The Coverage Probablity Of Confidence Intervals In Regression After A Test For Parallelism

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The Coverage Probablity of Confidence Intervals in Regression After a Test for Parallelism

Author : Monika Buljan
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (657 download)

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Book Synopsis The Coverage Probablity of Confidence Intervals in Regression After a Test for Parallelism by : Monika Buljan

Download or read book The Coverage Probablity of Confidence Intervals in Regression After a Test for Parallelism written by Monika Buljan and published by . This book was released on 2009 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider an analysis of covariance with a single covariate and a number of treatments. It is common practice to perform a preliminary test of the null hypothesis of parallelism for each treatment group before proceeding with further inference. If the null hypothesis is accepted, that is, that the slope of each of the straight lines is the same, then further inference proceeds on the assumption that the slopes of the lines are actually the same. Of course it is possible that the particular slopes of the lines are different, even when the null hypothesis of parallelism is accepted. This thesis will focus on inference in the form of confidence intervals for treatment differences. We will specifically consider how a preliminary hypothesis test for parallelism affects the coverage probability of these confidence intervals. This is explored by conducting Monte-Carlo simulations based on a real life data set using the programming language R. The real life data are about the effect of additives on weight gain in animals, which has four treatments with three subjects in each treatment group. It turns out that performing an initial test of parallelism is problematic because the minimum coverage probability of the confidence intervals falls below the nominal coverage. Hence the confidence intervals constructed after a preliminary test of parallelism are in fact, misleading.

On the coverage probability of confidence intervals in regression after variable selection

Author : Paul Kabaila
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (955 download)

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Book Synopsis On the coverage probability of confidence intervals in regression after variable selection by : Paul Kabaila

Download or read book On the coverage probability of confidence intervals in regression after variable selection written by Paul Kabaila and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Effects of Model Selection on the Coverage Probability of Confidence Intervals in Binary-response Logistic Regression

Author : Dongquan Zhang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (458 download)

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Book Synopsis Effects of Model Selection on the Coverage Probability of Confidence Intervals in Binary-response Logistic Regression by : Dongquan Zhang

Download or read book Effects of Model Selection on the Coverage Probability of Confidence Intervals in Binary-response Logistic Regression written by Dongquan Zhang and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Confidence Intervals in Regression Utilizing Prior Information

Author : Khageswor Giri
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (388 download)

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Book Synopsis Confidence Intervals in Regression Utilizing Prior Information by : Khageswor Giri

Download or read book Confidence Intervals in Regression Utilizing Prior Information written by Khageswor Giri and published by . This book was released on 2008 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: We use the form of the naive 1 - DC[alpha] confidence interval to motivate a new frequentist 1 - DC[alpha] confidence interval that utilizes uncertain prior information about the regression parameters. This interval has expected length that (a) is relatively small when this prior information is correct and (b) has maximum value that is not too large. It has coverage probability 1 - DC[alpha] throughout the parameter space and, unlike the naive confidence interval, has endpoints that are continuous functions of the data. Additionally, this interval coincides with the standard 1 - DC[alpha] confidence interval when the data happens to strongly contradict the prior information. We then use compromise decision theory to find bounds on the performance of this new confidence interval for large samples. Finally, we consider a 2 x 2 factorial experiment with more than one replicate. We describe new simultaneous frequentist confidence intervals for the population cell means, with simultaneous confidence coefficient 1 - DC[alpha], that utilize uncertain prior information that the two-factor interaction is zero.

