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Simultaneous Confidence Intervals Using The Restriced Scheffe Method And Sequential Testing Procedures For Single Step Methods
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Book Synopsis Simultaneous Confidence Intervals Using the Restriced Scheffe Method and Sequential Testing Procedures for Single-step Methods by : Yimin Zhang
Download or read book Simultaneous Confidence Intervals Using the Restriced Scheffe Method and Sequential Testing Procedures for Single-step Methods written by Yimin Zhang and published by . This book was released on 2014 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple comparison problems arise when a set of inferences are considered simultaneously. When a separate inference approach is used to answer multiple related questions, it can cause many false positives and lead to erroneous conclusions. Multiple comparison procedures are used to deal with this issue and properly control for multiplicity through some joint measure of erroneous inference. A plethora of measures for error rates, as well as many methods addressing them, have been developed, although in this dissertation, we restrict our attention to familywise error rate (FWE), the probability of making at least one false positive among all the hypotheses.
Book Synopsis Analysis of Variance Via Confidence Intervals by : K D Bird
Download or read book Analysis of Variance Via Confidence Intervals written by K D Bird and published by SAGE. This book was released on 2004-12-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of variance - ANOVA - constitutes the main set of statistical methods through which undergraduate and postgraduate students carry out multivariate analysis. This textbook adopts an innovative approach to ANOVA, placing emphasis on confidence intervals rather than tests of significance.
Book Synopsis A Confidence Interval Comparison of Two Test Procedures Proposed for the Behrens-Fisher Problem by : S. James Press
Download or read book A Confidence Interval Comparison of Two Test Procedures Proposed for the Behrens-Fisher Problem written by S. James Press and published by . This book was released on 1965 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: The procedures of Scheffe and Welch for testing equality of means are compared according to the expected lengths of the confidence intervals they yield, and a criterion is developed for deciding which of the two methods is better in any given situation. An expression for the expected length of the confidence interval for the Scheffe procedure was developed by Scheffe. Because of the asymptotic series nature of the Welch procedure, in this case, the analogous expression is more involved. It is developed below. Graphs are provided to summarize the numerical results. Finally, it is shown that in large samples, the two procedures are equivalent. (Author).
Book Synopsis Multiple Comparisons Using R by : Frank Bretz
Download or read book Multiple Comparisons Using R written by Frank Bretz and published by CRC Press. This book was released on 2016-04-19 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adopting a unifying theme based on maximum statistics, Multiple Comparisons Using R describes the common underlying theory of multiple comparison procedures through numerous examples. It also presents a detailed description of available software implementations in R. The R packages and source code for the analyses are available at http://CRAN.R-project.org After giving examples of multiplicity problems, the book covers general concepts and basic multiple comparisons procedures, including the Bonferroni method and Simes’ test. It then shows how to perform parametric multiple comparisons in standard linear models and general parametric models. It also introduces the multcomp package in R, which offers a convenient interface to perform multiple comparisons in a general context. Following this theoretical framework, the book explores applications involving the Dunnett test, Tukey’s all pairwise comparisons, and general multiple contrast tests for standard regression models, mixed-effects models, and parametric survival models. The last chapter reviews other multiple comparison procedures, such as resampling-based procedures, methods for group sequential or adaptive designs, and the combination of multiple comparison procedures with modeling techniques. Controlling multiplicity in experiments ensures better decision making and safeguards against false claims. A self-contained introduction to multiple comparison procedures, this book offers strategies for constructing the procedures and illustrates the framework for multiple hypotheses testing in general parametric models. It is suitable for readers with R experience but limited knowledge of multiple comparison procedures and vice versa. See Dr. Bretz discuss the book.
Book Synopsis Basic Statistics and Pharmaceutical Statistical Applications, Second Edition by : James E. De Muth
Download or read book Basic Statistics and Pharmaceutical Statistical Applications, Second Edition written by James E. De Muth and published by CRC Press. This book was released on 2006-05-10 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Basic Statistics and Pharmaceutical Statistical Applications successfully provided a practical, easy-to-read, basic statistics book. This second edition not only updates the previous edition, but expands coverage in the area of biostatistics and how it relates to real-world professional practice. Taking you on a roller coaster ride through the world of statistics, Dr. De Muth clearly details the methodology necessary to summarize data and make informed decisions about observed outcomes. What's new or different in the Second Edition? New chapters cover: Measures of association primarily with nominal and ordinal data and and more than 15 tests Survival statistics including actuarial analysis and an introduction to multiple regression with survival data using proportional hazards regression An introduction to the topic of evidence-based practice with discussions of sensitivity and specificity, predictive values, and likelihood ratios Odds ratios and relative risk ratios that provide valuable information for dealing with probability, odds, and risk New sections address Power and sample size determination for two-sample Z-tests of proportions Clinical equivalence and noninferiority studies, process capability, and tolerance limits Methods for assessing repeatability and reproducibility Expanded information includes: Chi square, repeated measures designs, Latin Square designs, nine multiple comparison tests, and outlier testing Inverse prediction with linear regression, handling of multiple data points at different levels of independent variable, and assessment of parallelism of slopes for two samples Additional types of bivariate correlations and various assessments for independence and randomness More nonparametric tests including new information on post hoc comparisons for a significant Kruskal-Wallis test, the Kolmogorov-Smirnov goodness-of-fit test, and the Anderson-Darling test, as well as runs and range tests Eight new tables useful for the interpretation of some of the new inferential statistics De Muth provides concrete examples that enable you to effectively manage information in your day-to-day problem solving and reporting of findings. By avoiding heavy-duty mathematics and theory, even the mathematically challenged can benefit and increase their confidence in using statistics procedures.
