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Efficiency Comparison of Distribution-Free Transformations in the Straight-Line Regression Problem
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Statistics.
2010 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
非参直线回归问题中不同变换方法的有效性比较 (Chinese)
Abstract [en]

In statistical inference of the distribution-free straight-line regression problem, two common transformations, rank transformation and sign transformation, are used to construct the test statistics. When shall we need to use the transformations and which transformation is more efficient are two common questions met by researchers. In this thesis, we will discuss the comparison of the efficiencies of the statistics before and after the rank transformation or the sign transformation in both theoretical and practical ways. Simulation is also used to compare the efficiencies of the statistics under different distributions. Some recommendations about when to use transformations and which one to choose are put forward associated with the conclusion drawn from the research work we have done.

Place, publisher, year, edition, pages
2010. , p. 25
Keywords [en]
Rank Transformation, Sign Transformation, Efficiency, Efficacy, Distribution-Free Straight-Line Regression
Keywords [zh]
秩变换,符号变换,有效性,非参直线回归
Identifiers
URN: urn:nbn:se:uu:diva-126667OAI: oai:DiVA.org:uu-126667DiVA, id: diva2:326089
Presentation
(English)
Uppsok
Social and Behavioural Science, Law
Supervisors
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Available from: 2010-06-28 Created: 2010-06-21 Last updated: 2010-06-28Bibliographically approved

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Master Thesis of Statistics_UU 2010_Ling Zhang(431 kB)284 downloads
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CiteExportLink to record
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Citation style
  • apa
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  • nn-NB
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Output format
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