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Industrial Statistics with Minitab

Book Description

Industrial Statistics with MINITAB demonstrates the use of MINITAB as a tool for performing statistical analysis in an industrial context. This book covers introductory industrial statistics, exploring the most commonly used techniques alongside those that serve to give an overview of more complex issues. A plethora of examples in MINITAB are featured along with case studies for each of the statistical techniques presented.

Industrial Statistics with MINITAB:

  • Provides comprehensive coverage of user-friendly practical guidance to the essential statistical methods applied in industry.

  • Explores statistical techniques and how they can be used effectively with the help of MINITAB 16.

  • Contains extensive illustrative examples and case studies throughout and assumes no previous statistical knowledge.

  • Emphasises data graphics and visualization, and the most used industrial statistical tools, such as Statistical Process Control and Design of Experiments.

  • Is supported by an accompanying website featuring case studies and the corresponding datasets.

Six Sigma Green Belts and Black Belts will find explanations and examples of the most relevant techniques in DMAIC projects. The book can also be used as quick reference enabling the reader to be confident enough to explore other MINITAB capabilities.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Preface
  5. Part One: Introduction And Graphical Techniques
    1. Chapter 1: A First Look
      1. 1.1 Initial Screen
      2. 1.2 Entering Data
      3. 1.3 Saving Data: Worksheets and Projects
      4. 1.4 Data Operations: An Introduction
      5. 1.5 Deleting and Inserting Columns and Rows
      6. 1.6 First Statistical Analyses
      7. 1.7 Getting Help
      8. 1.8 Personal Configuration
      9. 1.9 Assistant
      10. 1.10 Any Difficulties?
    2. Chapter 2: Graphics for Univariate Data
      1. 2.1 File ‘PULSE’
      2. 2.2 Histograms
      3. 2.3 Changing the Appearance of Histograms
      4. 2.4 Histograms for Various Data Sets
      5. 2.5 Dotplots
      6. 2.6 Boxplots
      7. 2.7 Bar Diagrams
      8. 2.8 Pie Charts
      9. 2.9 Updating Graphs Automatically
      10. 2.10 Adding Text or Figures to a Graph
    3. Chapter 3: Pareto Charts and Cause–Effect Diagrams
      1. 3.1 File ‘DETERGENT’
      2. 3.2 Pareto Charts
      3. 3.3 Cause-and-Effect Diagrams
    4. Chapter 4: Scatterplots
      1. 4.1 File ‘Pulse’
      2. 4.2 Stratification
      3. 4.3 Identifying Points on a Graph
      4. 4.4 Using the ‘Crosshairs’ Option
      5. 4.5 Scatterplots with Panels
      6. 4.6 Scatterplots with Marginal Graphs
      7. 4.7 Creating an Array of Scatterplots
    5. Chapter 5: Three Dimensional Plots
      1. 5.1 3D Scatterplots
      2. 5.2 3D Surface Plots
      3. 5.3 Contour Plots
    6. Chapter 6: Part One: Case Studies
      1. 6.1 Cork
      2. 6.2 Copper
      3. 6.3 Bread
      4. 6.4 Humidity
  6. Part Two: Hypothesis Testing. Comparison Of Treatments
    1. Chapter 7: Random Numbers and Numbers Following a Pattern
      1. 7.1 Introducing Values Following a Pattern
      2. 7.2 Sampling Random Data from a Column
      3. 7.3 Random Number Generation
      4. 7.4 Example: Solving a Problem Using Random Numbers
    2. Chapter 8: Computing Probabilities
      1. 8.1 Probability Distributions
      2. 8.2 Option ‘Probability Density’ or ‘Probability’
      3. 8.3 Option ‘Cumulative Probability’
      4. 8.4 Option ‘Inverse Cumulative Probability’
