1 / 13

The Essentials of 2-Level Design of Experiments Part I: The Essentials of Full Factorial Designs

The Essentials of 2-Level Design of Experiments Part I: The Essentials of Full Factorial Designs. Developed by Don Edwards, John Grego and James Lynch Center for Reliability and Quality Sciences Department of Statistics University of South Carolina 803-777-7800.

penn
Download Presentation

The Essentials of 2-Level Design of Experiments Part I: The Essentials of Full Factorial Designs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Essentials of 2-Level Design of ExperimentsPart I: The Essentials of Full Factorial Designs Developed by Don Edwards, John Grego and James LynchCenter for Reliability and Quality SciencesDepartment of StatisticsUniversity of South Carolina803-777-7800

  2. Part I.3 The Essentials of 2-Cubed Designs • Methodology • Cube Plots • Estimating Main Effects • Estimating Interactions (Interaction Tables and Graphs) • Statistical Significance (Effects Probability Plots) • Example With Interactions • A U-Do-It Case Study

  3. Methodology23 Designs • 23 Means What? • 3 Factors (Usually Labeled A, B, C) • 2 Levels Lo (-) and Hi (+) • Comparing 8= 23 Recipes

  4. Methodology23 Designs - TV with Three Adjustment Knobs • Knob SettingIs At The Top

  5. MethodologyTabular and Graphical Methodology • Cube Plots To See Relationships Between The Response and Factor Effects • Sign Tables To Estimate Factor Effects • Probability Plots To Determine Statistically Significant Factor Effects • Interaction Graphs and Tables To Interpret Interactions • ANOVA Tables

  6. MethodologyCube Plot

  7. MethodologyCube Plot • Note How The Responses are Entered into the Cube (Lo = - and Hi =+)

  8. MethodologyCube Plot • Note How The Responses are Entered into the Cube (Lo = - and Hi =+) • Y1 is the Response when all the Factors are Lo (- - -) • Y2 corresponds to (+ - -),Y3 to (- + -) and Y5 to (- - +)

  9. MethodologyCube Plot • Note How The Responses are Entered into the Cube (Lo = - and Hi =+) • Y8 is the Response when all the Factors are Hi (+ + +) • Y4 corresponds to (+ + -),Y6 to (+ - +) and Y7 to (- + +)

  10. MethodologyExample 1: Targeting a Process/Reducing Variation

  11. MethodologyExample 1 - Accuracy versus Precision

  12. MethodologyExample 1 - Improving a Process • Which Factors Affect • Accuracy? • Precision?

  13. MethodologyExample 1 - Targeting a Process/Reducing VariationVarious Types of Significance • Statistical • Engineering • Economic

More Related