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Probability & Statistics with R for Engineers and Scientists (Classic Version), 1st edition

  • Michael Akritas

Published by Pearson (March 21st 2018) - Copyright © 2019

1st edition

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Overview

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.


This text grew out of the author’s notes for a course that he has taught for many years to a diverse group of undergraduates. The early introduction to the major concepts engages students immediately, which helps them see the big picture, and sets an appropriate tone for the course. In subsequent chapters, these topics are revisited, developed, and formalized, but the early introduction helps students build a true understanding of the concepts. The text utilizes the statistical software R, which is both widely used and freely available (thanks to the Free Software Foundation). However, in contrast with other books for the intended audience, this book by Akritas emphasizes not only the interpretation of software output, but also the generation of this output. Applications are diverse and relevant, and come from a variety of fields.

Table of contents

1. Basic Statistical Concepts

1.1 Why Statistics?

1.2 Populations and Samples

            1.2.1 Exercises 

1.3 Some Sampling Concepts

            1.3.1 Representative Samples 

            1.3.2 Simple Random Sampling, and Stratied Sampling 

            1.3.3 Sampling With and Without Replacement

            1.3.4 Non-representative Sampling

            1.3.5 Exercises 

1.4 Random Variables and Statistical Populations         

            1.4.1 Exercises 

1.5 Basic Graphics for Data Visualization 

            1.5.1 Histograms and Stem and Leaf Plots

            1.5.2 Scatterplots

            1.5.3 Pie Charts and Bar Graphs 

            1.5.4 Exercises 

1.6 Proportions, Averages and Variances

            1.6.1 Population Proportion and Sample Proportion       

            1.6.2 Population Average and Sample Average         

            1.6.3 Population Variance and Sample Variance         

            1.6.4 Exercises 

1.7 Medians, Percentiles and Box Plots

            1.7.1 Exercises 

1.8 Comparative Studies 

            1.8.1 Basic Concepts and Comparative Graphics        

            1.8.2 Lurking Variables and Simpson’s Paradox         

            1.8.3 Causation: Experiments and Observational Studies      

            1.8.4 Factorial Experiments: Main E

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