Covers material typically presented in an intermediate statistics course at the undergraduate level and a first course in applied statistics at the graduate level. Topics include basic statistical inference, regression, and ANOVA. Advanced topics include non-parametric statistics, logistic regression, and goodness-of-fit tests.
Chapter 1
Introduction
What is Statistics?
What This Book Is About
Summary Tables and Graphical Displays
Descriptive Representations of Data
Inferential Statistics
Populations
Different Ways to Collect Data
Types of Variables
Scales of Variables
Types of Analyses
Entering Data into Minitab
Best Practices
Chapter 2
Graphs and Charts
Introduction
Frequency Distributions and Histograms
Using Minitab to Create Histograms
Stem-and-Leaf Plots
Using Minitab to Create Stem-and-Leaf Plots
Bar Charts
Using Minitab to Create a Bar Chart
Boxplots
Using Minitab to Create Boxplots
Scatter Plots
Using Minitab to Create Scatter Plots
Marginal Plots
Using Minitab to Create Marginal Plots
Matrix Plots
Using Minitab to Create a Matrix Plot
Best Practices
Chapter 3
Descriptive Representations of Data and Random Variables
Introduction
Descriptive Statistics
Measures of Central Tendency
Measures of Variability
Using Minitab to Calculate Descriptive Statistics
More on Statistical Inference
Discrete Random Variables
Sampling Distributions
Continuous Random Variables
The Standard Normal Distribution
Non-Standard Normal Distributions
Other Discrete and Continuous Probability Distributions
The Binomial Distribution
The Poisson Distribution
The t-Distribution
The Chi-Square Distribution
The F-Distribution
Using MINTIAB to Graph Probability Distributions
Chapter 4
Statistical Inference for One Sample
Introduction
Confidence Intervals
Using Minitab to Calculate Confidence Intervals for a Population Mean
Hypothesis Testing: A One-Sample t-Test for a Population Mean
Using Minitab for a One-Sample t-Test
Power Analysis for a One-Sample t-Test
Using Minitab for a Power Analysis for a One-Sample t-Test
Confidence Intervals and Hypothesis Tests for One Proportion
Using Minitab for a One-Sample Proportion
Power Analysis for a One-Sample Proportion
Confidence Intervals and Hypothesis Tests for One-Sample Variance
Confidence Intervals for One-Sample Variance
Hypothesis Tests for One-Sample Variance
Using Minitab for One-Sample Variance
Power Analysis for One-Sample Variance
Confidence Intervals for One-Sample Count Data
Using Minitab to Calculate Confidence Intervals for a One-Sample Count Variable
Hypothesis Test for a One-Sample Sample Count Variable
Using Minitab to Conduct a Hypothesis Test for a One-Sample Count Variable
Using Minitab for a Power Analysis for a One-Sample Poisson
A Note About One- and Two-Tailed Hypothesis Tests
Chapter 5
Statistical Inference for Two-Samples
Introduction
Confidence Interval for the Difference between Two Means
Using Minitab to Calculate a Confidence Interval for the Difference between Two Means
Hypothesis Tests for the Difference between Two Means
Using Minitab to Test the Difference between Two Means
Using Minitab to Create an Interval Plot
Using Minitab for a Power Analysis for a Two-Sample t-Test
Paired Confidence Interval and t-Test
Using Minitab for a Paired Confidence Interval and t-Test
Differences Between Two Proportions
Using Minitab for Two-Sample Proportion Confidence Intervals and Hypothesis Tests
Power Analysis for a Two-Sample Proportion
Confidence Intervals and Hypothesis Tests for Two Variances
Using Minitab for Testing Two Sample Variances
Power Analysis for a Two-Sample Variances
Confidence Intervals and Hypothesis Tests for Two Count Variables
Using Minitab for a Two-Sample Poisson
Power Analysis for a -Sample Poisson Rate
Best Practices
Chapter 6
Simple Linear Regression
Introduction
The Simple Linear Regression Model
Model Assumptions for Simple Linear Regression
Finding the Equation of the Line of Best Fit
Using Minitab for Simple Linear Regression
Standard Errors for Estimated Regression Parameters
Inferences about the Population Regression Parameters
Using Minitab to Test the Population Slope Parameter
Confidence Intervals for the Mean Response for a Specific Value of the Predictor Variable
Prediction Intervals for a Response for a Specific Value of the Predictor Variable
Using Minitab to Find Confidence and Prediction Intervals
Chapter 7
More on Simple Linear Regression
Introduction
The Coefficient of Determination
Using Minitab to Find the Coefficient of Determination
The Coefficient of Correlation
Correlation Inference
Using Minitab for Correlation Analysis
Assessing Linear Regression Model Assumptions
Using Minitab to Create Exploratory Plots of Residuals
A Formal Test of the Normality Assumption
Using Minitab for the Ryan-Joiner Test
Assessing Outliers
Assessing Outliers: Leverage Values
Using Minitab to Calculate Leverage Values
Assessing Outliers: Standardized Residuals
Using Minitab to Calculate Standardized Residuals
Assessing Outliers: Cook's Distances
Using Minitab to Find Cook's Distances
How to Deal with Outliers
Chapter 8
Multiple Regression Analysis
Introduction
Basics of Multiple Regression Analysis
Using Minitab to Create Matrix Plots
Using Minitab for Multiple Regression
The Coefficient of Determination for Multiple Regression
Analysis of Variance Table
Testing Individual Population Regression Parameters
Using Minitab to Test Individual Regression Parameters
Multicollinearity
Variance Inflation Factors
Using Minitab to Calculate Variance Inflation Factors
Multiple Regression Model Assumptions
Using Minitab to Check Multiple Regression Model Assumptions
Chapter 9
More on Multiple Regression
Introduction
Using Categorical Predictor Variables
Using Minitab for Categorical Predictor Variables
Adjusted
Best Subsets Regression
Using Minitab for Best Subsets Regression
Confidence and Prediction Intervals for Multiple Regression
Using Minitab to Calculate Confidence and Prediction Intervals for a Multiple Regression Analysis
Assessing Outliers
Chapter 10
Analysis of Variance (ANOVA)
Introduction
Basic Experimental Design
One-Way ANOVA
One-Way ANOVA Model Assumptions
Assumption of Constant Variance
Normality Assumption
Using Minitab for One-Way ANOVAs
Multiple Comparison Techniques
Using Minitab for Multiple Comparisons
Power Analysis and One-Way ANOVA
Chapter 11
Nonparametric Statistics
Introduction
Wilcoxon Signed-Rank Test
Using Minitab for the Wilcoxon Signed-Rank Test
The Mann-Whitney Test
Using Minitab for the Mann-Whitney Test
Kruskal-Wallis Test
Using Minitab for the Kruskal-Wallis Test
Chapter 12
Two Way Analysis of Variance and Basic Time Series
Two-Way Analysis of Variance
Using Minitab for a Two-Way ANOVA
Basic Time Series Analysis