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DESIGN OF EXPERIMENTS. M. Piczak November 2005. THE ANALYST’S PURPOSES. UNDERSTANDING (a command of general cause and effect relationships associated with a particular phenomenon) EXPLANATION (application of selected relationships to a particular observation)

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Design of experiments l.jpg

DESIGN OF EXPERIMENTS

M. Piczak

November 2005


The analyst s purposes l.jpg
THE ANALYST’S PURPOSES

  • UNDERSTANDING (a command of general cause and effect relationships associated with a particular phenomenon)

  • EXPLANATION (application of selected relationships to a particular observation)

  • PREDICTION (extending knowledge of relationships to a future event)

  • CONTROL (intervening with the intent of either stimulating or preventing a particular event)


Preferred predictors l.jpg
PREFERRED PREDICTORS

  • GYPSIES

  • BOOKIES

  • TAROT CARDS

  • PALM READERS

  • FARMER’S ALMANAC

  • HOROSCOPE

  • FORTUNE COOKIES

  • EQUATIONS




The doe objective l.jpg
THE DOE OBJECTIVE:

  • To establish a causal link between selected independent variables X’s and particular dependent Y variables

  • To isolate or disentangle the independent effect being exerted on a response variable


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POINT OF DEPARTURE

  • Ho: That there exists no relationship between the X and Y variable (assumes that the value of the coefficient for Xi = 0)

  • Ha: That there exists a relationship between the X and Y variable

The challenge is to disprove Ho and thus, accept Ha


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OPTIONS PRESENT THEMSELVES

  • REGRESSION METHODS

  • TAGUCHI METHODS

  • SHAININ METHODS

  • 6 SIGMA METHODS

  • CLASSIC DESIGN OF EXPERIMENTS


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SOUND EXPERIMENTAL PROCEDURE

  • Start with a uniformity, regularity or anomaly worthy of examination (See ‘What is Worth Studying’)

  • Establish the research questions

  • Undertake a literature review to identify other key explanatory variables (See ‘Weird Predictors’)

  • Explicate the relevant theory for each X variable as it relates to Y, a priori

  • Establish the measures for X and Y

  • Choose an experimental design using Minitab

  • Execute the experiment

  • Gather the data

  • Analyze the data

  • Draw conclusions

  • Repeat as necessary to cumulate knowledge


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LEARNING WITH AN EXAMPLE

F = M * A

Where:

F = Force

M = Mass

A = Acceleration











The theory l.jpg
THE THEORY

Thus, the actual model:


Transforming the coded model into actual ma mc l.jpg
TRANSFORMING THE CODED MODEL INTO ACTUAL Ma & Mc

  or Ma = 7.5 + 2.5Mc

Therefore



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SIMILARLY FOR ACCELERATION

or Aa = 150 + 50 Ac

Therefore





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OTHER RESOURCES

  • http://www.airacad.com/PaperDOE.aspx

  • http://www.statease.com/pubs/popcorn.pdf

  • http://thequalityportal.com/q_know02.htm

  • http://www.hq.nasa.gov/office/hqlibrary/ppm/ppm35.htm

  • http://www.isixsigma.com/tt/doe/


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DESIGN OF EXPERIMENTS

M. Piczak

November 2005

THE END


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