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Few students sitting in their introductory statistics class learn that they are being taught the product of a misguided effort to combine two methods into one. Few students learn that some think the method they are being taught should be banned. Wise Use of Null Hypothesis Tests: A Practitioner’s Handbook follows one of the two methods that were combined: the approach championed by Ronald Fisher. Fisher’s method is simple, intuitive, and immune to criticism. Wise Use of Null Hypothesis Tests is also a user-friendly handbook meant for practitioners. Rather than overwhelming the reader with endless mathematical operations that are rarely performed by hand, the author of Wise Use of Null Hypothesis Tests 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, performed backwards. 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. Offers a user-friendly book, meant for the practitioner, not a comprehensive statistics book Based on the primary literature, not other books Emphasizes the importance of testing null hypotheses to decide upon direction, a topic unrelated to so-called one-tailed tests Covers all the concepts behind null hypothesis testing as it is conventionally understood, while emphasizing a superior method Covers everything the author spent 32 years explaining to others: the debate over correcting for multiple comparisons, the need for factorial analysis, the advantages and dangers of repeated measures, and more Explains that, if we test for direction, we are practicing an unappreciated and unnamed method of inference
Do you have a secret? Are you unsure what you accomplish by testing null hypotheses? Do you ask your colleagues which test to use, perhaps after you have collected the data? Are you perplexed by your statistics book with its technical jargon, italicized symbols, and endless mathematical operations you will never perform by hand? With Null Hypothesis Testing: Demystified! you can be the expert. You can learn the logic behind testing nulls, the simple principles that underly the mathematics of the tests, why different types of tests are required for different types of data, how to design research studies around the null hypothesis tests you will perform, and how to draw the right conclusions from those tests. It's easy!You can learn why many nulls that cannot possibly be true, but it is important to test them anyway! You can learn why P is not the probability of a type I error, why a null hypothesis is not always a statement of no difference, why the alternative or alternate hypothesis (as it is usually defined) is completely useless, why significance is so widely misunderstood that it would better to use another word, why the null should not be accepted just because P > alpha, and more. The practice of testing nulls has been fiercely debated for decades. With Null Hypothesis Testing: Demystified! you can learn what would be the best outcome of that debate-wise use.Null Hypothesis Testing: Demystified! is not a substitute for a traditional statistics book, but rather a complement to such a book. The author of Null Hypothesis Testing: Demystified! uses prose in place of italicized symbols, real world examples of null hypotheses, and only a few mathematical examples to illustrate important points. Null Hypothesis Testing: Demystified! emphasizes concepts and practical application. You really can be the expert, and it is all remarkably simple!
The classic edition of What If There Were No Significance Tests? highlights current statistical inference practices. Four areas are featured as essential for making inferences: sound judgment, meaningful research questions, relevant design, and assessing fit in multiple ways. Other options (data visualization, replication or meta-analysis), other features (mediation, moderation, multiple levels or classes), and other approaches (Bayesian analysis, simulation, data mining, qualitative inquiry) are also suggested. The Classic Edition’s new Introduction demonstrates the ongoing relevance of the topic and the charge to move away from an exclusive focus on NHST, along with new methods to help make significance testing more accessible to a wider body of researchers to improve our ability to make more accurate statistical inferences. Part 1 presents an overview of significance testing issues. The next part discusses the debate in which significance testing should be rejected or retained. The third part outlines various methods that may supplement significance testing procedures. Part 4 discusses Bayesian approaches and methods and the use of confidence intervals versus significance tests. The book concludes with philosophy of science perspectives. Rather than providing definitive prescriptions, the chapters are largely suggestive of general issues, concerns, and application guidelines. The editors allow readers to choose the best way to conduct hypothesis testing in their respective fields. For anyone doing research in the social sciences, this book is bound to become "must" reading. Ideal for use as a supplement for graduate courses in statistics or quantitative analysis taught in psychology, education, business, nursing, medicine, and the social sciences, the book also benefits independent researchers in the behavioral and social sciences and those who teach statistics.
If you have a degree in statistics, you probably know how to choose the correct statistical hypothesis test and you might not learn anything from this book. Then again, you just might… Kristen Kehrer, who has a Master’s degree in statistics, said: “Lee Baker has developed a wonderful visual aid which, frankly, I wish I had when I was first learning about all the different types of test statistics”. The aid she’s talking about is a statistical test flow chart that I call The Hypothesis Wheel, and is what you’ll learn about in Hypothesis Testing. If you’re one of the 99% of researchers and analysts who use statistics but have never studied it at University, then this book is for you. Hypothesis Testing is a short guide to learning how to ask all the right questions of your data to help you in choosing the correct statistical hypothesis test, aided by The Hypothesis Wheel. It is a snappy little non-threatening book about everything you ever wanted to know (but were afraid to ask) about choosing the correct hypothesis test, answers the most frequently asked questions and inspires you to take the next steps in your journey. First, I’ll explain what statistical hypothesis testing is in simple terms. Then I’ll show you how to write a good hypothesis for your study. You’ll learn the difference between a scientific hypothesis and a statistical hypothesis, and between the Null and Alternative hypotheses. Then I’ll introduce to you the Hypothesis Wheel and show you how to use it to choose the correct hypothesis test for your study, first time, every time. By the time you’ve read Hypothesis Testing, you’ll know as much about choosing hypothesis tests as a statistician with a PhD! Yes, really. I’ve left nothing out! Hypothesis Testing makes no assumptions about your previous experience and is perfect for beginners and those just getting started with analysing data. Discover the world of hypothesis testing and choosing the correct statistical test. Get this book, TODAY!
"Statistical Modeling: A Fresh Approach introduces and illuminates the statistical reasoning used in modern research throughout the natural and social sciences, medicine, government, and commerce. It emphasizes the use of models to untangle and quantify variation in observed data. By a deft and concise use of computing coupled with an innovative geometrical presentation of the relationship among variables. A Fresh Approach reveals the logic of statistical inference and empowers the reader to use and understand techniques such as analysis of covariance that appear widely in published research but are hardly ever found in introductory texts."-- book cover
This book combines theoretical underpinnings of statistics with practical analysis of Earth sciences data using MATLAB. Supplementary resources are available online.
An intro to statistics.
"Learning Statistics with R" covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software and adopting a light, conversational style throughout. The book discusses how to get started in R, and gives an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book. For more information (and the opportunity to check the book out before you buy!) visit http://ua.edu.au/ccs/teaching/lsr or http://learningstatisticswithr.com
Learn statistics without fear! Build a solid foundation in data analysis. Be confident that you understand what your data are telling you and that you can explain the results to others! I'll help you intuitively understand statistics by using simple language and deemphasizing formulas. This guide starts with an overview of statistics and why it is so important. We proceed to essential statistical skills and knowledge about different types of data, relationships, and distributions. Then we move to using inferential statistics to expand human knowledge, how it fits into the scientific method, and how to design and critique experiments. Learn the fundamentals of statistics. Why is the field of statistics so vital in our data-driven society? Interpret graphs and summary statistics. Find relationships between different types of variables. Understand the properties of data distributions. Use measures of central tendency and variability. Interpret correlations and percentiles. Use probability distributions to calculate probabilities. Learn about the normal distribution and the binomial distributions in depth. Grasp the differences between descriptive and inferential statistics. Use data collection methodologies properly and understand sample size considerations. Critique scientific experiments-whether it's your own or another researcher's.
An elementary introduction to significance testing, this paper provides a conceptual and logical basis for understanding these tests.