Research Article

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

Table 12

Ranking of tests using average powers computed from the values in Table 9 for set 3 of alternative distributions.

RankingPower rankings under asymmetric alternative distributions
Small sample sizesModerate sample sizesOverall sample sizes

1SEELRSEELRSEELR
2SWSWSW
3SF, ADSFSF
4, CVMADAD
5CVM, CVM,
6LL, CSELR, DP
7JBJBJB
8RJBLL, CSELRLL, CSELR
9SRELRDPDP
10SRELRSRELR
11ā€‰RJBRJB
12ā€‰