| Summary: | 碩士 === 輔仁大學 === 數學系 === 84 === Measures of association is a statistical concept which has
drawn remarkable attention since Pearson (1904,1913) and Yule
(1900, 1912). A great amount of measures have been proposed and
modified, for example, odds ratio, Matel-Haenszel log-odds-
ratio, relative risk, concentration coefficient, uncertainly
coefficient, gamma, tau-b, somers' d, kappa ..etc. These
measures were proposed under the consideration of better
interpretation for both nominal and ordinal variables with
different sampling schemes. However, all these measures are
just a number, and it's difficult to access its bias,
variability and its p-value. Although the Delta method gives
the asymptotic variance of these measures, the accuracy has
never been justified, and the confidence intervals based on the
asymptotic variance are questionable, especially when the
sample size is small. I proposed the Sampling-Based approach to
solve all these problems with both of classical and Bayesian's
points of view.
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