Minitab for Statistical Data Analysis Training Course

Chapter 1: Descriptive Statistics and Visual Data Analysis

Introduction

1. Learning Objectives
2. Types of Data

Fundamental Concepts

1. Data Classifications
2. Quiz: Data Types

Visualizing Data with Graphs

1. Core Principles
2. Bar Charts and Pareto Charts
3. Pie Charts
4. Histograms
5. Dotplots
6. Individual Value Plots
7. Boxplots
8. Time Series Plots
9. Quiz: Visual Data Analysis
10. Minitab Tools: Bar Chart
11. Minitab Tools: Pie Chart
12. Minitab Tools: Histogram
13. Minitab Tools: Dotplot
14. Minitab Tools: Individual Value Plot
15. Minitab Tools: Boxplot
16. Minitab Tools: Times Series Plot
17. Exercise: Visual Analysis

Statistical Methods for Data Analysis

1. Core Principles
2. Mean and Median
3. Range, Variance, and Standard Deviation
4. Quiz: Statistical Data Analysis
5. Minitab Tools: Display Descriptive Statistics
6. Exercise: Descriptive Statistics

Summary and Review of Objectives

Chapter 2: Statistical Inference

2.1 Introduction

2.1.1 Learning Objectives
2.2 Foundations of Statistical Inference
2.2.1 Core Concepts
2.2.2 Random Sampling
2.2.3 Quiz: Inference Foundations
2.2.4 Minitab Tools: Random Sampling

2.3 Sampling Distributions

2.3.1 Core Concepts
2.3.2 Distribution of the Sample Mean
2.3.3 Quiz: Sampling Distributions

2.4 The Normal Distribution

2.4.1 Core Concepts
2.4.2 Normal Distribution Probabilities
2.4.3 Probabilities of the Sample Mean
2.4.4 Quiz: Normal Distribution
2.4.5 Minitab Tools: Cumulative Probabilities (Normal)
2.4.6 Exercise: Probabilities and Normal Distributions

2.5 Summary

2.5.1 Review of Objectives

Chapter 3: Hypothesis Testing and Confidence Intervals

3.1 Introduction

3.1.1 Learning Objectives

3.2 Hypothesis Tests and Confidence Intervals

3.2.1 Confidence Intervals
3.2.2 Principles of Hypothesis Testing
3.2.3 Decision-Making via Hypothesis Tests
3.2.4 Type I/II Errors and Statistical Power
3.2.5 Quiz: Tests and Intervals

3.3 One-Sample t-Test

3.3.1 Core Concepts
3.3.2 Individual Value Plots
3.3.3 1-Sample t-Test Outcomes
3.3.4 Underlying Assumptions
3.3.5 Quiz: 1-Sample t-Test
3.3.6 Minitab Tools: 1-Sample t-Test
3.3.7 Exercise: 1-Sample t-Test

3.4 Two-Variance Test

3.4.1 Core Concepts
3.4.2 Boxplots
3.4.3 2 Variances Test Outcomes 3.4.4 Underlying Assumptions
3.4.5 Quiz: 2 Variances Test
3.4.6 Minitab Tools: 2 Variances Test
3.4.7 Exercise: 2 Variances Test

3.5 Two-Sample t-Test

3.5.1 Core Concepts
3.5.2 Individual Value Plot
3.5.3 2-Sample t-Test Outcomes
3.5.4 Underlying Assumptions
3.5.5 Quiz: 2-Sample t-Test
3.5.6 Minitab Tools: 2-Sample t-Test
3.5.7 Exercise: 2-Sample t-Test

3.6 Paired t-Test

3.6.1 Core Concepts
3.6.2 Individual Value Plots
3.6.3 Paired t-Test Outcomes
3.6.4 Underlying Assumptions
3.6.5 Quiz: Paired t-Test
3.6.6 Minitab Tools: Paired t-Test
3.6.7 Exercise: Paired t-Test

3.7 One Proportion Test

3.7.1 Core Concepts
3.7.2 1 Proportion Test Outcomes
3.7.3 Underlying Assumptions
3.7.4 Quiz: 1 Proportion Test
3.7.5 Minitab Tools: 1 Proportion Test
3.7.6 Exercise: 1 Proportion Test

3.8 Two Proportions Test

3.8.1 Core Concepts
3.8.2 2 Proportions Test Outcomes
3.8.3 Underlying Assumptions
3.8.4 Quiz: 2 Proportions Test
3.8.5 Minitab Tools: 2 Proportions Test
3.8.6 Exercise: 2 Proportions Test

