Research Article

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

Table 10

Ranking of tests using average powers computed from the values in Tables 5 and 6 for set 1 of alternative distributions.

RankingPower rankings under symmetric short-tailed alternative distributions
Small sample sizesModerate sample sizesOverall sample sizes
 = 20–50  = 80–100  = 20–100

1SRELR, CSELRSRELR, CSELRSRELR, CSELR
2DPDPDP
3SW, SW,
4SEELR, ADSWAD
5, CVMADSEELR
6SFSF, CVM, SF
7LLSEELRLL
8, JB, RJBJB
9CVMRJB
10LL
11JB
12RJB,