The Selection of Sequences of Two-level Fractional Factorial Plans

The Selection of Sequences of Two-level Fractional Factorial Plans
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.

Optimal Design Procedure for Two-level Fractional Factorial Experiments Given Prior Information about Parameters

Optimal Design Procedure for Two-level Fractional Factorial Experiments Given Prior Information about Parameters
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.

Sequences of Fractional Factorial Plans

Sequences of Fractional Factorial Plans
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).

Practical Experiment Designs

Practical Experiment Designs
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.