The Selection Of Sequences Of Two Level Fractional Factorial Plans
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Author | : Sidney Addelman |
Publisher | : |
Total Pages | : 28 |
Release | : 1967 |
Genre | : Mathematical statistics |
ISBN | : |
The categorization of sequences of two-level fractional factorial plans involving from three to nine factors is presented. The categorization is based on the lengths of the interactions in the defining contrast for each regular fractional replicate in a sequence of plans. A typical sequence of plans is presented for each category with up to six factors along with a listing of the estimable parameters and their average variances at each stage of the sequence.
Author | : Sidney Addelman |
Publisher | : |
Total Pages | : 72 |
Release | : 1969 |
Genre | : Factor analysis |
ISBN | : |
Author | : Steven M. Sidik |
Publisher | : |
Total Pages | : 44 |
Release | : 1971 |
Genre | : Factorial experiment designs |
ISBN | : |
Any prior information an experimenter has should be incorporated into the design of further experiments. Assume such information is expressed as probabilities that each parameter of the full factorial model is nonzero. This report develops optimal design procedures by posing the experimental design problem as a finite decision problem. Bays and mini-max design strategies are then derived and their application illustrated. The major computational step is the evaluation of all possible matchings of physical variables to the abstract variables of all potential designs. The technique of telescoping sequences of blocks permits the consideration of experiments to be performed in stages.
Author | : Sidney Addelman |
Publisher | : |
Total Pages | : 113 |
Release | : 1968 |
Genre | : Factor analysis |
ISBN | : |
The report begins with the rationale underlying the performance of an experiment as a sequence of blocks and analyzing the data after each block has been observed. A description is given of several procedures for augmenting one-factor-at-a-time plans, some of which permit the estimation of interaction effects. The general procedure for obtaining orthogonal resolution IV plans as a sequence of two orthogonal main-effect plans is outlined. Consideration is given to adding small numbers of treatment combinations to resolution IV plans in order to obtain some information on a relatively few two-factor interaction effects. The remainder of the report deals with sequences of three or more fractional factorial plans involving from three to seventeen two-level factors. A summary of the properties of each sequence is presented. This summary contains the following information at each stage of every sequence: (1) The number of estimable main effects, (2) the number of estimable two-factor interaction effects, (3) the variance of the estimate of the mean, (4) the average variance of the estimable main effects, (5) the average variance of the estimable two-factor interaction effects, and (6) the average variance of the estimable main and two-factor interaction effects. (Author).
Author | : Arthur G. Holms |
Publisher | : |
Total Pages | : 52 |
Release | : 1969 |
Genre | : Aeronautics |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 574 |
Release | : 1970 |
Genre | : Weights and measures |
ISBN | : |
Author | : William Stokes Connor |
Publisher | : |
Total Pages | : 76 |
Release | : 1961 |
Genre | : Experimental design |
ISBN | : |
Author | : William J. Diamond |
Publisher | : John Wiley & Sons |
Total Pages | : 454 |
Release | : 2001-02-05 |
Genre | : Technology & Engineering |
ISBN | : 9780471390541 |
Um aussagefähige Ergebnisse zu liefern, wollen Experimente gut durchdacht sein. Diese durchgehend aktualisierte 3. Auflage des äußerst erfolgreichen Praxishandbuchs zum Design von Experimenten zeigt Ihnen anschaulich und eingängig, was Sie beachten müssen. Die Verwendung ausschließlich einfacher analytischer Hilfsmittel erleichtert das Verständnis des Stoffes.
Author | : |
Publisher | : |
Total Pages | : 408 |
Release | : 1973 |
Genre | : |
ISBN | : |
Author | : Ghosh |
Publisher | : CRC Press |
Total Pages | : 562 |
Release | : 1990-05-25 |
Genre | : Mathematics |
ISBN | : 9780824782511 |