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In fields such as biology, medical sciences, sociology, and economics researchers often face the situation where the number of available observations, or the amount of available information, is sufficiently small that approximations based on the normal distribution may be unreliable. Theoretical work over the last quarter-century has led to new likelihood-based methods that lead to very accurate approximations in finite samples, but this work has had limited impact on statistical practice. This book illustrates by means of realistic examples and case studies how to use the new theory, and investigates how and when it makes a difference to the resulting inference. The treatment is oriented towards practice and comes with code in the R language (available from the web) which enables the methods to be applied in a range of situations of interest to practitioners. The analysis includes some comparisons of higher order likelihood inference with bootstrap or Bayesian methods.
Statistical hypothesis testing --- Asymptotic theory. --- Mathematics. --- Math --- Science --- Asymptotic theory in statistical hypothesis testing --- Asymptotic expansions
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Examining the major approaches to hypothesis testing and model selection, this book blends statistical theory with recommendations for practice, illustrated with real-world social science examples. It systematically compares classical (frequentist) and Bayesian approaches, showing how they are applied, exploring ways to reconcile the differences between them, and evaluating key controversies and criticisms. The book also addresses the role of hypothesis testing in the evaluation of theories, the relationship between hypothesis tests and confidence intervals, and the role of prior knowledge in Bayesian estimation and Bayesian hypothesis testing. Two easily calculated alternatives to standard hypothesis tests are discussed in depth: the Akaike information criterion (AIC) and Bayesian information criterion (BIC)
Social sciences --- Statistical hypothesis testing. --- Statistical methods. --- Methodology.
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Advocates within the growing field of children's rights have designed dynamic campaigns to protect and promote children's rights. This expanding body of international law and jurisprudence, however, lacks a core text that provides an up-to-date look at current children's rights issues, the evolution of children's rights law, and the efficacy of efforts to protect children. Campaigning for Children focuses on contemporary children's rights, identifying the range of abuses that affect children today, including early marriage, female genital mutilation, child labor, child sex tourism, corporal punishment, the impact of armed conflict, and access to education. Jo Becker traces the last 25 years of the children's rights movement, including the evolution of international laws and standards to protect children from abuse and exploitation. From a practitioner's perspective, Becker provides readers with careful case studies of the organizations and campaigns that are making a difference in the lives of children, and the relevant strategies that have been successful—or not. By presenting a variety of approaches to deal with each issue, this book carefully teases out broader lessons for effective social change in the field of children's rights.
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Finalist for the 2017 National Jewish Book Award in Modern Jewish Thought and Experience presented by the Jewish Book CouncilMovies and Midrash uses cinema as a springboard to discuss central Jewish texts and matters of belief. A number of books have drawn on films to explicate Christian theology and belief, but Wendy I. Zierler is the first to do so from a Jewish perspective, exploring what Jewish tradition, text, and theology have to say about the lessons and themes arising from influential and compelling films. The book uses the method of "inverted midrash": while classical rabbinical midrash begins with exegesis of a verse and then introduces a mashal (parable) as a means of further explication, Zierler turns that process around, beginning with the culturally familiar cinematic parable and then analyzing related Jewish texts. Each chapter connects a secular film to a different central theme in classical Jewish sources or modern Jewish thought. Films covered include The Truman Show (truth), Memento (memory), Crimes and Misdemeanors (sin), Magnolia (confession and redemption), The Descendants (birthright), Forrest Gump (cleverness and simplicity), and The Hunger Games (creation of humanity in God's image), among others.
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Power analysis is an essential tool for determining whether a statistically significant result can be expected in a scientific experiment prior to the experiment being performed. Many funding agencies and institutional review boards now require power analyses to be carried out before they will approve experiments, particularly where they involve the use of human subjects. This comprehensive, yet accessible, book provides practising researchers with step-by-step instructions for conducting power/sample size analyses, assuming only basic prior knowledge of summary statistics and the normal distribution. It contains a unified approach to statistical power analysis, with numerous easy-to-use tables to guide the reader without the need for further calculations or statistical expertise. This will be an indispensable text for researchers and graduates in the medical and biological sciences needing to apply power analysis in the design of their experiments.
