Factorial One-Factor-at-a-Time Experiments

Factorial experiments are done to measure the average effects of varying each of several factors (experimental conditions, independent variables) over fixed ranges of the other factors. Factors at two levels only are considered here. The system under study is assumed to permit the variation of only...

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Bibliographic Details
Published in:The American statistician 1994-05, Vol.48 (2), p.132-135
Main Author: Daniel, Cuthbert
Format: Article
Language:English
Subjects:
Consistent estimators
Edge designs
Exact sciences and technology
Experimental design
Experimentation
Factorial experiments
Factorials
Mathematics
One-at-a-time plans
Probability and statistics
Random allocation
Sciences and techniques of general use
Statistical Practice
Statistics
Two-level sequential designs
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Summary:Factorial experiments are done to measure the average effects of varying each of several factors (experimental conditions, independent variables) over fixed ranges of the other factors. Factors at two levels only are considered here. The system under study is assumed to permit the variation of only one factor per trial. Up to four factors may be of interest. The sequences proposed, of sizes 7-9, are easy to remember, simple to analyze, and straightforward to augment. Each result is compared with its immediate predecessor or successor only. Thus the three-factor one-at-a-time factorial follows the sequence. (1) 1 , a, ab, abc, bc, c, (1) 2 , where (1) means all factors at their low levels; a means 1 factor, A, at its high level; ab means A and B at high levels; and so forth.
ISSN:0003-1305
1537-2731
DOI:10.1080/00031305.1994.10476042