Research Article

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

Table 11

Ranking of tests using average powers computed from the values in Tables 7 and 8 for set 2 of alternative distributions.

RankingPower rankings under symmetric long-tailed alternative distributions
Small sample sizesModerate sample sizesOverall sample sizes

1RJBRJBRJB
2SF, , JB, SF, JB, SF, JB
3DPSRELR, CSELRDP
4SWDP, SWSW, CSELR, SRELR
5CSELR, SRELR, ADADAD
6CVMCVM, CVM,
7, LL, LL
8LLSEELR
9SEELRSEELRā€‰