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:
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:
Book Synopsis Multiple Testing Procedures and Simultaneous Interval Estimates with the Interval Property by : Yingqiu Ma
Download or read book Multiple Testing Procedures and Simultaneous Interval Estimates with the Interval Property written by Yingqiu Ma and published by . This book was released on 2012 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of step-wise multiple testing procedures arises because single step procedures are extremely conservative. Research into the construction of useful, computationally feasible interval estimates corresponding to step-wise procedures has been slow. We present an alternative method of constructing multiple testing procedures that easily admits corresponding interval estimates. The new approach has the desirable interval property not usually shared by step-wise procedures. Furthermore, the new method take dependency into account and easily carried out. In addition, these intervals are typically shorter, less likely to contain the null point falsely, and are more informative than those based on traditional methods. Applications include treatments vs control, change point and all pairwise comparisons. Examples and simulations are included.
Book Synopsis Confidence Intervals on Variance Components by : Burdick
Download or read book Confidence Intervals on Variance Components written by Burdick and published by CRC Press. This book was released on 1992-02-28 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summarizes information scattered in the technical literature on a subject too new to be included in most textbooks, but which is of interest to statisticians, and those who use statistics in science and education, at an advanced undergraduate or higher level. Overviews recent research on constructin
Book Synopsis Simultaneous Confidence Intervals Between Tukey and Scheffe by : Madeline J. Boyle
Download or read book Simultaneous Confidence Intervals Between Tukey and Scheffe written by Madeline J. Boyle and published by . This book was released on 1995 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sequential analysis. Tests and confidence intervals by : David Siegmund
Download or read book Sequential analysis. Tests and confidence intervals written by David Siegmund and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simultaneous Confidence Intervals by : Maria Cristina Irene Peña Sison
Download or read book Simultaneous Confidence Intervals written by Maria Cristina Irene Peña Sison and published by . This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Estimation Following Sequential Tests by : STANFORD UNIV CALIF DEPT OF STATISTICS.
Download or read book Estimation Following Sequential Tests written by STANFORD UNIV CALIF DEPT OF STATISTICS. and published by . This book was released on 1977 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two methods for obtaining sequential test based confidence intervals for the mean of a normal distribution are proposed and compared. One method involves reducing the bias introduced into the sample mean by optional stopping. the other defines the confidence interval directly in terms of the stopping time of the test. (Author).
Book Synopsis On Simes's Second Conjecture by : Matthew G. Hudson
Download or read book On Simes's Second Conjecture written by Matthew G. Hudson and published by . This book was released on 2020 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major concerns with multiple tests of significance is controlling the family wise error rate. Various methods have been developed to ensure that the false positive rate be maintained at some prespecified level. One of the most well know being the Bonferroni procedure. Simes presented an improved Bonferroni procedure for testing the global hypothesis that is more powerful and less conservative, especially with positively correlated tests. While Simes’s procedure is more powerful, it does not allow for making inferences on the individual hypotheses. However, the Simes procedure has since become the foundation of many p-value based multiple testing procedures. Hochberg and Hommel are two examples of procedures that have extended the Simes procedure to make inferences on individual hypotheses. Though the procedures by Hochberg and Hommel are based on the Simes procedure, they are conservative as they may not be able to reject any of the individual hypotheses when Simes’s test rejects the global null hypothesis. It is this disconnect between the global test and tests for the individual hypotheses where improvements may be made on the power to reject at least one individual hypothesis. Simes second conjecture was to reject the individual hypotheses H(1), ..., H(j), where j = max{j : P(j) j/m}. It can easily be shown that this method would not control the family wise error rate even for independent tests. An extended single-step Simes testing procedure is presented that rejects a subset of the hypotheses rejected in Simes’s second conjecture. This new procedure rejects at least one hypothesis when the Simes global test rejects, making it the most powerful Simes based procedure for the rejection of at least one hypothesis. This procedure is shown to have strong control of the family wise error for three non-negatively correlated normals with the MTP2 property. Further, simulation studies conducted show that the procedure may control the family wise error rate for as many as thirty or more hypotheses for non-negatively correlated normals with the MTP2 property as well as non-negatively correlated chi-square and T test statistics.
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 1994 with total page 772 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.
Book Synopsis Multiple Comparisons by : Alan J. Klockars
Download or read book Multiple Comparisons written by Alan J. Klockars and published by SAGE. This book was released on 1986-09 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the most important methods used to investigate differences between levels of an independent variable within an experimental design. Readers will learn not only how to conduct multiple comparisons in experimental designs but also how to better understand and evaluate published research. "A highly readable introduction to multiple comparison methods, which demands little from its reader in the way of background other than some familiarity with analysis of variance." --The Statistician
Book Synopsis Confidence Intervals, Hypothesis Tests, and T-Tests in Excel - the Excel Statistical Master by : Mark Harmon
Download or read book Confidence Intervals, Hypothesis Tests, and T-Tests in Excel - the Excel Statistical Master written by Mark Harmon and published by . This book was released on 2011-01-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
