1 2
locations and thus location differences do not influence the
performance of the test.
For the more general alternative of location and/or
scale differences, a small sample permutation test for
bivariate symmetry was proposed based on the quadratic form
whe r e
T
n
W + is the Wilcoxon signed rank test statistic calculated on
the Yj^'s and tt n is as previously defined. Again, the
conditioning of the test is on the collection matrix Cn. He
/
obtains the limiting distribution of the small sample
permutation test and proposes a large sample
distribution-free approximation which is computationally
efficient.
The second collection of articles which will be
mentioned deals with the topic of censored matched pairs.
Much work has been done recently in the area of censored
data, but the work of Woolson and Lachenbruch (1980) and
Popovich (1983) most directly influence the results in this
thesis and thus will be described here.
Woolson and Lachenbruch (1980) considered the problem
of testing for differences in location using censored