Exact Unconditional Tests for 2x2 Contingency Tables /

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For the two problems considered in Chapters- 3 and 4, the maximum likelihood estimator is a function of the sufficient statistic. This statistic and the chi-square goodness-of-fit statistic are the most appealing since (2.5.1) could be computationally laborious.
A further advantage of using the test statistics (2.5.1), (2.5.2) and (2.5.3) is their well-known and well-tabulated asymptotic distributions. These tables can be used to find reasonable starting points for the critical values. Moreover
..., these values can be compared to the percentage points of the asymptotic distributions and thus provide a study of the accuracy of the large sample approximations.
CHAPTER 3 THE 2x2 TABLE FOR INDEPENDENT PROPORTIONS 3.1 Introduction A classical problem is the one of comparing two proportions from independent samples . This seemingly simple problem that involves only four numbers, has generated a large amount of .literature and has been the subject of much controversy about the use of conditional tests.


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