Sequential Confidence Intervals Based on Rank Tests

Author : Jan Cornelius Geertsema
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Sequential Confidence Intervals Based on Rank Tests by : Jan Cornelius Geertsema

Download or read book Sequential Confidence Intervals Based on Rank Tests written by Jan Cornelius Geertsema and published by . This book was released on 1968 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Confidence Intervals Following Group Sequential Testing

Author : Pamela Ann Ohman
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Confidence Intervals Following Group Sequential Testing by : Pamela Ann Ohman

Download or read book Confidence Intervals Following Group Sequential Testing written by Pamela Ann Ohman and published by . This book was released on 1996 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Construction of Confidence Intervals and Hypothesis Testing for the Mean of a Normal Population When the Coefficient of Variation is Known

Download Construction of Confidence Intervals and Hypothesis Testing for the Mean of a Normal Population When the Coefficient of Variation is Known PDF Online Free

Author : Rubing Luo
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis Construction of Confidence Intervals and Hypothesis Testing for the Mean of a Normal Population When the Coefficient of Variation is Known by : Rubing Luo

Download or read book Construction of Confidence Intervals and Hypothesis Testing for the Mean of a Normal Population When the Coefficient of Variation is Known written by Rubing Luo and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation of con dence interval and hypothesis testing for a normal mean when the coe cient of variation is known, is quite di erent from the situation when the variance is known. Mostly, the situation when the variance is known is only of theoretical interest. There are many practical situations when the coe cient of variation is known. This situation arises in medical, biological and environmental studies. In the theoretical part of the thesis, we proved that the considered estimates are unbiased estimator with minimum variance and asymptotically normal. We con- struct statistical tests for the normal mean based on the best asymptotically normal estimator with minimum variance and the minimum risk scale equivariant estimator and the modi ed version of them. In the computational part, we calculate the cov- erage probability and width length of con dence interval of ve estimators. We also develop hypothesis tests for normal mean in case of known coe cient of variation. We estimate the type I error and the power of the proposed statistics under di er- ent situations. The simulation results show that all proposed test statistics perform better for a large sample and a small value of coe cient of variation. Keywords: Mean of a normal distribution; Coe cient of variation; Coverage probability; Con dence interval; Hypothesis testing.

Confidence Intervals for a Binomial Parameter Based on Multistage Tests

Author : Diane E. Duffy
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Confidence Intervals for a Binomial Parameter Based on Multistage Tests by : Diane E. Duffy

Download or read book Confidence Intervals for a Binomial Parameter Based on Multistage Tests written by Diane E. Duffy and published by . This book was released on 1986 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Confidence Intervals in Generalized Regression Models

Author : Esa Uusipaikka
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781420060270
Total Pages : 328 pages
Book Rating : 4.0/5 (62 download)

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Book Synopsis Confidence Intervals in Generalized Regression Models by : Esa Uusipaikka

Download or read book Confidence Intervals in Generalized Regression Models written by Esa Uusipaikka and published by Chapman and Hall/CRC. This book was released on 2008-07-25 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Cohesive Approach to Regression Models Confidence Intervals in Generalized Regression Models introduces a unified representation—the generalized regression model (GRM)—of various types of regression models. It also uses a likelihood-based approach for performing statistical inference from statistical evidence consisting of data and its statistical model. Provides a Large Collection of Models The book encompasses a number of different regression models, from very simple to more complex ones. It covers the general linear model (GLM), nonlinear regression model, generalized linear model (GLIM), logistic regression model, Poisson regression model, multinomial regression model, and Cox regression model. The author also explains methods of constructing confidence regions, profile likelihood-based confidence intervals, and likelihood ratio tests. Uses Statistical Inference Package to Make Inferences on Real-Valued Parameter Functions Offering software that helps with statistical analyses, this book focuses on producing statistical inferences for data modeled by GRMs. It contains numerical and graphical results while providing the code online.

