Introduction to Statistics:
Think & Do


Scott Stevens– Champlain College

ISBN-10: 0-9885572-2-3
ISBN-13: 978-0-9885572-2-2
298 Pages
©2019 Worldwide Center of Mathematics, LLC

Digital PDF | $9.95
Print BW | $29.95

Introduction

Stevens’ Introduction to Statistics: Think & Do, is a new kind of textbook/workbook that integrates theoretical content with demonstrative examples and exercises in a page by page bullet-point format. Recognizing that most introductory statistics students will not read a statistics textbook on their own, this text is meant to be presented in class by the instructor. It is organized in such a way that new content is initially summarized at the top of the page, followed by a completed demonstrative example and then immediately followed by a “Your Turn” unfinished example for the students to complete. While this format is certainly typical in classroom lecture it is often difficult for the students to keep up with the lecture and/or faithfully map the lecture material to the corresponding content found in a traditional textbook. Stevens’ book alleviates these problems by combining lecture notes, examples, exercises, and textbook content into a single, well-organized workbook.

This book is meticulously constructed in such a way that each page can be presented as an overhead slide. Unlike many textbooks, the presentation is not written in a conversational tone. It is presented in bullet-point format allowing the instructor to discuss the material in a context of their preference without reading the slides to the students.
This is an affordable one-time-use book with space provided for students to augment the printed material and complete the examples in class. Recognizing that every statistics class has a lot of material to cover in a restricted amount of time, this text/workbook is designed for instructors who feel they currently spend too much time presenting new material and not enough time ‘doing’ it.


Features

  • The text is written in bullet-point format for the purpose of structured presentation and student review.

  • Each topical presentation immediately incorporates student participation in the form of unfinished “Your Turn” examples.

  • Each instructor gets a PDF copy of the student version for presentation purposes.

  • Each instructor gets a PDF copy of the instructor’s version which has detailed solutions to all examples and exercises.

  • The text does not emphasize theoretical details. Important details are footnoted or presented at the end of the chapter.

  • Detailed solutions to selected exercises are presented in the back of the student version - not just the answers.

  • Each chapter ends with a summary worksheet (intended for in-class work). Detailed solutions are provided at the end of the student version and embedded within the instructor version.

  • Examples and exercises regularly demonstrate how the interpretation of answers can be misleading.

  • Emphasis is placed on similar problems with different sample sizes and different confidence/significance levels.

  • Emphasis is placed on writing understandable conclusions and interpretations.

  • The content is not software intensive or specific.

  • Technology demonstrations, organized by chapter, for Excel, TI-82, TI-83/84, SPSS, and Minitab are available at the Technology Demonstration Pages.

Contents

  • 1.1 Statistics and Data
  • 1.2 Sampling
  • 1.3 Lying with Statistics and Percentages
  • Discussion Problems
  • Summary Worksheet
  • Problem Set
  • 2.1 Averages
  • 2.2 Range, Standard Deviation and Variance
  • 2.3 Measures of Relative Standing: z-scores
  • 2.4 Measures of Relative Standing: Quartiles, Percentiles, and Box Plots
  • 2.5 Weighted Averages & Simpson’s Paradox
  • Discussion Problems
  • Summary Worksheet
  • Problem Set
  • 3.1 Frequency Distributions
  • 3.2 Histograms
  • 3.3 Other Statistical Graphics
  • Summary Worksheet
  • Problem Set
  • 4.1 Basics
  • 4.2 Conditional Probability
  • 4.3 The Addition Rule
  • 4.4 The Multiplication Rule
  • 4.5 One Bad Apple - Probabilities of At Least One
  • Discussion Problems
  • Summary Worksheet
  • Problem Set
  • 5.1 Discrete Random Variables and Probability Distributions
  • 5.2 Binomial Probability Distributions
  • 5.3 Mean and Standard Deviation of a Binomial Distribution
  • Discussion Problems
  • Summary Worksheet
  • Problem Set
  • 6.1 Continuous Random Variables and The Standard Normal Distribution
  • 6.2 Normal Distributions in General
  • 6.3 Sampling Distributions
  • 6.4 The Central Limit Theorem
  • 6.5 The Normal Approximation to the Binomial Distribution
  • Summary Worksheet
  • Problem Set
  • 7.1 Introduction to Confidence Intervals
  • 7.2 Estimating a Population Mean and Sample Size (known)
  • 7.3 Estimating a Population Proportion and Sample Size
  • 7.4 Estimating a Population Mean ( unknown)
  • 7.5 A summary and some loose ends
  • Discussion 1: Nate Silver - 2012 Election
  • Discussion 2: Estimating a Population Size
  • Summary Worksheet
  • Problem Set
  • 8.1 Foundations of Hypothesis Testing
  • 8.2 Hypothesis Tests About a Proportion
  • 8.3 Hypothesis Tests About a Mean:   Not Known
  • 8.4 Hypothesis Tests About a Mean:   Known (Optional)
  • Summary Worksheet
  • Problem Set
  • 9.1 Hypothesis Tests for Mean Differences: Paired Data
  • 9.2 Hypothesis Tests for Two Means: Independent Data
  • 9.3 Hypothesis Tests for Two Proportions
  • Summary Worksheet
  • Problem Set
  • 10.1 Correlation
  • 10.2 Linear Regression
  • 10.3 The Hypothesis Test Behind the Scenes
  • 10.4 Multiple Linear Regression: Controlling for Variables - An Introduction
  • Summary Worksheet
  • Problem Set
  • 11.1 Chi-Squared Test for Goodness of Fit
  • 11.2 Chi-Squared Test of Independence
  • 11.3 ANOVA - An Introduction
  • Summary Worksheet
  • Problem Set

 

 

Supplements

  • Introduction to Statistics: Think & Do Instructor Version go > — Faculty may request the available free digital resources online.
  • Introduction to Statistics: Think & Do Video Playlist go >
  • StevensStats.com go > — Quickly find video lectures by chapter, technology demonstration pages, the table of contents, and tables from the text.
  • WebAssign go > — Introduction to Statistics: Think & Do is available with WebAssign. WebAssign is a powerful digital solution designed by educators to enrich the teaching and learning experience. WebAssign provides extensive content, instant assessment, and superior support.