Design and Analysis of Engineering Experiments

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Presentation transcript:

Design and Analysis of Engineering Experiments Ali Ahmad, PhD Chapter 12 Based on Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Robust Design Goal is to make products and processes robust or less sensitive to variability transmitted by factors that cannot be easily controlled Methods for RPD or robust parameter design was developed by Taguchi starting in the 1950s and introduced to western industry in the 1980s Taguchi methods generated much controversy Subsequent research produced an improved approach based on RSM Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Noise variables transmit variability into the response Noise variables cannot be controlled in the end application, but can be controlled for purposes of an experiment (assumption) Objective is to determine the levels of the controllable variables that minimize the variability transmitted from the noise variables This approach is not always applicable – if the noise factors dominate, other methods must be considered changing the design or the process – for example, manufacturing ICs in a clean room to eliminate defects due to microscopic particles or contaminants Sometimes technological factors can be employed to reduce noise – for example, substituting electronic components for mechanical ones Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

A better approach is to model the mean and variance directly Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Design & Analysis of Experiments 7E 2009 Montgomery Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Choice of Designs – First-Order Models This is a design from Design-Expert It is a “small” resolution V design Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Optimal Designs are Potentially Good Choices in Many Situations Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

Designs for the Second-Order Case Modified CCDs Delete the axial runs along the noise variable axes Use 3-5 center runs Optimal Designs JMP and Design-Expert can construct these designs Chapter 12 Design & Analysis of Experiments 7E 2009 Montgomery

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