An Empirical Study of Convergence Rates and Resampling-based Confidence Interval Methods for Step Threshold Linear Regression Models

Download An Empirical Study of Convergence Rates and Resampling-based Confidence Interval Methods for Step Threshold Linear Regression Models PDF Online Free

Author : Shuangcheng Hua
Publisher :
ISBN 13 :
Total Pages : 69 pages
Book Rating : 4.:/5 (119 download)

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Book Synopsis An Empirical Study of Convergence Rates and Resampling-based Confidence Interval Methods for Step Threshold Linear Regression Models by : Shuangcheng Hua

Download or read book An Empirical Study of Convergence Rates and Resampling-based Confidence Interval Methods for Step Threshold Linear Regression Models written by Shuangcheng Hua and published by . This book was released on 2020 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis studies the convergence rates of maximum likelihood estimators and coverage probabilities of resampling-based confidence intervals of parameters in step threshold linear regression models through Monte Carlo experiments under five different data generating models. The results suggest that when the data is not generated from a step threshold model, the convergence rate of the threshold estimator is cubic root n at large sample sizes as theory indicates. In terms of coverage probabilities of the confidence intervals, the results show that the optimal block size for m-out-of-n bootstrap or subsampling depends on whether the model is correctly specified.

Confidence Intervals in Generalized Regression Models

Author : Esa I. Uusipaikka
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Confidence Intervals in Generalized Regression Models by : Esa I. Uusipaikka

Download or read book Confidence Intervals in Generalized Regression Models written by Esa I. Uusipaikka and published by . This book was released on 2009 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods and Applications of Statistics in Clinical Trials, Volume 1

Author : Narayanaswamy Balakrishnan
Publisher : John Wiley & Sons
ISBN 13 : 1118595912
Total Pages : 937 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Methods and Applications of Statistics in Clinical Trials, Volume 1 by : Narayanaswamy Balakrishnan

Download or read book Methods and Applications of Statistics in Clinical Trials, Volume 1 written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2014-03-05 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete guide to the key statistical concepts essential for the design and construction of clinical trials As the newest major resource in the field of medical research, Methods and Applications of Statistics in Clinical Trials, Volume 1: Concepts, Principles, Trials, and Designs presents a timely and authoritative reviewof the central statistical concepts used to build clinical trials that obtain the best results. The referenceunveils modern approaches vital to understanding, creating, and evaluating data obtained throughoutthe various stages of clinical trial design and analysis. Accessible and comprehensive, the first volume in a two-part set includes newly-written articles as well as established literature from the Wiley Encyclopedia of Clinical Trials. Illustrating a variety of statistical concepts and principles such as longitudinal data, missing data, covariates, biased-coin randomization, repeated measurements, and simple randomization, the book also provides in-depth coverage of the various trial designs found within phase I-IV trials. Methods and Applications of Statistics in Clinical Trials, Volume 1: Concepts, Principles, Trials, and Designs also features: Detailed chapters on the type of trial designs, such as adaptive, crossover, group-randomized, multicenter, non-inferiority, non-randomized, open-labeled, preference, prevention, and superiority trials Over 100 contributions from leading academics, researchers, and practitioners An exploration of ongoing, cutting-edge clinical trials on early cancer and heart disease, mother-to-child human immunodeficiency virus transmission trials, and the AIDS Clinical Trials Group Methods and Applications of Statistics in Clinical Trials, Volume 1: Concepts, Principles, Trials, and Designs is an excellent reference for researchers, practitioners, and students in the fields of clinicaltrials, pharmaceutics, biostatistics, medical research design, biology, biomedicine, epidemiology,and public health.

Current Index to Statistics, Applications, Methods and Theory

Author :
Publisher :
ISBN 13 :
Total Pages : 948 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Current Index to Statistics, Applications, Methods and Theory by :

Download or read book Current Index to Statistics, Applications, Methods and Theory written by and published by . This book was released on 1999 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.

