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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

DESIGN OF EXPERIMENTS

M. Piczak

November 2005

the analyst s purposes
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
PREFERRED PREDICTORS
  • GYPSIES
  • BOOKIES
  • TAROT CARDS
  • PALM READERS
  • FARMER’S ALMANAC
  • HOROSCOPE
  • FORTUNE COOKIES
  • EQUATIONS
the doe objective
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
point of departure
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

options present themselves
OPTIONS PRESENT THEMSELVES
  • REGRESSION METHODS
  • TAGUCHI METHODS
  • SHAININ METHODS
  • 6 SIGMA METHODS
  • CLASSIC DESIGN OF EXPERIMENTS
sound experimental procedure
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
learning with an example
LEARNING WITH AN EXAMPLE

F = M * A

Where:

F = Force

M = Mass

A = Acceleration

the theory
THE THEORY

Thus, the actual model:

transforming the coded model into actual ma mc
TRANSFORMING THE CODED MODEL INTO ACTUAL Ma & Mc

  or Ma = 7.5 + 2.5Mc

Therefore

similarly for acceleration
SIMILARLY FOR ACCELERATION

or Aa = 150 + 50 Ac

Therefore

other resources
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/
design of experiments28

DESIGN OF EXPERIMENTS

M. Piczak

November 2005

THE END