1 5
are computationally much easier to calculate. Furthermore,
exact tables can be generated for any member of the class
proposed by Popovich.
With the background established for the research in
this thesis, the attention will now be focused toward the
development of the test statistics to be investigated
here. Chapter Two will present a statistic for testing for
differences in scale which can be viewed as an extension of
Kepner's tt n for censored data. In Chapter Three, another
statistic will be presented for the same alternative but
more in the spirit of the work proposed by Popovich, that
is, the linear combination of two statistics which are
conditionally independent (conditioned on the number of type
1 and (type 2 + type 3) pairs observed). For the more
general alternative (i.e., differences in location and/or
scale), Chapter Four will present a statistic(s) which is a
vector of two statistics (one for scale and one for
location) following the work of Kepner. Lastly, Chapter
Five will present a Monte Carlo study of the statistics
developed in this dissertation.