Nonparametric tests of hypotheses for umbrella alternatives

dc.contributor.author	Brion, Vladislav
dc.date.accessioned	2013-11-07T19:01:58Z
dc.date.available	2013-11-07T19:01:58Z
dc.date.created	2007
dc.date.issued	2007
dc.degree.level	Masters
dc.degree.name	M.Sc.
dc.description.abstract	A general method for nonparametric hypothesis testing for umbrella alternatives is proposed. Such alternatives arise in situations where the treatment effect changes in direction after reaching a peak. The approach consists of defining two sets of rankings, one corresponding to the observations and the other to the alternative. The test statistic measures the distance between the two sets. The limiting distributions are obtained under the null hypothesis when the location of the peak is known. The simulation study shows good power of the test. A method is proposed for estimating the location of the peak, if it is unknown.
dc.format.extent	53 p.
dc.identifier.citation	Source: Masters Abstracts International, Volume: 47-01, page: 0381.
dc.identifier.uri	http://hdl.handle.net/10393/27571
dc.identifier.uri	http://dx.doi.org/10.20381/ruor-12148
dc.language.iso	en
dc.publisher	University of Ottawa (Canada)
dc.subject.classification	Mathematics.
dc.title	Nonparametric tests of hypotheses for umbrella alternatives
dc.type	Thesis

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