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Title:

Simultaneous Inference in General Parametric Models

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Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thus control the o...

Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thus control the overall type I error rate. In this paper we describe simultaneous inference procedures in general parametric models, where the experimental questions are specified through a linear combination of elemental model parameters. The framework described here is quite general and extends the canonical theory of multiple comparison procedures in ANOVA models to linear regression problems, generalized linear models, linear mixed effects models, the Cox model, robust linear models, etc. Several examples using a variety of different statistical models illustrate the breadth of the results. For the analyses we use the R add-on package multcomp, which provides a convenient interface to the general approach adopted here. Key words: multiple tests, multiple comparisons, simultaneous confidence intervals, adjusted p-values, multivariate normal distribution, robust statistics. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-12-04

Source:

http://epub.ub.uni-muenchen.de/2120/1/tr019.pdf

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text

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en

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310 Collections of general statistics *(computed)*

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multcomp: Simultaneous Inference in General Parametric Models, 2008. URL http://CRAN. R-project.org. R package version

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Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thus control the o...

Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thus control the overall type I error rate. In this paper we describe simultaneous inference procedures in general parametric models, where the experimental questions are specified through a linear combination of elemental model parameters. The framework described here is quite general and extends the canonical theory of multiple comparison procedures in ANOVA models to linear regression problems, generalized linear models, linear mixed effects models, the Cox model, robust linear models, etc. Several examples using a variety of different statistical models illustrate the breadth This is a preprint of an article published in Biometrical Journal, Volume 50, Number 3, 346–363. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2010-04-15

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http://cran.r-project.org/web/packages/multcomp/vignettes/generalsiminf.pdf

http://cran.r-project.org/web/packages/multcomp/vignettes/generalsiminf.pdf Minimize

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text

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en

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multcomp: Simultaneous Inference in General Parametric Models, 2008. URL http://CRAN. R-project.org. R package version

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Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thus control the o...

Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thus control the overall type I error rate. In this paper we describe simultaneous inference procedures in general parametric models, where the experimental questions are specified through a linear combination of elemental model parameters. The framework described here is quite general and extends the canonical theory of multiple comparison procedures in ANOVA models to linear regression problems, generalized linear models, linear mixed effects models, the Cox model, robust linear models, etc. Several examples using a variety of different statistical models illustrate the breadth This is a preprint of an article published in Biometrical Journal, Volume 50, Number 3, 346–363. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2010-01-17

Source:

http://cran.r-project.org/web/packages/multcomp/vignettes/generalsiminf.pdf

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multcomp: Simultaneous Inference in General Parametric Models, 2008. URL http://CRAN. R-project.org. R package version

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Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thus control the overall type I error rate. In this paper we describe simultaneous inference procedures in general parametric models, where the experimental questions are specified through a linear combination of elemental model parameters. The framework described here is quite general and extends the canonical theory of multiple comparison procedures in ANOVA models to linear regression problems, generalized linear models, linear mixed effects models, the Cox model, robust linear models, etc. Several examples using a variety of different statistical models illustrate the breadth This is a preprint of an article published in Biometrical Journal, Volume 50, Number 3, 346–363. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2010-07-25

Source:

http://cran.at.r-project.org/web/packages/multcomp/vignettes/generalsiminf.pdf

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The Pennsylvania State University CiteSeerX Archives

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2012-03-25

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http://cran.r-project.org/web/packages/multcomp/vignettes/generalsiminf.pdf

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Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thuscontroltheover...

Simultaneous inference is a common problem in many areas of application. If multiple null hypotheses are tested simultaneously, the probability of rejecting erroneously at least one of them increases beyond the pre-specified significance level. Simultaneous inference procedures have to be used which adjust for multiplicity and thuscontroltheoveralltypeIerrorrate. Inthispaperwedescribesimultaneousinference procedures in general parametric models, where the experimental questions are specified through a linear combination of elemental model parameters. The framework described here is quite general and extends the canonical theory of multiple comparison procedures in ANOVA models to linear regression problems, generalized linear models, linear mixed effects models, the Cox model, robust linear models, etc. Several examples using a variety of different statistical models illustrate the breadth This is a preprint of an article published in Biometrical Journal, Volume 50, Number 3, 346–363. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-24

Source:

http://cran.r-project.org/web/packages/multcomp/vignettes/generalsiminf.pdf

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Chairperson of the Committee

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I would first like to thank my committee members for their patience and comments throughout writing this dissertation. I would especially like to thank Dr. Tanja Karp for her guidance and willingness to always discuss any questions I had. I would also like to thank my wonderful parents whose love and support has been constant and unwavering. My ...