3.9 Chi-Square Test

3.9.1 Core Concepts
3.9.2 Chi-Square Test Outcomes
3.9.3 Underlying Assumptions
3.9.4 Quiz: Chi-Square Test
3.9.5 Minitab Tools: Chi-Square Test
3.9.6 Exercise: Chi-Square Test

3.10 Summary

3.10.1 Review of Objectives

Chapter 4: Control Charts

4.1 Introduction

4.1.1 Learning Objectives

4.2 Statistical Process Control (SPC)

4.2.1 Core Concepts
4.2.2 Patterns in Control Charts
4.2.3 Quiz: SPC

4.3 Control Charts for Subgrouped Variable Data

4.3.1 Core Concepts
4.3.2 R Charts
4.3.3 S Charts
4.3.4 Xbar Charts
4.3.5 Quiz: Subgrouped Variable Data
4.3.6 Minitab Tools: Xbar-R Chart
4.3.7 Exercise: Xbar-R Chart

4.4 Control Charts for Individual Measurements

4.4.1 Core Concepts
4.4.2 Moving Range Charts
4.4.3 Individuals Charts
4.4.4 Quiz: Individual Measurements
4.4.5 Minitab Tools: I-MR Chart
4.4.6 Exercise: I-MR Chart

4.5 Control Charts for Attribute Data

4.5.1 Core Concepts
4.5.2 NP and P Charts
4.5.3 C and U Charts
4.5.4 Quiz: Attribute Data
4.5.5 Minitab Tools: P Chart
4.5.6 Exercise: P Chart

4.6 Summary and Review of Objectives

Chapter 5: Process Capability

5.1 Introduction

5.1.1 Learning Objectives

5.2 Capability for Normal Data

5.2.1 Core Concepts
5.2.2 Underlying Assumptions
5.2.3 Normality Testing
5.2.4 Quiz: Capability for Normal Data
5.2.5 Minitab Tools: Normality Test
5.2.6 Exercise: Capability Assumptions

5.3 Capability Indices

5.3.1 Potential Capability: Cp and Cpk
5.3.2 Process Performance: Pp and Ppk
5.3.3 Sigma Level
5.3.4 Quiz: Capability Indices
5.3.5 Minitab Tools: Cp and Pp
5.3.6 Minitab Tools: Sigma Level
5.3.7 Exercise: Capability for Normal Data

5.4 Capability for Non-Normal Data

5.4.1 Transformations and Alternative Distributions
5.4.2 Box-Cox Transformation
5.4.3 Johnson Transformation
5.4.4 Alternative Distributions
5.4.5 Quiz: Capability for Nonormal Data
5.4.6 Minitab Tools: Box-Cox Transformation
5.4.7 Minitab Tools: Johnson Transformation
5.4.8 Minitab Tools: Capability Analysis (Johnson)
5.4.9 Minitab Tools: Alternative Distributions
5.4.10 Minitab Tools: Capability Analysis (Alternate)
5.4.11 Exercise: Capability with Transformations
5.4.12 Exercise: Capability with Alternate Distributions

5.5 Summary

5.5.1 Review of Objectives

Chapter 6: Analysis of Variance (ANOVA)

6.1 Introduction and Learning Objectives

6.2 ANOVA Fundamentals

6.2.1 Core Concepts
6.2.2 Visualizations and Summary Stats
6.2.3 Quiz: ANOVA Fundamentals

6.3 One-Way ANOVA

6.3.1 Hypothesis Testing
6.3.2 F-Statistics and P-Values
6.3.3 Multiple Comparisons
6.3.4 Assumptions and Residual Plots
6.3.5 Quiz: One-Way ANOVA
6.3.6 Minitab Tools: One-Way ANOVA
6.3.7 Exercise: One-Way ANOVA

6.4 Two-Way ANOVA

6.4.1 Core Concepts
6.4.2 Visualizations
6.4.3 Hypothesis Testing
6.4.4 F-Statistics and P-Values
6.4.5 Assumptions and Residual Plots
6.4.6 Quiz: Two-Way ANOVA
6.4.7 Minitab Tools: Two-Way ANOVA
6.4.8 Exercise: Two-Way ANOVA

6.5 Summary

Chapter 7: Correlation and Regression

7.1 Introduction

7.1.1 Learning Objectives

7.2 Relating Two Quantitative Variables

7.2.1 Core Concepts
7.2.2 Scatterplots
7.2.3 Correlation Analysis
7.2.4 Quiz: Variable Relationships
7.2.5 Minitab Tools: Scatterplot
7.2.6 Minitab Tools: Correlation
7.2.7 Exercise: Scatterplots and Correlation

