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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 & 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 System 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