An Empirical Likelihood Ratio-Based Omnibus Test for Normality with an Adjustment for Symmetric Alternatives

Table 2

Size-adjusted critical values for the proposed tests at .

Size-adjusted critical values for CUSUM-type-based test statistic at -
	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09	0.10
20	0.4206	0.3437	0.3004	0.2742	0.2547	0.2378	0.2249	0.2140	0.2044	0.1956
30	0.4328	0.3535	0.3112	0.2833	0.2625	0.2466	0.2321	0.2198	0.2095	0.2009
50	0.4458	0.3635	0.3226	0.2920	0.2685	0.2509	0.2361	0.2232	0.2124	0.2022
80	0.4562	0.3695	0.3255	0.2945	0.2720	0.2544	0.2388	0.2260	0.2148	0.2043
100	0.4581	0.3816	0.3348	0.3036	0.2809	0.2627	0.2477	0.2335	0.2219	0.2108
Size-adjusted critical values for Shiryaev–Roberts test statistic at -
	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09	0.10
20	2.7840	2.5992	2.5136	2.4619	2.4231	2.3926	2.3676	2.3465	2.3280	2.3115
30	2.8129	2.6242	2.5361	2.4790	2.4384	2.4067	2.3813	2.3586	2.3384	2.3207
50	2.8519	2.6658	2.5725	2.5066	2.4595	2.4205	2.3908	2.3672	2.3476	2.3280
80	2.8821	2.6758	2.5823	2.5177	2.4648	2.4323	2.4031	2.3761	2.3514	2.3311
100	2.8846	2.6920	2.5877	2.5190	2.4678	2.4368	2.3962	2.3792	2.3559	2.3371