Accession Number : ADA267146


Title :   Bounds on Inconsistent Inferences for Sequences of Trials with Varying Probabilities


Descriptive Note : Technical rept.,


Corporate Author : HARVARD UNIV CAMBRIDGE MA DEPT OF STATISTICS


Personal Author(s) : Chernoff, Herman ; Wu, Yingnian


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a267146.pdf


Report Date : 21 Jun 1993


Pagination or Media Count : 21


Abstract : Consider independent pairs of Bernoulli trials on two unknown sequences of probabilities p(1) = (Pi(1) : 1 or = i or = n) and p(2) = (pi(2) : 1 or = i or = n). The data are the numbers of pairs which consist of (0,0), (0,1), (1,0), and (1,1) and can be summarized in a two-way table with entries n00, n01, n10, and n11 adding up to n. The two problems of estimating the mean and variance of the number of discordant pairs n01 + n10 when Ho : p(l) = p(2) is true, and of testing Ho using the number of discordant pairs as a test statistic are considered. Two novel issues arise. While relevant parameters can not be estimated consistently from the available data, useful bounds on these can be derived. While the test is poor for alternatives typically considered in the literature, it may be effective for detecting the presence of unknown explanatory factors which discriminate between supposedly matched pairs.... Two- way tables, Matched pairs, Odds ratio, Discordant pairs.


Descriptors :   *STATISTICAL INFERENCE , *PROBABILITY , *VARIATIONS , TEST AND EVALUATION , STATISTICS , MEAN , SEQUENCES , RATIOS , PARAMETERS


Subject Categories : Statistics and Probability


Distribution Statement : APPROVED FOR PUBLIC RELEASE