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Course Outline

Chapter 1: Descriptive Statistics and Graphical Analysis

Overview

  1. Learning Outcomes
  2. Data Classifications

Fundamental Concepts

  1. Data Categories
  2. Assessment: Data Categories

Graphical Methods for Data Analysis

  1. Fundamental Concepts
  2. Bar Charts and Pareto Charts
  3. Pie Charts
  4. Histograms
  5. Dotplots
  6. Individual Value Plots
  7. Boxplots
  8. Time Series Plots
  9. Assessment: 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: Time Series Plot
  17. Practical Application: Graphical Analysis

Statistical Methods for Data Analysis

  1. Fundamental Concepts
  2. Mean and Median
  3. Range, Variance, and Standard Deviation
  4. Assessment: Statistical Data Analysis
  5. Minitab Tools: Display Descriptive Statistics
  6. Practical Application: Descriptive Statistics

Chapter Summary and Objectives Review

Chapter 2: Statistical Inference

2.1 Overview

2.1.1 Learning Outcomes
2.2 Principles of Statistical Inference
2.2.1 Fundamental Concepts
2.2.2 Random Sampling
2.2.3 Assessment: Principles of Statistical Inference
2.2.4 Minitab Tools: Random Sampling

2.3 Sampling Distributions

2.3.1 Fundamental Concepts
2.3.2 Sampling Distribution of the Mean
2.3.3 Assessment: Sampling Distributions

2.4 The Normal Distribution

2.4.1 Fundamental Concepts
2.4.2 Probabilities within a Normal Distribution
2.4.3 Probabilities for the Sample Mean
2.4.4 Assessment: Normal Distribution
2.4.5 Minitab Tools: Cumulative Probabilities with a Normal Distribution
2.4.6 Practical Application: Probabilities and Normal Distributions

2.5 Summary

2.5.1 Objectives Review

Chapter 3: Hypothesis Tests and Confidence Intervals

3.1 Overview

3.1.1 Learning Outcomes

3.2 Tests and Confidence Intervals

3.2.1 Confidence Intervals
3.2.2 Hypothesis Testing
3.2.3 Decision-Making Using Hypothesis Testing
3.2.4 Type I and Type II Errors and Statistical Power
3.2.5 Assessment: Tests and Confidence Intervals

3.3 One-Sample t-Test

3.3.1 Fundamental Concepts
3.3.2 Individual Value Plots
3.3.3 One-Sample t-Test Results
3.3.4 Assumptions
3.3.5 Assessment: One-Sample t-Test
3.3.6 Minitab Tools: One-Sample t-Test
3.3.7 Practical Application: One-Sample t-Test

3.4 Test for Variances

3.4.1 Fundamental Concepts
3.4.2 Boxplots
3.4.3 Two Variances Test Results
3.4.4 Assumptions
3.4.5 Assessment: Two Variances Test
3.4.6 Minitab Tools: Two Variances Test
3.4.7 Practical Application: Two Variances Test

3.5 Two-Sample t-Test

3.5.1 Fundamental Concepts
3.5.2 Individual Value Plots
3.5.3 Two-Sample t-Test Results
3.5.4 Assumptions
3.5.5 Assessment: Two-Sample t-Test
3.5.6 Minitab Tools: Two-Sample t-Test
3.5.7 Practical Application: Two-Sample t-Test

3.6 Paired t-Test

3.6.1 Fundamental Concepts
3.6.2 Individual Value Plots
3.6.3 Paired t-Test Results
3.6.4 Assumptions
3.6.5 Assessment: Paired t-Test
3.6.6 Minitab Tools: Paired t-Test
3.6.7 Practical Application: Paired t-Test

3.7 Test for Proportions

3.7.1 Fundamental Concepts
3.7.2 One Proportion Test Results
3.7.3 Assumptions
3.7.4 Assessment: One Proportion Test
3.7.5 Minitab Tools: One Proportion Test
3.7.6 Practical Application: One Proportion Test