Generalized Additive Models

Author : Simon Wood
Publisher : CRC Press
ISBN 13 : 1584884746
Total Pages : 412 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Generalized Additive Models by : Simon Wood

Download or read book Generalized Additive Models written by Simon Wood and published by CRC Press. This book was released on 2006-02-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in widespread use, generalized additive models (GAMs) have evolved into a standard statistical methodology of considerable flexibility. While Hastie and Tibshirani's outstanding 1990 research monograph on GAMs is largely responsible for this, there has been a long-standing need for an accessible introductory treatment of the subject that also emphasizes recent penalized regression spline approaches to GAMs and the mixed model extensions of these models. Generalized Additive Models: An Introduction with R imparts a thorough understanding of the theory and practical applications of GAMs and related advanced models, enabling informed use of these very flexible tools. The author bases his approach on a framework of penalized regression splines, and builds a well-grounded foundation through motivating chapters on linear and generalized linear models. While firmly focused on the practical aspects of GAMs, discussions include fairly full explanations of the theory underlying the methods. Use of the freely available R software helps explain the theory and illustrates the practicalities of linear, generalized linear, and generalized additive models, as well as their mixed effect extensions. The treatment is rich with practical examples, and it includes an entire chapter on the analysis of real data sets using R and the author's add-on package mgcv. Each chapter includes exercises, for which complete solutions are provided in an appendix. Concise, comprehensive, and essentially self-contained, Generalized Additive Models: An Introduction with R prepares readers with the practical skills and the theoretical background needed to use and understand GAMs and to move on to other GAM-related methods and models, such as SS-ANOVA, P-splines, backfitting and Bayesian approaches to smoothing and additive modelling.

Statistical Methods in Water Resources

Author : D.R. Helsel
Publisher : Elsevier
ISBN 13 : 0080875084
Total Pages : 539 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Statistical Methods in Water Resources by : D.R. Helsel

Download or read book Statistical Methods in Water Resources written by D.R. Helsel and published by Elsevier. This book was released on 1993-03-03 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data on water quality and other environmental issues are being collected at an ever-increasing rate. In the past, however, the techniques used by scientists to interpret this data have not progressed as quickly. This is a book of modern statistical methods for analysis of practical problems in water quality and water resources.The last fifteen years have seen major advances in the fields of exploratory data analysis (EDA) and robust statistical methods. The 'real-life' characteristics of environmental data tend to drive analysis towards the use of these methods. These advances are presented in a practical and relevant format. Alternate methods are compared, highlighting the strengths and weaknesses of each as applied to environmental data. Techniques for trend analysis and dealing with water below the detection limit are topics covered, which are of great interest to consultants in water-quality and hydrology, scientists in state, provincial and federal water resources, and geological survey agencies.The practising water resources scientist will find the worked examples using actual field data from case studies of environmental problems, of real value. Exercises at the end of each chapter enable the mechanics of the methodological process to be fully understood, with data sets included on diskette for easy use. The result is a book that is both up-to-date and immediately relevant to ongoing work in the environmental and water sciences.

Journal of the American Statistical Association

Author : American Statistical Association
Publisher :
ISBN 13 :
Total Pages : 1106 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Journal of the American Statistical Association by : American Statistical Association

Download or read book Journal of the American Statistical Association written by American Statistical Association and published by . This book was released on 1958 with total page 1106 pages. Available in PDF, EPUB and Kindle. Book excerpt: A scientific and educational journal not only for professional statisticians but also for economists, business executives, research directors, government officials, university professors, and others who are seriously interested in the application of statistical methods to practical problems, in the development of more useful methods, and in the improvement of basic statistical data.

An Introduction to Categorical Data Analysis

Author : Alan Agresti
Publisher : John Wiley & Sons
ISBN 13 : 1119405270
Total Pages : 400 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis An Introduction to Categorical Data Analysis by : Alan Agresti

Download or read book An Introduction to Categorical Data Analysis written by Alan Agresti and published by John Wiley & Sons. This book was released on 2018-10-11 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable new edition of a standard reference The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data. Adding to the value in the new edition is: • Illustrations of the use of R software to perform all the analyses in the book • A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis • New sections in many chapters introducing the Bayesian approach for the methods of that chapter • More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets • An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more. An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.