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A prototype of an interactive program for the design of experiments

Technische Universiteit Eindhoven
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t~ Technische Universiteit Eindhoven \\\\V(O Den Dolech 2 Postbus 513 5600 MB Eindhoven lnstituut Wiskundige Dienstverlening Eindhoven REPORT IWDE 90-07 A PROTOTYPE OF AN INTERACTIVE PROGRAM FOR THE DESIGN OF EXPERIMENTS E.E.M. van Berkum June 1990 A PROTOTYPE OF AN INTERACTIVE PROGRAM FOR THE DESIGN OF EXPERIMENTS IWDE REPORT 90-07 June 1990 by E.E.M. van Berkum 1. Introduction Design of experiments is an important tool for a research laboratory. In [ 1] a study was made con- cerning the possibility of the development of an interactive computer program, that can be useful in the design of experiments. The following conclusion has been drawn. Two commercial computer programs can be used in this interactive system. CADE can be used for 211-experiments (all factors have 2levels), and Echip can be used for response surface designs (including the cases where there are constraints or where one is dealing with a mixture). The interactive part of the system should be a shell around these two commercial programs and should assist in choosing the appropriate design. The interactive program must generate a batch file that can be used to start one of the commercial programs. 2. Some useful programs The results of a literature study of, amongst other, [2] and [3] were important for the decision that Echip and CADE can be useful. However, one really gets to know a program if one is able to use that program. 2.1. CADE CADE proved to be a little disappointment. The basic designs that can be chosen in CADE are the following. Table 1. Designs of CADE Number of Number of factors Experiment runs Defining contrast 2 full 4 -- 3 full 8 -- 4 full 16 -- l 8 I=ABCD T 5 1 16 I=ABCDE T 6 J.. 16 I=BCDF=ADEF 4 7 l 16 I=BCDF=BDEG=ACDG 8 8 ..L 16 I= ABEF = ABCG = ABDF = ACDF 16 9 1 32 I =ABFG =ADFJ =ACFH =BDGJ 16 10 1 32 32 11 ..L 32 64 ~2- So there is only one design for each number of factors (apart from n =4)

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