In epidemiology literature, it is often required to investigate the
relationships between means where the levels of experiment are
actually monotone sets forming a partition on the range of sampling
values. With this need, the analysis of these group means is
generally performed using classical analysis of variance (ANOVA).
However, this method has never been challenged. In this
dissertation, we will formulate and present our examination of its
validity. First, the classical assumptions of normality and
constant variance are not always true. Second, under the null
hypothesis of equal means, the test statistic for the classical
ANOVA technique is still valid. Third, when the hypothesis of equal
means is rejected, the classical analysis techniques for hypotheses
of contrasts are not valid. Fourth, under the alternative
hypothesis, we can show that the monotone property of levels leads
to the conclusion that the means are monotone. Fifth, we propose an
appropriate method for handing the data in this situation.
Proquest, Umi Dissertation Publishing
|Country of origin:
||254 x 203 x 4mm (L x W x T)
||Paperback - Trade
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