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Methods for analysis of skewed data distributions in psychiatric clinical studies: Working with many zero values K L. Delucchi A Bostrom This postprint is also in the postprint series of the following research unit(s):
ABSTRACT: Objective: Psychiatric clinical studies, including those in drug
abuse research, often provide data that are challenging to analyze and use for
hypothesis testing because they are heavily skewed and marked by an abundance
of zero values. The authors consider methods of analyzing data with those
characteristics. Method: The possible meaning of zero values and the
statistical methods that are appropriate for analyzing data with many zero
values in both cross-sectional and longitudinal designs are reviewed. The
authors illustrate the application of these alternative methods using sample
data collected with the Addiction Severity Index. Results: Data that include
many zeros, if the zero value is considered the lowest value on a scale that
measures severity, may be analyzed with several methods other than standard
parametric tests. It zero values are considered an indication of a case without
a problem, for which a measure of severity is not meaningful, analyses should
include separate statistical models for the zero values and for the nonzero
values. Tests linking the separate models are available. Conclusions: Standard
methods, such as t tests and analyses of variance, may be poor choices for data
that have unique features. The use of proper statistical methods leads to more
meaningful study results and conclusions.
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