Comparing Power Behaviours for Some Goodness-of-Fit Test Statistics in Sparse Multinomials

✍ Scribed by Dr. H. B. Lawal

• Publisher: John Wiley and Sons
• Year: 1989
• Tongue: English
• Weight: 447 KB
• Volume: 31
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710310306

✦ Synopsis

Suvmary

This paper is concerned with the power behaviour of four goodness-of-fit test statistics in sparse multinomials with k cells. Most previous work has been concerned only with both Pearson's Xz and the likelihood ratio test statistics. We consider in this study, two additional test statistics, namely, the Cressie-Read test statistic -1 ( 2 / 3 ) and the modified Freeman-Tukey test (FT) statistic. Because E E 10 in this study, a Monte Carl0 procedure based on 1000 simulated samples is used to estimate the powers for the four test statistics. Alternatives on various line segments are employed. Results suggest that none of the :test statistics completely dominate the other and that the choice of which test to use depends on the nature of the alternative hypothesis. These results are consistent with those obtained by WEST and KEMFTHOBNE (1,972). although, the Peareon's x 2 test statistic may be preferred because of i t s closer approximatioh to the distribution in terms of the attained a levels.