Chapter 1: Descriptive Statistics and Graphical Analysis

Introduction

Lesson: Learning Objectives

Types of Data

Lessons: Basic Concepts; Data Types

Quiz: Types of Data

Using Graphs to Analyze Data

Lessons: Basic Concepts; Bar Charts and Pareto Charts; Pie Charts; Histograms; Dotplots; Individual Value Plots; Boxplots; Time Series Plots

Minitab Tools: Bar Chart; Pie Chart; Histogram; Dotplot; Individual Value Plot; Boxplot; Time Series Plot

Exercise: Graphical Analysis

Quiz: Using Graphs to Analyze Data

Using Statistics to Analyze Data

Lessons: Basic Concepts; Mean and Median; Range, Variance, and Standard Variation

Minitab Tools: Display Descriptive Statistics

Exercise: Descriptive Statistics

Quiz: Using Statistics to Analyze Data

Summary

Lesson: Objectives Review

Chapter 2: Statistical Inference

Introduction

Lesson: Learning Objectives

Fundamentals of Statistical Inference

Lessons: Basic Concepts; Random Samples

Minitab Tools: Random Sampling

Quiz: Fundamentals of Statistical Inference

Sampling Distributions

Lessons: Basic Concepts; Sampling Distribution of the Mean

Quiz: Sampling Distributions

Normal Distribution

Lessons: Basic Concepts; Probabilities Associated with a Normal Distribution; Probabilities Associated with the Sample Mean

Minitab Tools: Cumulative Probabilities with a Normal Distribution

Exercise: Probabilities and Normal Distributions

Quiz: Normal Distribution

Summary

Lessons: Objectives Review

Chapter 3: Hypothesis Tests and Confidence Intervals

Introduction

Lesson: Learning Objectives

Tests and Confidence Intervals

Lessons: Confidence Intervals; Hypothesis Testing; Using Hypothesis Tests to Make Decisions; Type I and Type II Errors and Power

Quiz: Tests and Confidence Intervals

1-Sample t-Test

Lessons: Basic Concepts; Individual Value Plots; 1-Sample t-Test Results; Assumptions

Minitab Tools: 1-Sample t-Test

Exercise: 1-Sample t-Test

Quiz: 1-Sample t-Test

2 Variances Test

Lessons: Basic Concepts; Boxplots; 2 Variances Test Results; Assumptions

Minitab Tools: 2 Variances Test

Exercise: 2 Variances Test

Quiz: 2 Variances Test

2-Sample t-Test

Lessons: Basic Concepts; Individual Value Plots; 2-Sample t-Test Results; Assumptions

Minitab Tools: 2-Sample t-Test

Exercise: 2-Sample t-Test

Quiz: 2-Sample t-Test

Paired t-Test

Lessons: Basic Concepts; Individual Value Plots; Paired t-Test Results; Assumptions

Minitab Tools: Paired t-Test

Exercise: Paired t-Test

Quiz: Paired t-Test

1 Proportion Test

Lessons: Basic Concepts; 1 Proportion Test Results; Assumptions

Minitab Tools: 1 Proportion Test

Exercise: 1 Proportion Test

Quiz: 1 Proportion Test

2 Proportions Test

Lessons: Basic Concepts; 2 Proportions Test Results; Assumptions

Minitab Tools: 2 Proportions Test

Exercise: 2 Proportions Test

Quiz: 2 Proportions Test

Chi-Square Test

Lessons: Basic Concepts; Chi-Square Test Results; Assumptions

Minitab Tools: Chi-Square Test

Exercise: Chi-Square Test

Quiz: Chi-Square Test

Summary

Lessons: Objectives Review

Chapter 4: Control Charts

Introduction

Lesson: Learning Objectives

Statistical Process Control

Lessons: Basic Concepts; Patterns in Control Charts

Quiz: Statistical Process Control

Control Charts for Variables Data in Subgroups

Lessons: Basic Concepts; R Charts; S Charts; Xbar Charts

Minitab Tools: Xbar-R Chart

Exercise: Xbar-R Chart

Quiz: Control Charts for Variables Data in Subgroups

Control Charts for Individual Observations

Lessons: Basic Concepts; Moving Range Charts; Individuals Charts

Minitab Tools: I-MR Chart

Exercise: I-MR Chart

Quiz: Control Charts for Individual Observations

Control Charts for Attributes Data

Lessons: Basic Concepts; NP and P Charts; C and U Charts

Minitab Tools: P Chart

Exercise: P Chart

Quiz: Control Charts for Attributes Data

Summary

Lesson: Objectives Review

Chapter 5: Process Capability

Introduction

Lesson: Learning Objectives

Process Capability for Normal Data

Lessons: Basic Concepts; Assumptions; Testing for Normality

Minitab Tools: Normality Test

Exercise: Assumptions for Process Capability

Quiz: Process Capability for Normal Data

Capability Indices

Lessons: Potential Capability: Cp and Cpk; Process Performance: Pp and Ppk; Sigma Level

Minitab Tools: Cp and Pp; Sigma Level

Exercise: Process Capability for Normal Data

Quiz: Capability Indices

Process Capability for Nonnormal Data

Lessons: Transformations and Alternate Distributions; Box-Cox Transformation; Johnson Transformation; Alternate Distributions