      5. 8.5 Viewing the Shape of the Distributions
      6. 8.6 Equivalence between Sigmas of the Process and Defects per Million Parts Using ‘Cumulative Probability’
    3. Chapter 9: Hypothesis Testing for Means and Proportions. Normality Test
      1. 9.1 Hypothesis Testing for One Mean
      2. 9.2 Hypothesis Testing and Confidence Interval for a Proportion
      3. 9.3 Normality Test
    4. Chapter 10: Comparison of Two Means, Two Variances or Two Proportions
      1. 10.1 Comparison of Two Means
      2. 10.2 Comparison of Two Variances
      3. 10.3 Comparison of Two Proportions
    5. Chapter 11: Comparison of More than Two Means: Analysis of Variance
      1. 11.1 ANOVA (Analysis of Variance)
      2. 11.2 ANOVA with a Single Factor
      3. 11.3 ANOVA with Two Factors
      4. 11.4 Test for Homogeneity of Variances
    6. Chapter 12: Part Two: Case Studies
      1. 12.1 Welding
      2. 12.2 Rivets
      3. 12.3 Almonds
      4. 12.4 Arrow
      5. 12.5 U Piece
      6. 12.6 Pores
  7. Part Three: Measurement Systems Studies And Capability Studies
    1. Chapter 13: Measurement System Study
      1. 13.1 Crossed Designs and Nested Designs
      2. 13.2 File ‘RR_CROSSED’
      3. 13.3 Graphical Analysis
      4. 13.4 R&R Study for the Data in File ‘RR_CROSSED’
      5. 13.5 File ‘RR_NESTED’
      6. 13.6 Gage R&R Study for the Data in File ‘RR_NESTED’
      7. 13.7 File ‘GAGELIN’
      8. 13.8 Calibration and Linearity Study of the Measurement System
    2. Chapter 14: Capability Studies
      1. 14.1 Capability Analysis: Available Options
      2. 14.2 File ‘VITA_C’
      3. 14.3 Capability Analysis (Normal Distribution)
      4. 14.4 Interpreting the Obtained Information
      5. 14.5 Customizing the Study
      6. 14.6 ‘Within’ Variability and ‘Overall’ Variability
      7. 14.7 Capability Study when the Sample Size Is Equal to One
      8. 14.8 A More Detailed Data Analysis (Capability Sixpack)
    3. Chapter 15: Capability Studies for Attributes
      1. 15.1 File ‘BANK’
      2. 15.2 Capability Study for Variables that Follow a Binomial Distribution
      3. 15.3 File ‘OVEN_PAINTED’
      4. 15.4 Capability Study for Variables that Follow a Poisson Distribution
    4. Chapter 16: Part Three: Case Studies
      1. 16.1 Diameter_measure
      2. 16.2 Diameter_capability_1
      3. 16.3 Diameter_capability_2
      4. 16.4 Web_visits
  8. Part Four: Multi-Vari Charts And Statistical Process Control
    1. Chapter 17: Multi-Vari Charts
      1. 17.1 File ‘MUFFIN’
      2. 17.2 Multi-Vari Chart with Three Sources of Variation
      3. 17.3 Multi-Vari Chart with Four Sources of Variation
    2. Chapter 18: Control Charts I: Individual Observations
      1. 18.1 File ‘CHLORINE’
      2. 18.2 Graph of Individual Observations
      3. 18.3 Customizing the Graph
      4. 18.4 I Chart Options
      5. 18.5 Graphs of Moving Ranges
      6. 18.6 Graph of Individual Observations – Moving Ranges
    3. Chapter 19: Control Charts II: Means and Ranges
      1. 19.1 File ‘VITA_C’
      2. 19.2 Means Chart
      3. 19.3 Graphs of Ranges and Standard Deviations
      4. 19.4 Graphs of Means-Ranges
      5. 19.5 Some Ideas on How to Use Minitab as a Simulator of Processes for Didactic Reasons
    4. Chapter 20: Control Charts for Attributes
      1. 20.1 File ‘MOTORS’
      2. 20.2 Plotting the Proportion of Defective Units (P)
      3. 20.3 File ‘CATHETER’
      4. 20.4 Plotting the Number of Defective Units (NP)
      5. 20.5 Plotting the Number of Defects per Constant Unit of Measurement (C)
      6. 20.6 File ‘FABRIC’
