Equivalence test and confidence interval for the difference in proportions for the paired-sample design

✍ Scribed by Toshiro Tango

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 249 KB
• Volume: 17
• Category: Article
• ISSN: 0277-6715
• DOI: 10.1002/(sici)1097-0258(19980430)17:8<891::aid-sim780>3.0.co;2-b

✦ Synopsis

This paper considers a model for the difference of two proportions in a paired or matched design of clinical trials, case-control studies and also sensitivity comparison studies of two laboratory tests. This model includes a parameter indicating both interpatient variability of response probabilities and their correlation. Under the proposed model, we derive a one-sided test for equivalence based upon the efficient score. Equivalence is defined here as not more than 100 per cent inferior. McNemar's test for significance is shown to be a special case of the proposed test. Further, a score-based confidence interval for the difference of two proportions is derived. One of the features of these methods is applicability to the 2;2 table with off-diagonal zero cells; all the McNemar type tests and confidence intervals published so far cannot apply to such data. A Monte Carlo simulation study shows that the proposed test has empirical significance levels closer to the nominal -level than the other tests recently proposed and further that the proposed confidence interval has better empirical coverage probability than those of the four published methods.