I would first like to thank my committee members for their patience and comments throughout writing this dissertation. I would especially like to thank Dr. Tanja Karp for her guidance and willingness to always discuss any questions I had. I would also like to thank my wonderful parents whose love and support has been constant and unwavering. My in-laws have also been great to me throughout this dissertation. Thank you for all the encouragement, but most of all thank you for not coming close to my computer while I finished!! I thank God for giving me the wonderful opportunity and experience I had at Texas Tech, and for providing wisdom and encouragement when I needed it most. Lastly and most importantly I would like to thank my loving wife. Her support and encouragement was crucial in me finishing this dissertation. Her patience with me while I spent the late nights was unbelievable. Thank you. I owe you one!! Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-01

Source:

http://etd.lib.ttu.edu/theses/available/etd-04252006-004528/unrestricted/Patterson_Andrew_Diss.pdf

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CONTENTS ACKNOWLEDGEMENTS. ii ABSTRACT. vi

CONTENTS ACKNOWLEDGEMENTS. ii ABSTRACT. vi Minimize

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Chairperson of the Committee

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Copyright 2006, Engku-Ngah S. Engku-Chik ACKNOWLEDGEMENTS I have been greatly aided in this dissertation by the insightful suggestions and guidance provided

Copyright 2006, Engku-Ngah S. Engku-Chik ACKNOWLEDGEMENTS I have been greatly aided in this dissertation by the insightful suggestions and guidance provided Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-01

Source:

http://etd.lib.ttu.edu/theses/available/etd-07162006-141253/unrestricted/Engku-Chik_Engku-Ngah.pdf

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LIST OF TABLES ……………………………………………………………………

LIST OF TABLES …………………………………………………………………… Minimize

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ACKNOWLEDGMENTS

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I would like to thank the members of my dissertation committee: Dr. Donald

I would like to thank the members of my dissertation committee: Dr. Donald Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-01

Source:

http://etd.lib.ttu.edu/theses/available/etd-04202006-231049/unrestricted/Xu_Bo_Diss.pdf

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text

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LIST OF TABLES ………………………………………………………………. x

LIST OF TABLES ………………………………………………………………. x Minimize

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Title:

Introduction to Probability Simulation and Gibbs

Author:

Frank Bretz ; Torsten Hothorn ; Peter Westfall ; Michael R. Chernick ; Adriana Horníková ; Scott M. Berry ; Bradley P. Carlin ; J. Jack Lee ; Peter Müller ; Michael R. Chernick ; ...

Frank Bretz ; Torsten Hothorn ; Peter Westfall ; Michael R. Chernick ; Adriana Horníková ; Scott M. Berry ; Bradley P. Carlin ; J. Jack Lee ; Peter Müller ; Michael R. Chernick ; Mathias Drton ; Bernd Sturmfels ; Seth Sullivant ; Adriana Horníková ; Herbert I. Weisberg ; Richard Goldstein ; Geert Verbeke ; Geert Molenberghs ; Subir Ghosh ; Dmytro Gusak ; Er Kukush ; Alexey Kulik ; Yuliya Mishura ; Andrey Pilipenko ; Donald E. Myers ; Babatunde A. Ogunnaike ; Ali Cinar ; Per Kragh Andersen ; Lene Theil ; Skovgaard Stan Lipovetsky ; Eric A. Suess ; Bruce E. Trumbo Nicole Lazar Minimize authors

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This section will review those books whose content and level reflect the general editorial policy of Technometrics. Publishers should send books for review

This section will review those books whose content and level reflect the general editorial policy of Technometrics. Publishers should send books for review Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-05-10

Source:

http://www.biostat.umn.edu/%7Ebrad/TechnometricsReviewAug2011.pdf

http://www.biostat.umn.edu/%7Ebrad/TechnometricsReviewAug2011.pdf Minimize

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text

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en

Subjects:

Networks ; Crowds ; and Markets ; Reasoning About a

Networks ; Crowds ; and Markets ; Reasoning About a Minimize

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