Some New Saturated Two-Level Designs

First-order saturated designs can have the two desirable properties of being an orthogonal design and having two levels only if n=O mod 4, where n is the number of design points. For other cases, researchers have developed D-optimal two level designs. Recently, two-level saturated designs that are e...

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Bibliographic Details
Main Author: Crosier, Ronald B
Format: Report
Language:English
Subjects:
COEFFICIENTS
EXPERIMENTAL DESIGN
ORTHOGONALITY
PARAMETERS
PE61102A
POLYNOMIALS
Statistics and Probability
VARIABLES
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Summary:First-order saturated designs can have the two desirable properties of being an orthogonal design and having two levels only if n=O mod 4, where n is the number of design points. For other cases, researchers have developed D-optimal two level designs. Recently, two-level saturated designs that are efficient for submodels containing only a few of the factors were developed. These p-efficient designs (p is the number of parameters in a submodel) have two properties not possessed by the D-optimal designs: (near) equal-occurrence of -1's and 1's in each column and near orthogonality of each pair of columns. In this report saturated, two-level designs that estimate the effects of all factors with equal precision are developed. These equal-precision designs are generally better than the p-efficient designs by the three criteria D-effidency, G-efficiency, and maximum variance inflation factor. Equal-precision designs are given for n=3-30, 38, 42, and 50.