Medicine --- Statistical power analysis. --- Power analysis (Statistics) --- Statistical hypothesis testing --- Health Workforce --- Research --- Statistical methods.
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This study describes the validity of models involving statistical distribution of data. The smooth tests are a subset of these tests which are easy to apply and can be used in any situation in which there are relatively large sample sizes.
Goodness-of-fit tests. --- Tests, Goodness-of-fit --- Statistical hypothesis testing
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This revised book provides a thorough explanation of the foundation of robust methods, incorporating the latest updates on R and S-Plus, robust ANOVA (Analysis of Variance) and regression. It guides advanced students and other professionals through the basic strategies used for developing practical solutions to problems, and provides a brief background on the foundations of modern methods, placing the new methods in historical context. Author Rand Wilcox includes chapter exercises and many real-world examples that illustrate how various methods perform in different situations.Introd
Estimation theory. --- Robust statistics. --- Statistical hypothesis testing. --- Hypothesis testing (Statistics) --- Significance testing (Statistics) --- Statistical significance testing --- Testing statistical hypotheses --- Distribution (Probability theory) --- Hypothesis --- Mathematical statistics --- Statistics, Robust --- Estimating techniques --- Least squares --- Stochastic processes
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"Wise Use of Null Hypothesis Tests is a user-friendly handbook meant for practitioners. Rather than overwhelming the reader with endless mathematical operations that are rarely performed by hand, the author emphasizes concepts and reasoning. In Wise Use of Null Hypothesis Tests, the author explains what is accomplished by testing null hypotheses--and what is not. The author explains the misconceptions that concern null hypothesis testing. He explains why confidence intervals show the results of null hypothesis tests. Most importantly, the author explains the Big Secret. Many--some say all--null hypotheses must be false. But authorities tell us we should test false null hypotheses anyway to determine the direction of a difference that we know must be there (a topic unrelated to so-called one-tailed tests). In Wise Use of Null Hypothesis Tests, the author explains how to control how often we get the direction wrong (it is not half of alpha) and commit a Type III (or Type S) error."--
Mathematical statistics. --- Statistical hypothesis testing. --- Hypothesis testing (Statistics) --- Significance testing (Statistics) --- Statistical significance testing --- Testing statistical hypotheses --- Distribution (Probability theory) --- Hypothesis --- Mathematical statistics --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical methods
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From eminent biologists like Alfred Russel Wallace and Charles Darwin to famous authors such as Rudyard Kipling in his Just So Stories, many people have asked, "Why do zebras have stripes?" There are many explanations, but until now hardly any have been seriously addressed or even tested. In Zebra Stripes, Tim Caro takes readers through a decade of painstaking fieldwork examining the significance of black-and-white striping and, after systematically dismissing every hypothesis for these markings with new data, he arrives at a surprising conclusion: zebra markings are nature's defense against biting fly annoyance. Popular explanations for stripes range from camouflage to confusion of predators, social facilitation, and even temperature regulation. It is a serious challenge to test these proposals on large animals living in the wild, but using a combination of careful observations, simple field experiments, comparative information, and logic, Caro is able to weigh up the pros and cons of each idea. Eventually-driven by experiments showing that biting flies avoid landing on striped surfaces, observations that striping is most intense where biting flies are abundant, and knowledge of zebras' susceptibility to biting flies and vulnerability to the diseases that flies carry-Caro concludes that black-and-white stripes are an adaptation to thwart biting fly attack. Not just a tale of one scientist's quest to solve a classic mystery of biology, Zebra Stripes is also a testament to the tremendous value of longitudinal research in behavioral ecology, demonstrating how observation, experiment, and comparative research can together reshape our understanding of the natural world.
Zebras --- Stripes. --- Protective coloration (Biology) --- Color. --- adaptive significance. --- black and white coloration. --- equids. --- evolution. --- hypothesis testing. --- zebras.
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