Statistics, Data, and Statistical Thinking | |
The Science of Statistics | |
Types of Statistical Applications | |
Fundamental Elements of Statistics | |
Types of Data | |
Collecting Data | |
The Role of Statistics in Critical Thinking | |
Statistics in Action: USA Weekend | |
Teen Surveys - Are Boys Really from Mars and Girls from Venus? | |
Using Technology: Creating and Listing Data in MINITAB | |
Methods for Describing Sets of Data | |
Describing Qualitative Data | |
Graphical Methods for Describing Quantitative Data | |
Summation Notation | |
Numerical Measures of Central Tendency | |
Numerical Measures of Variability | |
Interpreting the Standard Deviation | |
Numerical Measures of Relative Standing | |
Methods for Detecting Outliers (Optional) | |
Graphing Bivariate Relationships (Optional) | |
Distorting the Truth with Descriptive Techniques | |
Statistics In Action: The "Eye Cue" Test: Does Experience Improve Performance? | |
Using Technology: Describing Data in MINITAB | |
Probability | |
Events, Sample Spaces, and Probability | |
Unions and Intersections | |
Complementary Events | |
The Additive Rule and Mutually Exclusive Events | |
Conditional Probability | |
The Multiplicative Rule and Independent Events | |
Random Sampling | |
Some Counting Rules (Optional) | |
Bayes' Rule (Optional) | |
Statistics In Action: Lotto Buster! - Can You Improve Your Chances of Winning the Lottery? | |
Using Technology: Generating a Random Sample in MINITAB | |
Discrete Random Variables | |
Two Types of Random Variables | |
Probability Distributions for Discrete Random Variables | |
Expected Values of Discrete Random Variables | |
The Binomial Random Variable | |
The Poisson Random Variable (Optional) | |
The Hypergeometric Random Variable (Optional) | |
Statistics in Action: Probability in a Reverse Cocaine Sting - Was Cocaine Really Sold? | |
Using Technology: Binomial, Poisson, and Hypergeometric Probabilities in MINITAB | |
Continuous Random Variables | |
Continuous Probability Distributions | |
The Uniform Distribution | |
The Normal Distribution | |
Descriptive Methods for Assessing Normality | |
Approximating a Binomial Distribution with a Normal Distribution (Optional) | |
The Exponential Distribution (Optional) | |
Statistics in Action: Super Weapons Development - Is the Hit Ratio Optimized? | |
Using Technology: Normal Probability Plots in MINITAB | |
Sampling Distributions | |
What is a Sampling Distribution? | |
Properties of Sampling Distributions: Unbiasedness and Minimum Variance (Optional) | |
The Central Limit Theorem | |
Statistics in Action: The Insomnia Pill - Will It Take Less Time to Fall Asleep? | |
Using Technology: Simulating a Sampling Distribution in MINITAB | |
Inferences Based on a Single Sample: Estimation with Confidence Intervals | |
Identifying the Target Parameter | |
Large-Sample Confidence Interval for a Population Mean | |
Small-Sample Confidence Interval for a Population Mean | |
Large-Sample Confidence Interval for a Population Proportion | |
Determining the Sample Size | |
Statistics in Action: Speed-Can a High School Football Player Improve His Sprint Time? | |
Using Technology: Confidence Intervals in MINITAB | |
Inferences Based on a Single Sample: Tests of Hypothesis | |
The Elements of a Test of Hypothesis | |
Large-Sample Test of Hypothesis About a Population Mean | |
Observed Significance Levels: p-Values | |
Small-Sample Test of Hypothesis About a Population Mean | |
Large-Sample Test of Hypothesis About a Population Proportion | |
Calculating Type II Error Probabilities: More About ß (Optional) | |
Test of Hypothesis About a Population Variance (Optional) | |
Statistics in Action: Diary of a Kleenex User | |
How Many Tissues in a Box? | |
Using Technology: Tests of Hypothesis in MINITAB | |