7.3 Simple Linear Regression

7.3.1 Core Concepts
7.3.2 Regression Modeling
7.3.3 Hypothesis Tests and R-squared
7.3.4 Assumptions and Residual Plots
7.3.5 Quiz: Simple Regression
7.3.6 Minitab Tools: Simple Regression
7.3.7 Exercise: Simple Regression

7.4 Summary and Review of Objectives

Chapter 8: Measurement Systems Analysis

8.1 Introduction

8.1.1 Learning Objectives

8.2 MSA Fundamentals

8.2.1 Core Concepts
8.2.2 Accuracy
8.2.3 Precision
8.2.4 Accuracy vs. Precision
8.2.5 Quiz: MSA Fundamentals

8.3 Repeatability and Reproducibility

8.3.1 Core Concepts
8.3.2 Gage R&R Studies
8.3.3 Quiz: Repeatability and Reproducibility

8.4 Visual Analysis of Gage R&R

8.4.1 Core Concepts
8.4.2 Variation Components
8.4.3 Xbar and R Charts
8.4.4 Operator-Part Interaction
8.4.5 Comparative Plots
8.4.6 Gage Run Charts
8.4.7 Quiz: Visual Gage R&R
8.4.8 Minitab Tools: Crossed Gage R&R
8.4.9 Minitab Tools: Gage Run Chart
8.4.10 Exercise: Visual Gage R&R

8.5 Variation Analysis

8.5.1 Standard Deviation and Study Variation
8.5.2 Tolerance
8.5.3 Process Variation 
8.5.4 Quiz: Variation
8.5.5 Exercise: Numerical Gage R&R

8.6 ANOVA for Gage R&R

8.6.1 Variance Components
8.6.2 ANOVA Tables
8.6.3 Quiz: ANOVA in Gage R&R
8.6.4 Exercise: ANOVA Output for Gage R&R

8.7 Gage Linearity and Bias

8.7.1 Core Concepts
8.7.2 Gage Linearity
8.7.3 Gage Bias
8.7.4 Quiz: Linearity and Bias
8.7.5 Minitab Tools: Linearity and Bias
8.7.6 Exercise: Linearity and Bias

8.8 Attribute Agreement Analysis

8.8.1 Core Concepts
8.8.2 Binary Data
8.8.3 Nominal Data
8.8.4 Ordinal Data
8.8.5 Quiz: Attribute Agreement
8.8.6 Minitab Tools: Agreement (Binary)
8.8.7 Minitab Tools: Agreement (Nominal)
8.8.8 Minitab Tools: Agreement (Ordinal)
8.8.9 Exercise: Attribute Agreement

8.9 Summary

8.9.1 Review of Objectives

Chapter 9: Design of Experiments

9.1 Introduction and Learning Objectives

9.2 Factorial Designs

9.2.1 Core Concepts
9.2.2 Constructing Full Factorial Designs
9.2.3 Analyzing Full Factorial Designs
9.2.4 Quiz: Factorial Designs
9.2.5 Minitab Tools: Create Full Factorial
9.2.6 Minitab Tools: Analyze Full Factorial
9.2.7 Exercise: Create Full Factorial
9.2.8 Exercise: Analyze Full Factorial

9.3 Blocking and Center Points

9.3.1 Blocking
9.3.2 Center Points
9.3.3 Analyzing Designs with Blocks/Center Points
9.3.4 Quiz: Blocking and Center Points
9.3.5 Minitab Tools: Create Design (Blocks/CP)
9.3.6 Minitab Tools: Analyze Design (Blocks/CP)
9.3.7 Exercise: Create Design (Blocks/CP)
9.3.8 Exercise: Analyze Design (Blocks/CP)

9.4 Fractional Factorial Designs

9.4.1 Core Concepts
9.4.2 Constructing Fractional Designs
9.4.3 Analyzing Fractional Designs
9.4.4 Quiz: Fractional Designs
9.4.5 Minitab Tools: Create Fractional
9.4.6 Minitab Tools: Analyze Fractional

9.5 Response Optimization

9.5.1 Response Optimization
9.5.2 Quiz: Response Optimization
9.5.3 Minitab Tools: Response Optimization
9.5.4 Exercise: Response Optimization

9.6 Summary and Review of Objectives