Minitab Tools: Box-Cox Transformation; Johnson Transformation; Capability Analysis with Johnson Transformation; Alternate Distributions; Capability Analysis with Alternate Distributions

Exercises: Process Capability with Data Transformations; Process Capability with Alternate Distributions

Quiz: Process Capability for Nonnormal Data

Summary

Lesson: Objectives Review

Chapter 6: Analysis of Variance (ANOVA)

Introduction

Lesson: Learning Objectives

Fundamentals of ANOVA

Lessons: Basic Concepts; Graphs and Summary Statistics

Quiz: Fundamentals of ANOVA

One-Way ANOVA

Lessons: Hypothesis Tests; F-Statistics and P-Values; Multiple Comparisons; Assumptions and Residual Plots

Minitab Tools: One-Way ANOVA

Exercise: One-Way ANOVA

Quiz: One-Way ANOVA

Two-Way ANOVA

Lessons: Basic Concepts; Graphs; Hypothesis Tests; F-Statistics and P-Values; Assumptions and Residual Plots

Minitab Tools: Two-Way ANOVA

Exercise: Two-Way ANOVA

Quiz: Two-Way ANOVA

Summary

Lesson: Summary of ANOVA

Chapter 7: Correlation and Regression

Introduction

Lesson: Learning Objectives

Relationship Between Two Quantitative Variables

Lessons: Basic Concepts; Scatterplot; Correlation

Minitab Tools: Scatterplot; Correlation

Exercise: Scatterplots and Correlation

Quiz: Relationship Between Two Quantitative Variables

Simple Regression

Lessons: Basic Concepts; Regression; Hypothesis Tests and R-squared; Assumptions and Residual Plots

Minitab Tools: Simple Linear Regression

Exercise: Simple Regression

Quiz: Simple Regression

Summary

Lesson: Objectives Review

Chapter 8: Measurement Systems Analysis

Introduction

Lesson: Learning Objectives

Fundamentals of Measurement Systems Analysis

Lessons: Basic Concepts; Accuracy; Precision; Comparing Accuracy and Precision

Quiz: Fundamentals of Measurement Systems Analysis

Repeatability and Reproducibility

Lessons: Basic Concepts; Gage R&R Studies

Quiz: Repeatability and Reproducibility

Graphical Analysis of a Gage R&R Study

Lessons: Basic Concepts; Components of Variation; X-bar and R Charts; Interaction between Operator and Part; Comparative Plots; Gage Run Charts

Minitab Tools: Crossed Gage R&R Study; Gage Run Chart

Exercise: Graphical Analysis of a Gage R&R Study

Quiz: Graphical Analysis of a Gage R&R Study

Variation

Lessons: Standard Deviation and Study Variation; Tolerance; Process Variation

Exercise: Numerical Analysis of a Gage R&R Study

Quiz: Variation

ANOVA with a Gage R&R Study

Lessons: Variance Components; Analysis of Variance Tables

Exercise: ANOVA Output for a Gage R&R Study

Quiz: ANOVA with a Gage R&R Study

Gage Linearity and Bias Study

Lessons: Basic Concepts; Gage Linearity; Gage Bias

Minitab Tools: Gage Linearity and Bias Study

Exercise: Gage Linearity and Bias Study

Quiz: Gage Linearity and Bias Study

Attribute Agreement Analysis

Lessons: Basic Concepts; Binary Data; Nominal Data; Ordinal Data

Minitab Tools: Attribute Agreement Analysis with Binary Data; Attribute Agreement Analysis with Nominal Data; Attribute Agreement Analysis with Ordinal Data

Exercise: Attribute Agreement Analysis

Quiz: Attribute Agreement Analysis

Summary

Lesson: Objectives Review

Chapter 9: Design of Experiments

Introduction

Lesson: Learning Objectives

Factorial Designs

Lessons: Basic Concepts; Creating Full Factorial Designs; Analyzing Full Factorial Designs

Minitab Tools: Create a Full Factorial Design; Analyze a Full Factorial Design

Exercises: Create a Full Factorial Design; Analyze a Full Factorial Design

Quiz: Factorial Designs

Blocking and Incorporating Center Points

Lessons: Blocking; Center Points; Analyzing Designs with Blocks and Center Points

Minitab Tools: Create a Factorial Design with Blocks and Center Points; Analyze a Factorial Design with Blocks and Center Points

Exercises: Create a Factorial Design with Blocks and Center Points; Analyze a Factorial Design with Blocks and Center Points

Quiz: Blocking and Incorporating Center Points

Fractional Factorial Designs

Lessons: Basic Concepts; Creating Fractional Factorial Designs; Analyzing Fractional Factorial Designs

Minitab Tools: Create a Fractional Factorial Design; Analyze a Fractional Factorial Design

Quiz: Fractional Factorial Designs

Response Optimization

Lesson: Response Optimization

Minitab Tools: Response Optimization

Exercise: Response Optimization

Quiz: Response Optimization

Summary

Lesson: Objectives Review