User manual SAS DESIGN OF EXPERIMENTS RELEASE 9

[. . . ] Design of Experiments Guide Get the Most from JMP® Whether you are a first-time or a long-time user, there is always something to learn about JMP. Visit JMP. com and to find the following: · · · · · · live and recorded Webcasts about how to get started with JMP video demos and Webcasts of new features and advanced techniques schedules for seminars being held in your area success stories showing how others use JMP a blog with tips, tricks, and stories from JMP staff a forum to discuss JMP with other users http://www. jmp. com/getstarted/ Release 9 Design of Experiments Guide "The real voyage of discovery consists not in seeking new landscapes, but in having new eyes. " Marcel Proust JMP, A Business Unit of SAS SAS Campus Drive Cary, NC 27513 The correct bibliographic citation for this manual is as follows: SAS Institute Inc. JMP® 9 Design of Experiments Guide, Second Edition Copyright © 2010, SAS Institute Inc. , Cary, NC, USA ISBN 978-1-60764-597-9 All rights reserved. For a hard-copy book: No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, or otherwise, without the prior written permission of the publisher, SAS Institute Inc. [. . . ] This is because the required number of runs increases dramatically with the number of factors. Using the response surface designer, you choose to use well-known RSM designs for two to eight continuous factors. Response surface designs are useful for modeling and analyzing curved surfaces. To start a response surface design, select DOE > Response Surface Design, or click the Response Surface Design button on the JMP Starter DOE page. 137 Chapter 5 Response Surface Designs Creating a Response Surface Design 137 · · · "Specify Axial Value (Central Composite Designs Only), " p. 140 Enter Responses and Factors The steps for entering responses are the same in Screening Design, Space Filling Design, Mixture Design, Response Surface Design, Custom Design, and Full Factorial Design. These steps are outlined in "Enter Responses and Factors into the Custom Designer, " p. The Factors panel for a response surface design appears with two default continuous factors. To enter more factors, type the number you want in the Factors panel edit box and click Add, as shown in Figure 5. 12. Figure 5. 12 Enter Factors into a Response Surface Design Click Continue to proceed to the next step. Choose a Design Highlight the type of response surface design you want and click Continue. The next sections describe the types of response surface designs shown in Figure 5. 13. 138 Response Surface Designs Creating a Response Surface Design Chapter 5 Figure 5. 13 Choose a Design Type Box-Behnken Designs The Box-Behnken design has only three levels per factor and has no points at the vertices of the cube defined by the ranges of the factors. This is sometimes useful when it is desirable to avoid extreme points due to engineering considerations. The price of this characteristic is the higher uncertainty of prediction near the vertices compared to the central composite design. Central Composite Designs The response surface design list contains two types of central composite designs: uniform precision and orthogonal. These properties of central composite designs relate to the number of center points in the design and to the axial values: · · Uniform precision means that the number of center points is chosen so that the prediction variance near the center of the design space is very flat. For orthogonal designs, the number of center points is chosen so that the second order parameter estimates are minimally correlated with the other parameter estimates. Specify Axial Value (Central Composite Designs Only) When you select a central composite (CCD-Uniform Precision) design and then click Continue, you see the panel in Figure 5. 14. Entering 1. 0 in the text box instructs JMP to place the axial value on the face of the cube defined by the factors, which controls how far out the axial points are. You have the flexibility to enter the values you want to use. Chapter 5 Response Surface Designs Creating a Response Surface Design 139 Figure 5. 14 Display and Modify the Central Composite Design Rotatable makes the variance of prediction depend only on the scaled distance from the center of the design. This causes the axial points to be more extreme than the range of the factor. If this factor range cannot be practically achieved, it is recommended that you choose On Face or specify your own value. Orthogonal makes the effects orthogonal in the analysis. This causes the axial points to be more extreme than the ­1 or 1 representing the range of the factor. If this factor range cannot be practically achieved, it is recommended that you choose On Face or specify your own value. On Face leaves the axial points at the end of the -1 and 1 ranges. User Specified uses the value you enter in the Axial Value text box. If you want to inscribe the design, click the box beside Inscribe. [. . . ] (1947), Sankhya, The Indian Journal of Statistics, Vol 8, Part 2, April. (1988), Response Surface Methodology, Virginia Polytechnic and State University. (1995), The Coordinate Exchange Algorithm for Constructing Exact Optimal Designs, " Technometrics, Vol 37, pp. Meyer, R. D. , Steinberg, D. M. , and Box, G. (1996), Follow-up Designs to Resolve Confounding in Multifactor Experiments, Technometrics, 38:4, p307. [. . . ]