3.8 Test for Two Proportions

3.8.1 Fundamental Concepts
3.8.2 Two Proportions Test Results
3.8.3 Assumptions
3.8.4 Assessment: Two Proportions Test
3.8.5 Minitab Tools: Two Proportions Test
3.8.6 Practical Application: Two Proportions Test

3.9 Chi-Square Test

3.9.1 Fundamental Concepts
3.9.2 Chi-Square Test Results
3.9.3 Assumptions
3.9.4 Assessment: Chi-Square Test
3.9.5 Minitab Tools: Chi-Square Test
3.9.6 Practical Application: Chi-Square Test

3.10 Summary

3.10.1 Objectives Review

Chapter 4: Control Charts

4.1 Overview

4.1.1 Learning Outcomes

4.2 Statistical Process Control

4.2.1 Fundamental Concepts
4.2.2 Patterns in Control Charts
4.2.3 Assessment: Statistical Process Control

4.3 Control Charts for Variable Data in Subgroups

4.3.1 Fundamental Concepts
4.3.2 R Charts
4.3.3 S Charts
4.3.4 Xbar Charts
4.3.5 Assessment: Control Charts for Variable Data in Subgroups
4.3.6 Minitab Tools: Xbar-R Chart
4.3.7 Practical Application: Xbar-R Chart

4.4 Control Charts for Individual Observations

4.4.1 Fundamental Concepts
4.4.2 Moving Range Charts
4.4.3 Individuals Charts
4.4.4 Assessment: Control Charts for Individual Observations
4.4.5 Minitab Tools: I-MR Chart
4.4.6 Practical Application: I-MR Chart

4.5 Control Charts for Attribute Data

4.5.1 Fundamental Concepts
4.5.2 NP and P Charts
4.5.3 C and U Charts
4.5.4 Assessment: Control Charts for Attribute Data
4.5.5 Minitab Tools: P Chart
4.5.6 Practical Application: P Chart

4.6 Summary and Objectives Review

Chapter 5: Process Capability

5.1 Overview

5.1.1 Learning Outcomes

5.2 Process Capability for Normal Data

5.2.1 Fundamental Concepts
5.2.2 Assumptions
5.2.3 Testing for Normality
5.2.4 Assessment: Process Capability for Normal Data
5.2.5 Minitab Tools: Normality Test
5.2.6 Practical Application: 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 Assessment: Capability Indices
5.3.5 Minitab Tools: Cp and Pp
5.3.6 Minitab Tools: Sigma Level
5.3.7 Practical Application: Process Capability for Normal Data

5.4 Process Capability for Nonnormal 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 Assessment: Process Capability for Nonnormal 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 Practical Application: Process Capability with Data Transformations
5.4.12 Practical Application: Process Capability with Alternate Distributions

5.5 Summary

5.5.1 Objectives Review

Chapter 6: Analysis of Variance (ANOVA)

6.1 Overview and Learning Outcomes

6.2 Fundamentals of ANOVA

6.2.1 Fundamental Concepts
6.2.2 Graphs and Summary Statistics
6.2.3 Assessment: Fundamentals of ANOVA

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 Assessment: One-Way ANOVA
6.3.6 Minitab Tools: One-Way ANOVA
6.3.7 Practical Application: One-Way ANOVA

6.4 Two-Way ANOVA

6.4.1 Fundamental 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 Assessment: Two-Way ANOVA
6.4.7 Minitab Tools: Two-Way ANOVA
6.4.8 Practical Application: Two-Way ANOVA

6.5 Summary

Chapter 7: Correlation and Regression

7.1 Overview

7.1.1 Learning Outcomes

7.2 Relationship Between Two Quantitative Variables

7.2.1 Fundamental Concepts
7.2.2 Scatterplot
7.2.3 Correlation
7.2.4 Assessment: Relationship Between Two Quantitative Variables
7.2.5 Minitab Tools: Scatterplot
7.2.6 Minitab Tools: Correlation
7.2.7 Practical Application: Scatterplots and Correlation

