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Book Confidence Bounds and Hypothesis Tests for Normal Distribution Coefficients of Variation

Download or read book Confidence Bounds and Hypothesis Tests for Normal Distribution Coefficients of Variation written by S. P. Verrill and published by . This book was released on 2007 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: For normally distributed populations, we obtain confidence bounds on a ratio of two coefficients of variation, provide a test for the equality of k coefficients of variation, and provide confidence bounds on a coefficient of variation shared by k populations. To develop these confidence bounds and test, we first establish that estimators based on Newton steps from [the square root of n]-consistent estimators may be used in place of efficient solutions of the likelihood equations in likelihood ratio, Wald, and Rao tests. Taking a quadratic mean differentiability approach, Lehmann and Romano have outlined proofs of similar results. We take a Cramér condition approach and make the conditions and their use explicit. Keywords: coefficient of variation, signal to noise ratio, risk to return ratio, one-step Newton estimators, Newton's method, [the square root of n]-consistent estimators, efficient likelihood estimators, Cramér conditions, quadratic mean differentiability, likelihood ratio test, Wald test, Rao test, asymptotics.

Book Confidence Bounds and Hypothesis Tests for Normal Distribution of Variation

Download or read book Confidence Bounds and Hypothesis Tests for Normal Distribution of Variation written by United States Department of Agriculture and published by CreateSpace. This book was released on 2015-02-14 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: For normally distributed populations, we obtain confidence bounds on a ratio of two coefficients of variation, provide a test for the equality of k coefficients of variation, and provide confidence bounds on a coefficient of variation shared by k populations.

Book Introductory Business Statistics paperback B w

Download or read book Introductory Business Statistics paperback B w written by Alexander Holmes and published by . This book was released on 2023-06-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Printed in b&w. Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.

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

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.

Book Distribution Free Statistical Methods Second Edition

Download or read book Distribution Free Statistical Methods Second Edition written by J.S. Maritz and published by CRC Press. This book was released on 2020-11-25 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distribution-free statistical methods enable users to make statistical inferences with minimum assumptions about the population in question. They are widely used, especially in the areas of medical and psychological research. This new edition is aimed at senior undergraduate and graduate level. It also includes a discussion of new techniques that have arisen as a result of improvements in statistical computing. Interest in estimation techniques has particularly grown, and this section of the book has been expanded accordingly. Finally, Distribution-Free Statistical Methods includes more examples with actual data sets appearing in the text.

Book Statistical Hypothesis Testing

Download or read book Statistical Hypothesis Testing written by Ning-Zhong Shi and published by World Scientific. This book was released on 2008 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents up-to-date theory and methods of statistical hypothesis testing based on measure theory. The so-called statistical space is a measurable space adding a family of probability measures. Most topics in the book will be developed based on this term. The book includes some typical data sets, such as the relation between race and the death penalty verdict, the behavior of food intake of two kinds of Zucker rats, and the per capita income and expenditure in China during the 1978?2002 period. Emphasis is given to the process of finding appropriate statistical techniques and methods of evaluating these techniques.

Book Testing Statistical Hypotheses

Download or read book Testing Statistical Hypotheses written by E.L. Lehmann and published by Springer Nature. This book was released on 2022-06-22 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.

Book Understanding Statistics

Download or read book Understanding Statistics written by Arnold Naiman and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1977 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Common statitical measures; The histogram; Probability; The binomial distribution; The normal distribution; Approximation of the binomial distribution by use of the normal distribution; Hypothesis testing: binomial one-sample; Hypothesis testing: binomial two-sample; Hypothesis testing with sample means: large samples; Hypothesis testing with sample means: small samples; Confidence intervals; A chi-square test; Correlation and prediction; Tests involving variance; Nonparametric tests.

Book Understanding Inferential Statistics

Download or read book Understanding Inferential Statistics written by Markus Janczyk and published by Springer Nature. This book was released on 2023-11-25 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does this p-value actually mean? And what is a significant result? This book provides a compact and comprehension-oriented introduction to inferential statistics and answers questions like these. One focus is on the logic underlying inferential statistics and hypothesis testing: Readers learn the most commonly used procedures (t-test, analysis of variance with and without repeated measures, correlation/regression) as well as the pitfalls of data analysis, and develop the understanding necessary to interpret results correctly. The individual chapters are supplemented by concrete evaluation examples from everyday research - including exemplary implementation with the programs SPSS and R. In addition to the classic methods, cross-references to current developments in psychological methodological research are also included.This book is a translation of the original German 3rd edition of Inferenzstatistik verstehen by Markus Janczyk and Roland Pfister. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.

Book Statistics in Physical Science

Download or read book Statistics in Physical Science written by Walter Clark Hamilton and published by . This book was released on 1964 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Testing Statistical Hypotheses

Download or read book Testing Statistical Hypotheses written by Erich Leo Lehmann and published by John Wiley & Sons. This book was released on 1986 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the theory of hypotheses testing and of estimation by confidence intervals. Accompanying Theory of Point Estimation (1983) to cover the main topics of classical statistics, including theory and its principal applications, this second edition contains more on confidence intervals, simultaneous inference, admissibility, and conditioning. The book is thoroughly updated throughout with a new section on conditional inference and an expansion of multivariate material.

Book Probability and Statistical Inference

Download or read book Probability and Statistical Inference written by Nitis Mukhopadhyay and published by CRC Press. This book was released on 2000-03-22 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Priced very competitively compared with other textbooks at this level! This gracefully organized textbook reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, numerous figures and tables, and computer simulations to develop and illustrate concepts. Beginning with an introduction to the basic ideas and techniques in probability theory and progressing to more rigorous topics, Probability and Statistical Inference studies the Helmert transformation for normal distributions and the waiting time between failures for exponential distributions develops notions of convergence in probability and distribution spotlights the central limit theorem (CLT) for the sample variance introduces sampling distributions and the Cornish-Fisher expansions concentrates on the fundamentals of sufficiency, information, completeness, and ancillarity explains Basu's Theorem as well as location, scale, and location-scale families of distributions covers moment estimators, maximum likelihood estimators (MLE), Rao-Blackwellization, and the Cramér-Rao inequality discusses uniformly minimum variance unbiased estimators (UMVUE) and Lehmann-Scheffé Theorems focuses on the Neyman-Pearson theory of most powerful (MP) and uniformly most powerful (UMP) tests of hypotheses, as well as confidence intervals includes the likelihood ratio (LR) tests for the mean, variance, and correlation coefficient summarizes Bayesian methods describes the monotone likelihood ratio (MLR) property handles variance stabilizing transformations provides a historical context for statistics and statistical discoveries showcases great statisticians through biographical notes Employing over 1400 equations to reinforce its subject matter, Probability and Statistical Inference is a groundbreaking text for first-year graduate and upper-level undergraduate courses in probability and statistical inference who have completed a calculus prerequisite, as well as a supplemental text for classes in Advanced Statistical Inference or Decision Theory.

Book Tests of Significance

Download or read book Tests of Significance written by Ramon E. Henkel and published by SAGE Publications, Incorporated. This book was released on 1976-09 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary introduction to significance testing, this paper provides a conceptual and logical basis for understanding these tests.