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Permutation Testing for Isotonic Inference on Association Studies in Genetics

Part of the SpringerBriefs in Statistics Book Series

DOI: 10.1007/978-3-642-20584-2

ISBN: 978-3-642-20583-5

Publisher: Springer Berlin Heidelberg - Springer Journals

Jul 7, 2011

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Introduction

Salmaso, Luigi; Arboretti, Rosa; Corain, Livio; Mazzaro, Dario

Pages: 1 –4

[Isotonic inference concerns situations in which a set of parameters is assumed, a priori, to satisfy certain order restrictions. In the most common case, where populations are arranged in ordered groups, the parameter of interest is assumed to change monotonically with the ordering of the...
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Association Studies in Genetics

Salmaso, Luigi; Arboretti, Rosa; Corain, Livio; Mazzaro, Dario

Pages: 5 –17

[This chapter is devoted at first to a quick review of case control studies in genetic epidemiology. The case–control method is usually applied in genetic epidemiology to elucidate the role of genetic factors and their interaction with environmental factors in the aetiology of human diseases....
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The Nonparametric Permutation Methodology

Salmaso, Luigi; Arboretti, Rosa; Corain, Livio; Mazzaro, Dario

Pages: 19 –27

[This chapter concerns an overview to multivariate permutation tests by nonparametric combination of dependent permutation tests. Basic theory and properties of such method are illustrated along with the most commonly used combination functions: Fisher, Tippett and Liptak.]
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Statistical Problems of Allelic Association

Salmaso, Luigi; Arboretti, Rosa; Corain, Livio; Mazzaro, Dario

Pages: 29 –51

[This chapter introduces a new approach for testing for allelic association by means of nonparametric permutation tests. The genetic configuration our statistical problem can be formalized by considering bivariate responses: (X1, X2) where the observed subjects are partitioned into two groups...
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Power and Sample Size Simulations

Salmaso, Luigi; Arboretti, Rosa; Corain, Livio; Mazzaro, Dario

Pages: 53 –58

[In this chapter we perform an exhaustive simulation study focused on the nonparametric approach. At first we present some simulations for the nonparametric permutation solution by considering different types of population parameters and genetic models. The likelihood solution is not studied in...
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Case Study

Salmaso, Luigi; Arboretti, Rosa; Corain, Livio; Mazzaro, Dario

Pages: 59 –68

[This chapter reviews a well-known case study from the international biomedical literature. It is well-known that high blood levels of coagulation factor VII represent a risk factor for ischaemic cardiovascular disease. This is supported by many studies from the past decade. Here we refer to a...
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Conclusions

Salmaso, Luigi; Arboretti, Rosa; Corain, Livio; Mazzaro, Dario

Pages: 69 –72

[This final chapter concerns some discussion to emphasize the role of nonparametric combination as a flexible methodology for solving complex problems. These complex testing problems are not adequately taken into consideration in the standard literature. This is in spite of the fact that they are...

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