A Multiple Testing Approach To The Multivariate Behrens Fisher Problem
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Author | : Tejas Desai |
Publisher | : Springer Science & Business Media |
Total Pages | : 60 |
Release | : 2013-02-26 |
Genre | : Mathematics |
ISBN | : 1461464439 |
In statistics, the Behrens–Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples. In his 1935 paper, Fisher outlined an approach to the Behrens-Fisher problem. Since high-speed computers were not available in Fisher’s time, this approach was not implementable and was soon forgotten. Fortunately, now that high-speed computers are available, this approach can easily be implemented using just a desktop or a laptop computer. Furthermore, Fisher’s approach was proposed for univariate samples. But this approach can also be generalized to the multivariate case. In this monograph, we present the solution to the afore-mentioned multivariate generalization of the Behrens-Fisher problem. We start out by presenting a test of multivariate normality, proceed to test(s) of equality of covariance matrices, and end with our solution to the multivariate Behrens-Fisher problem. All methods proposed in this monograph will be include both the randomly-incomplete-data case as well as the complete-data case. Moreover, all methods considered in this monograph will be tested using both simulations and examples.
Author | : Springer |
Publisher | : |
Total Pages | : 64 |
Release | : 2013-02-25 |
Genre | : |
ISBN | : 9781461464440 |
Author | : KOICHI. ITO |
Publisher | : |
Total Pages | : 1 |
Release | : 1955 |
Genre | : |
ISBN | : |
Author | : William Thomas Coombs |
Publisher | : |
Total Pages | : 296 |
Release | : 1992 |
Genre | : Education |
ISBN | : |
Author | : Paruchuri R. Krishnaiah |
Publisher | : |
Total Pages | : 728 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : |
Nonparametric methods; Multivariate analysis of variance and related topics; Distribution theory; Characteristic functions and characterization problems; Time series and stochastic processes; Decision procedures; Econometrics, principal components, reliability, and applications.
Author | : |
Publisher | : |
Total Pages | : 574 |
Release | : 1970 |
Genre | : Weights and measures |
ISBN | : |
Author | : Brian L. Joiner |
Publisher | : |
Total Pages | : 512 |
Release | : 1970 |
Genre | : Annals of mathematical statistics |
ISBN | : |
All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
Author | : Tae-Hak Park |
Publisher | : |
Total Pages | : 502 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Shein-Chung Chow |
Publisher | : CRC Press |
Total Pages | : 4031 |
Release | : 2018-09-03 |
Genre | : Medical |
ISBN | : 135111025X |
Since the publication of the first edition in 2000, there has been an explosive growth of literature in biopharmaceutical research and development of new medicines. This encyclopedia (1) provides a comprehensive and unified presentation of designs and analyses used at different stages of the drug development process, (2) gives a well-balanced summary of current regulatory requirements, and (3) describes recently developed statistical methods in the pharmaceutical sciences. Features of the Fourth Edition: 1. 78 new and revised entries have been added for a total of 308 chapters and a fourth volume has been added to encompass the increased number of chapters. 2. Revised and updated entries reflect changes and recent developments in regulatory requirements for the drug review/approval process and statistical designs and methodologies. 3. Additional topics include multiple-stage adaptive trial design in clinical research, translational medicine, design and analysis of biosimilar drug development, big data analytics, and real world evidence for clinical research and development. 4. A table of contents organized by stages of biopharmaceutical development provides easy access to relevant topics. About the Editor: Shein-Chung Chow, Ph.D. is currently an Associate Director, Office of Biostatistics, U.S. Food and Drug Administration (FDA). Dr. Chow is an Adjunct Professor at Duke University School of Medicine, as well as Adjunct Professor at Duke-NUS, Singapore and North Carolina State University. Dr. Chow is the Editor-in-Chief of the Journal of Biopharmaceutical Statistics and the Chapman & Hall/CRC Biostatistics Book Series and the author of 28 books and over 300 methodology papers. He was elected Fellow of the American Statistical Association in 1995.
Author | : Shlomo S. Sawilowsky |
Publisher | : IAP |
Total Pages | : 440 |
Release | : 2007-01-01 |
Genre | : Education |
ISBN | : 160752578X |
The invited authors of this edited volume have been prolific in the arena of Real Data Analysis (RDA) as it applies to the social and behavioral sciences, especially in the disciplines of education and psychology. Combined, this brain trust represents 3,247 articles in refereed journals, 127 books published, US $45.3 Million in extramural research funding, 34 teaching and 92 research awards, serve(d) as Editor/Assistant Editor/Editorial Board Member for 95 peer reviewed journals, and provide (d) ad hoc reviews for 362 journals. Their enormous footprint on real data analysis is showcased for professors, researchers, educators, administrators, and graduate students in the second text in the AERA/SIG ES Quantitative Methods series.