Cover image for Introduction to statistics and data analysis
Title:
Introduction to statistics and data analysis
Personal Author:
Edition:
3rd ed.
Publication Information:
USA : Brooks/Cole, 2009
Physical Description:
xxv, 847 p. : col.ill. 26 cm.
ISBN:
9780495118770

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30000003491259 QA531 P43 2009 Open Access Book Book
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Summary

Summary

Introduces you to the study of statistics and data analysis by using examples. This book stresses interpretation and communication of statistical information. It helps you grasp concepts and cement your comprehension by using notation - substituting words for symbols.


Table of Contents

1 The Role Of Statistics And The Data Analysis Process
Three Reasons to Study Statistics
The Nature and Role of Variability
Statistics and the Data Analysis Process
Types of Data and Some Simple Graphical Displays
Activity 1.1 Head Sizes: Understanding Variability
Activity 1.2 Estimating Sizes
Activity 1.3 A Meaningful Paragraph
2 Collecting Data Sensibly
Statistical Studies: Observation and Experimentation
Sampling
Simple Comparative Experiments
More on Experimental Design
More on Observational Studies: Designing Surveys (optional)
Communicating and Interpreting the Results of Statistical Analyses
Activity 2.1 Designing a Sampling Plan
Activity 2.2 An Experiment to Test for the Stroop Effect
Activity 2.3 McDonalds and the Next 100 Billion Burgers
Activity 2.4 Video Games and Pain Management
Graphing Calculator Explorations
3 Graphical Methods For Describing Data
Displaying Categorical Data: Comparative Bar Charts and Pie Charts
Displaying Numerical Data: Stem-and-Leaf Displays
Displaying Numerical Data: Frequency Distributions and Histograms
Displaying Bivariate Numerical Data
Communicating and Interpreting the Results of Statistical Analyses
Activity 3.1 Locating States
Activity 3.2 Bean Counters! Graphing Calculator Explorations
4 Numerical Methods For Describing Data
Describing the Center of a Data Set
Describing Variability in a Data Set
Summarizing a Data Set: Boxplots
Interpreting Center and Variability: Chebyshev's Rule, the Empirical Rule, and z Scores
Communicating and Interpreting the Results of Statistical Analyses
Activity 4.1 Collecting and Summarizing Numerical Data
Activity 4.2 Airline Passenger Weights
Activity 4.3 Boxplot Shapes
Graphing Calculator Explorations
5 Summarizing Bivariate Data
Correlation
Linear Regression: fitting a Line to Bivariate Data
Assessing the Fit of a Line
Nonlinear Relationships and Transformations
Logistic Regression (Optional)
Communicating and Interpreting the Results of Statistical Analyses
Activity 5.1 Exploring Correlation and Regression Technology Activity (Applets)
Activity 5.2 Age and Flexibility
Graphing calculator Explorations
6 Probability
Chance Experiments and Events
Definition of Probability
Basic Properties of Probability
Conditional Probability
Independence
Some General Probability Rules
Estimating Probabilities Empirically and Using Simulation
Activity 6.1 Kisses
Activity 6.2 A Crisis for European Sports Fans?
Activity 6.3 The "Hot Hand" in Basketball
Graphing Calculator Explorations
7 Random Variables And Probability Distributions
Random Variables
Probability Distributions for Discrete Random Variables
Probability Distributions for continuous Random Variables
Mean and Standard Deviation of a Random Variable
The Binomial and Geometric Distributions
Normal Distributions
Checking for Normality and Normalizing Transformations
Using the Normal Distribution to Approximate a Discrete Distribution
Activity 7.1 Rotten Eggs
Graphing Calculator Explorations
8 Sampling Variability And Sampling Distributions
Statistics and Sampling Variability
The Sampling Distribution of a Sample Mean
The Sampling distribution of a Sample Proportion
Activity 8.1 Do Students Who Take the SAT Multiple Times Have an Advantage in College Admissions?
Graphing Calculator Explorations
9 Estimation Using A Single Sample
Point Estimates
Large-Sample Confidence Interval for a Population Proportion
Confidence Interval for a Population Mean
Communicating and Interpreting the Results of Statistical Analyses
Activity 9.1 Getting a Feel for Confidence Level
Activity 9.2 An Alternative Confidence Interval for a Population Proportion
Graphing Calculator Explorations
10 Hypothesis Testing Using A Single Sample
Hypotheses and Test Procedures
Errors in Hypothesis Testing
Large-Sample Hypothesis Tests for a Population Proportion
Hypothesis Tests for a Population Mean
Power and the Probability of Type II Error
Communicating and Interpreting the Results of Statistical Analyses
Activity 10.1 Comparing the t and z Distributions
Graphing Calculator Explorations
11 Comparing Two Populations Or Treatments
Inferences Concerning the Difference Between Two Population or Treatment Means using Independent Samples
Inferences Concerning the Difference Between Two Population or Treatment Means using Paired Samples
Large-Sample Inferences Concerning a Difference Between Two Population or Treatment Proportions
Communicating and Interpreting the Results of Statistical Analyses
Activity 11.1 Helium-Filled Footballs?
Activity 11.2 Thinking About Data Collection
Graphing Calculator Explorations
12 The Analysis Of Categorical Data And Goodness-Of-Fit Tests
Chi-Square Tests for Univariate Categorical Data
Tests for Homogeneity and Independence in a Two-Way Table
Communicating and Interpreting the Results of Statistical Analyses
Activity 12.1 Pick a Number, Any Number
Activity 12.2 Color and Perceived Taste
Graphing Calculator Explorations
13 Simple Linear Regression And Correlation: Inferential Methods
The Simple Linear Regression Model
Inferences About the Slope of the Population Regression Line
Checking Model Adequacy
Inferences Based on the Estimated Regression Line (Optional)
Inferences About the Population Correlation Coefficient (Optional)
Communicating and Interpreting the Results of Statistical Analyses
Activity 13.1 Are Tall Women from "Big" Families? Graphing Calculator Explorations
14 Multiple Regression Analysis
Multiple Regression Models
Fitting a Model and Assessing Its Utility
Inferences Based on an Estimated Model (Online)
Variable Selection and Other Issues in Multiple Regression (Online)
Communicating and Interpreting the Results of Statistical Analyses (Online)
Activity 14.1 Exploring the Relationship Between Number of Predictors and Sample Size
15 Analysis Of Variance
Single-Factor ANOVA and the F Test
Multiple Comparisons
The F Test for a Randomized Block Experiment (Online)
Two-Factor ANOVA (Online)
Communicating and Interpreting the Results of Statistical Analysis (Online)
Activity 15.1 Exploring Single-Factor ANOVA
Appendix: ANOVA computations (Online)
Graphing Calculator Exploration
16 Nonparametric Statistical Methods (Online)
Distribution-Free Procedures for Inferences about a Difference Between Two Population or Treatment Means Using Independent Samples (Online)
Distribution-Free Procedures for Inferences Concerning a Difference
Between Two Population Means Using Paired Samples (Online)
Distribution-Free ANOVA (Online)
Appendix: Statistical Tables
Answers to Selected odd-Numbered Exercises
Index