Inferences Based on a Two Samples: Confidence Intervals and Tests of Hypotheses | |
Identifying the Target Parameter | |
Comparing Two Population Means: Independent Sampling | |
Comparing Two Population Means: Paired Difference Experiments | |
Comparing Two Population Proportions: Independent Sampling | |
Determining the Sample Size | |
Comparing Two Population Variances: Independent Sampling (Optional) | |
Statistics in Action: Do Homework Assignments Designed to Involve Family Members Really Work? | |
Using Technology: Two-Sample Inferences in MINITAB | |
Analysis of Variance: Comparing More Than Two Means | |
Elements of a Designed Experiment | |
The Completely Randomized Design | |
Multiple Comparisons of Means | |
The Randomized Block Design | |
Factorial Experiments | |
Statistics in Action: On the Trail of the Cockroach: Do Roaches Travel at Random? | |
Using Technology: Analysis of Variance in MINITAB | |
Simple Linear Regression | |
Probabilistic Models | |
Fitting the Model: The Least Squares Approach | |
Model Assumptions | |
Assessing the Utility of the Model: Making Inferences About the Slope ß_{1} | |
The Coefficients of Correlation and Determination | |
Using the Model for Estimation and Prediction | |
A Complete Example | |
Statistics in Action: Can "Dowsers" Really Detect Water? | |
Using Technology: Simple Linear Regression in MINITAB | |
Multiple Regression and Model Building | |
Multiple Regression Models | |
The First-Order Model: Inferences About the Individual ß-Parameters | |
Evaluating the Overall Utility of a Model | |
Using the Model for Estimation and Prediction | |
Model Building: Interaction Models | |
Model Building: Quadratic and other Higher-Order Models | |
Model Building: Qualitative (Dummy) Variable Models | |
Model Building: Models with both Quantitative and Qualitative Variables | |
Model Building: Comparing Nested Models (Optional) | |
Model Building: Stepwise Regression (Optional) | |
Residual Analysis: Checking the Regression Assumptions | |
Some Pitfalls: Estimability, Multicollinearity, and Extrapolation | |
Statistics in Action: Modeling Condo Sales: Are There Differences in Auction Prices? | |
Using Technology: Multiple Regression in MINITAB | |
Categorical Data Analysis | |
Categorical Data and the Multinomial Distribution | |
Testing Categorical Probabilities: One-Way Table | |
Testing Categorical Probabilities: Two-Way (Contingency) Table | |
A Word of Caution About Chi-Square Tests | |
Statistics in Action: College Students and Alcohol | |
Is Drinking Frequency Related to Amount? | |
Using Technology: Chi-Square Analyses in MINITAB | |
Nonparametric Statistics | |
Introduction: Distribution-Free Tests | |
Single Population Inferences | |
Comparing Two Populations: Independent Samples | |
Comparing Two Populations: Paired Difference Experiment | |
Comparing Three or More Populations: Completely Randomized Design | |
Comparing Three or More Populations: Randomized Block Design | |
Rank Correlation | |
Statistics in Action: How Vulnerable are Wells to Groundwater Contamination? | |
Using Technology: Nonparametric Analyses in MINITAB | |
Tables | |
Binomial Probabilities | |
Poisson Probabilities | |
Normal Curve Areas | |
Exponentials | |
Critical Values of t | |
Critical Values of ¿^{2} | |
Percentage Points of the F Distribution, ¿= | p. 10 |
Percentage Points of the F Distribution, ¿= | p. 05 |
Percentage Points of the F Distribution, ¿= | p. 025 |
Percentage Points of the F Distribution, ¿= | p. 01 |
Critical Values of T_{L} and T_{U} for the Wilcoxon Rank Sum Test | |
Critical Values of T_{0} in the Wilcoxon Signed Rank Test | |
Critical Values of Spearman's Rank Correlation Coefficient | |
Calculation Formulas for Analysis of Variance | |
Short Answers to Selected Odd-Numbered Exercises | |
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