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 Duration 14 hours

Course Outline

Chapter 1: Descriptive Statistics and Graphical Analysis

Introduction

  1. Learning Objectives
  2. Types of Data

Basic Concepts

  1. Data Types
  2. Quiz: Types of Data

Analyzing Data Through Graphical Representations

  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: Graphical 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: Graphical Analysis

Analyzing Data Using Statistical Measures

  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 Objectives Review

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: Foundations of Statistical Inference
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 Probabilities Within a Normal Distribution
2.4.3 Probabilities for the Sample Mean
2.4.4 Quiz: Normal Distribution
2.4.5 Minitab Tools: Cumulative Probabilities for Normal Distribution
2.4.6 Exercise: Probabilities and Normal Distributions

2.5 Summary

2.5.1 Objectives Review

Chapter 3: Hypothesis Testing and Confidence Intervals

3.1 Introduction

3.1.1 Learning Objectives

3.2 Testing and Confidence Intervals

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

3.3 One-Sample t-Test

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

3.4 Two Variances Test

3.4.1 Core Concepts
3.4.2 Boxplots
3.4.3 Two Variances Test Results 3.4.4 Assumptions
3.4.5 Quiz: Two Variances Test
3.4.6 Minitab Tools: Two Variances Test
3.4.7 Exercise: Two Variances Test

3.5 Two-Sample t-Test

3.5.1 Core Concepts
3.5.2 Individual Value Plot
3.5.3 Two-Sample t-Test Results
3.5.4 Assumptions
3.5.5 Quiz: Two-Sample t-Test
3.5.6 Minitab Tools: Two-Sample t-Test
3.5.7 Exercise: Two-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 Results
3.6.4 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 One Proportion Test Results
3.7.3 Assumptions
3.7.4 Quiz: One Proportion Test
3.7.5 Minitab Tools: One Proportion Test
3.7.6 Exercise: One Proportion Test

3.8 Two Proportions Test

3.8.1 Core Concepts
3.8.2 Two Proportions Test Results
3.8.3 Assumptions
3.8.4 Quiz: Two Proportions Test
3.8.5 Minitab Tools: Two Proportions Test
3.8.6 Exercise: Two Proportions Test

3.9 Chi-Square Test

3.9.1 Core Concepts
3.9.2 Chi-Square Test Results
3.9.3 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 Objectives Review

Chapter 4: Control Charts

4.1 Introduction

4.1.1 Learning Objectives

4.2 Statistical Process Control

4.2.1 Core Concepts
4.2.2 Patterns in Control Charts
4.2.3 Quiz: Statistical Process Control

4.3 Control Charts for Variable Data in Subgroups

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

4.4 Control Charts for Individual Observations

4.4.1 Core Concepts
4.4.2 Moving Range Charts
4.4.3 Individuals Charts
4.4.4 Quiz: Control Charts for Individual Observations
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: Control Charts for Attribute Data
4.5.5 Minitab Tools: P Chart
4.5.6 Exercise: P Chart

4.6 Summary and Objectives Review

Chapter 5: Process Capability

5.1 Introduction

5.1.1 Learning Objectives

5.2 Process Capability for Normal Data

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

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: Process Capability for Normal Data

5.4 Process Capability for Non-Normal Data

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

5.5 Summary

5.5.1 Objectives Review

Chapter 6: Analysis of Variance (ANOVA)

6.1 Introduction and Learning Objectives

6.2 ANOVA Fundamentals

6.2.1 Core Concepts
6.2.2 Graphs and Summary Statistics
6.2.3 Quiz: ANOVA Fundamentals

6.3 One-Way ANOVA

6.3.1 Hypothesis Tests
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 Graphs
6.4.3 Hypothesis Tests
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 Relationships Between Two Quantitative Variables

7.2.1 Core Concepts
7.2.2 Scatterplots
7.2.3 Correlation
7.2.4 Quiz: Relationships Between Quantitative Variables
7.2.5 Minitab Tools: Scatterplot
7.2.6 Minitab Tools: Correlation
7.2.7 Exercise: Scatterplots and Correlation

7.3 Simple Regression

7.3.1 Core Concepts
7.3.2 Regression Analysis
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 Objectives Review

Chapter 8: Measurement Systems Analysis

8.1 Introduction

8.1.1 Learning Objectives

8.2 Fundamentals of Measurement Systems Analysis

8.2.1 Core Concepts
8.2.2 Accuracy
8.2.3 Precision
8.2.4 Comparing Accuracy and Precision
8.2.5 Quiz: Fundamentals of Measurement Systems Analysis

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 Graphical Analysis of Gage R&R Studies

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

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 Analysis of Gage R&R Studies

8.6 ANOVA for Gage R&R Studies

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

8.7 Gage Linearity and Bias Studies

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

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 Analysis
8.8.6 Minitab Tools: Attribute Agreement Analysis with Binary Data
8.8.7 Minitab Tools: Attribute Agreement Analysis with Nominal Data
8.8.8 Minitab Tools: Attribute Agreement Analysis with Ordinal Data
8.8.9 Exercise: Attribute Agreement Analysis

8.9 Summary

8.9.1 Objectives Review

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 a Full Factorial Design
9.2.6 Minitab Tools: Analyze a Full Factorial Design
9.2.7 Exercise: Create a Full Factorial Design
9.2.8 Exercise: Analyze a Full Factorial Design

9.3 Blocking and Center Points

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

9.4 Fractional Factorial Designs

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

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 Objectives Review

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Applicants should possess a foundational understanding of Excel and basic statistical principles.

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