. 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(b).

Kolmogorov-Smirnov (KS) distances and the mean KS (MKS) between the empirical distributions of the statistics and their proposed distributions, d = 6, $λ_{k} = {(1_{3}^{'}, k 1_{3}^{'})}^{'}$ , 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	0.020	0.269	0.020	0.024	0.008	0.178	0.010	0.008
3	0.500	0.014	0.409	0.040	0.018	0.007	0.270	0.021	0.007
4	0.600	0.021	0.510	0.057	0.025	0.007	0.324	0.030	0.010
5	0.667	0.018	0.572	0.079	0.029	0.006	0.361	0.041	0.013
6	0.714	0.016	0.623	0.086	0.033	0.006	0.382	0.046	0.014
7	0.750	0.042	0.666	0.098	0.025	0.018	0.400	0.051	0.011
8	0.778	0.015	0.709	0.103	0.022	0.004	0.421	0.048	0.009
9	0.800	0.031	0.754	0.071	0.026	0.014	0.433	0.040	0.016
10	0.818	0.018	0.760	0.101	0.020	0.006	0.441	0.049	0.006
Ave	0.662	0.022	0.586	0.073	0.025	0.009	0.357	0.037	0.010