7.3 Simple Regression

7.3.1 Fundamental Concepts
7.3.2 Regression
7.3.3 Hypothesis Tests and R-squared
7.3.4 Assumptions and Residual Plots
7.3.5 Assessment: Simple Regression
7.3.6 Minitab Tools: Simple Regression
7.3.7 Practical Application: Simple Regression

7.4 Summary and Objectives Review

Chapter 8: Measurement Systems Analysis

8.1 Overview

8.1.1 Learning Outcomes

8.2 Fundamentals of Measurement Systems Analysis

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

8.3 Repeatability and Reproducibility

8.3.1 Fundamental Concepts
8.3.2 Gage R&R Studies
8.3.3 Assessment: Repeatability and Reproducibility

8.4 Graphical Analysis of a Gage R&R Study

8.4.1 Fundamental Concepts
8.4.2 Components of Variation
8.4.3 Xbar and R Charts
8.4.4 Interaction between Operator and Part
8.4.5 Comparative Plots
8.4.6 Gage Run Charts
8.4.7 Assessment: Graphical Analysis of a Gage R&R Study
8.4.8 Minitab Tools: Crossed Gage R&R Study
8.4.9 Minitab Tools: Gage Run Chart
8.4.10 Practical Application: Graphical Analysis of a Gage R&R Study

8.5 Variation

8.5.1 Standard Deviation and Study Variation
8.5.2 Tolerance
8.5.3 Process Variation
8.5.4 Assessment: Variation
8.5.5 Practical Application: Numerical Analysis of a Gage R&R Study

8.6 ANOVA with a Gage R&R Study

8.6.1 Variance Components
8.6.2 Analysis of Variance Tables
8.6.3 Assessment: ANOVA with a Gage R&R Study
8.6.4 Practical Application: ANOVA Output for a Gage R&R Study

8.7 Gage Linearity and Bias Study

8.7.1 Fundamental Concepts
8.7.2 Gage Linearity
8.7.3 Gage Bias
8.7.4 Assessment: Gage Linearity and Bias Study
8.7.5 Minitab Tools: Gage Linearity and Bias Study
8.7.6 Practical Application: Gage Linearity and Bias Study

8.8 Attribute Agreement Analysis

8.8.1 Fundamental Concepts
8.8.2 Binary Data
8.8.3 Nominal Data
8.8.4 Ordinal Data
8.8.5 Assessment: 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 Practical Application: Attribute Agreement Analysis

8.9 Summary

8.9.1 Objectives Review

Chapter 9: Design of Experiments

9.1 Overview and Learning Outcomes

9.2 Factorial Designs

9.2.1 Fundamental Concepts
9.2.2 Creating Full Factorial Designs
9.2.3 Analyzing Full Factorial Designs
9.2.4 Assessment: 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 Practical Application: Create a Full Factorial Design
9.2.8 Practical Application: Analyze a Full Factorial Design

9.3 Blocking and Incorporating Center Points

9.3.1 Blocking
9.3.2 Center Points
9.3.3 Analyzing Designs with Blocks and Center Points
9.3.4 Assessment: Blocking and Incorporating 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 Practical Application: Create a Factorial Design with Blocks and Center Points
9.3.8 Practical Application: Analyze a Factorial Design with Blocks and Center Points

9.4 Fractional Factorial Designs

9.4.1 Fundamental Concepts
9.4.2 Creating Fractional Factorial Designs
9.4.3 Analyzing Fractional Factorial Designs
9.4.4 Assessment: 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 Assessment: Response Optimization
9.5.3 Minitab Tools: Response Optimization
9.5.4 Practical Application: Response Optimization

9.6 Summary and Objectives Review

Requirements

Proficiency in fundamental principles of Microsoft Excel and statistical analysis is required for government operations.
 14 Hours

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