Likelihood ratio tests for and against decreasing in transposition in K×K×K contingency tables

✍ Scribed by Hammou El Barmi; Dale Zimmerman

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 108 KB
• Volume: 45
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(99)00035-8

✦ Synopsis

We consider testing for and against decreasing in transposition in K×K×K contingency tables. We show that when testing for exchangeability against this type of ordering, the asymptotic distribution of the likelihood ratio statistic is that of a convolution of several independent chi-bar square distributions and hence is itself a chi-bar square distribution. We provide expressions for the weighting values and we obtain the least-favorable distribution for testing for this type of ordering. Details are given for the cases K = 2 and K = 3. An illustrative example is included.