. 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 1(a).

Kolmogorov-Smirnov (KS) distances and the mean KS (MKS) between the empirical distributions of the statistics and their proposed distributions, d = 2, λ_k = (1, k)′, 2000 replications.

		KS				MKS
k	CV(λ)	$χ_{d}^{2}$	$L χ_{d}^{2}$	$c χ_{d}^{2}$	$a χ_{b}^{2}$	$χ_{d}^{2}$	$L χ_{d}^{2}$	$c χ_{d}^{2}$	$a χ_{b}^{2}$
2	0.333	0.018	0.150	0.017	0.029	0.006	0.098	0.008	0.011
3	0.500	0.012	0.235	0.037	0.033	0.004	0.149	0.016	0.014
4	0.600	0.011	0.278	0.054	0.050	0.004	0.183	0.030	0.020
5	0.667	0.028	0.330	0.074	0.046	0.011	0.207	0.038	0.018
6	0.714	0.018	0.376	0.064	0.045	0.007	0.233	0.038	0.020
7	0.750	0.018	0.408	0.077	0.060	0.010	0.256	0.039	0.022
8	0.778	0.012	0.430	0.084	0.056	0.003	0.267	0.047	0.021
9	0.800	0.030	0.421	0.120	0.062	0.014	0.269	0.063	0.026
10	0.818	0.015	0.462	0.109	0.066	0.004	0.289	0.053	0.021
Ave	0.662	0.018	0.343	0.071	0.050	0.007	0.217	0.037	0.019