. 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(a).

Kolmogorov-Smirnov (KS) distances and the mean KS (MKS) between the empirical distributions of the statistics and their proposed distributions, d = 10, λ_k = 1₁₀ + k(0, 0.1, 0.2, …, 0.9)′, 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	0.198	0.022	0.304	0.022	0.019	0.010	0.208	0.010	0.007
2	0.302	0.015	0.505	0.020	0.015	0.004	0.331	0.007	0.003
3	0.367	0.016	0.632	0.041	0.029	0.007	0.388	0.016	0.011
4	0.410	0.029	0.701	0.053	0.035	0.015	0.424	0.025	0.015
5	0.442	0.034	0.799	0.032	0.032	0.018	0.460	0.015	0.018
6	0.466	0.016	0.824	0.029	0.012	0.005	0.466	0.016	0.005
7	0.484	0.010	0.853	0.036	0.018	0.004	0.475	0.018	0.006
8	0.500	0.019	0.875	0.040	0.013	0.005	0.482	0.018	0.004
9	0.512	0.019	0.903	0.032	0.023	0.006	0.488	0.018	0.007
10	0.522	0.022	0.924	0.036	0.024	0.010	0.491	0.017	0.006
Ave	0.420	0.020	0.732	0.034	0.022	0.008	0.421	0.016	0.008