3011CourseNotes

3011CourseNotes - Notes for Statistics 3011 University of...

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Notes for Statistics 3011 * University of Minnesota, Spring 2009 Instructor: Alicia Johnson *Notes accompany the second edition of Statistics: The Art and Science of Learning From Data by Alan Agresti and Christine Franklin
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Contents CHAPTER 1: INTRODUCTION 1 1.1 The Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 The Role of Computers in Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.1 Introduction to R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.2 Getting Started with Rweb . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.3 Entering Data in R and Rweb . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2.4 Getting Help . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 CHAPTER 2: EXPLORING DATA 8 2.1 Types of Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2 Graphical Summaries of Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2.1 Graphical Summaries for Categorical Variables . . . . . . . . . . . . . . . . . 9 2.2.2 Graphical Summaries for Quantitative Variables . . . . . . . . . . . . . . . . 12 2.3 Numerical Summaries of Quantitative Data . . . . . . . . . . . . . . . . . . . . . . . 17 2.3.1 Measures of Center . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.3.2 Measures of Spread . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 CHAPTER 5: PROBABILITY 31 5.1 Randomness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 5.2 Probability Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 5.3 Conditional Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 CHAPTER 6: PROBABILITY DISTRIBUTIONS 50 6.1 Discrete Random Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 6.1.1 Probability Distribution of a Discrete Random Variable . . . . . . . . . . . . 51 6.1.2 Center and Spread of a Probability Distribution . . . . . . . . . . . . . . . . 53 6.2 Continuous Random Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 6.2.1 Density Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 6.2.2 The Normal Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 6.2.3 The Normal Distribution in R . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 6.3 The Binomial Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 CHAPTER 7: SAMPLING DISTRIBUTIONS 82 7.1 The Sampling Distribution of a Sample Mean . . . . . . . . . . . . . . . . . . . . . . 85 7.2 The Sampling Distribution of a Sample Proportion . . . . . . . . . . . . . . . . . . . 90
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Stat 3011 Chapter 0 CHAPTER 8: CONFIDENCE INTERVALS 94 8.1 Point Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 8.2 Interval Estimation .
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This note was uploaded on 10/02/2011 for the course STAT 3011 taught by Professor Wang,zhan during the Spring '09 term at Minnesota.

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3011CourseNotes - Notes for Statistics 3011 University of...

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