      7. 20.7 Plotting the Number of Defects per Variable Unit of Measurement (U)
    5. Chapter 21: Part Four: Case Studies
      1. 21.1 Bottles
      2. 21.2 Mattresses (1st Part)
      3. 21.3 Mattresses (2nd Part)
      4. 21.4 Plastic (1st Part)
      5. 21.5 Plastic (2nd Part)
  9. Part Five: Regression And Multivariate Analysis
    1. Chapter 22: Correlation and Simple Regression
      1. 22.1 Correlation Coefficient
      2. 22.2 Simple Regression
      3. 22.3 Simple Regression with ‘Fitted Line Plot’
      4. 22.4 Simple Regression with ‘Regression’
    2. Chapter 23: Multiple Regression
      1. 23.1 File ‘CARS2’
      2. 23.2 Exploratory Analysis
      3. 23.3 Multiple Regression
      4. 23.4 Option Buttons
      5. 23.5 Selection of the Best Equation: Best Subsets
      6. 23.6 Selection of the Best Equation: Stepwise
    3. Chapter 24: Multivariate Analysis
      1. 24.1 File ‘LATIN_AMERICA’
      2. 24.2 Principal Components
      3. 24.3 Cluster Analysis for Observations
      4. 24.4 Cluster Analysis for Variables
      5. 24.5 Discriminant Analysis
    4. Chapter 25: Part Five: Case Studies
      1. 25.1 Tree
      2. 25.2 Power Plant
      3. 25.3 Wear
      4. 25.4 TV Failure
  10. Part Six: Experimental Design And Reliability
    1. Chapter 26: Factorial Designs: Creation
      1. 26.1 Creation of the Design Matrix
      2. 26.2 Design Matrix with Data Already in the Worksheet
    2. Chapter 27: Factorial Designs: Analysis
      1. 27.1 Calculating the Effects and Determining the Significant Ones
      2. 27.2 Interpretation of Results
      3. 27.3 A Recap with a Fractional Factorial Design
    3. Chapter 28: Response Surface Methodology
      1. 28.1 Matrix Design Creation and Data Collection
      2. 28.2 Analysis of the Results
      3. 28.3 Contour Plots and Response Surface Plots
    4. Chapter 29: Reliability
      1. 29.1 File
      2. 29.2 Nonparametric Analysis
      3. 29.3 Identification of the Best Model for the Data
      4. 29.4 Parametric Analysis
      5. 29.5 General Graphical Display of Reliability Data
    5. Chapter 30: Part Six: Case Studies
      1. 30.1 Cardigan
      2. 30.2 Steering wheel – 1
      3. 30.3 Steering Wheel – 2
      4. 30.4 Paper Helicopters
      5. 30.5 Microorganisms
      6. 30.6 Jam
      7. 30.7 Photocopies
  11. Appendices
    1. A1 Appendix 1: Answers to Questions that Arise at the Beginning
      1. 1. Why do some columns that should contain data appear to be empty?
      2. 2. I cannot make any operation with the data contained in a column. What is happening?
      3. 3. I saw some instructions in the menus and now there is no way to find them. What is going on?
      4. 4. All menu options are inactive. How can I return to a normal situation?
      5. 5. I have a column containing numbers, but it appears with a text format. What should I do?
      6. 6. I am creating a graph and it is displayed with options that I have not chosen. Why?
      7. 7. I have stored a worksheet but I do not know where it is located. What can I do?
      8. 8. Why is the Minitab prompt MTB> not displayed in the session window?
    2. A2 Appendix 2: Managing Data
      1. A2.1 Copy Columns with Restrictions (File: ‘PULSE’)
      2. A2.2 Selection of Data when Plotting a Graph
      3. A2.3 Stacking and Unstacking of Columns (File ‘BREAD’)
      4. A2.4 Coding and Sorting Data
    3. A3 Appendix 3: Customization of Minitab
      1. A3.1 Configuration Options
      2. A3.2 Use of Toolbars
      3. A3.3 Add Elements to an Existing Toolbar
      4. A3.4 Create Custom Toolbars
  12. Index