DESIGN OF EXPERIMENTS

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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

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)
• PREDICTION (extending knowledge of relationships to a future event)
• CONTROL (intervening with the intent of either stimulating or preventing a particular event)
PREFERRED PREDICTORS
• GYPSIES
• BOOKIES
• TAROT CARDS
• FARMER’S ALMANAC
• HOROSCOPE
• EQUATIONS
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
• 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
• REGRESSION METHODS
• TAGUCHI METHODS
• SHAININ METHODS
• 6 SIGMA METHODS
• CLASSIC DESIGN OF EXPERIMENTS
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

F = M * A

Where:

F = Force

M = Mass

A = Acceleration

THE THEORY

Thus, the actual model:

TRANSFORMING THE CODED MODEL INTO ACTUAL Ma & Mc

or Ma = 7.5 + 2.5Mc

Therefore

SIMILARLY FOR ACCELERATION

or Aa = 150 + 50 Ac

Therefore

OTHER RESOURCES