.028	1.000	0.057	0.037	0.012	0.500	0.030	0.013
9	0.563	0.040	1.000	0.054	0.028	0.018	0.500	0.028	0.014
10	0.566	0.015	1.000	0.049	0.016	0.005	0.500	0.027	0.006
Ave	0.530	0.021	1.000	0.042	0.021	0.008	0.500	0.022	0.008