Transformations for Semi-Continuous Data

TitleTransformations for Semi-Continuous Data
Publication TypeJournal Article
Year of Publication2008
AuthorsShmueli, G., W. Jank, and V. Hyde
JournalComputational Statistics & Data Analysis

Semi-continuous data arise in many applications where
naturally-continuous data become contaminated by the data generating
mechanism. The resulting data contain several values that are “too
frequent”, and in that sense are a hybrid between discrete and
continuous data. The main problem is that standard statistical methods,
which are geared towards continuous or discrete data, cannot be applied
adequately to semi-continuous data. We propose a new set of two
transformations for semi-continuous data that “iron out” the
too-frequent values thereby transforming the data to completely
continuous. We show that the transformed data
maintain the properties of the original data, but are suitable for
standard analysis. The transformations and their performance are
illustrated using simulated data and real auction data from the online
auction site eBay.

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