Signed Scale Measures: An Introduction and Application

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dc.contributor.advisor Dennis Boos, Committee Co-Chair en_US
dc.contributor.advisor Jacquelin Dietz, Committee Member en_US
dc.contributor.advisor Len Stefanski, Committee Member en_US
dc.contributor.advisor Jacqueline Hughes-Oliver, Committee Co-Chair en_US
dc.contributor.advisor Paul Bitting, Committee Member en_US Wilson, David Hunt en_US 2010-04-02T18:42:39Z 2010-04-02T18:42:39Z 2002-11-04 en_US
dc.identifier.other etd-10272002-143519 en_US
dc.description.abstract The role of the Interquartile Range in constructing a Boxplot provides the rationale for considering the halves of the "box" in a Boxplot. The two halves of the boxplot are viewed as measures of distance from a measure of location. This viewpoint is the genesis for considering a new class of parameters called signed scale parameters. A conceptual framework for signed scale parameters is introduced and four classes of signed scale parameters are discussed in detail. The small sample and asymptotic behaviors for several signed scale estimators are examined for nine distributions. A new Boxplot construction rule that uses one pair of signed scale estimators is introduced. The common, skew adjusted, and signed Boxplots are compared with respect to their propensity to label observations as "outliers" and their ability to provide skewness information. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject functional en_US
dc.subject signed en_US
dc.subject skewness en_US
dc.subject scale en_US
dc.subject outlier en_US
dc.subject boxplot en_US
dc.title Signed Scale Measures: An Introduction and Application en_US PhD en_US dissertation en_US Statistics en_US

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