This article will provide a brief overview of the book Biostatistics: A Foundation for Analysis and Research, by Muhammad Ibrahim and Jennifer Cook. This is a textbook for the course Introductory Biostatistics at Rutgers University, which is taught by Dr. Ibrahim. The book offers descriptions of biostatistical calculations and concepts, such as central limit theorem and Bayes' theorem, in an accessible yet rigorous language.This article will provide a brief overview of the book Biostatistics: A Foundation for Analysis and Research, by Muhammad Ibrahim and Jennifer Cook. This is a textbook for the course Introductory Biostatistics at Rutgers University, which is taught by Dr. Ibrahim.... The book offers descriptions of biostatistical calculations and concepts, such as central limit theorem and Bayes' theorem, in an accessible yet rigorous language. The book contains examples that are extensively covered in Dr. Ibrahim's lectures; these examples aid students in clarifying the underlying concepts of biostatistics.The book begins with some basic definitions, like what exactly it means for something to be random (the "randomness" of the world is according to a probability distribution). Then it goes on to talk about things which can go wrong when dealing with data. Two of the most common problems are "bias" and "variability".Bias is a scientific term for describing how often something occurs. In statistics, if one were to say that something has a bias of 80%, it would mean that 80% of the time, it occurs. To put a number on a bias is a way of saying how often it will occur, and is not usually used in non-statistical language. An example of a statistic which has a large bias would be the height of people in America: A person who is 5'9" tall might say that all Americans tend to be tall. That would be an incorrect statement because it fails to take into account variation from the mean value. Variability is a statistical term for describing how much one outcome deviates from the mean outcome, and is usually used to determine if a outcome is significant. The rest of the book consists of descriptions of different types of data, including binomial data, Poisson data, linear regression, and multiple regressions. They then go into discussions of things like variance estimation and tests for significance. The final part of the book covers topics like regression models with non-normal data, logistic regression models with count data, and models with categorical predictors. This last part can be confusing at first because you are thinking about things in two different ways at once (what they call "cross-over" between these two areas). After this is the main part of the book, which goes into in-depth statistics.Each chapter contains a section on testing hypotheses which include Bayes' theorem, binomial regression, binomial test, multiple linear regression, and Poisson testing. This section also includes discussion on when to use these tests in different situations based on distributions in the data being consider. The appendices have things like creating in-class learning activities for the class through an information graphics program called PALS (Personal And Learning System) and providing student support materials to help them with their homework. The last appendix is an answer key for each chapter, which can be used as a reference or homework aid.
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